Exercises WS 2016/17
Theoretical Particle Physics I (Prof. Dr. H.-P. Nilles )
Group 1: A. Reinert, Tuesday 8.30-10 a.m. Seminarraum I, PI 2.005
Group 2: S. Colucci, Wednesday 10-12 a.m. Seminarraum II, bctp 2.020
Group 3: T. Opferkuch, Wednesday 5-7 p.m. Seminarraum I, bctp 2.019
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Nr. 12 [pdf ]

Exercises SS 2014
Theoretical Particle Physics II (Prof. Dr. H.-P. Nilles )
Group 1: Toby Opferkuch, Tuesday 2-4 p.m. Ü218, room 2.030, AVZ I
Group 2: Jie Gu, Friday 2-4 p.m. Ü16, room 0.024, AVZ I
Announcement: Group 1 will take place on Thursday 24th July, 1-3 p.m. (unusual room: bctp Seminarraum 2 2.020) instead of Tuesday 15th June, 2-4 p.m.
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Exercises WS 2013-2014
Theoretical Particle Physics (Prof. Dr. H.-P. Nilles )
Group 1: Toby Opferkuch, Monday 10-12 Seminarraum I, PI
Group 2: Swasti Belwal, Thursday 4-6 pm. Horsaal I, IAP
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Exercises SS 2013
Theoretical Particle Astrophysics (Prof. Dr. H.-P. Nilles )
Tutors: Damian K. Mayorga Pena / Paul-K. Oehlmann, Tuesday 8:00-10:00, Room 0.020, AVZ
Nr. 1 [pdf ]
Nr. 2 [pdf ]
Nr. 3 [pdf ]
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Nr. 7 [pdf ]
Nr. 8 [pdf ]
Nr. 9 [pdf ]
Mock Exam [pdf ]

Student Seminar WS 2012-2013
Advanced Topics in Quantum Field Theory (Prof. Dr. H.K. Dreiner & Prof. Dr. H.-P. Nilles)
Seminars takes place on Thursdays at 14ct in Seminar Room bctp 1 (2.019), Wegelerstrasse 10

Date	Speaker	Title
08.11.2012	T. Opferkuch	Chiral Anomaly
22.11.2012	C. Liyanage	Conformal Field Theory
29.11.2012	S. Ehlers	Monopoles
13.12.2012	H. Schmiedt	Symmetry Breaking
10.01.2013	R. Garani	Renormalization Group Flow
24.01.2013	O. Baake	Lorentz Group in higher dimensions
31.01.2013	P. Bröcker	QFT at finite temperature

Exercises SS 2012
String Theory II (Prof. Dr. H.-P. Nilles & Priv. Doz. Dr. S. Förste)
Group 1, Damian Kaloni Mayorga Pena / Fabian Rühle: Thursday 16:00-18:00, Conference Room 2, HISKP
Nr. 0 [pdf ]
Nr. 1 [pdf ]
Nr. 2 [pdf ]
Nr. 3 [pdf ]
Nr. 4 [pdf ]
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Nr. 8 [pdf ]
Nr. 9 [pdf ]

Exercises WS 2011-2012
String Theory I (Prof. Dr. H.-P. Nilles & Priv. Doz. Dr. S. Förste)
Group 1, Michael Blaszczyk / Fabian Rühle: Tuesday 10:00-12:00, Conference Room 1, PI
Nr. 0 [pdf ]
Nr. 1 [pdf ]
Nr. 2 [pdf ]
Nr. 3 [pdf ]
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Exercises SS 2011
Theoretical Particle Physics II (Prof. Dr. H.-P. Nilles & Dr. C. Lüdeling)
Group 1, Paul Oehlmann: Thursday 18:00-20:00
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Exercises WS 2010 / 2011
Theoretical Particle Physics (Prof. Dr. H.-P. Nilles)
Group 1, Fabian Rühle: Wednesday 16:30-18:30, Conference Room 2, PI
Group 2, Claudia Stephan: Thursday 10:00-12:00, Übungsraum 2, AVZ
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Nr. 11 [pdf ]

Exercises SS 2010
Group Theory (Dr. C. Lüdeling )
Group 1, Thomas Wotschke: Monday 10:00-12:00, Room 5, AVZ
Group 2, Daniel Lopes: Tuesday 10:00-12:00, Room 5, AVZ
Group 3, Marco Rauch: Wednesday 10:00-12:00, Room 118 (lecture hall), AVZ
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Exercises SS 2010
Theoretical Particle Physics II (Priv. Doz. Dr. Stefan F?ste)
Group 1, Nana Geraldine Cabo Bizet / Fabian Rühle: Thursday 13:00-15:00, Room 22, AVZ
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Nr. 9 [pdf ]
Nr. 10 [pdf ]
Nr. 11 [pdf ]
Mock Exam [pdf ]

Exercises WS 2009-2010
Theoretical Particle Physics (Prof. Dr. H.-P. Nilles)
Group 1, Val?i L?en: Wednesdays 10:00-12:00, Conference Room I (W160), PI
Group 2, Nana Geraldine Cabo Bizet: Wednesdays 18:00-20:00, AVZ 4
Group 3, Michael Blaszczyk: Thursdays 10:00-12:00, HS IAP
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Exercises SS 2009
Theoretical Astroparticle Physics (Prof. Dr. H.-P. Nilles and Priv. Doz. Dr. Stefan Förste)
Group 1, Michael Blaszczyk and Tae Won Ha: Monday 8:00-10:00, PI SR 1 (English)
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Exercises WS 2008-2009
String Theory (Prof. Dr. H.-P. Nilles)
Group 1, Christoph Lüdeling: Wednesdays 14:15-16:00, AVZ 118 (English)
Nr. 1 [pdf ]
Nr. 2 [pdf ]
Nr. 3 [pdf ]
Nr. 4 [pdf ]
Nr. 5 [pdf ]
Nr. 6 [pdf ]
Nr. 7 [pdf ]
Nr. 8 [pdf ]
General Relativity (Priv. Doz. Dr. Stefan F?ste)
Group 1, Maxim Mai: Wednesdays 10-12, AVZ 5
Group 2, Marco Rauch: Thursdays 8-10, AVZ 22
Nr. 1 [pdf ]
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Nr. 3 [pdf ]
Nr. 4 [pdf ]
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Nr. 10 [pdf ]
Nr. 11 [pdf ]
Nr. 12 [pdf ]
Nr. 13 [pdf ]

Exercises SS 2008
Elementary Particle Physics II (Prof. Dr. H.-P. Nilles)
Denis Klevers
Nr. 1 [pdf ]
Nr. 2 [pdf ]
Nr. 3 [pdf ]
Nr. 4 [pdf ]
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Nr. 10 [pdf ]
Nr. 11 [pdf ]
Nr. 12 [pdf ]

Exercises WS 2006-2007
General Relativity (Prof. Dr. H.-P. Nilles)
Group 1, Jumin Kim: Mondays 8:15-10:00, AVZ 6 (English)
Group 2, Magnus Engenhorst: Tuesdays 17:15-19:00, AVZ 17
Group 3, Bernhard Wurm: Wednesdays 13:15-15:00, AVZ 6
Group 4, Denis Klevers: Fridays 10:15-12:00, AVZ 7
Felix Plöger
Nr. 1/2 [ ps | pdf ]
Lorentz transformations and Electrodynamics
Nr. 3 [ ps | pdf ]
Free movement in a gravitational field; Non-orthogonal coordinates; Locally varying coordinates
Nr. 4 [ ps | pdf ]
Calculus and covariant differentiation; Gradient, Rotation and Divergence
Nr. 5 [ ps | pdf ]
Geodesics of S^2; Riemann tensor; Bianchi identities
Nr. 6 [ ps | pdf ]
The Einstein Hilbert action; Schwarzschild solution (Episode I)
Nr. 7 [ ps | pdf ]
Energy momentum in hydrodynamics; Normal coordinates
Nr. 8 [ ps | pdf ]
Schwarzschild solution (Episode II)
Nr. 9 [ ps | pdf ]
Motion in Schwarzschild solutions; Precession of perihelion
Nr. 10 [ ps | pdf ]
Gravitational waves; Robertson-Walker metric
Nr. 11 [ ps | pdf ]
Friedmann models
Nr. 12 [ ps | pdf ]
Age of the universe

Student Seminar SS 2006
Seminar Theoretische Elementarteilchenphysik (Prof. Dr. M. Drees, Prof. Dr. H.-P. Nilles)
Thursdays, from 4pm to 6pm in HS 1/HISKP

Date	Speaker	Title	Slides	Script
20.04.06	S. Koelling	Sym. Breaking: Pion as a NGB	[ pdf ]	N/A
27.04.06	K. Polejaeva	Chiral Anomaly	[ pdf ]	N/A
04.05.06	R. Schmitz	Magnetic Monopoles	[ pdf ]	N/A
11.05.06	M. Gross	Large N Expansions	[ pdf ]	N/A
18.05.06	J. Kim	Renormalization Group Flow	[ pdf ]	N/A
01.06.06	D. Mross	Solitons, Vortices, Instantons	[ pdf ]	N/A
22.06.06	K. Rosbach	Effective Potential	[ pdf ]	N/A
29.06.06	M. Ronniger	Optical Theorem, Partial Wave Unitarity	[ pdf ]	N/A
06.07.06	K. Helfrich	Axions	[ pdf ]	N/A
13.07.06	B. Eltzner	QFT at finite Temperature	[ pdf ]	N/A

Exercises SS 2006
Elementary Particle Physics II (Prof. Dr. H.-P. Nilles)
Saúl Ramos: Thursdays 10:15-12:00, AVZ 4 (English)
Patrick Vaudrevange
Nr. 1 [ ps | pdf ]
Higgs mass corrections
Nr. 2 [ ps | pdf ]
Grassmann variables and Weyl spinors; Pauli matrices and Weyl spinors; Grassmann differentiation
Nr. 3 [ ps | pdf ]
The SUSY Algebra and the Chiral Representation
Nr. 4 [ ps | pdf ]
The Superpotential; Kinetic terms of chiral superfields; The Wess-Zumino Model
Nr. 5 [ ps | pdf ]
Vector superfields and gauge transformations; Pure supersymmetric abelian Yang-Mills
Nr. 6 [ ps | pdf ]
F-term SUSY breaking in the O'Raifeartaigh model
Nr. 7 [ ps | pdf ]
Gauge invariant couplings; D-term SUSY breaking - part I
Nr. 8 [ ps | pdf ]
D-term SUSY breaking - part II; The Minimal Supersymmetric Standard Model - part I
Nr. 9 [ ps | pdf ]
The MSSM Higgs sector
Nr. 10 [ ps | pdf ]
Supergravity definitions; The Polonyi superpotential
Nr. 11 [ ps | pdf ]
No-Scale Model

Exercises WS 2005/06
Elementary Particle Physics (Prof. Dr. H.-P. Nilles)
Group 1, Felix Plöger: Mondays 11:15-13:00, AVZ 2
Group 2, Eike Müller: Mondays 14:15-16:00, AVZ 116
Group 3, Saúl Ramos: Wednesdays 17:15-19:00, Seminar Room 1 (PI) (English)
Patrick Vaudrevange
Nr. 1 [ ps | pdf ]
Some calculations for the lecture; The Dirac equation; Free solutions of the Dirac equation
Nr. 2 [ ps | pdf ]
The adjoint Dirac equation and currents; Completeness relations; Trace theorems and properties of γ-matrices
Nr. 3 [ ps | pdf ]
Representations of su(2); the Lorentz group; Weyl spinors - part I
Nr. 4 [ ps | pdf ]
Weyl spinors - part II; Dirac spinor - part I; Non-Abelian Gauge Symmetry
Nr. 5 [ ps | pdf ]
Dirac spinor - part II; Non-Abelian Gauge Symmetry - part II; Spontaneous Symmetry Breaking in the Linear Sigma Model
Nr. 6 [ ps | pdf ]
Spin 1/2 fermions coupled to an el.magn. field; Electron-Muon Scattering
Nr. 7 [ ps | pdf ]
Non-Abelian Gauge Symmetry - part III; The Standard Model Higgs Effect - part I
Nr. 8 [ ps | pdf ]
The Standard Model Higgs Effect - part II; Dynkin Diagram of SU(n) - part I
Nr. 9 [ ps | pdf ]
Dynkin Diagram of SU(n) - part II; Representations of SU(n) - part I; The CKM Matrix
Nr. 10 [ ps | pdf ]
Representations of SU(n) - part II; Symmetry Breaking and Branching Rules; Spontaneous Symmetry Breaking in SU(5)
Nr. 11 [ ps | pdf ]
Renormalization of the Electric Charge in QED - part I
Nr. 12 [ ps | pdf ]
Renormalization of the Electric Charge in QED - part II; Dynkin Diagram of SO(2n) - part I
Nr. 13 [ ps | pdf ]
Dynkin Diagram of SO(2n) - part II

Exercises WS 2004/05
General Relativity (Prof. Dr. H.-P. Nilles)
Group 1, Akιn Wingerter: Mondays 16:00, Seminar Room 1 (PI)
Group 2, Nils Carqueville: Fridays 14:00, Seminar Room 1 (PI)
Group 3, Mark Hillenbach: Fridays 14:00, Conference Room 2 (PI)
Nr. 1 [ ps | pdf ]
Lorentz transformations; Space-time diagrams; Time dilation
Nr. 2 [ ps | pdf ]
Electromagnetism; Energy-momentum tensor; Angular momentum
Nr. 3 [ ps | pdf ]
Non-orthogonal coordinates; Christoffel symbols from Lagrange equation; Spherical coordinates
Nr. 4 [ ps | pdf ]
Free movement on geodesics; Riemann tensor
Nr. 5 [ ps | pdf ]
Bianchi identities; Energy-momentum tensor for fluids
Nr. 6 [ ps | pdf ]
Schwarzschild solution
Nr. 7 [ ps | pdf ]
Light deflection in weak fields
Nr. 8 [ ps | pdf ]
Precession of Perihelion
Nr. 9 [ ps | pdf ]
Gravitational waves; Robertson-Walker metric
Nr. 10 [ ps | pdf ]
Age of the universe

Exercises SS 2004
Theoretical Elementary Particle Physics II (Prof. Dr. H.-P. Nilles)
Nr. 1 [ ps | pdf ]
Weyl spinor algebra; SUSY algebra
Nr. 2 [ ps | pdf ]
Superfield representation of SUSY algebra; Left and right handed representations; SUSY transformations of component fields (This is the new version with corrections and clarifications)
Nr. 3 [ ps | pdf ]
Kinetic terms of chiral superfields; F-term SUSY breaking
Nr. 4 [ ps | pdf ]
Vector superfield; Gauge transformations; Spinor superfield
Nr. 5 [ ps | pdf ]
Minimal Supersymmetric Standard Model; MSSM Higgs sector
Nr. 6 [ ps | pdf ]
Supergravity: Polonyi superpotential
Nr. 7 [ ps | pdf ]
No scale model; Dimensional reduction
Nr. 8 [ ps | pdf ]
Orbifold symmetries; 5d Orbifold gauge symmetry breaking

Exercises WS 2003/04
Theoretical Elementary Particle Physics (Prof. Dr. H.-P. Nilles)
Nr. 1 [ ps | pdf ]
Dirac equation; Representation theory of su(2)
Nr. 2 [ ps | pdf ]
Representations of the Lorentz group; Weyl spinors; Dirac spinors
Nr. 3 [ ps | pdf ]
Global and local gauge invariance; representaions of SU(n); Young tableaux; Dynkin's approach to group theory
Nr. 4 [ ps | pdf ]
Tree level Feynman graphs; Mott scattering; Spontaneous symmetry breaking in the linear sigma model
Nr. 5 [ ps | pdf ]
Standard model Higgs effect; Crossing symmetry; Feynman rules
Nr. 6 [ ps | pdf ]
Dimensional regularization of phi^4 theory; triplet Higgs
Nr. 7 [ ps | pdf ]
On-shell renormalization scheme of phi^4 theory; Parity, charge conjugation, time reversal on Dirac spinors
Nr. 8 [ ps | pdf ]
Roots and weights, simple roots, Killing form, Cartan matrix, Dynkin diagram, G2
Nr. 9 [ ps | pdf ]
Symmetry breaking, branching rules, SU(5) GUT
Nr. 10 [ ps | pdf ]
Renormalization group equations, beta-functions, renormalization of the electric charge in QED
Nr. 11 [ ps | pdf ]
Beta-function of phi^4 theory, running masses, anomalous dimension

Student Seminar WS 2003/04
Seminar on Strings and Branes (Prof. Dr. R. Flume, Priv-Doz. Dr. S. Förste),

Date	Speaker	Title	Slides	Script
12.11.03	Kester Tong	Conformal Group in all Dimensions and Ward Identities	N/A	N/A
19.11.03	Alexander Klitz	Ising model as conformal field theory	N/A	N/A
26.11.03		Lecture Conformal Field Theory	N/A	N/A
03.12.03		Dies Academicus	N/A	N/A
10.12.03	Stefan Förste	Non-commutativity ala Seiberg-Witten	N/A	N/A
17.12.03	-	-	N/A	N/A
07.01.04	Rainald Flume	Cardy condition and implications	N/A	N/A
14.01.04	Julius Japs	Chiral algebras	N/A	N/A
21.01.04	Jörg Pohle	WZW models and D-branes	N/A	N/A
28.01.04	Win Nuding	Maldacena conjecture	ps	ps
04.02.04	Xerxes Arsiwalla	Matrix Models	N/A	N/A

Student Seminar SS 2003
Introduction to String Theory (Prof. Dr. H.-P. Nilles, Priv-Doz. Dr. S. Förste),

Date	Speaker	Title	Slides	Script
25.04.	Patrick Vaudrevange	The Bosonic String	[ ps | pdf ]	N/A
02.05. / 09.05.	Felix Plöger	An Introduction to Superstring Theory	[ ps | pdf ]	[ ps | pdf ]
16.05. / 23.05.	Alexander Klitz	Kaluza-Klein Theory, Torus Compactification and T-Duality	[ tif ]	N/A
30.05.	Holger Weber	Heterotic String Theory
06.06.	Corinna Burghardt	Introduction to Supersymmetry and Supergravity
20.06. / 27.06.	Xerxes Arsiwalla	Open Strings and D-Branes
11.07.	Jörg Pohle	Calabi-Yau Compactification of the Heterotic String
18.07.	Markus Niemann	Compactification on Manifolds with G_2 Holonomy

Exercises WS 2002/03
Theoretische Physik I (Prof. Dr. H.-P. Nilles)
Literaturliste Mechanik -> Download [ps][pdf]
> Nr. 1 [ps][pdf] <
Partielle und totale Ableitung, Zylinderkoordinaten, Kugelkoordinaten, effektives Potential
> Nr. 2 [ps][pdf] <
Bewegung im Zentralfeld, Kepler-Problem, Ellipsengleichung, epsilon-Tensor und doppeltes Kreuzprodukt, Erste und zweite kosmische Geschwindigkeit
> Nr. 3 [ps][pdf] <
Raketenproblem, Euler-Lagrange Gleichungen, Kondensation eines Wassertropfens, Snelliussches Brechungsgesetz, Problem der kürzesten Verbindung, Einfache Lagrangefunktionen
> Nr. 4 [ps][pdf] <
Das Problem der Dido, Teilchen in parabolischem Topf, Eigenfrequenzen und Eigenmoden, ein klassisches Qunatisierungsphänomen, Kettenlinie, Ein Modell für Kohlendioxid, Eine Lagrangefunktion der Elektrodynamik
> Nr. 5 [ps][pdf] <
Die Galileigruppe, Noether-Theorem, Ergänzung zum Noether-Theorem, Das massive Federpendel, Das Pendeln von Lasten an einem Kran, Herabrutschendes Seil
> Nr. 6 [ps][pdf] <
Freiheitsgrade, der starre Körper, Transformation des Kreuzproduktes, zweidimensionale Drehungen, Pendelnder Würfel, Billard, Jacobi-Determinante, ein Wagen auf der schiefen Ebene
> Nr. 7 [ps][pdf] <
Nachtrag zur Winkelgeschwindigkeit, Eulergleichung, Wurf eines Gegenstandes, zwei astronomische Perioden, Kommutatoren
> Nr. 8 [ps][pdf] <
Allgemeines zum Hamiltonformalismus, Poissonklammern, die Hamiltonfunktion der Elektrodynamik, Eigenschaften der Poissonklammer, Wiederholung der Mechanik
Literaturliste Elektrostatik -> Download [ps][pdf]
> Nr. 9 [ps][pdf] <
Eigenschaften der Deltadistribution, Greensche Funktion der Laplacegleichung, Greensche Funktion und Deltafunktion in R, Symmetrien der Laplacegleichung, Vektoranalysis, Greensche Theoreme
> Nr. 10 [ps][pdf] <
Elektrischer Dipol und Quadrupol, Punktladung vor einer Metallwand, Geladene Walze und geladenes Rohr, eine Konfiguration von Punktladungen, Punktladung außerhalb einer Metallkugel
> Nr. 11 [ps][pdf] <
Wiederholung der Mechanik, axiale und polare Vektoren, Laplace in Kugelkoordinaten, Kondensatoren, der Satz von Stokes
> Nr. 12 [ps][pdf] <
Zum Integralsatz von Gauß, Wiederholung Spiegelladungen
> Nr. 13 [ps][pdf] <
Eindeutigkeit des dritten Randwertproblems der Potentialtheorie, Legendresche Differentialgleichung, Legendrepolynome, Axialsymmetrische Ladungsverteilung
> Nr. 14 [ps][pdf] <
Kugelflächenfunktionen, Magnetfeld in stromdurchflossener Drahtschlinge, Checkliste Elektrostatik
Exercises WS 2001/02
Theoretical Elementary Particle Physics (Prof. Dr. H.-P. Nilles)
> Nr. 1 <
Elementary definitions and properties of groups and algebras; Representations of groups and algebras; SU(2) and SO(3) HW: Groups, representations and algebras; SU(2) and SO(3) once again
> Nr. 2 <
The Lorentz group; Representations of the Lorentz group HW: Spinors; C, P and T for spinors
> Nr. 3 <
More transformation properties of SU(N) spinors; The SU(3) quark model; Young tableauxs or product representations at Legoland
> Nr. 4 <
The free real scalar field; The free Dirac field Spontaneous symmetry breakdown I/II (postponed!)
> Nr. 5 <
Spontaneous symmetry breakdown I; The Standard Model Higgs-effect; Spontaneous symmetry breaking II (*)
> Nr. 6 <
Gamma gymnastics and spinor identities; Kinematics; e+ e- annihilation
> Nr. 7 <
One-loop correction to the electric charge in QED
> Nr. 8 <
Quantum numbers of SU(5) Grand Unified Theory (GUT)
> Nr. 9 <
Review; Grassmann algebra
> Nr. 10 <
Supersymmetry transformations; Chiral superfields; Vectorsuperfields
> Nr. 11 <
Supersymmetric Gaugetheory; Gaugeinvariant Coupling; Supersymmetric Electrodynamics (SQED)
Exercises SS 2001
Introduction to Strings and Branes (Dr. S. Förste)
For questions or comments please contact Martin Walter.
> Nr. 1 <
Some metric calculus; Polyakov- vs. Nambu-Goto action; Gaugefixing of the Polyakov action
> Nr. 2 <
Worldsheet supersymmetry; Lightcone quantization of the bosonic string
> Nr. 3 <
Type II superstrings
> Nr. 4 <
Toroidal compactification
> Nr. 5 <
The Buscher formulae
> Nr. 6 <
Enhanced gauge symmetries in toroidal compactifications; The S^1/Z_2 orbifold
> Nr. 7 <
Boundary conditions for open strings
> Nr. 8 <
Open strings in non-trivial backgrounds