String Theory - 2º Semester 2021/2022

Lecturer: Gabriel Lopes Cardoso
Email: gabriel.lopes.cardoso@tecnico.ulisboa.pt
Office: Departamento de Matemática, 5th floor, room 5.42
Classes: Monday 11h-13h, room V1.05; Wednesday 10h-12h, room V0.03. Starts on March 7.


Program

Bosonic string: Polyakov action, open and closed string; quantization.

Introduction to conformal field theory.

String interactions: tree-level and one-loop amplitudes.

Compactification and T-duality: toroidal compactication, closed strings and T-duality.

Fermionic string. RNS string. GSO projection.

Modular invariance.

Low energy effective actions.

Buscher duality.



Bibliography

A Short Introduction to String Theory, Thomas Mohaupt, 2022, Cambridge University Press.

A Primer on String Theory, Volker Schomerus, 2017, Cambridge University Press.

Basic Concepts of String Theory, Ralph Blumenhagen, Dieter Lüst, Stefan Theisen, 2013, Springer.

Quantum Fields and Strings: A Course for Mathematicians, Vol. 2, 1999, American Mathematical Society, IAS.

String Theory, Joseph Polchinski, 1998, Cambridge University Press. What is String Theory?

Superstring Theory, M.B. Green, J.H. Schwarz and E. Witten, 1987, Cambridge University Press.

Paul Ginsparg: Applied Conformal Field Theory.



Evaluation

Homework assignments (60%) + Project (40%)



Project

Project



Weekly assignments

Homework assignments



Summary

Summary