Physics 234A: String Theory I

Fall 2015

Basic Info

Time: Mon and Fri, 1:10pm - 2:30pm (lectures);
discussions TBA.
Place: 402 Le Conte Hall

Instructor: Petr Hořava (email: horava@berkeley.edu)
Office: 401 Le Conte Hall.

This course will give a thorough introduction to modern string theory.

In the past two decades or so, string theory has become the dominant theoretical framework for addressing questions about the fundamental structure of matter in our Universe. It has played a powerful role as a generator of new ideas and insights in other fields of physics, ranging from particle phenomenology to quantum gravity, cosmology, and more recently even to condensed matter systems. It has also played a revolutionary role in many recent developments in mathematics. Some of this surprising power of string theory is perhaps explained by the fact that string theory represents a natural extension or completion of the language of quantum many-body systems and quantum field theory, which makes it relevant in all those diverse areas where the methods of many-body physics play an important role.

The main aim of this course is to develop a practical understanding of the basic elements and techniques of string theory, touching on many of the long list of conceptual successes and insights it offers. We will also discuss some of the open questions and puzzles, stressing that string theory is a live and rapidly developing field, which promises many interesting surprises still to come in the future. Anticipating such future developments is one of the most exciting challenges in string theory today.

In the Fall semester, we will cover the following six areas:

I. Introduction: Why strings?
II. The bosonic string.
III. Superstrings and supergravity.
IV. D-branes.
V. The heterotic string.
VI. Nonperturbative string-string dualities and M-theory; selected advanced topics.

The style will be similar to the style of the course taught in Fall 2008, Fall 2009, and Fall 2011. Physics 234A represents a detailed introduction to string theory, and can be taken without any prior knowledge of quantum field theory (for example, it could be taken concurrently with 232A).

The main textbook is again going to be

K. Becker, M. Becker and J.H. Schwarz, String Theory and M-Theory. A Modern Introduction (Cambridge University Press, 2006).

we will occasionally use other resources, including the two volumes of Joe Polchinski's book, the classic two volumes of Green-Schwarz-Witten, or the newer book by Elias Kiritsis (String Theory in a Nutshell), and sometimes even review papers from the arXiv.

Homework Assignments

Homework assignments will be posted on this website weekly (or sometimes biweekly). The assignments will be due at the day/time TBD.

Most homeworks will be assigned from the list of Homework problems in Becker&Becker&Schwarz ([BBS]), unless stated explicitly otherwise. Occasionally, the assignment will contain also solved Exercises from [BBS]; if so, the students are encouraged to solve the problem before they look at the solution in [BBS].

horava@berkeley.edu