UCSD String Theory Seminar, Winter 2006

UCSD String Theory seminar, Winter 2006


Tuesdays 10:30-12:00 in room 7218.

Organisers: Justin Roberts, Nitu Kitchloo

As usual for our Tuesdays seminar, this is a ``learning seminar'' and most participants will be expected to give talks. In the first meeting at 11am on Tuesday Jan 10, we will give a brief introduction and then survey the contents of the various lectures, so that participants can pick their favorite topic.

The goal is to read the following book:

"A first course in String Theory", by Barton Zwiebach.

In the hands of Witten and other mathematical physicists, string theories (and more generally, the techniques of quantum field theory) have had a gigantic impact on geometry and topology over the last twenty years. Though the genuine physical significance of these subjects is still debatable (many of the mathematically-interesting models are what physicists would call "toy models") and physicists' methods often lack adequate mathematical foundations, they have a strong internal consistency and lead to numerous surprising mathematical conjectures which could scarcely have been contemplated without this insight.

We want in our seminar to try to understand the way physicists work. This is actually quite a hard task, because their goals, intuition and language are really different from ours, and require continual translation. (I would sum up the distinction by saying that mathematicians deal mostly in nouns, physicists in verbs.) Zwiebach's book, for an MIT undergraduate physics course, seems to me unusually readable. Its level of mathematical sophistication is not very high, so we will probably be able to worry mostly about the actual physics. Perhaps later on we can try to read some of the rather more advanced book

"String theory", by Joseph Polchinski.

We will start by reviewing some essential basic physics.


Provisional outline of lecture topics:

Jan 10 (11am): Introductory meeting

Jan 17: Justin Roberts Mechanics, relativity, electromagnetism

Jan 24: Henning Hohnhold Quantum mechanics

Jan 31 : Sean Raleigh The classical string

Feb 7: Dave Clark Conservation laws and strings

Feb 14: Jeff Rabin Quantum field theory

Feb 21: Michael Hansen The quantum open string

Feb 28: Ben Cooper The quantum closed string

March 7: Mark Gross T-duality

March 14: TBA Covariant quantization

March 21: TBA TBA?



justin@math.ucsd.edu