Quantcast
  • Register
PhysicsOverflow is a next-generation academic platform for physicists and astronomers, including a community peer review system and a postgraduate-level discussion forum analogous to MathOverflow.

Welcome to PhysicsOverflow! PhysicsOverflow is an open platform for community peer review and graduate-level Physics discussion.

Please help promote PhysicsOverflow ads elsewhere if you like it.

News

New printer friendly PO pages!

Migration to Bielefeld University was successful!

Please vote for this year's PhysicsOverflow ads!

Please do help out in categorising submissions. Submit a paper to PhysicsOverflow!

... see more

Tools for paper authors

Submit paper
Claim Paper Authorship

Tools for SE users

Search User
Reclaim SE Account
Request Account Merger
Nativise imported posts
Claim post (deleted users)
Import SE post

Users whose questions have been imported from Physics Stack Exchange, Theoretical Physics Stack Exchange, or any other Stack Exchange site are kindly requested to reclaim their account and not to register as a new user.

Public \(\beta\) tools

Report a bug with a feature
Request a new functionality
404 page design
Send feedback

Attributions

(propose a free ad)

Site Statistics

146 submissions , 123 unreviewed
3,961 questions , 1,408 unanswered
4,911 answers , 20,872 comments
1,470 users with positive rep
518 active unimported users
More ...

  on superstring perturbation theory

+ 4 like - 0 dislike
2767 views

I'd like to know what is the current state of knowledge regarding this topic (I'm aware of some papers by Witten, Berkovits, D'Hoker and Nekrasov, plus an old review by Nelson)

What I'd like to know is, in particular:

i. what is the role of Deligne-Mumford compactification (and of supermoduli spaces) in relation to IR and UV behavior (both in the bosonic and super string; we are actually integrating over the compatcification of moduli space everytime, correct?)

ii. what are the advantages of the different formalisms, e.g. GS, RNS or Berkovits (also, how do spin structures enrich the game?)

iii. one requires modular invariance for one-loop amplitudes (and this is related to UV behavior, right?), and then gets the different types of superstrings; what happens at higher genus/loop order? are there other constraints, or these are enough?

sorry if I messed things up, feel free to correct me

asked Oct 7, 2014 in Theoretical Physics by jj_p (150 points) [ no revision ]
recategorized Oct 7, 2014 by jj_p

Witten has written a series of papers on superstring perturbation theory in the NSR formulation over the last couple of years which addresses several issues that arose in the late 80's and subsequently in the work of D' Hoker and Phong. In my experience, his papers are the best place start learning something from scratch as he writes very well. How I wish I had his clarity of thought! If I find the time, I will take a look at his papers and comment here. His paper with Donagi shows that the super moduli space is not split for genus $>5$ as one would have liked. I think it might mess up the equivalence of the Green-Schwarz and the NSR strings.

Your answer

Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead.
To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL.
Please consult the FAQ for as to how to format your post.
This is the answer box; if you want to write a comment instead, please use the 'add comment' button.
Live preview (may slow down editor)   Preview
Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:
p$\hbar\varnothing$sicsOverflow
Then drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds).
To avoid this verification in future, please log in or register.




user contributions licensed under cc by-sa 3.0 with attribution required

Your rights
...