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
3,953 questions , 1,403 unanswered
4,889 answers , 20,762 comments
1,470 users with positive rep
507 active unimported users
More ...

Geometric (fibre bundle) picture of heterotic string theory?

+ 4 like - 0 dislike
137 views

Does there exist a fibre bundle structure for heterotic string theory that allows to include both, the left moving 26 D bosonic sector and the 10 D right moving supersymmetric sector, in a consistent way?
 

asked Dec 25, 2016 in Theoretical Physics by Dilaton (4,305 points) [ revision history ]
edited Dec 26, 2016 by Dilaton

What do you mean by "fibre bundle structure"? To define a background for heterotic string theory, one needs to choose a background gauge connection on a given principal bundle (of group $E_8 \times E_8$ or $Spin(32)/(\mathbb{Z}/2)$ depending on the version of the heterotic string) but I don't know if it is what you mean.

1 Answer

+ 1 like - 0 dislike

The answer is yes according with the following papers;

1. Keke Li, Character-valued index theorems in supersymmetric string theories;  Class. Quantum Grav. 5 (1988) 95-109.

2.

 

In the paper 1, for the heterotic string with SO(32), the following action is used

where x are bosons ,  psi_ are  right moving fermions; and psi+ are left moving fermions.

According with paper 2 we have the following theorem

Then, combining the papers 1 and 2, it is possible to consider the heterotic string S0(32) with d = 10;  as a principal fiber bundle with structure group  SO(32)xSO(10).   In this case the bosons and the right-moving fermions are living in the associated fiber bundle corresponding to the principal fiber bundle  with structure group SO(10).  The left-moving fermions are living in the associated fiber bundle corresponding to the principal fiber bundle with structure group SO(32).   The bosons and the right-moving fermions are coupled to the curvature tensor for SO(10).  The left.moving fermions are coupled to the Yang-Mills field for SO(32).

Do you agree?

answered Dec 26, 2016 by juancho (860 points) [ no revision ]

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$\hbar$ysicsO$\varnothing$erflow
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
...