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

145 submissions , 122 unreviewed
3,930 questions , 1,398 unanswered
4,853 answers , 20,624 comments
1,470 users with positive rep
501 active unimported users
More ...

Question about Duality between F-theory on elliptically fibered K3 and Heterotic/Type-I on T^2

+ 3 like - 0 dislike
39 views

I'm studying Sen's paper ``F-Theory and Orientifolds'' [arXiv:hep-th/9605150] where he discusses the duality between F-theory on an elliptically-fibered K3 and heterotic/type-I string theory on a two-torus $T^2$.

The basic idea is to go to a special point in the moduli space of K3, which corresponds to the orbifold limit of K3, i.e. at which K3 locally looks like $T^4/\mathbb{Z}_2$. At this point, it is further argued that the F-theory background reduces to a background in which the axion-dilaton modulus remains constant over the internal manifold of F-theory; so this limit can be identified with a particular orientifold of type-IIB theory, which in turn is T-dual to Type-I string theory on $T^2$.

So in conclusion, at the special point, F-theory on the (elliptically fibered) K3 is dual to Type-I string theory on $T^2$. Now by turning on appropriate background fields, one can deform the theories on each side of the duality away from the special point and one argues that the duality between the theories must hold at all points in the moduli space.

Now on page 3, Sen says

We also explicitly study deformations of the F-theory, as well as the orientifold theory, away from this special point in the moduli space. The moduli space of the orientifold theory is characterized by the vacuum expectation value of the Higgs field in the adjoint representation of the gauge group, or equivalently, locations of the sixteen seven-branes on the internal two dimensional manifold.

I realize I may be asking a question with a very obvious answer but what is the Higgs field and the adjoint representation here? Of what group?


This post imported from StackExchange Physics at 2017-05-07 21:59 (UTC), posted by SE-user leastaction

asked Apr 29 in Theoretical Physics by leastaction (425 points) [ revision history ]
edited May 7 by Dilaton
You should probably just read on. Check out the last paragraph on page 7, for instance. There is some $SO(8)$ gauge theory involved.

This post imported from StackExchange Physics at 2017-05-07 21:59 (UTC), posted by SE-user Danu

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
...