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

PO is now at the Physics Department of Bielefeld University!

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

205 submissions , 163 unreviewed
5,047 questions , 2,200 unanswered
5,345 answers , 22,709 comments
1,470 users with positive rep
816 active unimported users
More ...

  holography dual in flat spacetime

+ 1 like - 0 dislike
721 views

In AdS/CFT the bulk geometry is AdS spacetime, the flat limit of AdS is taking to the radius of AdS to infinity. By taking this limit can one get the holography dual in flat spacetime from AdS/CFT, or obtain some information about the field theory dual to flat space?

This post imported from StackExchange Physics at 2017-02-17 15:59 (UTC), posted by SE-user phys
asked Jan 12, 2017 in Theoretical Physics by phys (15 points) [ no revision ]
I really don't know but suspect that you'll get stringy S-matrix. Though have little idea what would it be in strong coupling.

This post imported from StackExchange Physics at 2017-02-17 15:59 (UTC), posted by SE-user OON
Check the answer (refs in it) to this question physics.stackexchange.com/q/52748

This post imported from StackExchange Physics at 2017-02-17 15:59 (UTC), posted by SE-user OON
As @OON mentioned, there has been work on deriving flat space scattering amplitudes from AdS/CFT. There is some controversy about whether you can get the full S-matrix from the flat space limit, see for example arxiv.org/abs/1611.05906v2 and arxiv.org/abs/1106.3553. I don't know if these problems are settled yet though.

This post imported from StackExchange Physics at 2017-02-17 15:59 (UTC), posted by SE-user David M

1 Answer

+ 3 like - 0 dislike

First, the $R \rightarrow \infty$ limit is subtle in $AdS_5$ spacetime, because the symmetry group of stringy $\sigma$-model on $AdS_5$ is $PSU(2,2 \vert 4)$, while the symmetry of flat space $\sigma$-model is super-Poincare group. One has to appropriately scale the generators of $SU(2,2 \vert 4)$ before taking the limit in order to get the flat space.

Second, the dictionary of $AdS/CFT$ correspondence states that the 't Hooft parameter of the gauge theory $\lambda=g_{YM}^2 N$ is dual to $R^4/\alpha^{\prime 2}$ on the $AdS$ side. Thus, the limit of infinite radius is the extremely strong coupling limit of the gauge theory. The interesting limit corresponding (presumably) to weakly coupled SYM theory is $R \rightarrow 0$ limit which was extensively studied using Pure Spinor formalism.

These (and many other) topics are discussed in Superstrings in $AdS$ by Mazzucato.

This post imported from StackExchange Physics at 2017-02-17 15:59 (UTC), posted by SE-user Andrey Feldman
answered Jan 13, 2017 by Andrey Feldman (904 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$\varnothing$ysicsOverflow
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).
Please complete the anti-spam verification




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

Your rights
...