English

Gravity/Non-Commutative Yang-Mills Correspondence and Doubletons

High Energy Physics - Theory 2009-11-07 v2

Abstract

We discuss the gravity dual description for a non-commutative Yang-Mills theory, which reduces to that on AdS_{5} x S_{5} in the commutative limit. It is found that doubletons do not decouple in this dual gravity description unless one takes the commutative limit. The decoupling of the doubletons in AdS_{5} space implies that the dual gauge theory has SU(N) gauge symmetry. Our result implies that this gravity description is dual to non-commutative U(N) gauge theory. It is compatible with the claim that U(1) and SU(N) gauge symmetries can not separate in non-commutative U(N) gauge theory.

Keywords

Cite

@article{arxiv.hep-th/0112083,
  title  = {Gravity/Non-Commutative Yang-Mills Correspondence and Doubletons},
  author = {Dan Tomino},
  journal= {arXiv preprint arXiv:hep-th/0112083},
  year   = {2009}
}

Comments

24 pages, no figures, references added

R2 v1 2026-07-22T15:08:05.119Z