Branes, anti-branes and Brauer algebras in gauge-gravity duality

By Y. Kimura, Sanjaye Ramgoolam. 2007

171 citations recorded by the source corpus.

We propose gauge theory operators built using a complex Matrix scalar which are dual to brane-anti-brane systems in AdS5 ? S5, in the zero coupling limit of the dual Yang-Mills. The branes involved are half-BPS giant gravitons. The proposed operators dual to giant-anti-giant configurations satisfy the appropriate orthogonality properties. Projection operators in Brauer algebras are used to construct the relevant multi-trace Matrix operators. These are related to the ``coupled representations'' which appear in 2D Yang-Mills theory. We discuss the implications of these results for the quantum mechanics of a complex matrix model, the counting of non-supersymmetric operators and the physics of brane-anti-brane systems. The stringy exclusion principle known from the properties of half-BPS giant gravitons, has a new incarnation in this context. It involves a qualitative change in the map between brane-anti-brane states to gauge theory operators. In the case of a pair of sphere giant and anti-giant this change occurs when the sum of the magnitudes of their angular momenta reaches N.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4cda16ba2419b335c2dd031e23c1e3ec94cf222f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Giant Gravitons - with Strings Attached (III) (2007, background): “Finally, there is now a proposal for gauge theory operators dual to brane-anti-brane states[40].”
Diagonal free field matrix correlators, global symmetries and giant gravitons (2008, methodology): “It should be possible to include the anti-holomorphic operators by using U(3) along with the Brauer algebra BN (m,n) used in [14] for the case of a single complex scalar.”
Diagonal multi-matrix correlators and BPS operators in N=4 SYM (2007, methodology): “For the case of X,X† this was done in [48] using Brauer algebras.”
Exact multi-matrix correlators (2008, methodology): “In [9] it was argued that if γOαγ −1 = Oα for γ ∈ Sn × Sm then γBαγ = Bα for γ ∈ Sn × Sm.”