D-branes in Yang-Mills theory and emergent gauge symmetry

By Vijay Balasubramanian, D. Berenstein, Bo Feng, Min-xin Huang. 2004

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Four-dimensional supersymmetric SU(N) Yang-Mills theory on a sphere has highly charged baryon-like states built from anti-symmetric combinations of the adjoint scalars. We show that these states, which are equivalently described as holes in a free fermi sea of a reduced matrix model, are D-branes. Their excitations are stringlike and effectively realize Dirichlet and Neumann boundary conditions in various directions. The low energy brane dynamics should realize an emergent gauge theory that is local on a new space. We show that the Gauss' Law associated to this emergent gauge symmetry appears from combinatorial identities relating the stringy excitations. Although these excitations are not BPS, they can be near-BPS and we can hope to study them in perturbation theory. Accordingly, we show that the Chan-Paton factors expected for strings propagating on multiple branes arise dynamically, allowing the emergent gauge symmetry to be non-abelian.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/899a886e633e84c000bb80acc2d46d2eba3c28bf

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Citations in the corpus

Diagonal multi-matrix correlators and BPS operators in N=4 SYM (2007, background): “A lot of progress in this area has been made for the half-BPS case (see for example for some of the initial developments and further references [50, 51, 52, 53, 54]).”
Branes, anti-branes and Brauer algebras in gauge-gravity duality (2007, background): “It will be interesting to apply the technology for constructing operators corresponding to strings between branes, developed in [48, 49, 50] to study the strings between brane and anti-brane using our proposed brane-anti-brane operators trm,n(PRS̄Φ ⊗ Φ ).”
Giant gravitons—with strings attached (I) (2007, unknown): “The Dual of Excited Giant Gravitons 5 2.1 Giants 6 2.2 Excited Giants 8 2.3 Open Strings 14 2.4 A First Look at Two Point Functions 15 2.5 Summary of Results 18 2.6 Two Point Function of a Giant with 3 Strings Attached 22”
Three-dimensional N=6 SCFT's and their membrane dynamics (2008, background): “A similar problem was solved for N = 4 SYM in [55] (see also [56, 57] for previous work in the subject).”
The library of Babel: on the origin of gravitational thermodynamics (2005, background): “(6) It is worth comparing this to the conformal dimensions of various more familiar states in the AdS/CFT correspondence: Supergravity states in AdSd+1 ∆ ≃ d2 + √ d2 4 +M2ℓ2 ≃ O(1).”
Diagonal free field matrix correlators, global symmetries and giant gravitons (2008, background): “The systematic study of the correlation functions of gauge invariant multi-trace local operators in the half-BPS sector has been fruitful in identifying CFT duals [7, 8, 9] of giant gravitons, strings attached to them [10, 11, 12] as well as bulk geometries resulting from their back-reaction on spac”
Giant Gravitons - with Strings Attached (III) (2007, background): “3.1 Dynamical emergence of Chan-Paton factors 14 3.2 Physical basis 16”
The dilatation operator of conformal N=4 super-Yang–Mills theory (2003, background): “For a more detailed treatment of restricted Schur polynomials see [7; 12; 11].”