Sums over representations of half-BPS Wilson loops in SYM matrix models are dual to bubbling wormhole geometries of multi-covered AdS5 x S5 with intersecting S4 boundaries.
Holographic Wilson Loops
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abstract
We show that all half-BPS Wilson loop operators in N=4 SYM -- which are labeled by Young tableaus -- have a gravitational dual description in terms of D5-branes or alternatively in terms of D3-branes in AdS_5xS^5. We prove that the insertion of a half-BPS Wilson loop operator in the cal N=4 SYM path integral is achieved by integrating out the degrees of freedom on a configuration of bulk D5-branes or alternatively on a configuration of bulk D3-branes. The bulk D5-brane and D3-brane descriptions are related by bosonization.
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Bubbling wormholes and matrix models
Sums over representations of half-BPS Wilson loops in SYM matrix models are dual to bubbling wormhole geometries of multi-covered AdS5 x S5 with intersecting S4 boundaries.
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