The large N limit of superconformal field theories is dual to supergravity on Anti-de Sitter spacetimes.
Absorption by Branes and Schwinger Terms in the World Volume Theory
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We study how coincident Dirichlet 3-branes absorb incident gravitons polarized along their world volume. We show that the absorption cross-section is determined by the central term in the correlator of two stress-energy tensors. The existence of a non-renormalization theorem for this central charge in four-dimensional N=4 supersymmetric Yang-Mills theories shows that the leading term at low energies in the absorption cross-section is not renormalized. This guarantees that the agreement of the cross-section with semiclassical supergravity, found in earlier work, survives all loop corrections. The connection between absorption of gravitons polarized along the brane and Schwinger terms in the stress-energy correlators of the world volume theory holds in general. We explore this connection to deduce some properties of the stress-energy tensor OPE's for 2-branes and 5-branes in 11 dimensions, as well as for 5-branes in 10 dimensions.
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Gauge theory correlators in 3+1D N=4 SYM with large N are obtained from the supergravity action on the AdS boundary, with anomalous dimensions for massive string modes growing as 2(n g_YM sqrt(2N))^{1/2} at strong 't Hooft coupling.
Retarded correlators of displacement operators on line defects in holographic thermal CFTs exhibit bouncing singularities that match between interior-sensitive WKB and boundary-only OPE analyses.
citing papers explorer
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The Large N Limit of Superconformal Field Theories and Supergravity
The large N limit of superconformal field theories is dual to supergravity on Anti-de Sitter spacetimes.
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Gauge Theory Correlators from Non-Critical String Theory
Gauge theory correlators in 3+1D N=4 SYM with large N are obtained from the supergravity action on the AdS boundary, with anomalous dimensions for massive string modes growing as 2(n g_YM sqrt(2N))^{1/2} at strong 't Hooft coupling.
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Bouncing singularities and thermal correlators on line defects
Retarded correlators of displacement operators on line defects in holographic thermal CFTs exhibit bouncing singularities that match between interior-sensitive WKB and boundary-only OPE analyses.