Triangle Seminars
Wednesday, 7 Oct 2015
Geometric free energy of toric AdS4/CFT3 models
📍 London
Daisuke Yokoyama
(King's College London)
Abstract:
We study the free energy of the three dimensional N=2 supersymmetric Chern-Simons-Matter theory dual to AdS4 times toric seven dimensional Sasaki-Einstein manifold. Although it is not known in general how to construct the CSM theory from the geometric data of the 7d SE manifold (which is called toric diagram), the free energy in the large N limit may be derived.
We present the free energy as a quartic polynomial of trial R-charges for generic toric diagram with up to 6 vertices, and some particular diagrams with 8 vertices. The free energy reproduces the Martelli-Sparks-Yau volume function.
We study the free energy of the three dimensional N=2 supersymmetric Chern-Simons-Matter theory dual to AdS4 times toric seven dimensional Sasaki-Einstein manifold. Although it is not known in general how to construct the CSM theory from the geometric data of the 7d SE manifold (which is called toric diagram), the free energy in the large N limit may be derived.
We present the free energy as a quartic polynomial of trial R-charges for generic toric diagram with up to 6 vertices, and some particular diagrams with 8 vertices. The free energy reproduces the Martelli-Sparks-Yau volume function.
Posted by: KCL
Thursday, 8 Oct 2015
All gaugings and stable de Sitter in D=7 half-maximal supergravity
Jose Fernandez-Melgarejo
(Harvard)
Abstract:
We study the general formulation of gauged supergravity in
seven dimensions with sixteen supercharges keeping duality covariance by means of the embedding tensor formalism. We first classify all inequivalent duality orbits of consistent deformations. Secondly, we analyse the complete set of critical points in a systematic way. Interestingly, we find the first examples of stable de Sitter solutions within a theory with such a large amount of supersymmetry.
We study the general formulation of gauged supergravity in
seven dimensions with sixteen supercharges keeping duality covariance by means of the embedding tensor formalism. We first classify all inequivalent duality orbits of consistent deformations. Secondly, we analyse the complete set of critical points in a systematic way. Interestingly, we find the first examples of stable de Sitter solutions within a theory with such a large amount of supersymmetry.
Posted by: IC
Higher charge half-BPS four-point correlation functions in planar N=4 SYM
Paul Heslop
(Durham)
Abstract:
We will show how to obtain half-BPS four-point correlation
functions in N=4 SYM at up to 3 loops using symmetries, analytic
properties the Wilson loop/correlator duality, planarity and some
minimal knowledge of the OPE structure relating four-point correlators
of different charges. These can be used to verify recent predictions
for OPE coefficients arising from integrability.
We will show how to obtain half-BPS four-point correlation
functions in N=4 SYM at up to 3 loops using symmetries, analytic
properties the Wilson loop/correlator duality, planarity and some
minimal knowledge of the OPE structure relating four-point correlators
of different charges. These can be used to verify recent predictions
for OPE coefficients arising from integrability.
Posted by: QMW