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Supersymmetric localization of (higher-spin) JT gravity: a bulk perspective
We study two-dimensional Jackiw-Teitelboim gravity on the disk topology by using a BF gauge theory in the presence of a boundary term. The system can...
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Supersymmetric localization: 𝒩 = (2, 2) theories on S2 and AdS2
Application of the supersymmetric localization method to theories on anti-de Sitter spacetime has received recent interest, yet still remains as a...
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Supersymmetric indices factorize
The extent to which quantum mechanical features of black holes can be understood from the Euclidean gravity path integral has recently received...
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Equivariant localization and holography
We discuss the theory of equivariant localization focussing on applications relevant for holography. We consider geometries comprising compact and...
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Localization and resummationof unstable instantons in 2d Yang-Mills
We compute the exact all-orders perturbative expansion for the partition function of 2d SU(2) Yang-Mills theory on closed surfaces around higher...
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Global anomalies & bordism of non-supersymmetric strings
The three tachyon-free non-supersymmetric string theories in ten dimensions provide a handle on quantum gravity away from the supersymmetric...
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All separable supersymmetric AdS5 black holes
We consider the classification of supersymmetric black hole solutions to five-dimensional STU gauged supergravity that admit torus symmetry. This...
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Holographic supersymmetric Rényi entropies from hyperbolic black holes with scalar hair
We study holographic supersymmetric Rényi entropies from a family of hyperbolic black holes in an Einstein-Maxwell-dilaton (EMD) system under the BPS...
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Supersymmetric phases of AdS4/CFT3
We exhibit an infinite family of supersymmetric phases in the three-dimensional ABJM superconformal field theory and the dual asymptotically AdS 4 ...
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Topological quantum computation on supersymmetric spin chains
Quantum gates built out of braid group elements form the building blocks of topological quantum computation. They have been extensively studied in...
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Equivariant localization for AdS/CFT
We explain how equivariant localization may be applied to AdS/CFT to compute various BPS observables in gravity, such as central charges and...
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Modularity of supersymmetric partition functions
We discover a modular property of supersymmetric partition functions of supersymmetric theories with R-symmetry in four dimensions. This modular...
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Modified supersymmetric indices in AdS3/CFT2
We consider the 𝒩 = (2, 2) AdS 3 /CFT 2 dualities proposed by Eberhardt, where the bulk geometry is AdS 3 × ( S 3 × T 4 )/ℤ k , and the CFT is a deformation...
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Supersymmetric localization on dS: sum over topologies
We find the exact quantum gravity partition function on the static patch of 3d de Sitter spacetime. We have worked in the Chern Simons formulation of...
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Gluon scattering in AdS at finite string coupling from localization
We consider gluons scattering in Type IIB string theory on AdS 5 × S 5 / ℤ 2 in the presence of D7 branes, which is dual to the flavor multiplet...
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Decomposition of BPS moduli spaces and asymptotics of supersymmetric partition functions
We present a prototype for Wilsonian analysis of asymptotics of supersymmetric partition functions of non-abelian gauge theories. Localization allows...