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Open AccessThermal one-point functions: CFT’s with fermions, large d and large spin
We apply the OPE inversion formula on thermal two-point functions of fermions to obtain thermal one-point function of fermion bi-linears appearing in the corresponding OPE. We primarily focus on the OPE channe...
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Article
Open AccessDiscontinuities of free theories on AdS2
The partition functions of free bosons as well as fermions on AdS2 are not smooth as a function of their masses. For free bosons, the partition function on AdS2 is not smooth when the mass saturates the Breitenlo...
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Article
Open AccessEntanglement entropy of local gravitational quenches
We study the time dependence of Rényi/entanglement entropies of locally excited states created by fields with integer spins s ≤ 2 in 4 dimensions. For spins 0, 1 these states are characterised by localised energy...
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Article
Open AccessThermal one point functions, large d and interior geometry of black holes
We study thermal one point functions of massive scalars in AdSd+1 black holes. These are induced by coupling the scalar to either the Weyl tensor squared or the Gauss-Bonnet term. Grinberg and Maldacena argued th...
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Article
Open AccessEntanglement entropy of gravitational edge modes
We consider the linearised graviton in 4d Minkowski space and decompose it into tensor spherical harmonics and fix the gauge. The Gauss law of gravity implies that certain radial components of the Riemann tensor ...
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Article
Open AccessEntanglement in descendants
We study the single interval entanglement and relative entropies of conformal descendants in 2d CFT. Descendants contain non-trivial entanglement, though the entanglement entropy of the canonical primary in th...
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Article
Open AccessPartition functions of p-forms from Harish-Chandra characters
We show that the determinant of the co-exact p-form on spheres and anti-de Sitter spaces can be written as an integral transform of bulk and edge Harish-Chandra characters. The edge character of a co-exact p-form...
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Article
Open AccessHorizon states and the sign of their index in \( \mathcal{N} \) = 4 dyons
Classical single centered solutions of 1/4 BPS dyons in N \( \mathcal{N} \)
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Article
Open AccessHyperbolic cylinders and entanglement entropy: gravitons, higher spins, p-forms
We show that the entanglement entropy of D = 4 linearized gravitons across a sphere recently computed by Benedetti and Casini coincides with that obtained using the Kaluza-Klein tower of traceless transverse mass...
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Article
Open AccessRényi divergences from Euclidean quenches
We study the generalisation of relative entropy, the Rényi divergence Dα(ρ∥ρβ) in 2d CFTs between an excited state density matrix ρ, created by deforming the Hamiltonian, and the thermal density matrix ρβ. Using ...
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Article
Open AccessBoundary conditions and localization on AdS. Part II. General analysis
We develop the method of Green’s function to evaluate the one loop determinants that arise in localization of supersymmetric field theories on AdS spaces. The theories we study have at least
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Article
Open AccessChaos bound in Bershadsky-Polyakov theory
We consider two dimensional conformal field theory (CFT) with large central charge c in an excited state obtained by the insertion of an operator Φ with large dimension ΔΦ ∼ O(c) at spatial infinities in the ther...
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Article
Open AccessProperties of dyons in \( \mathcal{N} \) = 4 theories at small charges
We study three properties of 1/4 BPS dyons at small charges in string compactifications which preserve ...
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Article
Open AccessBootstrap and collider physics of parity violating conformal field theories in d = 3
We study the crossing equations in d = 3 for the four point function of two U(1) currents and two scalars including the presence of a parity violating term for the s-channel stress tensor exchange. We show the ex...
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Article
Open AccessBoundary conditions and localization on AdS. Part I
We study the role of boundary conditions on the one loop partition function the N = ...
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Article
Open AccessGravitational couplings in \( \mathcal{N}=2 \) string compactifications and Mathieu Moonshine
We evaluate the low energy gravitational couplings, Fg in the heterotic E8 ×E8 string theory compactified on orbifolds of K3 × T 2 by g′ which acts as a ℤN automorphism on K3 together with a 1/N shift along T 2. ...
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Article
Open AccessConstraints on parity violating conformal field theories in d = 3
We derive constraints on three-point functions involving the stress tensor, T, and a conserved U(1) current, j, in 2+1 dimensional conformal field theories that violate parity, using conformal collider bounds int...
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Article
Open AccessLocal quenches and quantum chaos from higher spin perturbations
We study local quenches in 1+1 dimensional conformal field theories at large-c by operators carrying higher spin charge. Viewing such states as solutions in Chern-Simons theory, representing infalling massive par...
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Article
Open AccessSpectral sum rules for conformal field theories in arbitrary dimensions
We derive spectral sum rules in the shear channel for conformal field theories at finite temperature in general d ≥ 3 dimensions. The sum rules result from the OPE of the stress tensor at high frequency as well a...
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Article
Open AccessLocalization on AdS2 × S1
Conformal symmetry relates the metric on AdS 2 × S 1 to that of S 3. This implies that under a suitable choice of bo...
