Supercharged AdS3 Holography

Given an asymptotically Anti-de Sitter supergravity solution, one can obtain a microscopic interpretation by identifying the corresponding state in the holographically dual conformal field theory. This is of particular importance for heavy pure states that are candidate black hole microstates. Expectation values of light operators in such heavy CFT states are encoded in the asymptotic expansion of the dual bulk configuration. In the D1-D5 system, large families of heavy pure CFT states have been proposed to be holographically dual to smooth horizonless supergravity solutions. We derive the precision holographic dictionary in a new sector of light operators that are superdescendants of scalar chiral primaries of dimension (1,1). These operators involve the action of the supercharges of the chiral algebra, and they play a central role in the proposed holographic description of recently-constructed supergravity solutions known as “supercharged superstrata”. We resolve the mixing of single-trace and multi-trace operators in the CFT to identify the combinations that are dual to single-particle states in the bulk. We identify the corresponding gauge-invariant combinations of supergravity fields. We use this expanded dictionary to probe the proposed holographic description of supercharged superstrata, finding precise agreement between gravity and CFT.

Supergravity solution-generating techniques and canonical transformations of σ-models from O(D, D)

Within the framework of the flux formulation of Double Field Theory (DFT) we employ a generalised Scherk-Schwarz ansatz and discuss the classification of the twists that in the presence of the strong constraint give rise to constant generalised fluxes interpreted as gaugings. We analyse the various possibilities of turning on the fluxes Hijk, Fijk, Qijk and Rijk, and the solutions for the twists allowed in each case. While we do not impose the DFT (or equivalently supergravity) equations of motion, our results provide solution-generating techniques in supergravity when applied to a background that does solve the DFT equations. At the same time, our results give rise also to canonical transformations of 2-dimensional σ-models, a fact which is interesting especially because these are integrability-preserving transformations on the worldsheet. Both the solution-generating techniques of supergravity and the canonical transformations of 2-dimensional σ-models arise as maps that leave the generalised fluxes of DFT and their flat derivatives invariant. These maps include the known abelian/non-abelian/Poisson-Lie T-duality transformations, Yang-Baxter deformations, as well as novel generalisations of them.

Supersymmetric black holes and the SJT/nSCFT1 correspondence

We consider 1/4 BPS black hole solutions of $$ \mathcal{N} $$ N = 2 gauged supergravity in AdS4. The near horizon geometry is AdS2 × S2 and supersymmetry is enhanced. In the first part of the paper we choose a moment map, which allows the embedding of this supergravity solution into a sugra theory with a hypermultiplet. We then perform the s-wave reduction of this theory at the horizon and determine the dilaton multiplet, which couples to both metric and gravitino fluctuations. In the second part we work with Euclidean axial $$ \mathcal{N} $$ N = (2, 2) JT supergravity and show how to add gauged matter in form of covariantly twisted chiral and anti-chiral multiplets. We demonstrate how to reduce the on-shell action to boundary superspace. We compare both theories and calculate the fourpoint function by integrating out gravitons, gravitini and photons for the s-wave setting and by use of the Super-Schwarzian modes in the JT theory.

Wilson loops in 5d long quiver gauge theories

Quiver gauge theories with a large number of nodes host a wealth of Wilson loop operators. Expectation values are obtained, using supersymmetric localization, for Wilson loops in the antisymmetric representations associated with each individual gauge node, for a sample of 5d long quiver gauge theories whose UV fixed points have holographic duals in Type IIB. The sample includes the TN theories and the results are uniformly given in terms of Bloch-Wigner functions. The holographic representation of the Wilson loops is identified. It comprises, for each supergravity solution, a two-parameter family of D3-branes which exactly reproduce the field theory results and identify points in the internal space with the faces of the associated 5-brane web. The expectation values of (anti)fundamental Wilson loops exhibit an enhanced scaling for many operators, which matches between field theory and supergravity.

F-string solution in AdS4 ×𝒞𝒫3 pp-wave background

We present supergravity solution for F-string in pp-wave background obtained from [Formula: see text] with zero flat direction. The classical solution is shown to break all space–time supersymmetries. We explicitly write down the standard as well as supernumerary Killing spinors both for the background and F-string solution.

Non-Supersymmetric CS-Matter Theories with Known AdS Duals

We consider three-dimensional conformal field theories living on a stack ofNanti-M2 branes at the tip of eight-dimensional supersymmetric cones. The corresponding supergravity solution is obtained by changing sign to the four-form in the Freund-Rubin solution representing M2 branes (“skew-whiffing” transformation) and it is known to be stable. The existence of these non-supersymmetric, stable field theories, at least in the largeNlimit, is a peculiarity of theAdS4/CFT3correspondence with respect to the usualAdS5/CFT4, and it is worthwhile to study it. We analyze in detail the KK spectrum of the skew-whiffed solution associated withS7/ℤkand we speculate on the natural field content for a candidate non-supersymmetric dual field theory.

OPEN STRING TACHYON IN SUPERGRAVITY SOLUTION

We study the tachyon condensation of the [Formula: see text]-brane system with a constant tachyon vev in the context of classical solutions of the Type II supergravity. We find that the general solution with the symmetry ISO (1, p)× SO (9-p) (the three-parameter solution) includes the extremal black p-brane solution as an appropriate limit of the solution by fixing one of the three parameters (c1). Furthermore, we compare the long distance behavior of the solution with the massless modes of the closed strings from the boundary state of the [Formula: see text]-brane system with a constant tachyon vev. We find that we must fix c1 to zero and only two parameters are needed to express the tachyon condensation of the [Formula: see text]-brane system. This means that the parameter c1 does not correspond to the tachyon vev of the [Formula: see text]-brane system.

SEMICLASSICAL STRING SOLUTIONS ON DEFORMED NS5-BRANE BACKGROUNDS AND NEW PLANE WAVE

We study different Penrose limits of supergravity solution of NS5-brane in the presence of RR field. Although in the case of NS5-brane we get a four-dimensional plane wave, in the case with RR field we will get two different plane waves; a four-dimensional and a three-dimensional one. These plane wave solutions are the backgrounds that a particular string solution feels at one-loop approximation. Using the one-loop correction one can identify a particular subsector of LST/deformed LST which is dual to type II string theories on these plane waves.