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Warped-AdS$_3$ Near-Horizon Geometries From TsT Transformations

S. Maurelli, R. Noris, M. Oyarzo, M. Trigiante

TL;DR

This work constructs a two-parameter family of Type IIB solutions with geometry $WAdS_3\times WS^3\times M_4$ as near-horizon limits of D1-D5-D3-NS5 brane systems, with full interpolating spacetimes preserving four supercharges. The two independent TsT transformations generate Killing-Kundt spacetimes, yielding null-warped $AdS_3$ and a non-relativistic near-horizon limit that preserves a chiral symmetry and preserves supersymmetry. The authors explore two branches of supersymmetric solutions, including an ${\rm SO}(4)$-covariant generalization, and provide a second TsT realization that introduces a six-dimensional KK vector while maintaining four supercharges. Finally, a doubly-deformed warped black hole is constructed via spacelike TsT deformations, and its thermodynamics satisfy the first law and a Smarr relation, highlighting a string-theoretic origin for warped black holes and suggesting a WCFT interpretation for the dual theory.

Abstract

We provide a string theory realisation of a two-parameter family of Type IIB supergravity solutions of the form ${\rm WAdS}_3 \times {\rm WS}^3 \times M_4$, as near-horizon geometries of supersymmetric backgrounds involving D1-D5 branes, D3-branes and NS5-branes. We show that the full solutions, as well as their near-horizon limits, preserve four supercharges. We end by presenting a new doubly-deformed warped black hole solution and study its thermodynamical properties.

Warped-AdS$_3$ Near-Horizon Geometries From TsT Transformations

TL;DR

This work constructs a two-parameter family of Type IIB solutions with geometry as near-horizon limits of D1-D5-D3-NS5 brane systems, with full interpolating spacetimes preserving four supercharges. The two independent TsT transformations generate Killing-Kundt spacetimes, yielding null-warped and a non-relativistic near-horizon limit that preserves a chiral symmetry and preserves supersymmetry. The authors explore two branches of supersymmetric solutions, including an -covariant generalization, and provide a second TsT realization that introduces a six-dimensional KK vector while maintaining four supercharges. Finally, a doubly-deformed warped black hole is constructed via spacelike TsT deformations, and its thermodynamics satisfy the first law and a Smarr relation, highlighting a string-theoretic origin for warped black holes and suggesting a WCFT interpretation for the dual theory.

Abstract

We provide a string theory realisation of a two-parameter family of Type IIB supergravity solutions of the form , as near-horizon geometries of supersymmetric backgrounds involving D1-D5 branes, D3-branes and NS5-branes. We show that the full solutions, as well as their near-horizon limits, preserve four supercharges. We end by presenting a new doubly-deformed warped black hole solution and study its thermodynamical properties.

Paper Structure

This paper contains 19 sections, 101 equations, 3 figures.

Table of Contents

  1. Introduction
  2. Review of the D1-D5 brane system
  3. Lightlike double deformations of the D1-D5 brane system
  4. Supersymmetric Killing-Kundt deformation
  5. Killing-Kundt class
  6. Supersymmetry
  7. Near-horizon geometry analysis
  8. A larger class of solutions
  9. Supersymmetric Killing-Kundt solution with 6D Kaluza-Klein vector
  10. Near horizon geometry analysis
  11. Doubly-deformed black hole from TsT
  12. Conclusions
  13. Conventions on Type IIB supergravity
  14. The general TsT transformation
  15. Transformation of NS-NS fields
  16. ...and 4 more sections

Figures (3)

  • Figure 1: In the above table, $\times$ indicates the directions along the D-branes, while empty spaces are the transverse directions.
  • Figure 2: The charge density $\rho(r,\psi)$ for different values of $\gamma_2$, given $d_1=1.5$, $d_5=1$, $\psi=\frac{\pi}{2}$.
  • Figure 3: In the above table, the $\times$ along the $\varphi_2$ direction actually indicates that the corresponding extended objects is wrapped the $\mathrm{S}^1$ dual to $\mathbf{A}_2$. The longitudinal directions for each extended object are identified as the dual to the ones defining the corresponding charges.