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D3-Branes Wrapped on a Spindle.

Pietro Ferrero1, Jerome P Gauntlett2, Juan Manuel Pérez Ipiña1

  • 1Mathematical Institute, University of Oxford, Woodstock Road, Oxford OX2 6GG, United Kingdom.

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|April 2, 2021
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Summary
This summary is machine-generated.

We constructed new supersymmetric solutions in five-dimensional supergravity, which uplift to type IIB supergravity solutions. These solutions are dual to two-dimensional conformal field theories with specific supersymmetry.

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Area of Science:

  • Theoretical Physics
  • String Theory
  • Supergravity

Background:

  • Minimal gauged supergravity in D=5 provides a framework for studying higher-dimensional theories.
  • Supersymmetric solutions are crucial for understanding the structure of supergravity and its dual field theories.

Purpose of the Study:

  • To construct novel supersymmetric Anti-de Sitter (AdS) solutions in five-dimensional (D=5) minimal gauged supergravity.
  • To investigate the uplift of these solutions to type IIB supergravity on specific manifolds.
  • To explore the dual two-dimensional (d=2) superconformal field theories (SCFTs).

Main Methods:

  • Construction of supersymmetric AdS_{3}×Σ solutions in D=5 minimal gauged supergravity.
  • Uplifting these solutions to type IIB supergravity on S^{5} and Sasaki-Einstein manifolds.
  • Calculation of central charges for the gravity solutions and comparison with field theory results.

Main Results:

  • Successfully constructed supersymmetric AdS_{3}×Σ solutions, where Σ is a spindle orbifold.
  • Demonstrated that these solutions smoothly uplift to type IIB supergravity on S^{5} and other Sasaki-Einstein manifolds.
  • Confirmed the duality to d=2, N=(0,2) SCFTs and showed agreement in central charge calculations.

Conclusions:

  • The study establishes a concrete connection between specific supergravity solutions and d=2 SCFTs.
  • The findings validate the AdS/CFT correspondence in this novel context.
  • This work provides a new avenue for studying quantum field theories through their gravitational duals.