D4-branes wrapped on a spindle

Nov 26, 2021
51 pages
Published in:
  • JHEP 02 (2022) 101
  • Published: Feb 14, 2022
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Abstract: (Springer)
We construct supersymmetric [inline-graphic not available: see fulltext]solutions of D = 6 gauged supergravity, where [inline-graphic not available: see fulltext] is a two-dimensional orbifold known as a spindle. These uplift to solutions of massive type IIA supergravity using a general prescription, that we describe. We argue that these solutions correspond to the near-horizon limit of a system of Nf_{f} D8-branes, together with N D4-branes wrapped on a spindle, embedded as a holomorphic curve inside a Calabi-Yau three-fold. The dual field theories are d = 3, N \mathcal{N} = 2 SCFTs that arise from a twisted compactification of the d = 5, N \mathcal{N} = 1 USp(2N) gauge theory. We show that the holographic free energy associated to these solutions is reproduced by extremizing an off- shell free energy, that we conjecture to arise in the large N limit of the localized partition function of the d = 5 theories on [inline-graphic not available: see fulltext]. We formulate a universal proposal for a class of off-shell free energies, whose extremization reproduces all previous results for branes wrapped on spindles, as well as on genus g Riemann surfaces Σg_{g}. We further illustrate this proposal discussing D4-branes wrapped on [inline-graphic not available: see fulltext], for which we present a supersymmetric [inline-graphic not available: see fulltext] solution of D = 6 gauged supergravity along with the associated entropy function.
Note:
  • 51 pages. Minor changes, references added, section added
  • AdS-CFT Correspondence
  • Black Holes in String Theory
  • Gauge-Gravity Correspondence
  • Supergravity Models
  • dimension: 6
  • D-brane: 4
  • free energy
  • supergravity: Type IIA
  • duality: holography
  • gauge field theory: conformal