All AdS7 solutions of type II supergravity

By Fabio Apruzzi, M. Fazzi, Dario Rosa, A. Tomasiello. 2013

208 citations recorded by the source corpus.

A bstractIn M-theory, the only AdS7 supersymmetric solutions are AdS7 × S4 and its orbifolds. In this paper, we find and classify new supersymmetric solutions of the type AdS7 × M3 in type II supergravity. While in IIB none exist, in IIA with Romans mass (which does not lift to M-theory) there are many new ones. We use a pure spinor approach reminiscent of generalized complex geometry. Without the need for any Ansatz, the system determines uniquely the form of the metric and fluxes, up to solving a system of ODEs. Namely, the metric on M3 is that of an S2 fibered over an interval; this is consistent with the Sp(1) R-symmetry of the holographically dual (1,0) theory. By including D8 brane sources, one can numerically obtain regular solutions, where topologically M3 ≅ S3.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/72155fe7b7b0c874037df99097002e9b0f9a35ed

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In Astronomy and Astrophysics

  1. A. Tomasiello
  2. J. Heckman
  3. C. Vafa
  4. M. Graña
  5. Hirosi Ooguri
  6. B. Pioline
  7. N. Seiberg
  8. R. Dijkgraaf

In Nuclear and High Energy Physics

  1. J. Heckman
  2. M. Del Zotto
  3. C. Vafa
  4. A. Tomasiello
  5. Marcos Mariño
  6. Tom Rudelius
  7. Eran Palti
  8. Washington Taylor

In Statistical and Nonlinear Physics

  1. M. Del Zotto
  2. A. Tomasiello
  3. J. Heckman
  4. C. Vafa
  5. Marcos Mariño
  6. Mina Aganagic
  7. R. Dijkgraaf
  8. A. Klemm

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