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The 10d uplift of the GPPZ solution

The 10d uplift of the GPPZ solution
The 10d uplift of the GPPZ solution
We present the uplift of the GPPZ solution of the five-dimensional maximal supergravity to ten dimensions. The five dimensional solution involves two real scalar fields, with one of them encoding holographically the (norm of the complex) supersymmetric N = 1 mass deformation and the other the real part of the gaugino condensate. We embed this solution in a consistent truncation of D = 5 maximal supergravity which involves two complex scalars dual to the complex mass deformations and the complex gaugino condensate, and a U(1) gauge field dual to the U(1)R current, and uplift it to ten dimensions. The ten dimensional solution is completely explicit, with all fields given in terms of elementary functions. The metric and the axion-dilaton agree with those of a partial uplift of the GPPZ flow by Pilch and Warner. We analyze the asymptotics and the singularity structure of the ten dimensional solution. The uplifted solution is singular, but the singularity is milder than that of the five dimensional solution, and there is conformal frame in which the metric is only singular at one point of S5. We compare the asymptotics of the 10d solution with that of the Polchinski-Strassler and Freedman-Minahan solutions, and find agreement with Freedman-Minahan and disagreement with Polchinski-Strassler. In particular, we infer that while the Polchinski-Strassler 10d fields satisfy the correct boundary conditions, they do not solve the field equations near the boundary.
1029-8479
Petrini, Michela
e86179ab-5acc-46aa-a40b-5e6462021fd7
Samtleben, Henning
f32b4dcb-b05e-4384-9de1-fbdb246b0027
Schmidt, Stanislav
5dc0de39-708e-4de5-b124-ba36a4c6eb6f
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Petrini, Michela
e86179ab-5acc-46aa-a40b-5e6462021fd7
Samtleben, Henning
f32b4dcb-b05e-4384-9de1-fbdb246b0027
Schmidt, Stanislav
5dc0de39-708e-4de5-b124-ba36a4c6eb6f
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09

Petrini, Michela, Samtleben, Henning, Schmidt, Stanislav and Skenderis, Kostas (2018) The 10d uplift of the GPPZ solution. Journal of High Energy Physics, 1807 (2018) (026). (doi:10.1007/JHEP07(2018)026).

Record type: Article

Abstract

We present the uplift of the GPPZ solution of the five-dimensional maximal supergravity to ten dimensions. The five dimensional solution involves two real scalar fields, with one of them encoding holographically the (norm of the complex) supersymmetric N = 1 mass deformation and the other the real part of the gaugino condensate. We embed this solution in a consistent truncation of D = 5 maximal supergravity which involves two complex scalars dual to the complex mass deformations and the complex gaugino condensate, and a U(1) gauge field dual to the U(1)R current, and uplift it to ten dimensions. The ten dimensional solution is completely explicit, with all fields given in terms of elementary functions. The metric and the axion-dilaton agree with those of a partial uplift of the GPPZ flow by Pilch and Warner. We analyze the asymptotics and the singularity structure of the ten dimensional solution. The uplifted solution is singular, but the singularity is milder than that of the five dimensional solution, and there is conformal frame in which the metric is only singular at one point of S5. We compare the asymptotics of the 10d solution with that of the Polchinski-Strassler and Freedman-Minahan solutions, and find agreement with Freedman-Minahan and disagreement with Polchinski-Strassler. In particular, we infer that while the Polchinski-Strassler 10d fields satisfy the correct boundary conditions, they do not solve the field equations near the boundary.

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Accepted/In Press date: 21 June 2018
e-pub ahead of print date: 4 July 2018
Published date: July 2018

Identifiers

Local EPrints ID: 422366
URI: http://eprints.soton.ac.uk/id/eprint/422366
ISSN: 1029-8479
PURE UUID: 88f59a67-290f-438f-ad1e-e95bcfaf0fbe
ORCID for Kostas Skenderis: ORCID iD orcid.org/0000-0003-4509-5472

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Date deposited: 23 Jul 2018 16:30
Last modified: 26 Nov 2021 02:58

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Contributors

Author: Michela Petrini
Author: Henning Samtleben
Author: Stanislav Schmidt

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