Abstract
We determine the conditions for maximally supersymmetric AdS5 vacua of five-dimensional gauged \( \mathcal{N} \) = 2 supergravity coupled to vector-, tensor- and hypermultiplets charged under an arbitrary gauge group. In particular, we show that the unbroken gauge group of the AdS5 vacua has to contain an U(1) R -factor. Moreover we prove that the scalar deformations which preserve all supercharges form a Kähler submanifold of the ambient quaternionic Kähler manifold spanned by the scalars in the hypermultiplets.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [hep-th/9711200] [INSPIRE].
A. Kehagias, New type IIB vacua and their F-theory interpretation, Phys. Lett. B 435 (1998) 337 [hep-th/9805131] [INSPIRE].
D.R. Morrison and M.R. Plesser, Nonspherical horizons. 1., Adv. Theor. Math. Phys. 3 (1999) 1 [hep-th/9810201] [INSPIRE].
J. Polchinski, Introduction to Gauge/Gravity Duality, arXiv:1010.6134 [INSPIRE].
S. de Alwis, J. Louis, L. McAllister, H. Triendl and A. Westphal, Moduli spaces in AdS 4 supergravity, JHEP 05 (2014) 102 [arXiv:1312.5659] [INSPIRE].
J. Louis and H. Triendl, Maximally supersymmetric AdS 4 vacua in N = 4 supergravity, JHEP 10 (2014) 007 [arXiv:1406.3363] [INSPIRE].
J. Louis, H. Triendl and M. Zagermann, \( \mathcal{N} \) = 4 supersymmetric AdS 5 vacua and their moduli spaces, JHEP 10 (2015) 083 [arXiv:1507.01623] [INSPIRE].
J. Louis and S. Lüst, Supersymmetric AdS 7 backgrounds in half-maximal supergravity and marginal operators of (1, 0) SCFTs, JHEP 10 (2015) 120 [arXiv:1506.08040] [INSPIRE].
Y. Tachikawa, Five-dimensional supergravity dual of a-maximization, Nucl. Phys. B 733 (2006) 188 [hep-th/0507057] [INSPIRE].
V. Asnin, On metric geometry of conformal moduli spaces of four-dimensional superconformal theories, JHEP 09 (2010) 012 [arXiv:0912.2529] [INSPIRE].
M. Günaydin and M. Zagermann, The vacua of 5-D, N = 2 gauged Yang-Mills/Einstein tensor supergravity: Abelian case, Phys. Rev. D 62 (2000) 044028 [hep-th/0002228] [INSPIRE].
E. Bergshoeff et al., Superconformal N = 2, D = 5 matter with and without actions, JHEP 10 (2002) 045 [hep-th/0205230] [INSPIRE].
E. Bergshoeff, S. Cucu, T. de Wit, J. Gheerardyn, S. Vandoren and A. Van Proeyen, N = 2 supergravity in five-dimensions revisited, Class. Quant. Grav. 21 (2004) 3015 [hep-th/0403045] [INSPIRE].
L. Andrianopoli et al., N = 2 supergravity and N = 2 super Yang-Mills theory on general scalar manifolds: Symplectic covariance, gaugings and the momentum map, J. Geom. Phys. 23 (1997) 111 [hep-th/9605032] [INSPIRE].
M. Günaydin, G. Sierra and P.K. Townsend, Gauging the D = 5 Maxwell-Einstein Supergravity Theories: More on Jordan Algebras, Nucl. Phys. B 253 (1985) 573 [INSPIRE].
D.V. Alekseevsky, V. Cortes, C. Devchand and A. Van Proeyen, Flows on quaternionic Kähler and very special real manifolds, Commun. Math. Phys. 238 (2003) 525 [hep-th/0109094] [INSPIRE].
R. D’Auria and S. Ferrara, On fermion masses, gradient flows and potential in supersymmetric theories, JHEP 05 (2001) 034 [hep-th/0103153] [INSPIRE].
E. Shuster, Killing spinors and supersymmetry on AdS, Nucl. Phys. B 554 (1999) 198 [hep-th/9902129] [INSPIRE].
D.V. Alekseevsky and S. Marchiafava, Hermitian and Kähler submanifolds of a quaternionic Kähler manifold, Osaka J. Math. 38 (2001) 869.
L. O’Raifeartaigh, Group Structure Of Gauge Theories, Cambridge University Press (1986).
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1601.00482
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Louis, J., Muranaka, C. Moduli spaces of AdS5 vacua in \( \mathcal{N} \) = 2 supergravity. J. High Energ. Phys. 2016, 178 (2016). https://doi.org/10.1007/JHEP04(2016)178
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP04(2016)178