Search for a holographic dual to AdS_3 x S^3 x S^3 x S^1

Gukov, Sergei and Martinec, Emil and Moore, Gregory and Strominger, Andrew (2005) Search for a holographic dual to AdS_3 x S^3 x S^3 x S^1. Advances in Theoretical and Mathematical Physics, 9 (3). pp. 435-525. ISSN 1095-0761. doi:10.4310/ATMP.2005.v9.n3.a3. https://resolver.caltech.edu/CaltechAUTHORS:20160506-120757475

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Abstract

The problem of finding a holographic dual to string theory on AdS_3×§^3×§^3×§^1 is examined in depth. This background supports a large \CN=4 superconformal symmetry. While in some respects similar to the familiar small \CN=4 systems on AdS_3×§^3×K^3 and AdS_3×§^3×T^4, there are important qualitative differences. Using an analogue of the elliptic genus for large CN=4 theories we rule out all extant proposals--in their simplest form--for a holographic duality to supergravity at generic values of the background fluxes. Modifications of these extant proposals and other possible duals are discussed.

Item Type:

Article

Related URLs:

URL	URL Type	Description
http://dx.doi.org/10.4310/ATMP.2005.v9.n3.a3	DOI	Article
http://www.intlpress.com/site/pub/pages/journals/items/atmp/content/vols/0009/0003/a003/	Publisher	Article
http://arxiv.org/abs/hep-th/0403090	arXiv	Discussion Paper

ORCID:

Author	ORCID
Gukov, Sergei	0000-0002-9486-1762

Additional Information:

© 2005 International Press. We would like to thank J. de Boer, R. Dijkgraaf, J. Maldacena, B. Mazur, H. Ooguri, and K. Skenderis for useful conversations. This work was conducted during the period S.G. served as a Clay Mathematics Institute Long-Term Prize Fellow. G.M. thanks the LPTHE theory group at Jussieu, and the KITP at Santa Barbara for hospitality during the course of part of this work. E.M. was supported in part by DOE grant DE-FG02-90ER40560, G.M. by DOE grant DE-FG02-96ER40949, and A.S. by DE-FG02-90ER40654.

Funders:

Funding Agency	Grant Number
Department of Energy (DOE)	DE-FG02-90ER40560
Department of Energy (DOE)	DE-FG02-96ER40949
Department of Energy (DOE)	DE-FG02-90ER40654

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DOI:

10.4310/ATMP.2005.v9.n3.a3

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CaltechAUTHORS:20160506-120757475

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20160506-120757475

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No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

66714

Collection:

CaltechAUTHORS

Deposited By:

Ruth Sustaita

Deposited On:

06 May 2016 19:37

Last Modified:

11 Nov 2021 00:02

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