Published June 2005
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Journal Article
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Search for a holographic dual to AdS_3 x S^3 x S^3 x S^1
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Abstract
The problem of finding a holographic dual to string theory on AdS_3ק^3ק^3ק^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_3ק^3×K^3 and AdS_3ק^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.
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.Attached Files
Published - ATMP-2005-0009-0003-a003.pdf
Submitted - 0403090.pdf
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ATMP-2005-0009-0003-a003.pdf
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Additional details
- Eprint ID
- 66714
- Resolver ID
- CaltechAUTHORS:20160506-120757475
- Department of Energy (DOE)
- DE-FG02-90ER40560
- Department of Energy (DOE)
- DE-FG02-96ER40949
- Department of Energy (DOE)
- DE-FG02-90ER40654
- Created
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2016-05-06Created from EPrint's datestamp field
- Updated
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2021-11-11Created from EPrint's last_modified field