Open Access
June 2005 Search for a holographic dual to $AdS_3\times S^3\times S^3\times S^1$
Sergei Gukov, Emil Martinec, Gregory Moore, Andrew Strominger
Adv. Theor. Math. Phys. 9(3): 435-525 (June 2005).


The problem of finding a holographic dual to string theory on $AdS_3 \times \mathbf{S}^3 \times \mathbf{S}^3 \times \mathbf{S}^1$ is examined in depth. This background supports a large $\mathcal{N}=4$ superconformal symmetry. While in some respects similar to the familiar small $\mathcal{N}=4$ systems on $AdS_3\times \mathbf{S}^3\times K3$ and $AdS_3\times \mathbf{S}^3\times T^4$, there are important qualitative differences. Using an analogue of the elliptic genus for large $\mathcal{N}=4$ 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.


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Sergei Gukov. Emil Martinec. Gregory Moore. Andrew Strominger. "Search for a holographic dual to $AdS_3\times S^3\times S^3\times S^1$." Adv. Theor. Math. Phys. 9 (3) 435 - 525, June 2005.


Published: June 2005
First available in Project Euclid: 3 April 2006

zbMATH: 1081.81090
MathSciNet: MR2201682

Rights: Copyright © 2005 International Press of Boston

Vol.9 • No. 3 • June 2005
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