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Towards Gravity solutions of AdS/CMT · Around

2008

Towards Gravity solutions of AdS/CMT

Pal, Shesansu

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In this short note, we have generalized and constructed gravity solutions with two "exponents" {\it a la} Kachru, Liu and Mulligan.

The coordinate system that is used to construct the gravity solution is useful when $b$ vanishes.
It means we can describe the theory having only the temporal scale invariance apart from the combination of both temporal and spatial scale invariance.
The two point correlation function of the scalar field in the mass less limit is computed in a special case that is $a/b=2$.

Built on

R. M. Hornreich, M. Luban and S. Shtrikman, Critical behavior at the Onset of k-space instability on the λ \lambda line
1975
Earlier work this paper cites.
G. Grinstein, Anisotropic sine-Gordon model and infinite-order phase transitions in three dimensions
1981
Earlier work this paper cites.
P. Breitenlohner and D. Z. Freedman, Phys. Lett. B 115
1982
Earlier work this paper cites.

Similar

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S. S. Gubser, I. R. Klebanov and A. M. Polyakov, Gauge theory correlators from noncritical string theory
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S. Kachru, X. Liu and M. Mulligan, Gravity duals of Lifshitz-like fixed points
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D. T. Son, Towards an Ads/cold atoms correspondence: a geometric realization of the Schr o ¨ \ddot{o} dinger symmetry
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K. Balasubramanian and J. McGreevy, Gravity duals for non-relativistic CFTs
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W. D. Goldberger, AdS/CFT duality for non-relativistic field theory
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C. P. Herzog, M. Rangamani and S. F. Ross, Heating up Galilean holography
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S. S. Pal, Null Melvin Twist to Sakai-Sugimoto model
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Then

I. R. Klebanov and E. Witten, AdS/CFT correspondence and symmetry breaking
1999
Later among the works it cites.
A. Vishwanath, L. Balents and T. Senthil, Quantum criticality and deconfinement in phase transitions between the valence bond solids
2004
Later among the works it cites.

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