Towards Gravity solutions of AdS/CMT

Abstract

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 $a/b=2$.

1+8 pp, v2 typos fixed, v3 Almost all typos fixed, lines about singularity added and now appears in a compact form, v4 temporal scale invariance is studied

References in corpus (6)

• AdS/CFT Correspondence and Symmetry Breaking
• Gravity Duals of Lifshitz-like Fixed Points
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• On the spectrum of nonrelativistic AdS/CFT
• Null Melvin Twist to Sakai-Sugimoto model

Cited by in corpus (10)

• Non-relativistic holography
• On String Theory Duals of Lifshitz-like Fixed Points
• Correlation Functions in Non-Relativistic Holography
• Non-relativistic CFT and Semi-classical Strings
• Anisotropic gravity solutions in AdS/CMT
• A Note on Black Holes in Asymptotically Lifshitz Spacetime
• Non-relativistic M-Theory solutions based on Kaehler-Einstein spaces
• Non-relativistic supersymmetric Dp branes
• Null Melvin Twist to Sakai-Sugimoto model
• More gravity solutions of AdS/CMT