Towards Gravity solutions of AdS/CMT
Abstract
Description
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
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