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Interpolating from Bianchi attractors to Lifshitz and AdS spacetimes

DSpace at IIT Bombay

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Field Value
 
Title Interpolating from Bianchi attractors to Lifshitz and AdS spacetimes
 
Creator KACHRU, S
KUNDU, N
SAHA, A
SAMANTA, R
TRIVEDI, SP
 
Subject AdS-CFT Correspondence
Holography and condensed matter physics (AdS/CMT)
RENORMALIZATION-GROUP
BLACK-HOLE
HOLOGRAPHY
POINTS
MODULI
 
Description We construct classes of smooth metrics which interpolate from Bianchi attractor geometries of Types II, III, VI and IX in the IR to Lifshitz or AdS(2) x S-3 geometries in the UV. While we do not obtain these metrics as solutions of Einstein gravity coupled to a simple matter field theory, we show that the matter sector stress-energy required to support these geometries (via the Einstein equations) does satisfy the weak, and therefore also the null, energy condition. Since Lifshitz or AdS(2) x S-3 geometries can in turn be connected to AdS(5) spacetime, our results show that there is no barrier, at least at the level of the energy conditions, for solutions to arise connecting these Bianchi attractor geometries to AdS(5) spacetime. The asymptotic AdS(5) spacetime has no non-normalizable metric deformation turned on, which suggests that furthermore, the Bianchi attractor geometries can be the IR geometries dual to field theories living in flat space, with the breaking of symmetries being either spontaneous or due to sources for other fields. Finally, we show that for a large class of flows which connect two Bianchi attractors, a C-function can be defined which is monotonically decreasing from the UV to the IR as long as the null energy condition is satisfied. However, except for special examples of Bianchi attractors (including AdS space), this function does not attain a finite and non-vanishing constant value at the end points.
 
Publisher SPRINGER
 
Date 2014-12-29T05:00:54Z
2014-12-29T05:00:54Z
2014
 
Type Article
 
Identifier JOURNAL OF HIGH ENERGY PHYSICS, (3)
1029-8479
http://dx.doi.org/10.1007/JHEP03(2014)074
http://dspace.library.iitb.ac.in/jspui/handle/100/17140
 
Language English