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Journal Article

#### Lifshitz as a deformation of Anti-de Sitter

##### Fulltext (public)

1304.7776.pdf

(Preprint), 530KB

JHEP08(2013)026.pdf

(Any fulltext), 626KB

##### Supplementary Material (public)

There is no public supplementary material available

##### Citation

Korovin, Y., Skenderis, K., & Taylor, M. (2013). Lifshitz as a deformation of Anti-de
Sitter.* Journal of high energy physics: JHEP,* *2013*(08):
026. doi:10.1007/JHEP08(2013)026.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0029-7014-6

##### Abstract

We consider holography for Lifshitz spacetimes with dynamical exponent
z=1+epsilon^2, where epsilon is small. We show that the holographically dual
field theory is a specific deformation of the relativistic CFT, corresponding
to the z=1 theory. Treating epsilon as a small expansion parameter we set up
the holographic dictionary for Einstein-Proca models up to order epsilon^2 in
three and four bulk dimensions. We explain how renormalization turns the
relativistic conformal invariance into non-relativistic Lifshitz invariance
with dynamical exponent z=1+epsilon^2. We compute the two-point function of the
conserved spin two current for the dual two-dimensional field theory and verify
that it is Lifshitz invariant. Using only QFT arguments, we show that a
particular class of deformations of CFTs generically leads to Lifshitz scaling
invariance and we construct examples of such deformations.