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Null warped AdS in higher spin gravity

Veronika Breunhölder
(
- Vienna, Tech. U. and
- Edinburgh U., Sch. Math.
)
,
Mirah Gary
(
- Vienna, Tech. U.
)
,
Daniel Grumiller
(
- Vienna, Tech. U.
)
,
Stefan Prohazka
(
- Vienna, Tech. U.
)

Sep 28, 2015

25 pages

Published in:

JHEP 12 (2015) 021

Published: Dec 3, 2015

e-Print:

1509.08487 [hep-th]

DOI:

10.1007/JHEP12(2015)021

Report number:

TUW-15-19

View in:

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Abstract: (Springer)

We equip three-dimensional spin-3 gravity in the principal embedding with a new set of boundary conditions that we call “asymptotically null warped AdS”. We find a chiral copy of the Polyakov-Bershadsky algebra as asymptotic symmetry algebra, reminiscent of the situation in topologically massive gravity with strict null warped AdS boundary conditions. We prove the invertibility of the map between zuvielbein and metric variables and construct a global gauge transformation to half of AdS spin-3 gravity in the diagonal embedding. This explains why the theory is chiral and why the Polyakov-Bershadsky algebra arises. We then introduce chemical potentials, derive the entropy, free energy, and the holographic response functions, and conclude with a discussion.

Higher Spin Gravity
Higher Spin Symmetry
Chern-Simons Theories
boundary condition: anti-de Sitter
gravitation: massive
gravitation: spin
transformation: gauge
potential: chemical
spin: high
warped

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Figures(1)

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