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2016

The holographic supersymmetric Casimir energy

Genolini, Pietro Benetti, Cassani, Davide, Martelli, Dario et al.

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We consider a general class of asymptotically locally AdS_5 solutions of minimal gauged supergravity, that are dual to superconformal field theories on curved backgrounds S^1 x M_3 preserving two supercharges.

We demonstrate that standard holographic renormalization corresponds to a scheme that breaks supersymmetry.
We propose new boundary terms that restore supersymmetry, and show that for smooth solutions with topology S^1 x R^4 the improved on-shell action reproduces both the supersymmetric Casimir energy and the field theory BPS relation between charges.

The holographic supersymmetric Casimir energy · Around

Built on

S. de Haro, S. N. Solodukhin and K. Skenderis, “Holographic reconstruction of space-time and renormalization in the AdS / CFT correspondence,” Commun. Math. Phys. 217
2001
Earlier work this paper cites.
D. Cassani and D. Martelli, “Supersymmetry on curved spaces and superconformal anomalies,” JHEP 1310
Original
2013
Earlier work this paper cites.
B. Assel, D. Cassani and D. Martelli, “Localization on Hopf surfaces,” JHEP 1408
Original
2014
Earlier work this paper cites.

Similar

C. Closset, T. T. Dumitrescu, G. Festuccia and Z. Komargodski, “The Geometry of Supersymmetric Partition Functions,” JHEP 1401
Original
2014
Cited alongside, same era.
D. Cassani and D. Martelli, “The gravity dual of supersymmetric gauge theories on a squashed S 1 × S 3 S^{1}\times S^{3} ,” JHEP 1408
Original
2014
Cited alongside, same era.
P. B. Genolini, D. Cassani, D. Martelli and J. Sparks, “Holographic renormalization and supersymmetry,” arXiv:1612.06761 [hep-th]
Original
Cited in the paper.

Then

B. Assel, D. Cassani, L. Di Pietro, Z. Komargodski, J. Lorenzen and D. Martelli, “The Casimir Energy in Curved Space and its Supersymmetric Counterpart,” JHEP 1507
Original
2015
Later among the works it cites.
D. Martelli and J. Sparks, “The character of the supersymmetric Casimir energy,” JHEP 1608
Original
2016
Closest in time.

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