45 research outputs found
Higher derivative corrections to R-charged AdS_5 black holes and field redefinitions
We consider four-derivative corrections to the bosonic sector of
five-dimensional N=2 gauged supergravity. Since this theory includes the N=2
graviphoton, we consider both curvature and graviphoton field-strength terms
that show up at the four-derivative level. We construct, to linear order, the
higher-derivative corrections to the non-rotating R-charged AdS_5 black hole
and demonstrate how this solution transforms under field redefinitions.Comment: 20 pages, references adde
Supersymmetric massive truncations of IIb supergravity on Sasaki-Einstein manifolds
Motivated by recent interest in applications of the AdS/CFT correspondence to
condensed matter applications involving fermions, we present the supersymmetric
completion of the recent massive truncations of IIB supergravity on
Sasaki-Einstein manifolds. In particular, we reduce the fermionic sector of IIB
supergravity to obtain five dimensional N=2 supergravity coupled to one
hypermultiplet and one massive vector multiplet. The supersymmetry
transformations and equations of motion are presented and analyzed. Finally, a
particularly interesting truncation to N=2 supergravity coupled to a single
hypermultiplet is presented which is the supersymmetric completion of the
recently constructed bosonic theory dual to a 3+1 dimensional system exhibiting
a superconducting phase transition.Comment: v2:reference added, equations simplified, minor typos fixed;
v3:matches content with prd version, minor typos correcte
1/N^2 corrections to the holographic Weyl anomaly
We compute the O(1) contribution to holographic c-a for IIB supergravity on
AdS_5 x S^5/Z_n and on AdS_5 x T^{1,1}/Z_n. In both cases, we find agreement
with the dual field theory results, thus providing 1/N^2 checks of AdS/CFT with
reduced supersymmetry. Since the holographic computation involves a sum over
shortened multiplets in the KK tower, we provide some details on the S^5 and
T^{1,1} spectra in a form that is convenient when considering their Z_n
orbifolds. The computation for the even Z_n orbifolds of S^5 includes a sum
over the multiplets in the twisted sector that is essential for obtaining
agreement with the dual field theory.Comment: 23 pages, 2 figures. v2: minor corrections and references adde
Central charges from the superconformal index
We present prescriptions for obtaining the central charges, and , of a
four dimensional superconformal quantum field theory from the superconformal
index. At infinite , for holographic theories dual to Sasaki-Einstein
5-manifolds the prescriptions give the parts of the central
charges. This allows us, among other things, to show the exact AdS/CFT matching
of and for arbitrary toric quiver CFTs without adjoint matter that are
dual to smooth Sasaki-Einstein 5-manifolds. In addition, we include evidence
from non-holographic theories for the applicability of these results outside of
a holographic setting and away from the large- limit.Comment: 4+1 pages. v2: minor revisions and added acknowledgements. v3:
improved presentatio
High-Temperature Expansion of Supersymmetric Partition Functions
Di Pietro and Komargodski have recently demonstrated a four-dimensional
counterpart of Cardy's formula, which gives the leading high-temperature
() behavior of supersymmetric partition functions
. Focusing on superconformal theories, we elaborate on the
subleading contributions to their formula when applied to free chiral and U(1)
vector multiplets. In particular, we see that the high-temperature expansion of
terminates at order . We also demonstrate how
their formula must be modified when applied to SU() toric quiver gauge
theories in the planar () limit. Our method for
regularizing the one-loop determinants of chiral and vector multiplets helps to
clarify the relation between the 4d superconformal index and
its corresponding supersymmetric partition function obtained by
path-integration.Comment: 15 pages plus appendices; v2: minor modifications and a "Note added";
v3: presentation improved and minor errors in app B correcte