40 research outputs found
On Exactly Marginal Deformations Dual to -Field Moduli of IIB Theory on SE
The complex dimension of the space of exactly marginal deformations for
quiver CFTs dual to IIB theory compactified on is known to be
generically three. Simple general formulas already exist for two of the exactly
marginal directions in the space of couplings, one of which corresponds to the
sum of the (inverse squared of) gauge couplings, and the other to the
-deformation. Here we identify the third exactly marginal direction,
which is dual to the modulus on the gravity side. This
identification leads to a relation between the field theory gauge couplings and
the vacuum expectation value of the gravity modulus that we further support by
a computation related to the chiral anomaly induced by added fractional branes.
We also present a simple algorithm for finding similar exactly marginal
directions in any CFT described by brane tiling, and demonstrate it for the
quiver CFTs dual to IIB theory compactified on and the Suspended
Pinch Point.Comment: 28 pages, JHEP style. v2: minor corrections, added references and
acknowledgements. v3: a number of speculative comments regarding the
application of the Konishi anomaly equation to our problem are removed. v4:
the proposal in Eq. (2.4) added back as a conjectur
Constraints on chiral operators in N=2 SCFTs
Open Access, © The Authors. Article funded by SCOAP3.
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Superconformal indices at large N and the entropy of AdS5 x SE5 black holes
The large N limit of the four-dimensional superconformal index was computed and successfully compared to the entropy of a class of AdS5 black holes only in the particular case of equal angular momenta. Using the Bethe ansatz formulation, we compute the index at large N with arbitrary chemical potentials for all charges and angular momenta, for general four-dimensional conformal theories with a holographic dual. We conjecture and bring some evidence that a particular universal contribution to the sum over Bethe vacua dominates the index at large N. For SYM, this contribution correctly leads to the entropy of BPS Kerr-Newman black holes in AdS5 x S5 for arbitrary values of the conserved charges, thus completing the microscopic derivation of their microstates. We also consider theories dual to AdS5 x SE5, where SE5 is a Sasaki-Einstein manifold. We first check our results against the so-called universal black hole. We then explicitly construct the near-horizon geometry of BPS Kerr-Newman black holes in AdS5 T^{1,1}, charged under the baryonic symmetry of the conifold theory and with equal angular momenta. We compute the entropy of these black holes using the attractor mechanism and find complete agreement with the field theory predictions
Holographic renormalization and supersymmetry
Holographic renormalization is a systematic procedure for regulating
divergences in observables in asymptotically locally AdS spacetimes. For dual
boundary field theories which are supersymmetric it is natural to ask whether
this defines a supersymmetric renormalization scheme. Recent results in
localization have brought this question into sharp focus: rigid supersymmetry
on a curved boundary requires specific geometric structures, and general
arguments imply that BPS observables, such as the partition function, are
invariant under certain deformations of these structures. One can then ask if
the dual holographic observables are similarly invariant. We study this
question in minimal N = 2 gauged supergravity in four and five dimensions. In
four dimensions we show that holographic renormalization precisely reproduces
the expected field theory results. In five dimensions we find that no choice of
standard holographic counterterms is compatible with supersymmetry, which leads
us to introduce novel finite boundary terms. For a class of solutions
satisfying certain topological assumptions we provide some independent tests of
these new boundary terms, in particular showing that they reproduce the
expected VEVs of conserved charges.Comment: 70 pages; corrected typo