28 research outputs found
Universal RG Flows Across Dimensions and Holography
We study RG flows between superconformal field theories living in different
spacetime dimensions which exhibit universal properties, independent of the
details of the UV and IR theories. In particular, when the UV and IR theories
are both even-dimensional we establish exact universal relations between their
conformal anomaly coefficients. We also provide strong evidence for similar
relations between appropriately defined free energies for RG flows between
odd-dimensional theories in the large limit. Holographically, these RG
flows across dimensions are described by asymptotically AdS black branes in a
gauged supergravity theory, which we exhibit explicitly. We also discuss the
uplift of these solutions to string and M-theory and comment on how the entropy
of such black branes is captured by the dual field theory.Comment: 64 pages, 2 figures; v2: additional comments and references, typos
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On gauged linear sigma models with torsion
We study a broad class of two dimensional gauged linear sigma models (GLSMs)
with off-shell N=(2,2) supersymmetry that flow to nonlinear sigma models
(NLSMs) on noncompact geometries with torsion. These models arise from coupling
chiral, twisted chiral, and semichiral multiplets to known as well as to a new
N=(2,2) vector multiplet, the constrained semichiral vector multiplet (CSVM).
We discuss three kinds of models, corresponding to torsionful deformations of
standard GLSMs realizing Kahler, hyperkahler, and Calabi-Yau manifolds. The
(2,2) supersymmetry guarantees that these spaces are generalized Kahler. Our
analysis of the geometric structure is performed at the classical level, but we
also discuss quantum aspects such as R-symmetry anomalies. We provide an
explicit example of a generalized Kahler structure on the conifold.Comment: 39 pages, 1 figure. v2: References adde
Non-toric Cones and Chern-Simons Quivers
We obtain an integral formula for the volume of non-toric tri-Sasaki Einstein
manifolds arising from nonabelian hyperkahler quotients. The derivation is
based on equivariant localization and generalizes existing formulas for Abelian
quotients, which lead to toric manifolds. The formula is particularly valuable
in the context of AdS vacua of M-theory and their field
theory duals. As an application, we consider 3d Chern-Simons
theories with affine ADE quivers. While the series corresponds to
toric , the and series are non-toric. We
compute the volumes of the corresponding seven-manifolds and compare to the
prediction from supersymmetric localization in field theory, finding perfect
agreement. This is the first test of an infinite number of non-toric
AdS/CFT dualities.Comment: 2+24 pages. v2: Minor improvements to the text. Matches published
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Deformations of as Yang-Baxter sigma models
We consider a family of deformations of T^{1,1} in the Yang-Baxter sigma
model approach. We first discuss a supercoset description of T^{1,1}, which
makes manifest the full symmetry of the space and leads to the standard
Sasaki-Einstein metric. Next, we consider three-parameter deformations of
T^{1,1} by using classical r-matrices satisfying the classical Yang-Baxter
equation (CYBE). The resulting metric and NS-NS two-form agree exactly with the
ones obtained via TsT transformations, and contain the Lunin-Maldacena
background as a special case. It is worth noting that for AdS_5 x T^{1,1},
classical integrability for the full sector has been argued to be lost. Hence
our result indicates that the Yang-Baxter sigma model approach is applicable
even for non-integrable cosets. This observation suggests that the gravity/CYBE
correspondence can be extended beyond integrable cases.Comment: 21 pages, no figure, LaTeX, v2:clarifications and references added,
v3:minor corrections, further clarifications adde
Bound states of spinning black holes in five dimensions
We find and study supergravity BPS bound states of five-dimensional spinning
black holes in asymptotically flat spacetime. These solutions follow from
multi-string solutions in six-dimensional minimal supergravity and can be
uplifted to F-theory or M-theory. We analyze the regularity conditions and work
out the example of a bound state of two black holes in detail. The bound state
is supported by fluxes through nontrivial topologies exterior to the horizons
and KK momentum. Furthermore, we determine the entropy and compare with other
macroscopic BPS solutions.Comment: 31 pages, 4 figures; typos corrected, minor changes in section 2.