8 research outputs found
Holographic Coulomb Branch Flows with N=1 Supersymmetry
We obtain a large, new class of N=1 supersymmetric holographic flow
backgrounds with U(1)^3 symmetry. These solutions correspond to flows toward
the Coulomb branch of the non-trivial N=1 supersymmetric fixed point. The
massless (complex) chiral fields are allowed to develop vevs that are
independent of their two phase angles, and this corresponds to allowing the
brane to spread with arbitrary, U(1)^2 invariant, radial distributions in each
of these directions. Our solutions are "almost Calabi-Yau:" The metric is
hermitian with respect to an integrable complex structure, but is not Kahler.
The "modulus squared" of the holomorphic (3,0)-form is the volume form, and the
complete solution is characterized by a function that must satisfy a single
partial differential equation that is closely related to the Calabi-Yau
condition. The deformation from a standard Calabi-Yau background is driven by a
non-trivial, non-normalizable 3-form flux dual to a fermion mass that reduces
the supersymmetry to N=1. This flux also induces dielectric polarization of the
D3-branes into D5-branes.Comment: 22 pages; harvmac. Typos corrected;small improvements in presentatio
The complex geometry of holographic flows of quiver gauge theories
We argue that the complete Klebanov-Witten flow solution must be described by
a Calabi-Yau metric on the conifold, interpolating between the orbifold at
infinity and the cone over T^(1,1) in the interior. We show that the complete
flow solution is characterized completely by a single, simple, quasi-linear,
second order PDE, or "master equation," in two variables. We show that the
Pilch-Warner flow solution is almost Calabi-Yau: It has a complex structure, a
hermitian metric, and a holomorphic (3,0)-form that is a square root of the
volume form. It is, however, not Kahler. We discuss the relationship between
the master equation derived here for Calabi-Yau geometries and such equations
encountered elsewhere and that govern supersymmetric backgrounds with multiple,
independent fluxes.Comment: 26 pages, harvmac + amssy
A harmonic family of dielectric flow solutions with maximal supersymmetry
We construct a new harmonic family: dielectric flow solutions with maximal
supersymmetry in eleven-dimensional supergravity. These solutions are
asymptotically AdS_4 x S^7, while in the infra-red the M2 branes are
dielectrically polarized into M5 branes. These solutions are holographically
dual to vacua of the mass deformed theory on M2 branes. They also provide an
interesting insight on the supergravity solutions sourced by giant gravitons,
allowing one to see how supergravity solves the giant graviton puzzle.Comment: 21 pages, LaTeX. reference adde
Flowing with Eight Supersymmetries in M-Theory and F-theory
We consider holographic RG flow solutions with eight supersymmetries and
study the geometry transverse to the brane. For both M2-branes and for
D3-branes in F-theory this leads to an eight-manifold with only a four-form
flux. In both settings there is a natural four-dimensional hyper-Kahler slice
that appears on the Coulomb branch. In the IIB theory this hyper-Kahler
manifold encodes the Seiberg-Witten coupling over the Coulomb branch of a U(1)
probe theory. We focus primarily upon a new flow solution in M-theory. This
solution is first obtained using gauged supergravity and then lifted to eleven
dimensions. In this new solution, the brane probes have an Eguchi-Hanson moduli
space with the M2-branes spread over the non-trivial 2-sphere. It is also shown
that the new solution is valid for a class of orbifold theories. We discuss how
the hyper-Kahler structure on the slice extends to some form of G-structure in
the eight-manifold, and describe how this can be computed.Comment: 29 pages, 1 figure, harvma
Deformations of Holographic Duals to Non-Relativistic CFTs
We construct the non-relativistic counterparts of some well-known
supergravity solutions dual to relevant and marginal deformations of N=4 super
Yang-Mills. The main tool we use is the null Melvin twist and we apply it to
the N=1 and N=2* Pilch-Warner RG flow solutions as well as the Lunin-Maldacena
solution dual to beta-deformations of N=4 super Yang-Mills. We also obtain a
family of supergravity solutions with Schrodinger symmetry interpolating
between the non-relativistic version of the N=1 Pilch-Warner and
Klebanov-Witten fixed points. A generic feature of these non-relativistic
backgrounds is the presence of non-vanishing internal fluxes. We also find the
most general, three-parameter, null Melvin twist of the AdS_5xS^5 black hole.
We briefly comment on the field theories dual to these supergravity solutions.Comment: 34 pages, 1 figure, LaTe
Microscopic Description of Black Rings in AdS/CFT
We discuss some aspects of the recently discovered BPS black ring solutions
in terms of the AdS/CFT correspondence. In the type IIB frame in which the
black ring carries the charges of the D1-D5-P system, we propose a microscopic
description of the rings in the orbifold CFT governing this system. In our
proposal, the CFT effectively splits into two parts: one part captures the
supertube-like properties of the ring, and the other captures the entropy. We
can also understand the black ring entropy by relating the geometry near the
ring to BPS black holes in four dimensions, although this latter approach does
not directly lead to an identification of black rings in terms of the D1-D5-P
CFT.Comment: 18 pages, harvmac. v2 - minor typo
Gravity duals to deformed SYM theories and Generalized Complex Geometry
We analyze the supersymmetry conditions for a class of SU(2) structure
backgrounds of Type IIB supergravity, corresponding to a specific ansatz for
the supersymmetry parameters. These backgrounds are relevant for the AdS/CFT
correspondence since they are suitable to describe mass deformations or
beta-deformations of four-dimensional superconformal gauge theories. Using
Generalized Complex Geometry we show that these geometries are characterized by
a closed nowhere-vanishing vector field and a modified fundamental form which
is also closed. The vector field encodes the information about the
superpotential and the type of deformation - mass or beta respectively. We also
show that the Pilch-Warner solution dual to a mass-deformation of N =4 Super
Yang-Mills and the Lunin-Maldacena beta-deformation of the same background fall
in our class of solutions.Comment: LaTex, 29 page
The Geometry of D=11 Null Killing Spinors
We determine the necessary and sufficient conditions on the metric and the
four-form for the most general bosonic supersymmetric configurations of D=11
supergravity which admit a null Killing spinor i.e. a Killing spinor which can
be used to construct a null Killing vector. This class covers all
supersymmetric time-dependent configurations and completes the classification
of the most general supersymmetric configurations initiated in hep-th/0212008.Comment: 30 pages, typos corrected, reference added, new solution included in
section 5.1; uses JHEP3.cl