21 research outputs found
Emergent Lifshitz scaling from N=4 SYM with supersymmetric heavy-quark density
We consider supersymmetric configurations in Type IIB supergravity obtained by the beackreaction of fundamental strings ending on a stack of D3-branes and smeared uniformly in the three spatial directions along the D3-branes. These automatically include a distribution of D5-brane baryon vertices necessary to soak up string charge. The backgrounds are static, preserving eight supersymmetries, an SO(5) global symmetry and symmetry under spatial translations and rotations. We obtain the most general BPS configurations consistent with the symmetries. We show that the solutions to the Type IIB field equations are completely specified by a single function (the dilaton) satisfying a Poisson-like equation in two dimensions. We further find that the equation admits a class of solutions displaying Lifshitz-like scaling with dynamical critical exponent z=7. The equations also admit an asymptotically AdS_5 x S^5 solution deformed by the presence of backreacted string sources that yield a uniform density of heavy quarks in N=4 SYM
BMN vacua, superstars and non-abelian T-duality
Acting with non-Abelian T-duality on the inside the subspace of
with units of flux, we generate a new half-BPS solution
with symmetry that belongs to the Lin-Lunin-Maldacena class of
geometries. The analysis of the asymptotics, quantised charges and probe branes
in this geometry suggests an interpretation as the gravity dual to the
Berenstein-Maldacena-Nastase Plane Wave Matrix Model, in a particular vacuum
associated to a partition of , in which the multiplicity of each
irreducible representation is equal to its dimension. This vacuum is
interpreted in M-theory in terms of giant gravitons backreacting in the
maximally supersymmetric pp-wave geometry. Consistently with this, we show that
the non-Abelian T-dual solution exactly agrees with the Penrose limit of the
superstar solution in . This suggests an interesting global
completion of the non-Abelian T-dual solution in terms of an M5-brane geometry.Comment: 28 pages, discussion in section 5.1 improved, results unchanged,
reference added. Matches published versio
Romans-mass-driven flows on the D2-brane
The addition of supersymmetric Chern-Simons terms to
super-Yang-Mills theory in three-dimensions is expected to make the latter flow
into infrared superconformal phases. We address this problem holographically by
studying the effect of the Romans mass on the D2-brane near-horizon geometry.
Working in a consistent, effective four-dimensional setting provided by
supergravity with a dyonic gauging, we verify
the existence of a rich web of supersymmetric domain walls triggered by the
Romans mass that interpolate between the (four-dimensional description of the)
D2-brane and various superconformal phases. We also construct domain walls for
which both endpoints are superconformal. While most of our results are
numerical, we provide analytic results for the -invariant flow into an conformal phase recently
discovered.Comment: 20 pages plus appendices, 5 figures. v2: typos corrected, published
tex
Confinement, phase transitions and non-locality in the entanglement entropy
In this paper we study the conjectural relation between confinement in a
quantum field theory and the presence of a phase transition in its
corresponding entanglement entropy. We determine the sufficient conditions for
the latter and compare to the conditions for having a confining Wilson line. We
demonstrate the relation in several examples. Superficially, it may seem that
certain confining field theories with a non-local high energy behaviour, like
the dual of D5 branes wrapping a two-cycle, do not admit the corresponding
phase transition. However, upon closer inspection we find that, through the
introduction of a regulating UV-cutoff, new eight-surface configurations
appear, that satisfy the correct concavity condition and recover the phase
transition in the entanglement entropy. We show that a local-UV-completion to
the confining non-local theories has a similar effect to that of the
aforementioned cutoff.Comment: 64 pages. Lots of figure