3,064 research outputs found
Review of Lattice Supersymmetry and Gauge-Gravity Duality
We review the status of recent investigations on validating the gauge-gravity
duality conjecture through numerical simulations of strongly coupled maximally
supersymmetric thermal gauge theories. In the simplest setting, the
gauge-gravity duality connects systems of D0-branes and black hole geometries
at finite temperature to maximally supersymmetric gauged quantum mechanics at
the same temperature. Recent simulations show that non-perturbative gauge
theory results give excellent agreement with the quantum gravity predictions,
thus proving strong evidence for the validity of the duality conjecture and
more insight into quantum black holes and gravity.Comment: v2: Minor comments and references added. Invited review for the
International Journal of Modern Physics
Spherical Branes
We construct new solutions of ten-dimensional supergravity with sixteen
supercharges which describe the backreaction of D-branes with spherical
worldvolume. These solutions are holographically dual to the
-dimensional maximally supersymmetric Yang-Mills theory on .
The finite size of the sphere provides an IR cut-off for the gauge theory which
is manifested in the supergravity solution as a smooth cap-off of the geometry.
In the UV the size of the sphere plays no role and the backgrounds asymptote to
the well-known supergravity solutions that describe the near-horizon limit of
flat D-branes. We compute the on-shell action of our spherical brane
solutions and show that it is in agreement with recent supersymmetric
localization results for the free energy of maximal SYM theory on .Comment: 57 pages, 4 figures; v2: minor corrections, appendix adde
The Phase Structure of Low Dimensional Large N Gauge Theories on Tori
In this paper we continue our study of the thermodynamics of large N gauge
theories on compact spaces. We consider toroidal compactifications of pure
SU(N) Yang-Mills theories and of maximally supersymmetric Yang-Mills theories
dimensionally reduced to 0+1 or 1+1 dimensions, and generalizations of such
theories where the adjoint fields are massive. We describe the phase structure
of these theories as a function of the gauge coupling, the geometry of the
compact space and the mass parameters. In particular, we study the behavior of
order parameters associated with the holonomy of the gauge field around the
cycles of the torus. Our methods combine analytic analysis, numerical Monte
Carlo simulations, and (in the maximally supersymmetric case) information from
the dual gravitational theories.Comment: harvmac, 67 pages, 21 figures. v2: minor corrections and
clarification
TASI Lectures: Introduction to the AdS/CFT Correspondence
This is an introductory review of the AdS/CFT correspondence and of the ideas
that led to its formulation. We show how comparison of stacks of D3-branes with
corresponding supergravity solutions leads to dualities between conformal large
gauge theories in 4 dimensions and string backgrounds of the form
where is an Einstein manifold. The gauge invariant
chiral operators of the field theory are in one-to-one correspondence with the
supergravity modes, and their correlation functions at strong `t Hooft coupling
are determined by the dependence of the supergravity action on AdS boundary
conditions. The simplest case is when is a 5-sphere and the dual gauge
theory is the supersymmetric SU(N) Yang-Mills theory. We also
discuss D3-branes on the conifold corresponding to being a coset space
. This background is dual to a certain superconformal field theory with gauge group .Comment: Lectures at TASI '99, Boulder, June 1999; 36 pages, LaTeX; v2:
corrected factor of 2 in eq. (9) and related factor
Nonperturbative studies of supersymmetric matrix quantum mechanics with 4 and 8 supercharges at finite temperature
We investigate thermodynamic properties of one-dimensional U(N)
supersymmetric gauge theories with 4 and 8 supercharges in the planar large-N
limit by Monte Carlo calculations. Unlike the 16 supercharge case, the
threshold bound state with zero energy is widely believed not to exist in these
models. This led A.V. Smilga to conjecture that the internal energy decreases
exponentially at low temperature instead of decreasing with a power law. In the
16 supercharge case, the latter behavior was predicted from the dual black
0-brane geometry and confirmed recently by Monte Carlo calculations. Our
results for the models with 4 and 8 supercharges indeed support the exponential
behavior, revealing a qualitative difference from the 16 supercharge case.Comment: 16 pages, 7 figures, LaTeX2e, minor corrections in section 3, final
version accepted in JHE
A note on the universality of the Hagedorn behavior of pp-wave strings
Following on from recent studies of string theory on a one-parameter family
of integrable deformations of proposed by Lunin and
Maldacena, we carry out a systematic analysis of the high temperature
properties of type IIB strings on the associated pp-wave geometries. In
particular, through the computation of the thermal partition function and free
energy we find that not only does the theory exhibit a Hagedorn transition in
both the and class of pp-waves, but that the Hagedorn
temperature is insensitive to the deformation suggesting an interesting
universality in the high temperature behaviour of the pp-wave string theory. We
comment also on the implications of this universality on the
confinement/deconfinement transition in the dual
Leigh-Strassler deformation of Yang-Mills theory.Comment: 25 pages; fixed minor typo; added reference
Renormalization Group Flows from Holography--Supersymmetry and a c-Theorem
We obtain first order equations that determine a supersymmetric kink solution
in five-dimensional N=8 gauged supergravity. The kink interpolates between an
exterior anti-de Sitter region with maximal supersymmetry and an interior
anti-de Sitter region with one quarter of the maximal supersymmetry. One eighth
of supersymmetry is preserved by the kink as a whole. We interpret it as
describing the renormalization group flow in N=4 super-Yang-Mills theory broken
to an N=1 theory by the addition of a mass term for one of the three adjoint
chiral superfields. A detailed correspondence is obtained between fields of
bulk supergravity in the interior anti-de Sitter region and composite operators
of the infrared field theory. We also point out that the truncation used to
find the reduced symmetry critical point can be extended to obtain a new N=4
gauged supergravity theory holographically dual to a sector of N=2 gauge
theories based on quiver diagrams.
We consider more general kink geometries and construct a c-function that is
positive and monotonic if a weak energy condition holds in the bulk gravity
theory. For even-dimensional boundaries, the c-function coincides with the
trace anomaly coefficients of the holographically related field theory in
limits where conformal invariance is recovered.Comment: 56 pages, three figures, harvmac. v2: improved referencing, corrected
discussion of energy conditions. v3: one more reference fixe
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