245 research outputs found
Large N reduction on group manifolds
We show that the large N reduction holds on group manifolds. Large N field
theories defined on group manifolds are equivalent to some corresponding matrix
models. For instance, gauge theories on S^3 can be regularized in a gauge
invariant and SO(4) invariant manner.Comment: 21 pages, 4 figures, typos corrected, a reference adde
M5-brane Effective Action as an On-shell Action in Supergravity
We show that the covariant effective action for M5-brane is a solution to the
Hamilton-Jacobi (H-J) equations of 11-dimensional supergravity. The solution to
the H-J equations reproduces the supergravity solution that represents the
M2-M5 bound states.Comment: 20 pages, references added, typos correcte
Omega-3 Fatty Acid, Selenium, and Mercury Content of Aquaculture Products in Hawaii
The purpose of this study was to gather baseline data on the fatty acid profile and selenium and mercury concentration of aquaculture products in Hawaii
T-duality, Fiber Bundles and Matrices
We extend the T-duality for gauge theory to that on curved space described as
a nontrivial fiber bundle. We also present a new viewpoint concerning the
consistent truncation and the T-duality for gauge theory and discuss the
relation between the vacua on the total space and on the base space. As
examples, we consider S^3(/Z_k), S^5(/Z_k) and the Heisenberg nilmanifold.Comment: 24 pages, typos correcte
Deconfinement phase transition in N=4 super Yang-Mills theory on RxS^3 from supersymmetric matrix quantum mechanics
We test the recent claim that supersymmetric matrix quantum mechanics with
mass deformation preserving maximal supersymmetry can be used to study N=4
super Yang-Mills theory on RxS^3 in the planar limit. When the mass parameter
is large, we can integrate out all the massive fluctuations around a particular
classical solution, which corresponds to RxS^3. The resulting effective theory
for the gauge field moduli at finite temperature is studied both analytically
and numerically, and shown to reproduce the deconfinement phase transition in
N=4 super Yang-Mills theory on RxS^3 at weak coupling. This transition was
speculated to be a continuation of the conjectured phase transition at strong
coupling, which corresponds to the Hawking-Page transition based on the
gauge-gravity duality. By choosing a different classical solution of the same
model, one can also reproduce results for gauge theories on other space-time
such as RxS^3/Z_q and RxS^2. All these theories can be studied at strong
coupling by the new simulation method, which was used successfully for
supersymmetric matrix quantum mechanics without mass deformation.Comment: REVTeX4, 4 pages, 1 figure, typos correcte
Embedding of theories with SU(2|4) symmetry into the plane wave matrix model
We study theories with SU(2|4) symmetry, which include the plane wave matrix
model, 2+1 SYM on RxS^2 and N=4 SYM on RxS^3/Z_k. All these theories possess
many vacua. From Lin-Maldacena's method which gives the gravity dual of each
vacuum, it is predicted that the theory around each vacuum of 2+1 SYM on RxS^2
and N=4 SYM on RxS^3/Z_k is embedded in the plane wave matrix model. We show
this directly on the gauge theory side. We clearly reveal relationships among
the spherical harmonics on S^3, the monopole harmonics and the harmonics on
fuzzy spheres. We extend the compactification (the T-duality) in matrix models
a la Taylor to that on spheres.Comment: 56 pages, 6 figures, v2:a footnote and references added, section 5.2
improved, typos corrected, v3:typos corrected, v4: some equations are
corrected, eq.(G.2) is added, conclusion is unchange
N=4 SYM on R x S^3 and Theories with 16 Supercharges
We study N=4 SYM on R x S^3 and theories with 16 supercharges arising as its
consistent truncations. These theories include the plane wave matrix model, N=4
SYM on R x S^2 and N=4 SYM on R x S^3/Z_k, and their gravity duals were studied
by Lin and Maldacena. We make a harmonic expansion of the original N=4 SYM on R
x S^3 and obtain each of the truncated theories by keeping a part of the
Kaluza-Klein modes. This enables us to analyze all the theories in a unified
way. We explicitly construct some nontrivial vacua of N=4 SYM on R x S^2. We
perform 1-loop analysis of the original and truncated theories. In particular,
we examine states regarded as the integrable SO(6) spin chain and a
time-dependent BPS solution, which is considered to correspond to the AdS giant
graviton in the original theory.Comment: 68 pages, 12 figures, v2,v3:typos corrected and comments added. To
appear in JHE
N=4 Super Yang-Mills from the Plane Wave Matrix Model
We propose a nonperturbative definition of N=4 super Yang-Mills (SYM). We
realize N=4 SYM on RxS^3 as the theory around a vacuum of the plane wave matrix
model. Our regularization preserves sixteen supersymmetries and the gauge
symmetry. We perform the 1-loop calculation to give evidences that the
superconformal symmetry is restored in the continuum limit.Comment: 39 pages, 6 figures, some sentences are improved, references added,
typos corrected, version to appear in PR
Complex Matrix Model and Fermion Phase Space for Bubbling AdS Geometries
We study a relation between droplet configurations in the bubbling AdS
geometries and a complex matrix model that describes the dynamics of a class of
chiral primary operators in dual N=4 super Yang Mills (SYM). We show rigorously
that a singlet holomorphic sector of the complex matrix model is equivalent to
a holomorphic part of two-dimensional free fermions, and establish an exact
correspondence between the singlet holomorphic sector of the complex matrix
model and one-dimensional free fermions. Based on this correspondence, we find
a relation of the singlet holomorphic operators of the complex matrix model to
the Wigner phase space distribution. By using this relation and the AdS/CFT
duality, we give a further evidence that the droplets in the bubbling AdS
geometries are identified with those in the phase space of the one-dimensional
fermions. We also show that the above correspondence actually maps the
operators of N=4 SYM corresponding to the (dual) giant gravitons to the droplet
configurations proposed in the literature.Comment: 27 pages, 6 figures, some clarification, typos corrected, published
versio
- âŠ