11,954 research outputs found

### Anticommutativity Equation in Topological Quantum Mechanics

We consider topological quantum mechanics as an example of topological field
theory and show that its special properties lead to numerous interesting
relations for topological corellators in this theory. We prove that the
generating function $\mathcal{F}$ for thus corellators satisfies the
anticommutativity equation $(\mathcal{D}- \mathcal{F})^2=0$. We show that the
commutativity equation $[dB,dB]=0$ could be considered as a special case of the
anticommutativity equation.Comment: 6 pages, no figures, Late

### Role of Short Distance Behavior in Off-Shell Open-String Field Theory

A recent proposal for a background independent open string field theory is
studied in detail for a class of backgrounds that correspond to general
quadratic boundary interactions on the world-sheet. A short-distance cut-off is
introduced to formulate the theory with a finite number of local and
potentially unrenormalizable boundary couplings. It is shown that
renormalization of the boundary couplings makes both the world-sheet partition
function and the string field action finite and cut-off independent, although
the resulting string field action has an unpalatable dependence on the leading
unrenormalizable coupling.Comment: 16 page

### A Relation Between Gravity in $(3+1)$--Dimensions and Pontrjagin Topological Invariant

A relation between the MacDowell-Mansouri theory of gravity and the
Pontrjagin toplogical invariant in $(3+1)$ dimensions is discussed. This
relation may be of especial interest in the quest of finding a mechanism to go
from non-dynamical to dynamical gravity.Comment: 9 pages, Te

### Theta Dependence In The Large N Limit Of Four-Dimensional Gauge Theories

The theta dependent of pure gauge theories in four dimensions can be studied
using a duality of large N gauge theories with string theory on a certain
spacetime. Via this duality, one can argue that for every theta, there are
infinitely many vacua that are stable in the large N limit. The true vacuum,
found by minimizing the energy in this family, is a smooth function of theta
except at theta equal to pi, where it jumps. This jump is associated with
spontaneous breaking of CP symmetry. Domain walls separating adjacent vacua are
described in terms of wrapped sixbranes.Comment: 8 p

### Categories of holomorphic line bundles on higher dimensional noncommutative complex tori

We construct explicitly noncommutative deformations of categories of
holomorphic line bundles over higher dimensional tori. Our basic tools are
Heisenberg modules over noncommutative tori and complex/holomorphic structures
on them introduced by A. Schwarz. We obtain differential graded (DG) categories
as full subcategories of curved DG categories of Heisenberg modules over the
complex noncommutative tori. Also, we present the explicit composition formula
of morphisms, which in fact depends on the noncommutativity.Comment: 28 page

### Mirror Symmetry of Calabi-Yau Supermanifolds

We study super Landau-Ginzburg mirrors of the weighted projective superspace
WCP^{3|2} which is a Calabi-Yau supermanifold and appeared in
hep-th/0312171(Witten) in the topological B-model. One of them is an elliptic
fibration over the complex plane whose coordinate is given in terms of two
bosonic and two fermionic variables as well as Kahler parameter of WCP^{3|2}.
The other is some patch of a degree 3 Calabi-Yau hypersurface in CP^2 fibered
by the complex plane whose coordinate depends on both above four variables and
Kahler parameter but its dependence behaves quite differently.Comment: 12pp; the last paragraph of section 1 improved and some
clarifications adde

### Some Computations in Background Independent Open-String Field Theory

Recently, background independent open-string field theory has been formally
defined in the space of all two-dimensional world-sheet theories. In this
paper, to make the construction more concrete, I compute the action for an
off-shell tachyon field of a certain simple type. From the computation it
emerges that, although the string field action does not coincide with the
world-sheet (matter) partition function in general, these functions do coincide
on shell. This can be demonstrated in general, as long as matter and ghosts are
decoupled.Comment: 14 p

### A Holographic Prediction of the Deconfinement Temperature

We argue that deconfinement in AdS/QCD models occurs via a first order
Hawking-Page type phase transition between a low temperature thermal AdS space
and a high temperature black hole. Such a result is consistent with the
expected temperature independence, to leading order in 1/N_c, of the meson
spectrum and spatial Wilson loops below the deconfinement temperature. As a
byproduct, we obtain model dependent deconfinement temperatures T_c in the hard
and soft wall models of AdS/QCD. Our result for T_c in the soft wall model is
close to a recent lattice prediction.Comment: 4 pages, 1 figure; v2 ref added, minor changes; v3 refs added,
discussion modified, to appear in PR

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