14,035 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

### The d=6, (2,0)-tensor multiplet coupled to self-dual strings

We show that the central charges that group theory allows in the (2,0)
supersymmetry translations algebra arise from a string and a 3-brane by
commuting two supercharges. We show that the net force between two such
parallel strings vanishes. We show that all the coupling constants are fixed
numbers, due to supersymmetry, and self-duality of the three-form field
strength. We obtain a charge quantization for the self-dual field strength, and
show that when compactifying on a two-torus, it reduces to the usual
quantization condition of N=4 SYM with gauge group SU(2), and with coupling
constant and theta angle given by the tau-parameter of the two-torus, provided
that we pick that chiral theory which corresponds to a theta function with zero
characteristics, as expected on manifolds of this form.Comment: 18 pages, reference adde

### 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

### Glueball Masses from Linearly Confining Supergravity

Mass spectrum of 0++ glueballs is produced using a dual supergravity theory
we proposed for pure N=1 SU(N) gauge theory in four dimensions in the large N
limit in the IR. The glueball states are expressed in terms of Whittaker
functions. The spectrum is discrete and a function whose roots give the masses
is written. The ratios of the masses are independent of the parameters of the
theory and comparison to recent non-supersymmetric large N lattice QCD data
available for the lowest three states shows agreement to within five percent.Comment: 11 page

### 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

### Loop Variables and Gauge Invariance in (Open) Bosonic String Theory

We give a simplified and more complete description of the loop variable
approach for writing down gauge invariant equations of motion for the fields of
the open string. A simple proof of gauge invariance to all orders is given. In
terms of loop variables, the interacting equations look exactly like the free
equations, but with a loop variable depending on an extra parameter, thus
making it a band of finite width. The arguments for gauge invariance work
exactly as in the free case. We show that these equations are Wilsonian RG
equations with a finite world-sheet cutoff and that in the infrared limit,
equivalence with the Callan-Symanzik $\beta$-functions should ensure that they
reproduce the on-shell scattering amplitudes in string theory. It is applied to
the tachyon-photon system and the general arguments for gauge invariance can be
easily checked to the order calculated. One can see that when there is a finite
world sheet cutoff in place, even the U(1) invariance of the equations for the
photon, involves massive mode contributions. A field redefinition involving the
tachyon is required to get the gauge transformations of the photon into
standard form.Comment: 20 pages, Late

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