6,871 research outputs found
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
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 -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
de Rham cohomology of SO(n) and some related manifolds by supersymmetric quantum mechanics
We study supersymmetric quantum mechanics on RP_{n},SO(n),G_{2} and U(2) to
examine Witten's Morse theory concretely. We confirm the simple instanton
picture of the de Rham cohomology that has been given in a previous paper. We
use a reflection symmetry of each theory to select the true vacuums. The number
of selected vacuums agrees with the de Rham cohomology for each of the above
manifolds.Comment: 18pages,Late
Clock and Category; IS QUANTUM GRAVITY ALGEBRAIC
We investigate the possibility that the quantum theory of gravity could be
constructed discretely using algebraic methods. The algebraic tools are similar
to ones used in constructing topological quantum field theories.The algebraic
tools are related to ideas about the reinterpretation of quantum mechanics in a
general relativistic context.Comment: To appear in special issue of JMP. Latex documen
On Path Integral Localization and the Laplacian
We introduce a new localization principle which is a generalized canonical
transformation. It unifies BRST localization, the non-abelian localization
principle and a special case of the conformal Duistermaat-Heckman integration
formula of Paniak, Semenoff and Szabo. The heat kernel on compact Lie groups is
localized in two ways. First using a non-abelian generalization of the
derivative expansion localization of Palo and Niemi and secondly using the BRST
localization principle and a configuration space path integral. In addition we
present some new formulas on homogeneous spaces which might be useful in a
possible localization of Selberg's trace formula on locally homogeneous spaces.Comment: 30 pages LaTeX, 1 figure; published versio
De Rham Cohomology of SO(n) by Supersymmetric Quantum Mechanics
We give an elementary derivation of the de Rham cohomology of SO(n) in terms
of supersymmetric quantum mechanics. Our analysis is based on Witten's Morse
theory. We show reflection symmetries of the theory are useful to select true
vacuums. The number of the selected vacuums will agree with the de Rham
cohomology of SO(n).Comment: 7pages, latex, no figure
The Semispin Groups in String Theory
In discussions of the T-duality between the two heterotic string theories,
the duality is actually implemented through the "common" SO(16) x SO(16)
subgroup of "SO(32)" and E_8 x E_8. In fact, however, a global investigation
shows that no such "common" subgroup exists. This paper is a survey of the
relevant global properties of Spin(32)/Z_2 and its subgroups.Comment: 23 page
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