1,081 research outputs found
BPS States of Exceptional Non-Critical Strings
We study the BPS states of non-critical strings which arise for zero size
instantons of exceptional groups. This is accomplished by using F-theory and
M-theory duals and by employing mirror symmetry to compute the degeneracy of
membranes wrapped around 2-cycles of the Calabi-Yau threefold. We find evidence
for a number of novel physical phenomena, including having infinitely many
light states with the first lightest state including a nearly massless
gravitino.Comment: 29 pages, 1 figure, references added, to appear in the proceedings of
the conference "Advanced Quantum Field Theory'' (in memory of Claude
Itzykson
On search for the M-Theory Lagrangian
We present a starting point for the search for a Lagrangian density for
M-Theory using characteristic classes for flat foliations of bundles.Comment: Latex, 5 pages, no figure
Entropy of quantum-corrected black holes
The approximate renormalized one-loop effective action of the quantized
massive scalar, spinor and vector field in a large mass limit, i.e., the lowest
order of the DeWitt-Schwinger expansion involves the coincidence limit of the
Hadamard-DeWitt coefficient a3. Building on this and using Wald's approach we
shall construct the general expression describing entropy of the
spherically-symmetric static black hole being the solution of the
semi-classical field equations. For the concrete case of the quantum-corrected
Reissner-Nordstrom black hole this result coincides, as expected, with the
entropy obtained by integration of the first law of black hole thermodynamics
with a suitable choice of the integration constant. The case of the extremal
quantum corrected black hole is briefly considered
The Orbifolds of N=2 Superconformal Theories with c=3
We construct Z_M, M= 2, 3, 4, 6 orbifold models of the N=2 superconformal
field theories with central charge c=3. Then we check the description of the
Z_3, Z_4 and Z_6 orbifolds by the N=2 superconformal Landau-Ginzburg models
with c=3, by comparing the spectrum of chiral fields, in particular the Witten
index Tr(-1)^F.Comment: 20 pages; typos corrected, references adde
Toric Calabi-Yau supermanifolds and mirror symmetry
We study mirror symmetry of supermanifolds constructed as fermionic
extensions of compact toric varieties. We mainly discuss the case where the
linear sigma A-model contains as many fermionic fields as there are U(1)
factors in the gauge group. In the mirror super-Landau-Ginzburg B-model, focus
is on the bosonic structure obtained after integrating out all the fermions.
Our key observation is that there is a relation between the super-Calabi-Yau
conditions of the A-model and quasi-homogeneity of the B-model, and that the
degree of the associated superpotential in the B-model is given in terms of the
determinant of the fermion charge matrix of the A-model.Comment: 20 pages, v2: references adde
On the Classification of Quasihomogeneous Functions
We give a criterion for the existence of a non-degenerate quasihomogeneous
polynomial in a configuration, i.e. in the space of polynomials with a fixed
set of weights, and clarify the relation of this criterion to the necessary
condition derived from the formula for the Poincar\'e polynomial. We further
prove finiteness of the number of configurations for a given value of the
singularity index. For the value 3 of this index, which is of particular
interest in string theory, a constructive version of this proof implies an
algorithm for the calculation of all non-degenerate configurations.Comment: 12 page
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