6,669 research outputs found
Comments on real tachyon vacuum solution without square roots
We analyze the consistency of a recently proposed real tachyon vacuum
solution without square roots in open bosonic string field theory. We show that
the equation of motion contracted with the solution itself is satisfied.
Additionally, by expanding the solution in the basis of the curly
and the traditional eigenstates, we evaluate numerically
the vacuum energy and obtain a result in agreement with Sen's conjecture.Comment: 20 pages; one subsection adde
Level truncation analysis of a simple tachyon vacuum solution in cubic superstring field theory
We evaluate the vacuum energy of a simple tachyon vacuum solution using the
level truncation scheme in cubic superstring field theory. By truncating the
standard Virasoro level expansion of the solution, we obtain a value of
the vacuum energy in agreement with Sen's first conjecture.Comment: 20 pages, extra factor 2/\pi deleted from equation (3.2), some typos
correcte
Pure Spinor Partition Function Using Pade Approximants
In a recent paper, the partition function (character) of ten-dimensional pure
spinor worldsheet variables was calculated explicitly up to the fifth
mass-level. In this letter, we propose a novel application of Pade approximants
as a tool for computing the character of pure spinors. We get results up to the
twelfth mass-level. This work is a first step towards an explicit construction
of the complete pure spinor partition function.Comment: 16 page
Multibrane solutions in cubic superstring field theory
Using the elements of the so-called subalgebra, we study a class
of analytic solutions depending on a single function in the modified
cubic superstring field theory. We compute the energy associated to these
solutions and show that the result can be expressed in terms of a contour
integral. For a particular choice of the function , we show that the
energy is given by integer multiples of a single D-brane tension.Comment: 14 pages, some typos correcte
Hilbert space of curved \beta\gamma systems on quadric cones
We clarify the structure of the Hilbert space of curved \beta\gamma systems
defined by a quadratic constraint. The constraint is studied using intrinsic
and BRST methods, and their partition functions are shown to agree. The quantum
BRST cohomology is non-empty only at ghost numbers 0 and 1, and there is a
one-to-one mapping between these two sectors. In the intrinsic description, the
ghost number 1 operators correspond to the ones that are not globally defined
on the constrained surface. Extension of the results to the pure spinor
superstring is discussed in a separate work.Comment: 45 page
N=1 Supersymmetric Yang-Mills on the lattice at strong coupling
We study N=1 supersymmetric SU(N) Yang-Mills theory on the lattice at strong
coupling. Our method is based on the hopping parameter expansion in terms of
random walks, resummed for any value of the Wilson parameter r in the small
hopping parameter region. Results are given for the mesonic (2-gluino) and
fermionic (3-gluino) propagators and spectrum.Comment: Latex file. 43 pages. Minor additional comments, references added,
typos corrected. Accepted for publication in Int. J. Mod. Phys.
Combinatorics of lattice paths with and without spikes
We derive a series of results on random walks on a d-dimensional hypercubic
lattice (lattice paths). We introduce the notions of terse and simple paths
corresponding to the path having no backtracking parts (spikes). These paths
label equivalence classes which allow a rearrangement of the sum over paths.
The basic combinatorial quantities of this construction are given. These
formulas are useful when performing strong coupling (hopping parameter)
expansions of lattice models. Some applications are described.Comment: Latex. 25 page
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