6,069 research outputs found
Derivative F-Terms from Heterotic M-Theory Five-brane Instantons
We study non-perturbative effects due to a heterotic M-theory five-brane
wrapped on Calabi-Yau threefold. We show that such instantons contribute to
derivative F-terms described recently by Beasley and Witten rather than to the
superpotential.Comment: 10 pages, Latex, minor correction
Scale Invariance of Dirac Condition in Type 0 String Approach to Gauge Theory
In this letter we shall discuss a description of non-supersymmetric
four-dimensional Yang-Mills theory based on Type 0 strings recently proposed by
Klebanov and Tseytlin. The three brane near-horizon geometry allows one to
study the UV behaviour of the gauge theory. Following Minahan and Klebanov and
Tseytlin we shall discuss how the gravity solution reproduces logarithmic
renormalization of coupling constant extracted from quark-antiquark
potential and then show that effective coupling constant describing
monopole-antimonopole interactions is of zero-charge type and Dirac condition
is scale invariant in logarithmic approximation.Comment: 10 pages, LaTex; added references, corrected some typo
Geometry of Batalin-Vilkovisky quantization
The present paper is devoted to the study of geometry of Batalin-Vilkovisky
quantization procedure. The main mathematical objects under consideration are
P-manifolds and SP-manifolds (supermanifolds provided with an odd symplectic
structure and, in the case of SP-manifolds, with a volume element). The
Batalin-Vilkovisky procedure leads to consideration of integrals of the
superharmonic functions over Lagrangian submanifolds. The choice of Lagrangian
submanifold can be interpreted as a choice of gauge condition; Batalin and
Vilkovisky proved that in some sense their procedure is gauge independent. We
prove much more general theorem of the same kind. This theorem leads to a
conjecture that one can modify the quantization procedure in such a way as to
avoid the use of the notion of Lagrangian submanifold. In the next paper we
will show that this is really so at least in the semiclassical approximation.
Namely the physical quantities can be expressed as integrals over some set of
critical points of solution S to the master equation with the integrand
expressed in terms of Reidemeister torsion. This leads to a simplification of
quantization procedure and to the possibility to get rigorous results also in
the infinite-dimensional case. The present paper contains also a compete
classification of P-manifolds and SP-manifolds. The classification is
interesting by itself, but in this paper it plays also a role of an important
tool in the proof of other results.Comment: 13 page
Free Fields Equations For Space-Time Algebras With Tensorial Momentum
Free field equations, with various spins, for space-time algebras with
second-rank tensor (instead of usual vector) momentum are constructed. Similar
algebras are appearing in superstring/M theories. The most attention is payed
to the gauge invariance properties, particularly the spin two equations with
gauge invariance are constructed for dimensions 2+2 and 2+4 and connection to
Einstein equation and diffeomorphism invariance is established
Exponential clogging time for a one dimensional DLA
When considering DLA on a cylinder it is natural to ask how many particles it
takes to clog the cylinder, e.g. modeling clogging of arteries. In this note we
formulate a very simple DLA clogging model and establish an exponential lower
bound on the number of particles arriving before clogging appears
Towards SO(2,10)-Invariant M-Theory: Multilagrangian Fields
The SO(2,10) covariant extension of M-theory superalgebra is considered, with
the aim to construct a correspondingly generalized M-theory, or 11d
supergravity. For the orbit, corresponding to the supergravity multiplet,
the simplest unitary representations of the bosonic part of this algebra, with
sixth-rank tensor excluded, are constructed on a language of field theory in
66d space-time. The main peculiarities are the presence of more than one
equation of motion and corresponding Lagrangians for a given field and that the
gauge and SUSY invariances of the theory mean that the sum of variations of
these Lagrangians (with different variations of the same field) is equal to
zero.Comment: Latex 16 pages, minor correction, To appear in Mod. Phys. Lett.
A Superstring Theory in Four Curved Space-Time Dimensions
Neveu-Schwarz-Ramond type heterotic and type-II superstrings in four
dimensional curved space-time are constructed as exact superconformal
theories. The tachyon is eliminated with a GSO projection. The theory is based
on the N=1 superconformal gauged WZW model for the anti-de Sitter coset
with integer central extension . The model has dynamical
duality properties in its space-time metric that are similar to the large-small
() duality of tori. To first order in a expansion we
give expressions for the metric, the dilaton, the Ricci tensor and their dual
generalizations. The curvature scalar has several singularities at various
locations in the 4-dimensional manifold. This provides a new singular solution
to Einstein's equations in the presence of matter in four dimensions. A
non-trivial path integral measure which we conjectured in previous work for
gauged WZW models is verified.Comment: 12 page
The Poincare' coset models ISO(d-1,1)/R^n and T-duality
We generalize a family of Lagrangians with values in the Poincar\'e group
ISO(d-1,1), which contain the description of spinning strings in flat (d-1)+1
dimensions, by including symmetric terms in the world-sheet coordinates. Then,
by promoting a subgroup H=R^n, n less than or equal to d, which acts
invariantly from the left on the element of ISO(d-1,1), to a gauge symmetry of
the action, we obtain a family of sigma-models. They describe bosonic strings
moving in (generally) curved, and in some cases degenerate, space-times with an
axion field. Further, the space-times of the effective theory admit in general
T-dual geometries. We give explicit results for two non degenerate cases.Comment: LaTeX, 24 pages, no figure
Quantum Cosmology from \cal{N} = 4 Super Yang - Mills Theory
We consider quantum \cal{N} = 4 super Yang-Mills theory interacting in a
covariant way with \cal{N} = 4 conformal supergravity. The induced large N
effective action for such a theory is calculated on a dilaton-gravitational
background using the conformal anomaly found via AdS/CFT correspondence.
Considering such an effective action as a quantum correction to the classical
gravity action we study quantum cosmology. In particular, the effect from
dilaton to the scale factor (which without dilaton corresponds to the
inflationary universe) is investigated. It is shown that, dependent on the
initial conditions for the dilaton, the dilaton may slow down, or accelerate,
the inflation process. At late times, the dilaton is decaying exponentially.Comment: 8 pages, LaTex, no figure
Holographic repulsion and confinement in gauge theory
We show that for asymptotically anti-deSitter backgrounds with negative
energy, such as the AdS soliton and regulated negative mass AdS-Schwarzshild
metrics, the Wilson loop expectation value in the AdS/CFT conjecture exhibits a
Coulomb to confinement transition. We also show that the quark-antiquark () potential can be interpreted as affine time along null geodesics on
the minimal string world sheet,and that its intrinsic curvature provides a
signature of transition to confinement phase. The result demonstrates a UV/IR
relation in that the boundary separation of the pair exhibits an
inverse relationship with the radial descent of the world sheet into the bulk.
Our results suggest a generic (holographic) relationship between confinement in
gauge theory and repulsive gravity, which in turn is connected with singularity
avoidance in quantum gravity.Comment: 8 pages, 4 figure
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