85 research outputs found
Interaction of Discrete States in Two-Dimensional String Theory
We study the couplings of discrete states that appear in the string theory
embedded in two dimensions, and show that they are given by the structure
constants of the group of area preserving diffeomorphisms. We propose an
effective action for these states, which is itself invariant under this
infinite-dimensional group.Comment: 12 page
Absorption by Threebranes and the AdS/CFT Correspondence
In the first part of this talk I discuss two somewhat different supergravity
approaches to calculating correlation functions in strongly coupled Yang-Mills
theory. The older approach relates two-point functions to cross-sections for
absorption of certain incident quanta by threebranes. In this approach the
normalization of operators corresponding to the incident particles is fixed
unambiguously by the D3-brane DBI action. By calculating absorption
cross-sections of all partial waves of the dilaton we find corresponding
two-point functions at strong `t Hooft coupling and show that they are
identical to the weak coupling results. The newer approach to correlation
functions relates them to boundary conditions in AdS space. Using this method
we show that for a certain range of negative mass-squared there are two
possible operator dimensions corresponding to a given scalar field in AdS, and
indicate how to calculate correlation functions for either of these choices. In
the second part of the talk I discuss an example of AdS/CFT duality which
arises in the context of type 0 string theory. The CFT on N coincident electric
and magnetic D3-branes is argued to be stable for sufficiently weak `t Hooft
coupling. It is suggested that its transition to instability at a critical
coupling is related to singularity of planar diagrams.Comment: 14 pages, LaTeX; Talk at Strings '99, Potsdam, German
Absorption of dilaton s-wave in type 0B string theory
We find the absorption probability of dilaton field in type 0B string theory.
Since the background solutions are of the form on both
regions, we use the semiclassical formalism adopted in type IIB theory to find
the absorption cross section. The background tachyon field solution was used as
a reference to relate the solutions of the two regions. We also consider the
possible corrections to absorption probability and the form of the
correction is expected as in the calculation of the confinement solution.Comment: minor corrections, reference added, version to appear PR
Entanglement entropy in lattice gauge theories
We report on the recent progress in theoretical and numerical studies of
entanglement entropy in lattice gauge theories. It is shown that the concept of
quantum entanglement between gauge fields in two complementary regions of space
can only be introduced if the Hilbert space of physical states is extended in a
certain way. In the extended Hilbert space, the entanglement entropy can be
partially interpreted as the classical Shannon entropy of the flux of the gauge
fields through the boundary between the two regions. Such an extension leads to
a reduction procedure which can be easily implemented in lattice simulations by
constructing lattices with special topology. This enables us to measure the
entanglement entropy in lattice Monte-Carlo simulations. On the simplest
example of Z2 lattice gauge theory in (2 + 1) dimensions we demonstrate the
relation between entanglement entropy and the classical entropy of the field
flux. For SU(2) lattice gauge theory in four dimensions, we find a signature of
non-analytic dependence of the entanglement entropy on the size of the region.
We also comment on the holographic interpretation of the entanglement entropy.Comment: Talk presented at the Confinement8 conference (Mainz, Germany,
September 1 - 6, 2008) and at the conference "Liouville Field Theory and
Statistical Models", dedicated to Alexey Zamolodchikov memory (Moscow,
Russia, June 21 - 24, 2008
An Exact Solution to O(26) Sigma Model coupled to 2-D Gravity
By a mapping to the bosonic string theory, we present an exact solution to
the O(26) sigma model coupled to 2-D quantum gravity. In particular, we obtain
the exact gravitational dressing to the various matter operators classified by
the irreducible representations of O(26). We also derive the exact form of the
gravitationally modified beta function for the original coupling constant
. The relation between our exact solution and the asymptotic solution
given in ref[3] is discussed in various aspects.Comment: 10 pages, pupt-144
Beta-functions in Yang-Mills Theory from Non-critical String
The renormalization group equations of the Yang-Mills theory are examined in
the non-critical string theory according to the framework of the holography.
Under a simple ansatz for the tachyon, we could find several interesting
solutions which are classified by the value of the tachyon potential at the
vacuum. We show two typical, asymptotic-free solutions which are different in
their infrared behaviors. For both types of solutions, we could obtain
quark-confinement potential from the Wilson-loop. The stability of the tachyon
and the ZigZag symmetry are also discussed for these solutions.Comment: 16 pages, 5 figure
Superconformal Gauge Theories and Non-Critical Superstrings
We consider effective actions for six-dimensional non-critical superstrings.
We show that the addition of units of R-R flux and of space-time
filling D5-branes produces solutions with curvature
comparable to the string scale. These solutions have the right structure to be
dual to supersymmetric SU(N) gauge theories with flavors. We
further suggest bounds on the mass-squared of tachyonic fields in this
background that should restrict the theory to the conformal window.Comment: 16 pages, 1 figure v4: Minor change
Probing AdS/CFT correspondence via world-sheet methods and 2d gravity like scaling arguments
We show how some features of the AdS/CFT correspondence for AdS_3 can easily
be understood via standard world-sheet methods and 2d gravity like scaling
arguments. To do this, we propose a stringy way for perturbing two-dimensional
CFT's around their critical points. Our strategy is to start from a stringy
(world-sheet) representation of 2d CFT in space-time. Next we perturb a
world-sheet action by some marginal operators such that the space-time symmetry
becomes finite dimensional. As a result, we get a massive FT in space-time with
a scale provided by two-dimensional coupling constant. It turns out that there
exists a perturbation that leads to string theory on AdS_3. In this case the
scale is equivalently provided by the radial anti-de-Sitter coordinate.Comment: 15 pages; corrected some typo
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