12 research outputs found
Poles in the -Matrix of Relativistic Chern-Simons Matter theories from Quantum Mechanics
An all orders formula for the -matrix for 2 2 scattering in
large N Chern-Simons theory coupled to a fundamental scalar has recently been
conjectured. We find a scaling limit of the theory in which the pole in this
-matrix is near threshold. We argue that the theory must be well described
by non-relativistic quantum mechanics in this limit, and determine the relevant
Schroedinger equation. We demonstrate that the -matrix obtained from this
Schroedinger equation agrees perfectly with this scaling limit of the
relativistic -matrix; in particular the pole structures match exactly. We
view this matching as a nontrivial consistency check of the conjectured field
theory -matrix.Comment: 12 pages, minor correction
Unitarity, Crossing Symmetry and Duality of the S-matrix in large N Chern-Simons theories with fundamental matter
We present explicit computations and conjectures for scattering
matrices in large {\it } Chern-Simons theories coupled to fundamental
bosonic or fermionic matter to all orders in the 't Hooft coupling expansion.
The bosonic and fermionic S-matrices map to each other under the recently
conjectured Bose-Fermi duality after a level-rank transposition. The S-matrices
presented in this paper may be regarded as relativistic generalization of
Aharonov-Bohm scattering. They have unusual structural features: they include a
non analytic piece localized on forward scattering, and obey modified crossing
symmetry rules. We conjecture that these unusual features are properties of
S-matrices in all Chern-Simons matter theories. The S-matrix in one of the
exchange channels in our paper has an anyonic character; the parameter map of
the conjectured Bose-Fermi duality may be derived by equating the anyonic phase
in the bosonic and fermionic theories.Comment: 66 pages+ 45 pages appendices, 20 figures, Few typos corrected and
few references adde
Currents and Radiation from the large Black Hole Membrane
It has recently been demonstrated that black hole dynamics in a large number
of dimensions reduces to the dynamics of a codimension one membrane
propagating in flat space. In this paper we define a stress tensor and charge
current on this membrane and explicitly determine these currents at low orders
in the expansion in . We demonstrate that dynamical membrane
equations of motion derived in earlier work are simply conservation equations
for our stress tensor and charge current. Through the paper we focus on
solutions of the membrane equations which vary on a time scale of order unity.
Even though the charge current and stress tensor are not parametrically small
in such solutions, we show that the radiation sourced by the corresponding
membrane currents is generically of order . In this regime it
follows that the `near horizon' membrane degrees of freedom are decoupled from
asymptotic flat space at every perturbative order in the
expansion. We also define an entropy current on the membrane and use the
Hawking area theorem to demonstrate that the divergence of the entropy current
is point wise non negative. We view this result as a local form of the second
law of thermodynamics for membrane motion.Comment: 104 pages plus 69 pages appendix, 1 figure, Minor correction