Noncommutative quantum cosmology

H Garcia-Compean, O Obregon, C Ramirez - Physical review letters, 2002 - APS
We propose a model for noncommutative quantum cosmology by means of a deformation of
minisuperspace. For the Kantowski-Sachs metric we are able to find the exact wave function …

Quantum Hall states as matrix Chern-Simons theory

AP Polychronakos - Journal of High Energy Physics, 2001 - iopscience.iop.org
We propose a finite Chern-Simons matrix model on the plane as an effective description of
fractional quantum Hall fluids of finite extent. The quantization of the inverse filling fraction …

Dual families of noncommutative quantum systems

FG Scholtz, B Chakraborty, S Gangopadhyay… - Physical Review D …, 2005 - APS
We demonstrate how a one parameter family of interacting noncommuting Hamiltonians,
which are physically equivalent, can be constructed in noncommutative quantum …

Chern-Simons formulation of noncommutative gravity in three dimensions

M Banados, O Chandia, N Grandi, FA Schaposnik… - Physical Review D, 2001 - APS
We formulate noncommutative three-dimensional (3D) gravity by making use of its
connection with 3D Chern-Simons theory. In the Euclidean sector, we consider the topology …

Noncommutative gravity in two dimensions

S Cacciatori, AH Chamseddine, D Klemm… - … and Quantum Gravity, 2002 - iopscience.iop.org
We deform a two-dimensional topological gravity making use of its gauge theory formulation.
The obtained noncommutative gravity model is shown to be invariant under a class of …

theory on deformed superspace

M Faizal - Physical Review D—Particles, Fields, Gravitation, and …, 2011 - APS
In this paper we will analyze a noncommutative deformation of the Aharony-Bergman-
Jafferis-Maldacena (ABJM) theory in N= 1 superspace formalism. We will then analyze the …

Level quantization for the noncommutative Chern-Simons theory

VP Nair, AP Polychronakos - Physical Review Letters, 2001 - APS
Level Quantization for the Noncommutative Chern-Simons Theory Page 1 VOLUME 87,
NUMBER 3 PHYSICAL REVIEW LETTERS 16JULY 2001 Level Quantization for the …

Exact Seiberg–Witten map, induced gravity and topological invariants in non-commutative field theories

R Banerjee, HS Yang - Nuclear Physics B, 2005 - Elsevier
We revisit the exact Seiberg–Witten (SW) map on Dirac–Born–Infeld actions, making a
connection with the deformation quantization scheme. The picture on field dependent …

Noncommutative Chern-Simons gauge and gravity theories and their geometric Seiberg-Witten map

P Aschieri, L Castellani - Journal of High Energy Physics, 2014 - Springer
A bstract We use a geometric generalization of the Seiberg-Witten map between
noncommutative and commutative gauge theories to find the expansion of noncommutative …

The gauge anomaly and the Seiberg–Witten map

CP Martın - Nuclear Physics B, 2003 - Elsevier
The consistent form of the gauge anomaly is worked out at first order in θ for the
noncommutative three-point function of the ordinary gauge field of certain noncommutative …