Zobrazeno 1 - 10
of 96
pro vyhledávání: '"Karabali, Dimitra"'
Generalizing from previous work on the integer quantum Hall effect, we construct the effective action for the analog of Laughlin states for the fractional quantum Hall effect in higher dimensions. The formalism is a generalization of the parton pictu
Externí odkaz:
http://arxiv.org/abs/2410.14036
Autor:
Karabali, Dimitra, Nair, V. P.
An effective action for the bulk dynamics of quantum Hall effect in arbitrary even spatial dimensions was obtained some time ago in terms of a Chern-Simons term associated with the Dolbeault index theorem. Here we explore further properties of this a
Externí odkaz:
http://arxiv.org/abs/2307.15919
We consider the volume of the gauge orbit space for gauge fields on four-dimensional complex projective space. The analysis uses a parametrization of gauge fields where gauge transformations act homogeneously on the fields, facilitating a manifestly
Externí odkaz:
http://arxiv.org/abs/2206.09985
Autor:
Karabali, Dimitra
I give a brief review of higher dimensional quantum Hall effect (QHE) and how one can use a general framework to describe the lowest Landau level dynamics as a noncommutative field theory whose semiclassical limit leads to anomaly free bulk-edge effe
Externí odkaz:
http://arxiv.org/abs/2203.14350
A parametrization of gauge fields on complex projective spaces of arbitrary dimension is given as a generalization of the two-dimensional case. Gauge transformations act homogeneously on the fields, facilitating a manifestly gauge-invariant analysis.
Externí odkaz:
http://arxiv.org/abs/2110.11926
Autor:
Karabali, Dimitra
Publikováno v:
Phys. Rev. D 102, 025016 (2020)
We analyze the entanglement entropy, in real space, for the higher dimensional integer quantum Hall effect on ${\mathbb {CP}}^k$ (any even dimension) for abelian and nonabelian magnetic background fields. In the case of $\nu=1$ we perform a semiclass
Externí odkaz:
http://arxiv.org/abs/2006.10920
Autor:
Karabali, Dimitra, Nair, V. P.
Publikováno v:
Phys. Rev. D 98, 105009 (2018)
We consider the Casimir effect in a gauge-invariant Hamiltonian formulation of nonabelian gauge theories in (2+1) dimensions, for an arbitrary gauge group. We show that the result is in good agreement with recent lattice simulations. We also argue th
Externí odkaz:
http://arxiv.org/abs/1808.07979
Publikováno v:
Phys. Rev. D 96, 125008 (2017)
The entanglement entropy (EE) of gauge theories in three spacetime dimensions is analyzed using manifestly gauge-invariant variables defined directly in the continuum. Specifically, we focus on the Maxwell, Maxwell-Chern-Simons (MCS), and nonabelian
Externí odkaz:
http://arxiv.org/abs/1701.00014
Autor:
Karabali, Dimitra, Nair, V. P.
Publikováno v:
Phys. Rev. D 94, 064057 (2016)
The topological terms of the bulk effective action for the integer quantum Hall effect, capturing the dynamics of gauge and gravitational fluctuations, reveal a curiosity, namely, the Abelian potential for the magnetic field appears in a particular c
Externí odkaz:
http://arxiv.org/abs/1606.06405
Autor:
Karabali, Dimitra, Nair, V. P.
Publikováno v:
Phys. Rev. D 94, 024022 (2016)
We present a general formula for the topological part of the effective action for quantum Hall systems in higher dimensions, including fluctuations of the gauge field and metric around background fields of a specified topological class. The result is
Externí odkaz:
http://arxiv.org/abs/1604.00722