86 citations · 282 across the 18 of their papers we have counts for
18 papers
Holomorphicity, Vortex Attachment, Gauge Invariance and the Fractional Quantum Hall Effect
Abhishek Agarwal
A gauge invariant reformulation of nonrelativistic fermions in background magnetic fields is used to obtain the Laughlin and Jain wave functions as exact results in Mean Field Theo…
Antiparticles as particles: QED and composite Fermions at
Abhishek Agarwal
We present a continuum operator map that inverts the role of particles and antiparticles in three dimensional QED. This is accomplished by the attachment of specific holomorphic Wi…
Gauge-invariant Variables and Entanglement Entropy
Abhishek Agarwal, Dimitra Karabali, V. P. Nair
The entanglement entropy (EE) of gauge theories in three spacetime dimensions is analyzed using manifestly gauge-invariant variables defined directly in the continuum. Specifically…
Fermions, Mass-Gap and Landau Levels: Gauge invariant Hamiltonian for QCD in D=2+1
Abhishek Agarwal, V. P. Nair
A gauge-invariant reformulation of QCD in three spacetime dimensions is presented within a Hamiltonian formalism, extending previous work to include fermion fields in the adjoint a…
Scattering Amplitudes of Massive N=2 Gauge Theories in Three Dimensions
Abhishek Agarwal, Arthur E. Lipstein, Donovan Young
We study the scattering amplitudes of mass-deformed Chern-Simons theories and Yang-Mills-Chern-Simons theories with N=2 supersymmetry in three dimensions. In particular, we derive…
Deconstructing Supersymmetric S-matrices in D <= 2 + 1
Abhishek Agarwal, Donovan Young
Global supersymmetries of the S-matrices of N = 2, 4, 8 supersymmetric Yang-Mills theories in three spacetime dimensions (without matter hypermultiplets) are shown to be SU(1|1), S…