Microscopic derivation of Ginzburg-Landau theories for hierarchical quantum Hall states
, 2020 We propose a Ginzburg-Landau theory for a large and important part of the abelian quantum Hall hierarchy, including the prominently observed Jain sequences.
Hansson, T. H. +2 more
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Dual Superconformal Symmetry of ${\cal N}=2$ Chern-Simons theory with Fundamental Matter at Large $N$ [PDF]
, 2019 Dual conformal symmetry and Yangian symmetry are symmetries of amplitudes that have aided the study of scattering amplitudes in highly supersymmetric theories like ${\cal N}=4$ SYM and ABJM.
Inbasekar, Karthik +7 more
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Universal structure of the edge states of the fractional quantum Hall states
, 1998 We present an effective theory for the bulk fractional quantum Hall states on the Jain sequences on closed surfaces and show that it has a universal form whose structure does not change from fraction to fraction.
A. Capelli +41 more
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Composite fermion wave functions as conformal field theory correlators
, 2007 It is known that a subset of fractional quantum Hall wave functions has been expressed as conformal field theory (CFT) correlators, notably the Laughlin wave function at filling factor $\nu=1/m$ ($m$ odd) and its quasiholes, and the Pfaffian wave ...
A. P. Polychronakos +8 more
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Quantitative estimates for Jain-Kantorovich operators
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2016 By using given arbitrary sequences,property that limn 1nn= 0and limn 1 n= 0, we give a Kantorovichtype generalization of Jain operator based on the a Poisson disrtibition. Fristlywe give the quantitative Voronovskaya type theorem. Then we also obtain theGruss Voronovskaya type theorem in quantitative form .We show that theyhave an arbitrary good order ...
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Fermion Chern Simons Theory of Hierarchical Fractional Quantum Hall States
, 2004 We present an effective Chern-Simons theory for the bulk fully polarized fractional quantum Hall (FQH) hierarchical states constructed as daughters of general states of the Jain series, {\it i.
A. López +43 more
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Short proofs of the Quantum Substate Theorem [PDF]
, 2011 The Quantum Substate Theorem due to Jain, Radhakrishnan, and Sen (2002) gives us a powerful operational interpretation of relative entropy, in fact, of the observational divergence of two quantum states, a quantity that is related to their relative ...
Ashwin Nayak, Rahul Jain, U. Waterloo
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Modified Jain-Pethe-Baskakov-Durrmeyer operators and their quantitative estimates
Journal of Classical Analysis, 2023 Summary: In this paper, we present a modification of Jain-Pethe-Baskakov-Durrmeyer operators and estimate their moments. Then, we establish the uniform convergence of the proposed family of operators. Further, we use modulus of continuity and \(K\)-functional to establish local approximation behavior of these operators.
Sharma, Honey, Maurya, Ramapati
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`Composite particles' and the eigenstates of Calogero-Sutherland and Ruijsenaars-Schneider
, 2000 We establish a one-to-one correspondance between the ''composite particles'' with $N$ particles and the Young tableaux with at most $N$ rows. We apply this correspondance to the models of Calogero-Sutherland and Ruijsenaars-Schneider and we obtain a ...
Asai Y. +9 more
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The $\nu={1\over2}$ Landau level: Half-full or half-empty? [PDF]
, 2015 We show here that an extension of the Hamiltonian theory developed by us over the years furnishes a composite fermion (CF) description of the $\nu =\frac{1}{2}$ state that is particle-hole (PH) symmetric, has a charge density that obeys the magnetic ...
Murthy, Ganpathy, Shankar, R.
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