From spinning conformal blocks to matrix Calogero-Sutherland models
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DOI: 10.1007/jhep04(2018)052
Abstract: A bstractIn this paper we develop further the relation between conformal four-point blocks involving external spinning fields and Calogero-Sutherland quantum mechanics with matrix-valued potentials. To this end, the analysis of [1] is extended to arbitrary… read more here.
Keywords: seed; conformal blocks; calogero sutherland; blocks matrix ... See more keywords
PT$$ \mathcal{P}\mathcal{T} $$ deformation of Calogero-Sutherland models
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DOI: 10.1007/jhep05(2019)166
Abstract: A bstractCalogero-Sutherland models of N identical particles on a circle are deformed away from hermiticity but retaining a PT$$ \mathcal{P}\mathcal{T} $$ symmetry. The interaction potential gets completely regularized, which adds to the energy spectrum an… read more here.
Keywords: calogero sutherland; mathcal mathcal; sutherland models; deformation calogero ... See more keywords
Quasi-compact Higgs bundles and Calogero-Sutherland systems with two types of spins
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DOI: 10.1063/1.5048676
Abstract: We define the quasi-compact Higgs $G^{\mathbb C}$-bundles over singular curves introduced in our previous paper for the Lie group SL($N$). The quasi-compact structure means that the automorphism groups of the bundles are reduced to the… read more here.
Keywords: calogero sutherland; compact higgs; quasi compact; sutherland systems ... See more keywords
Truncated Calogero-Sutherland models
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DOI: 10.1103/physrevb.95.205135
Abstract: A one-dimensional quantum many-body system consisting of particles confined in a harmonic potential and subject to finite-range two-body and three-body inverse-square interactions is introduced. The range of the interactions is set by truncation beyond a… read more here.
Keywords: system; calogero sutherland; sutherland models; truncated calogero ... See more keywords
N=4 supersymmetric Calogero-Sutherland models
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DOI: 10.1103/physrevd.101.086010
Abstract: Starting from the Hamiltonian formulation of supersymmetric Calogero models associated with the classical $A_n$, $B_n$, $C_n$ and $D_n$ series we construct the ${\cal N}{=}\,2$ and ${\cal N}{=}\,4$ supersymmetric extensions of the their hyperbolic/trigonometric Calogero-Sutherland cousins.… read more here.
Keywords: sutherland models; calogero; calogero sutherland; supersymmetric calogero ... See more keywords