Supersymmetric Calogero models by gauging

Fedoruk, Sergey; Ivanov, E.; Lechtenfeld, Olaf

doi:10.1103/physrevd.79.105015

Cited by 93 publications

(191 citation statements)

References 39 publications

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“…Although conformal multi-particle quantum mechanics (in one space dimension) is a subject with a long and rich history, its N =4 superconformal extension has been achieved only recently [1,2,3,4,5,6,7,8]. Enlarging the conformal algebra su(1, 1) to su(1, 1|2) (with central charge) imposes severe constraints on the particle interactions, which are not easily solved.…”

Section: Introductionmentioning

confidence: 99%

N=4 superconformal n-particle mechanics via superspace

Krivonos¹,

Lechtenfeld

Polovnikov

2009

Nuclear Physics B

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We revisit the (untwisted) superfield approach to one-dimensional multi-particle systems with N =4 superconformal invariance. The requirement of a standard (flat) bosonic kinetic energy implies the existence of inertial (super-)coordinates, which is nontrivial beyond three particles. We formulate the corresponding integrability conditions, whose solution directly yields the superpotential, the two prepotentials and the bosonic potential. The structure equations for the two prepotentials, including the WDVV equation, follow automatically. The general solution for translation-invariant three-particle models is presented and illustrated with examples. For the four-particle case, we take advantage of known WDVV solutions to construct a D3 and a B3 model, thus overcoming a previously-found barrier regarding the bosonic potential. The general solution and classification remain a challenge.

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Section: Introductionmentioning

confidence: 99%

N=4 superconformal n-particle mechanics via superspace

Krivonos¹,

Lechtenfeld

Polovnikov

2009

Nuclear Physics B

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“…Although these models in their final form do not contain gauge fields, there are a class of supersymmetric models that have been found by gauging models with auxiliary fields in the fundamental representation of a gauge group [9,17] (some early bosonic work used a similar approach [18]). …”

Section: Introductionmentioning

confidence: 99%

Superconformal Yang-Mills quantum mechanics and Calogero model with $$ {\text{OSp}}\left( {\mathcal{N}|{2},\mathbb{R}} \right) $$ symmetry

Copland¹,

Ko²,

Park³

2012

J. High Energ. Phys.

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In spacetime dimension two, pure Yang-Mills possesses no physical degrees of freedom, and consequently it admits a supersymmetric extension to couple to an arbitrary number, N say, of Majorana-Weyl gauginos. This results in (N , 0) super Yang-Mills. Further, its dimensional reduction to mechanics doubles the number of supersymmetries, from N to N + N , to include conformal supercharges, and leads to a superconformal Yang-Mills quantum mechanics with symmetry group OSp(N |2, R). We comment on its connection to AdS 2 × S N −1 and reduction to a supersymmetric Calogero model.

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“…In particular, it was argued in [1,4] that superconformal mechanics may provide a microscopic quantum description of extreme black holes. Motivated by this proposal a plenty of SU(1, 1|2) superconformal one-dimensional systems and their D(2, 1; α) extensions have been constructed [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. A related line of research concerns the study of superconformal particles propagating on near horizon black hole backgrounds [25][26][27][28][29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

SU(1, 1|N) superconformal mechanics with fermionic gauge symmetry

Chernyavsky

2018

J. High Energ. Phys.

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Abstract:We study superpaticle models with fermionic gauge symmetry on the coset spaces of the SU(1, 1|N ) supergroup. We first construct SU(1, 1|N ) supersymmetric extension of a particle on AdS 2 possessing the κ-symmetry. Including angular degrees of freedom and extending this model to a superparticle on the AdS 2 × CP N −1 background with two-form flux, one breaks the κ-symmetry down to a fermionic gauge symmetry with one parameter. A link of the background field configuration to the near horizon black hole geometries is discussed.

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Supersymmetric Calogero models by gauging

Cited by 93 publications

References 39 publications

N=4 superconformal n-particle mechanics via superspace

N=4 superconformal n-particle mechanics via superspace

Superconformal Yang-Mills quantum mechanics and Calogero model with $$ {\text{OSp}}\left( {\mathcal{N}|{2},\mathbb{R}} \right) $$ symmetry

SU(1, 1|N) superconformal mechanics with fermionic gauge symmetry

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