A proposal for 0 extended supersymmetry in integrable systems

Gates, S. James; Rana, Lubna

doi:10.1016/0370-2693(95)01557-4

Cited by 6 publications

(1 citation statement)

References 16 publications

(13 reference statements)

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“…[5] it is stated that an N = 4 super-Schwarzian is a non-local expression and only the covariant derivative of it is given in explicit form. However, because the R-symmetry subalgebra in [5] is so(4), the case seems to correspond to Osp(4|2) rather than SU(1, 1|2) (see also a related work [12]). Mathematicians report an obstruction to obtain a projective cocycle for N ≥ 3 (see, e.g., the discussion in [6]).…”

Section: Jhep06(2020)027mentioning

confidence: 99%

Super-Schwarzians via nonlinear realizations

Galajinsky

2020

J. High Energ. Phys.

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The N = 1 and N = 2 super-Schwarzian derivatives were originally introduced by physicists when computing a finite superconformal transformation of the super stress-energy tensor underlying a superconformal field theory. Mathematicians like to think of them as the cocycles describing central extensions of Lie superalgebras. In this work, a third possibility is discussed which consists in applying the method of nonlinear realizations to osp(1|2) and su(1, 1|1) superconformal algebras. It is demonstrated that the super-Schwarzians arise quite naturally, if one decides to keep the number of independent Goldstone superfields to a minimum.

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Section: Jhep06(2020)027mentioning

confidence: 99%

Super-Schwarzians via nonlinear realizations

Galajinsky

2020

J. High Energ. Phys.

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ℵ0-extended supergravity and Chern-Simons theories

Gates

1996

Nuclear Physics B

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We give generalizations of extended Poincaré supergravity with arbitrarily many supersymmetries in the absence of central charges in threedimensions by gauging its intrinsic global SO(N) symmetry. We call these ℵ 0 (Aleph-Null) supergravity theories. We further couple a nonAbelian supersymmetric Chern-Simons theory and an Abelian topological BF theory to ℵ 0 supergravity. Our result overcomes the previous difficulty for supersymmetrization of Chern-Simons theories beyond N = 4. This feature is peculiar to the Chern-Simons and BF theories including supergravity in three-dimensions. We also show that dimensional reduction schemes for four-dimensional theories such as N = 1 self-dual supersymmetric Yang-Mills theory or N = 1 supergravity theory that can generate ℵ 0 globally and locally supersymmetric theories in three-dimensions. As an interesting application, we present ℵ 0 supergravity Liouville theory in two-dimensions after appropriate dimensional reduction from threedimensions.

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Interacting fields of arbitrary spin and N > 4 supersymmetric self-dual Yang-Mills equations

Devchand

Ogievetsky

1996

Nuclear Physics B

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We show that the self-dual Yang-Mills equations afford supersymmetrisation to systems of equations invariant under global N -extended super-Poincaré transformations for arbitrary values of N , without the limitation (N ≤ 4) applicable to standard non-self-dual Yang-Mills theories. These systems of equations provide novel classically consistent interactions for vector supermultiplets containing fields of spin up to N −2 2 . The equations of motion for the component fields of spin greater than 1 2 are interacting variants of the first-order Dirac-Fierz equations for zero rest-mass fields of arbitrary spin. The interactions are governed by conserved currents which are constructed by an iterative procedure. In (arbitrarily extended) chiral superspace, the equations of motion for the (arbitrarily large) self-dual supermultiplet are shown to be completely equivalent to the set of algebraic supercurvature constraints defining the self-dual superconnection.

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A proposal for 0 extended supersymmetry in integrable systems

Cited by 6 publications

References 16 publications

Super-Schwarzians via nonlinear realizations

Super-Schwarzians via nonlinear realizations

ℵ0-extended supergravity and Chern-Simons theories

Interacting fields of arbitrary spin and N > 4 supersymmetric self-dual Yang-Mills equations

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