Supersymmetry of the d=3 Chern-Simons action in the landau gauge

Delduc, F.; Gieres, François; Sorella, S. P.

doi:10.1016/0370-2693(89)90584-4

Cited by 89 publications

(117 citation statements)

References 9 publications

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“…These N = 2 supercharge differential operators satisfy the following relations: 16) where the sign of the spacetime derivative is reversed with respect to the algebra (4.11). Similar to the N = 4 full twisted algebra, we introduce superdifferential operators which anticommute with all the supercharge differential operators {Q ± I }, 17) which satisfy the same algebra as (4.11) with replacements: s ± I → D ± I .…”

Section: N = 2 Decomposition Of N = 4 Twisted Susy Algebra In Four DImentioning

confidence: 99%

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N=4 twisted superspace from Dirac–Kähler twist and off-shell SUSY invariant actions in four dimensions

2005

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We propose N = 4 twisted superspace formalism in four dimensions by introducing Dirac-Kähler twist. In addition to the BRST charge as a scalar counter part of twisted supercharge we find vector and tensor twisted supercharges. By introducing twisted chiral superfield we explicitly construct off-shell twisted N = 4 SUSY invariant action. We can propose variety of supergauge invariant actions by introducing twisted vector superfield. We may, however, need to find further constraints to identify twisted N = 4 super Yang-Mills action. We propose a superconnection formalism of twisted superspace where constraints play a crucial role. It turns out that N = 4 superalgebra of Dirac-Kähler twist can be decomposed into N = 2 sectors. We can then construct twisted N = 2 super Yang-Mills actions by the superconnection formalism of twisted superspace in two and four dimensions.

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Section: N = 2 Decomposition Of N = 4 Twisted Susy Algebra In Four DImentioning

confidence: 99%

“…In the investigations of the quantization of topological field theories of Schwarz type; Chern-Simons action and BF actions, a new type of vector SUSY was discovered [14][15][16][17]. It was recognized that this vector SUSY belongs to a twisted version of an extended SUSY of N = 2 or N = 4.…”

Section: Introductionmentioning

confidence: 99%

N=4 twisted superspace from Dirac–Kähler twist and off-shell SUSY invariant actions in four dimensions

2005

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“…Finally, substitution ofDF = 0 into equation (8) allows us to conclude that s 2 (F, ψ 1 1 , ϕ 2 ) = 0. Last, but not least, it can be verified explicitly that the transformation (12) of F leaves the classical action (9) invariant.…”

Section: Witten-type Models Topological Yang-mills Theorymentioning

confidence: 99%

“…These models are not only invariant under BRSTtransformations, but also (at least in certain gauges) under the so-called vector supersymmetry (VSUSY). The anticommutator of this transformation with the BRST-operator yields spacetime translations (either off-shell or on-shell) and thus generates a superalgebra of Wess-Zumino type [8,9,10]. The VSUSY plays a central role for proving the perturbative finiteness of Schwarz-type models (e.g.…”

Section: Introductionmentioning

confidence: 99%

Vector supersymmetry in topological field theories

Gieres¹,

Grimstrup²,

Pisar³

et al. 2000

J. High Energy Phys.

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Abstract. We present a simple derivation of vector supersymmetry transformations for topological field theories of Schwarz-and Witten-type. Our method is similar to the derivation of BRSTtransformations from the so-called horizontality conditions or Russian formulae. We show that this procedure reproduces in a concise way the known vector supersymmetry transformations of various topological models and we use it to obtain some new transformations of this type for 4d topological YM-theories in different gauges.

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“…This algebra is typical of topological quantum field theories [19]. In particular, as shown in [20], the decomposition (4.33) allows to making use of W µ as a climbingup operator for the descent equations (4.31) .…”

Section: The Relationship Between the Action Of N=and Tr φmentioning

confidence: 99%

The action of N = 4 Super Yang-Mills from a chiral primary operator

Lemes¹,

Sorella²,

Ventura³

et al. 2001

J. High Energy Phys.

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Using the Vafa-Witten twisted version of N = 4 Super Yang-Mills a subset of the supercharges actually relevant for the nonrenormalization properties of the theory is identified. In particular, a relationship between the gauge-fixed action and the chiral primary operator trφ 2 is worked out. This result can be understood as an off-shell extension of the reduction formula introduced by Intriligator in [1].

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Supersymmetry of the d=3 Chern-Simons action in the landau gauge

Cited by 89 publications

References 9 publications

N=4 twisted superspace from Dirac–Kähler twist and off-shell SUSY invariant actions in four dimensions

N=4 twisted superspace from Dirac–Kähler twist and off-shell SUSY invariant actions in four dimensions

Vector supersymmetry in topological field theories

The action of N = 4 Super Yang-Mills from a chiral primary operator

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