Supersymmetric structure of four-dimensional antisymmetric tensor fields

Guadagnini, Enore; Maggiore, Nicola; Sorella, S. P.

doi:10.1016/0370-2693(91)91140-q

Cited by 68 publications

(85 citation statements)

References 27 publications

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“…In analogy to what is known for the case of the Chern-Simons theory in three dimensions [18,8,5], the topological BF theory exhibits a supersymmetric structure which, for the time being, has only been established in dimensions four and less [17,16,15]. In the present section, we shall give a systematic treatment of this supersymmetry in higher dimensions, at the classical level.…”

Section: Supersymmetrymentioning

confidence: 72%

See 1 more Smart Citation

Renormalization and finiteness of topological BF theories

Lucchesi

Piguet²,

Sorella³

1993

Nuclear Physics B

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We show that the BF theory in any space-time dimension, when quantized in a certain linear covariant gauge, possesses a vector supersymmetry. The generator of the latter together with those of the BRS transformations and of the translations form the basis of a superalgebra of the Wess-Zumino type. We give a general classification of all possible anomalies and invariant counterterms. Their absence, which amounts to ultraviolet finiteness, follows from purely algebraic arguments in the lower-dimensional cases.

show abstract

Section: Supersymmetrymentioning

confidence: 72%

“…The ultraviolet finiteness was studied and established for particular gauge fixings in three-dimensional Chern-Simons theory [7,8,13,14] as well as in two-, threeand four-dimensional BF theory [15,16,17]. In all these cases (except [7]) the main ingredient of the proof was the presence of a supersymmetric structure [18].…”

Section: Introductionmentioning

confidence: 99%

Renormalization and finiteness of topological BF theories

Lucchesi

Piguet²,

Sorella³

1993

Nuclear Physics B

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“…These algebras consist of scalar, vector and tensor generators. The twisted supersymmetry is investigated in various models and various dimensions [3][4][5][6][7][8][9][10][11][12][13][14][15][16]. We are especially interested in Dirac-Kähler twist [17] which is connected with lattice fermion.…”

Section: Introductionmentioning

confidence: 99%

Vafa-Witten theory onN= 2 andN= 4 twisted superspace in four dimensions

Kato¹,

Miyake²

2009

J. High Energy Phys.

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We construct a new off-shell twisted hypermultiplet with a scalar and an anti-self-dual tensor superfields. Using the N = 2 twisted superspace formalism, we construct a Donaldson-Witten theory coupled to the hypermultiplet. We show that this action possesses the Vafa-Witten type N = 4 twisted supersymmetry at the on-shell level. We also reconstruct the action using a N = 4 twisted superconnection formalism.

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“…They are related to the Ray-Singer torsion [13] and the intersection number of manifolds in any dimension [14]. Also they provide an example of ultraviolet finite field theories [15]. A few years ago a generalization of anyons to (3+1) dimensions, making use of the BF term, was proposed in [16].…”

Section: Introductionmentioning

confidence: 99%