Geometric description of extended BRS symmetry in superfield formulation

Bonora, L.; Pasti, P.; Tonin, M.

doi:10.1007/bf02772516

Cited by 90 publications

(240 citation statements)

References 5 publications

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“…As a consequence of our earlier result in (21), it can be checked that the following is true, namely;…”

Section: Invariance Of the Lagrangian Density: Superfield Approach Anmentioning

confidence: 59%

“…Further, we have found that the geometrical interpretation for the symmetry transformations remains intact in our present method of derivation vis-à-vis the ones where the mathematical strength of the (dual-)horizontality conditions is properly utilized [37]. Thus, both methods of derivation are consistent and, in some cases, complementary to each other (see, e.g., [20,21,33,34]). …”

Section: Discussionmentioning

confidence: 72%

“…This is a novel result in our previous [33,34] and present investigations. These two sacrosanct properties emerge automatically in the superfield approach where the full expansions of superfields along all the Grassmannian directions (1, , , ) of the supermanifolds are taken into account (see, e.g., [20,21]). …”

Section: Discussionmentioning

confidence: 99%

“…In other words, there are no (anti)chiral expansions for this field which implies that the superfield generalization is ( ) →̃( B, , , ) ( , ) = ( ). Here we have taken the results of earlier works [20,21,[25][26][27][28] where it has been established that the coefficients of and/or correspond to the nilpotent symmetries. In this context, it is pertinent to point out that the BRST invariant quantities (when generalized onto a (2, 1)-dimensional antichiral supersubmanifold) must be independent of the "soul" coordinate because the latter is not physically realized.…”

Section: (Anti-)brst Symmetries: Superfield Approachmentioning

confidence: 99%

“…The usual superfield approach [18][19][20][21][22][23][24] to Becchi-RouetStora-Tyutin (BRST) formalism takes into account the mathematical strength and beauty of the horizontality condition (HC) to obtain the off-shell nilpotent and absolutely anticommuting (anti-)BRST symmetry transformations for the gauge and associated (anti-)ghost fields of a given -form ( = 1, 2, 3, . .…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

(Anti)chiral Superfield Approach to Nilpotent Symmetries: Self-Dual Chiral Bosonic Theory

Srinivas

Bhanja

Malik

2017

Advances in High Energy Physics

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We exploit the beauty and strength of the symmetry invariant restrictions on the (anti)chiral superfields to derive the BecchiRouet-Stora-Tyutin (BRST), anti-BRST, and (anti-)co-BRST symmetry transformations in the case of a two (1 + 1)-dimensional (2 ) self-dual chiral bosonic field theory within the framework of augmented (anti)chiral superfield formalism. Our 2 ordinary theory is generalized onto a (2, 2)-dimensional supermanifold which is parameterized by the superspace variable = ( , , ), where (with = 0, 1) are the ordinary 2 bosonic coordinates and ( , ) are a pair of Grassmannian variables with their standard relationships: 2 = 2 = 0, + = 0. We impose the (anti-)BRST and (anti-)co-BRST invariant restrictions on the (anti)chiral superfields (defined on the (anti)chiral (2, 1)-dimensional supersubmanifolds of the above general (2, 2)-dimensional supermanifold) to derive the above nilpotent symmetries. We do not exploit the mathematical strength of the (dual-)horizontality conditions anywhere in our present investigation. We also discuss the properties of nilpotency, absolute anticommutativity, and (anti-)BRST and (anti-)co-BRST symmetry invariance of the Lagrangian density within the framework of our augmented (anti)chiral superfield formalism. Our observation of the absolute anticommutativity property is a completely novel result in view of the fact that we have considered only the (anti)chiral superfields in our present endeavor.

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“…As a consequence of our earlier result in (21), it can be checked that the following is true, namely;…”

Section: Invariance Of the Lagrangian Density: Superfield Approach Anmentioning

confidence: 59%