Exact scale invariance of the Chern-Simons theory in the Landau gauge

Delduc, F.; Lucchesi, Cláudio L.; Piguet, O.; Sorella, S. P.

doi:10.1016/0550-3213(90)90283-j

Cited by 111 publications

(115 citation statements)

References 16 publications

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“…Then the explicit form of N = 4 twisted SUSY generator can be given by 17) where θ has the same relation as (2.10) with θ: θ iα = (C −1 θ T C) iα . Next we consider super-Poincaré and R-rotation of N = 4 SUSY algebra,…”

Section: N = 4 Twisted Susy In Four Dimensionsmentioning

confidence: 99%

“…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 . We now consider only the positive part of supercharges {s + I }, the corresponding supercharge differential operators {Q + I } and superdifferential operators {D + I }, which fulfill N = 2 twisted SUSY algebra in four dimensions.…”

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%

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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 = 4 Twisted Susy In Four Dimensionsmentioning

confidence: 99%

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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“…(2.12), is to first send ε to zero and then m to infinity. Although there is no systematic study of such hybrid regularization methods, it may be argued that this double limit should yield a finite result, since the beta function [27,28] and the anomalous dimensions of the elementary fields [28] vanish for CS theory in the Landau gauge. Our definition of the large m limit would then make sense at any order in perturbation theory.…”

Section: The Large M Limit Feynman Rules and Regularizationmentioning

confidence: 99%

“…There are already a good many papers on perturbative CS theory [16,[18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. Most of them deal with the study of the Landau-gauge effective action and its properties.…”

Section: Introductionmentioning

confidence: 99%

Chern-Simons theory as the large-mass limit of topologically massive Yang-Mills theory

1992

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We study quantum Chern-Simons theory as the large mass limit of the limit D → 3 of dimensionally regularized topologically massive YangMills theory. This approach can also be interpreted as a BRS-invariant hybrid regularization of Chern-Simons theory, consisting of a highercovariant derivative Yang-Mills term plus dimensional regularization.Working in the Landau gauge, we compute radiative corrections up to second order in perturbation theory and show that there is no two-loop correction to the one-loop shift k → k + c V , k being the bare ChernSimons parameter. In passing we also prove by explicit computation that topologically massive Yang-Mills theory is UV finite.2

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Twisting D(2,1; α) Superspace

Andrianopoli

Cerchiai

Matrecano

et al. 2021

Fortschritte der Physik

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We develop a three‐dimensional N=4 theory of rigid supersymmetry describing the dynamics of a set of hypermultiplets (normalΛIαα′trueα̇′,ϕIαA) on a curved AdS3 worldvolume background, whose supersymmetry is captured by the supergroup normalD2false(2,1;αfalse). To unveil some remarkable features of this model, we perform two twists, involving the SL(2,R) factors of the theory. After the first twist, our spacetime Lagrangian exhibits a Chern‐Simons term associated with an odd one‐form field, together with a fermionic “gauge‐fixing”, in the spirit of the Rozansky‐Witten model. The second twist allows to interpret the normalD2false(2,1;αfalse) setup as a framework capable of describing massive Dirac particles. In particular, this yields a generalisation of the Alvarez‐Valenzuela‐Zanelli model of “unconventional supersymmetry”. We comment on specific values of the combination α+1, which in our model is related to a sort of gauging in the absence of dynamical gauge fields.

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Exact scale invariance of the Chern-Simons theory in the Landau gauge

Cited by 111 publications

References 16 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

Chern-Simons theory as the large-mass limit of topologically massive Yang-Mills theory

Twisting D(2,1; α) Superspace

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