Anomalous supersymmetry transformation of some composite operators in SQCD

Konishi, Kenichi

doi:10.1016/0370-2693(84)90311-3

Cited by 324 publications

(292 citation statements)

References 10 publications

Supporting

Mentioning

286

Contrasting

Unclassified

Order By: Relevance

“…The correction terms in the superconformal currents are linear in P and generate linear dilaton in the asymptotic region. (Alternatively, one can obtain the whole current superfield by cancelling the Konishi anomaly [16] associated to the axial anomaly.) We find that the central charge is 5) which coincides with the central charge of the level k SL(2, R)/ U(1) Kazama-Suzuki model.…”

Section: Jhep08(2001)045mentioning

confidence: 99%

See 1 more Smart Citation

Duality of the fermionic 2d black hole and N = 2 Liouville theory as mirror symmetry

Hori

Kapustin

2001

J. High Energy Phys.

218

427

View full text Add to dashboard Cite

Abstract:We prove the equivalence of the SL(2, R)/ U(1) Kazama-Suzuki model, which is a fermionic generalization of the 2d Black Hole, and N = 2 Liouville theory. We show that this duality is an example of mirror symmetry. The essential part of the derivation is to realize the fermionic 2d Black Hole as the low energy limit of a gauged linear sigma-model. Liouville theory is obtained by dualizing the charged scalar fields and taking into account the vortex-instanton effects, as proposed recently in non-dilatonic models. The gauged linear sigma-model we study has many useful generalizations which we briefly discuss. In particular, we show how to construct a variety of dilatonic superstring backgrounds which generalize the fermionic 2d Black Hole and admit a mirror description in terms of Toda-like theories.

show abstract

Section: Jhep08(2001)045mentioning

confidence: 99%

“…The equation (4.10) is a (1 + 1)-dimensional version of the Konishi anomaly [16], and its detailed derivation is given in appendix C.…”

Section: Jhep08(2001)045mentioning

confidence: 99%

Duality of the fermionic 2d black hole and N = 2 Liouville theory as mirror symmetry

Hori

Kapustin

2001

J. High Energy Phys.

218

427

View full text Add to dashboard Cite

show abstract

“…Above W 2 is the supersymmetric gauge field kinetic term (function of V), g is the holomorphic coupling constant and d 6 z and d 8 z include integration over the fermionic superspace variables. The main tool in deriving ∆a| N=1 is the use of the Konishi anomaly [13][14][15] which is also of use in deriving the NSVZ β-function e.g. [12] or the appendix of [10].…”

Section: N = 1 Supersymmetric Gauge Theorymentioning

confidence: 99%

“…This number has to be multiplied by by flavour and colour numbers: 2N f (two matter-field per flavour) and N c (the S U(N c ) Casimir of the adjoint representation). Finally ∆a is given by 2N f N c ν∆a| (13) γ UV,IR →δγ UV,IR . With (γ UV , γ IR ) = (0, γ * ) leads to (δγ UV , δγ IR ) = (−γ * , 0) and finally…”

Section: ∆A| N=1 From Dilaton Effective Action and Konishi Anomalymentioning

confidence: 99%

N=1 Euler Anomaly from RG-dependent metric-Background

Prochazka

Zwicky

2017

EPJ Web Conf.

View full text Add to dashboard Cite

Abstract. We consider N = 1 supersymmetric gauge theories in the conformal window. By applying a suitable matter superfield-and Weyl-transformation the renormalisation group running of the theory is absorbed into the metric. The latter becomes a function of the Z-factor and the infrared anomalous dimension of the matter superfield. The Euler flow ∆a ≡ a UV − a IR | N=1 becomes equivalent to a computation of a free theory with the non-trivial dynamics coming from expanding the Euler invariant in the flow dependent metric. The result is therefore directly obtained in terms of the infrared anomalous dimension confirming an earlier result using the matching of R-currents.

show abstract

“…In short the familiar results for the renormalization of the trace of the supercurrent are assumed to hold in the spontaneous breaking domain wall case as well as in its absence [24], [29]. With a further renormalization of the supercurrent, denoted…”

Section: Radiative Correctionsmentioning

confidence: 99%

Domain walls, the extended superconformal algebra and the supercurrent

2007

View full text Add to dashboard Cite

The presence of a domain wall is shown to require a tensorial central charge extension of the superconformal algebra. The currents associated with the conformal central charges are constructed as spacetime moments of the SUSY tensorial central charge current. The supercurrent is obtained and it contains the R symmetry current, the SUSY spinor currents, the energy-momentum tensor and the SUSY tensorial central charge currents as its component currents. All tensorial central charge extended superconformal currents are constructed from the supercurrent. The superconformal currents' and the conformal tensorial central charge currents' (non-)conservation equations are expressed in terms of the generalized trace of the supercurrent. It is argued that although the SUSY tensorial central charges are uncorrected, the conformal tensorial central charges receive radiative corrections.

show abstract

Anomalous supersymmetry transformation of some composite operators in SQCD

Cited by 324 publications

References 10 publications

Duality of the fermionic 2d black hole and N = 2 Liouville theory as mirror symmetry

Duality of the fermionic 2d black hole and N = 2 Liouville theory as mirror symmetry

N=1 Euler Anomaly from RG-dependent metric-Background

Domain walls, the extended superconformal algebra and the supercurrent

Contact Info

Product

Resources

About