Anomalous generation of Chern-Simons terms in D=3, N=2 supersymmetric gauge theories (original) (raw)
Related papers
Remarks on N=2 supersymmetric Chern-Simons theories
Physics Letters B, 1992
We discuss the complete superspace formulation of general non-abelian N= 2 supersymmetric Chern-Simons theories. It is shown that the component level spin-0 self-interactions in such models are not completely determined by the superpotential. We compute the anomalous dimensions and beta-functions of the N= 2 supersymmetric non-abelian Chern-Simons theory, when the self-interactions of scalar multiplets are absent. A simple classification of the "soft-breaking terms" of N= 2 supersymmetry is also performed.
The Chern-Simons coefficient in supersymmetric Yang-Mills Chern-Simons theories
Physics Letters B, 1996
We study one-loop correction to the Chern-Simons coefficient κ = k/4π in N = 1, 2, 3 supersymmetric Yang-Mills Chern-Simons systems. In the pure bosonic case, the shift of the parameter k is known to be k → k + c v , where c v is the quadratic Casimir of the gauge group. In the N = 1 case, the fermionic contribution cancels the bosonic contribution by half and the shift is k → k + c v /2, making the theory anomalous if c v is odd. In the N = 2, 3 cases, the fermionic contribution cancels the bosonic contribution completely and there is no correction. We also calculate the mass corrections, showing the supersymmetry is preserved. As the matter fields decouple from the gauge field in the pure Chern-Simons limit, this work sheds some
Generalized Chern-Simons Terms and Chiral Anomalies in N=1 Supersymmetry
2008
The gauging of axionic, Stueckelberg-type, shift symmetries with generalized Chern-Simons terms and the Green-Schwarz mechanism of anomaly cancellation has recently been studied in the context of certain string compactifications and with regard to the phenomenology of unusual variants of Z'-bosons. In this talk, following recent work with De Rydt, Rosseel, Schmidt and Van Proeyen, I summarize how such theories can be reconciled with global and local N=1 supersymmetry. Two simple consistency conditions are shown to encode strong constraints on the allowed anomalies for different types of gauge groups.
ℵ0-extended supersymmetric Chern-Simons theory for arbitrary gauge groups
Physical Review D, 2004
We present a model of supersymmetric non-Abelian Chern-Simons theories in three-dimensions with arbitrarily many supersymmetries, called ℵ 0-extended supersymmetry. The number of supersymmetry N equals the dimensionality of any non-Abelian gauge group G as N = dim G. Due to the supersymmetry parameter in the adjoint representation of a local gauge group G, supersymmetry has to be local. The minimal coupling constant is to be quantized, when the homotopy mapping is nontrivial: π 3 (G) = Z Z. Our results indicate that there is still a lot of freedom to be explored for Chern-Simons type theories in three dimensions, possibly related to M-theory.
N = 1 super-Chern-Simons coupled to parity-preserving matter from Atiyah-Ward space-time
Physics Letters B, 1996
In this letter, we present the Parkes-Siegel formulation for the massive Abelian N =1 super-QED 2+2 coupled to a self-dual supermultiplet, by introducing a chiral multiplier superfield. We show that after carrying out a suitable dimensional reduction from (2+2) to (1+2) dimensions, and performing some necessary truncations, the simple supersymmetric extension of the τ 3 QED 1+2 coupled to a Chern-Simons term naturally comes out.
Parity-violating anomalies in supersymmetric gauge theories
Physics Letters B, 1985
The panty-v~olatmg part of the one-loop effectwe actton of scalar superflelds m parlty-mvarmnt three-d~mensmnal supersymmetrlc gauge theories is exphcltly found by means of the superspace heat kernel method Its mterpretatmn as a superspace analogue of the Atlyah-Pato&-Smger ~-mvarlant ~s proposed
Journal of High Energy Physics, 2010
Using N = 2 superspace techniques we compute the four-loop spectrum of single trace operators in the SU(2) × SU(2) sector of ABJM and ABJ supersymmetric Chern-Simons theories. Our computation yields a fourloop contribution to the function h 2 (λ) (and its ABJ generalization) in the magnon dispersion relation which has fixed maximum transcendentality and coincides with the findings in components given in the revised versions of arXiv:0908.2463 and arXiv:0912.3460. We also discuss possible scenarios for an all-loop function h 2 (λ) that interpolates between weak and strong couplings.
N=2 Superstring Theory Generates Supersymmetric Chern-Simons Theories
Modern Physics Letters A, 1994
We show that the action of self-dual supersymmetric Yang-Mills theory in four dimensions, which describes the consistent massless background fields for N=2 superstring, generates the actions for N=1 and N=2 supersymmetric non-Abelian Chern-Simons theories in three dimensions after some dimensional reductions. Since the latters play important roles for supersymmetric integrable models, this result indicates the fundamental significance of the N=2 superstring theory controlling (possibly all) supersymmetric integrable models in lower dimensions.
Superspace calculation of the four-loop spectrum in supersymmetric Chern-Simons theories
Journal of High Energy Physics
Using superspace techniques we compute the four-loop spectrum of single trace operators in the SU(2) × SU(2) sector of ABJM and ABJ supersymmetric Chern-Simons theories. Our computation yields a four-loop contribution to the function h 2(λ) (and its ABJ generalization) in the magnon dispersion relation which has fixed maximum transcendentality and coincides with the findings in components given in the revised versions of arXiv:0908.2463 and arXiv:0912.3460. We also discuss possible scenarios for an all-loop function h 2(λ) that interpolates between weak and strong couplings.
Axion gauge symmetries and generalized Chern-Simons terms in N =1 supersymmetric theories
Journal of High Energy Physics, 2004
We compute the extension of the Lagrangian of N = 1 supersymmetric theories to the case in which some axion symmetries are gauged. It turns out that generalized Chern-Simons terms appear that were not considered in previous superspace formulations of general N = 1 theories. Such gaugings appear in supergravities arising from flux compactifications of superstrings, as well as from Scherk-Schwarz generalized dimensional reduction in M-theory. We also present the dual superspace formulation where axion chiral multiplets are dualized into linear multiplets.