Renormalizations in supersymmetric and nonsupersymmetric non-abelian Chern-Simons field theories with matter

Avdeev, L.V.; Kazakov, D. I.; Kondrashuk, Igor

doi:10.1016/0550-3213(93)90151-e

Cited by 103 publications

(144 citation statements)

References 15 publications

Supporting

Mentioning

136

Contrasting

Order By: Relevance

“…This explains why N f in (3.13) is replaced with N f + N f in (3.14). This argument also extends previous weak coupling computations in vector-like theories without N = 3 deformations [10,14,17,25,[29][30][31]] to chiral field theories. and the extremization equation, one finds that the solutions are the same as in the vector like case, but we also get two inconsistent equations.…”

Section: The Saddle Point Approachsupporting

confidence: 64%

See 1 more Smart Citation

$ \mathcal{Z} $ extremization in chiral-like Chern-Simons theories

Amariti

Siani

2012

J. High Energ. Phys.

View full text Add to dashboard Cite

Abstract:We study the localized free energy on S 3 of three-dimensional N = 2 Chern-Simons matter theories at weak coupling. We compute the two loop R charge in three different ways, namely by the standard perturbative approach, by extremizing the localized partition function at finite N and by applying the standard saddle point approximation for large N . We show that the latter approach does not reproduce the expected result when chiral theories are considered. We circumvent these problems by restoring a reflection symmetry on the eigenvalues in the free energy. Thanks to this symmetrization we find that the three methods employed agree. In particular we match the computation for a model whose four dimensional parent is the quiver gauge theory describing D3 branes probing the Hirzebruch surface. We conclude by commenting on the application of our results and to the strong coupling regime.arXiv:1109.4152v1 [hep-th]

show abstract

Section: The Saddle Point Approachsupporting

confidence: 64%

“…Anyway we will only present the final result and stress that it agrees with the other methods employed. The interested reader is referred to [25] for the details of the standard perturbative approach.…”

Section: F Extremizationmentioning

confidence: 99%

$ \mathcal{Z} $ extremization in chiral-like Chern-Simons theories

Amariti

Siani

2012

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…To pursue this one would also want to study the superconformal symmetry of any proposed dual Chern-Simons theories at the quantum level. (For references on renormalization properties of Chern-Simons theories see [19] [20] [21]. )…”

Section: Discussionmentioning

confidence: 99%

Superconformal Chern–Simons Theories

Bandres¹,

Lipstein²,

Schwarz³

2004

J. High Energy Phys.

366

657

View full text Add to dashboard Cite

show abstract

“…In flat space, the renormalization of 2+1 dimensional quantum field theory has been studied at the perturbative level [12,13,14] and in the large N expansion [15,16,17,18,19]. Besides the finiteness of pure gravity in three dimensions [3], there have been studies on the renormalizability of quantum gravity near two dimensions [20].…”

Section: Introductionmentioning

confidence: 99%

Renormalization of quantum gravity coupled with matter in three dimensions

Anselmi

2004

Nuclear Physics B

View full text Add to dashboard Cite

In three spacetime dimensions, where no graviton propagates, pure gravity is known to be finite. It is natural to inquire whether finiteness survives the coupling with matter. Standard arguments ensure that there exists a subtraction scheme where no Lorentz-Chern-Simons term is generated by radiative corrections, but are not sufficiently powerful to ensure finiteness. Therefore, it is necessary to perform an explicit (two-loop) computation in a specific model. I consider quantum gravity coupled with ChernSimons U (1) gauge theory and massless fermions and show that renormalization originates four-fermion divergent vertices at the second loop order. I conclude that quantum gravity coupled with matter, as it stands, is not finite in three spacetime dimensions.

show abstract

Renormalizations in supersymmetric and nonsupersymmetric non-abelian Chern-Simons field theories with matter

Cited by 103 publications

References 15 publications

$ \mathcal{Z} $ extremization in chiral-like Chern-Simons theories

$ \mathcal{Z} $ extremization in chiral-like Chern-Simons theories

Superconformal Chern–Simons Theories

Renormalization of quantum gravity coupled with matter in three dimensions

Contact Info

Product

Resources

About