On N = 2 low energy effective actions

Lindström, Ulf; Gonzalez-Rey, F.; Roček, Martin; Unge, Rikard von

doi:10.1016/s0370-2693(96)01174-4

Cited by 31 publications

(30 citation statements)

References 10 publications

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“…For conformal N = 2 theories the possible new terms that can appear in the effective action have been extensively studied [25,53,[56][57][58] and classified in [25] by studying all the possible superconformal invariants. Schematically, they are 15 15 The effective action as written in (6.4) is actually only for the case where we are in the Coulomb branch and SU(N )…”

Section: Classification Of Possible New Vertices In the Effective Actionmentioning

confidence: 99%

Integrability inN=2superconformal gauge theories

Pomoni

2015

Nuclear Physics B

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Any N=2 superconformal gauge theory (including N=4 SYM) contains a set of local operators made only out of fields in the N=2 vector multiplet that is closed under renormalization to all loops, namely the SU(2,1|2) sector. For planar N=4 SYM the spectrum of local operators can be obtained by mapping the problem to an integrable model (a spin chain in perturbation theory), in principle for any value of the coupling constant. We present a diagrammatic argument that for any planar N=2 superconformal gauge theory the SU(2,1|2) Hamiltonian acting on infinite spin chains is identical to all loops to that of N=4 SYM, up to a redefinition of the coupling constant. Thus, this sector is integrable and anomalous dimensions can be, in principle, read off from the N=4 ones up to this redefinition.Comment: 42 pages, 33 figure

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Section: Classification Of Possible New Vertices In the Effective Actionmentioning

confidence: 99%

Integrability inN=2superconformal gauge theories

Pomoni

2015

Nuclear Physics B

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“…The quantum action ∆S SYM given in (22) depends on V ++ via the dependence of v To construct the effective action, we will follow the Faddeev-Popov Ansatz. Within the framework of the background field method, we should fix only the quantum transformations (20). Let us introduce the gauge fixing function in the form…”

Section: And Its Transformation Law Ismentioning

confidence: 99%

“…The problem of the effective action in the N = 2 super Yang-Mills theory with matter has recently been studied in refs. [16]- [20]. However, all these computations of the effective action in N = 2 super Yang-Mills theories were given in terms of N = 1 superfields without manifest realization of the N = 2 supersymmetry.…”

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confidence: 99%

The background field method for N=2 super Yang-Mills theories in harmonic superspace

et al. 1998

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The background field method for N = 2 super Yang-Mills theories in harmonic superspace is developed. The ghost structure of the theory is investigated. It is shown that the ghosts include two fermionic real ω-hypermultiplets (FaddeevPopov ghosts) and one bosonic real ω-hypermultiplet (Nielsen-Kallosh ghost), all in the adjoint representation of the gauge group. The one-loop effective action is analysed in detail and it is found that its structure is determined only by the ghost corrections in the pure super Yang-Mills theory. As applied to the case of N = 4 super Yang-Mills theory, realized in terms of N = 2 superfields, the latter result leads to the remarkable conclusion that the one-loop effective action of the theory does not contain quantum corrections depending on the N = 2 gauge superfield only. We show that the leading low-energy contribution to the one-loop effective action in the N = 2 SU (2) super Yang-Mills theory coincides with Seiberg's perturbative holomorphic effective action.

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“…The function H been studied in [36][37][38][39][40][41][42][43]. Some general facts such as its behavior under SL(2, Z) were discussed in [36], and its asymptotic behavior was discussed in [40,41].…”

Section: Field Theorymentioning

confidence: 99%

Kähler potential and higher derivative terms from M-theory fivebrane

et al. 1998

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The construction of four dimensional supersymmetric gauge theories via the fivebrane of M theory wrapped around a Riemann surface has been successfully applied to the computation of holomorphic quantities of field theory. In this paper we compute non-holomorphic quantities in the eleven dimensional supergravity limit of M theory. While the Kähler potential on the Coulomb of N = 2 theories is correctly reproduced, higher derivative terms in the N = 2 effective action differ from what is expected for the four dimensional gauge theory. For the Kähler potential of N = 1 theories at an abelian Coulomb phase, the result again differs from what is expected for the four-dimensional gauge theory. Using a gravitational back reaction method for the fivebrane we compute the metric on the Higgs branch of N = 2 gauge theories. Here we find an agreement with the results expected for the gauge theories. A similar computation of the metric on N = 1 Higgs branches yields information on the complex structure associated with the flavor rotation in one case and the classical metric in another. We discuss what four-dimensional field theory quantities can be computed via the fivebrane in the supergravity limit of M theory.

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On N = 2 low energy effective actions

Cited by 31 publications

References 10 publications

Integrability inN=2superconformal gauge theories

Integrability inN=2superconformal gauge theories

The background field method for N=2 super Yang-Mills theories in harmonic superspace

Kähler potential and higher derivative terms from M-theory fivebrane

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