Nonholomorphic corrections to the one-loop N = 2 super Yang-Mills action

Wit, Bernard de; Grisaru, Marcus T.; Roček, Martin

doi:10.1016/0370-2693(96)00173-6

Cited by 132 publications

(271 citation statements)

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“…We also found that a naive attempt to define a Wilsonian effective Kähler potential was incompatible with special geometry even for the massless sector, and hence, with N = 2 supersymmetry [1]. Here we show that some of the one-loop corrections to the effective Kähler potential give rise to infrared divergent terms in the component expansion of the 1-PI effective action, so we cannot ignore the problem.…”

Section: Introductionmentioning

confidence: 72%

“…We have not analyzed the effects of these higher dimension terms in detail; though they may lead to modifications of the explicit 1-loop H 0 found in [1], we believe that they do not change any of our qualitative conclusions. In particular, it is clear that they can only contribute to the massive sector, as they all involve commutators.…”

Section: Higher Dimension Terms and Ambiguitiesmentioning

confidence: 86%

“…However, as discussed in [1], such a cutoff is incompatible with special geometry: restricting to the abelian sector [φ,φ] = 0, where H can give only higher derivative contributions [6] and cannot contribute to the effective Kähler potential, we find a change s ln s → (µ 2 + s) ln(µ 2 + s). This cannot be written in the form Im(φF ′ (φ)) for any holomorphic function F (φ), and is thus incompatible with N = 2 supersymmetry.…”

Section: Infrared Issuesmentioning

confidence: 89%

“…Recently, we computed the one-loop effective Kähler potential for N = 2 supersymmetric QCD [1]. For the 1-PI generating functional, we found terms that violated special geometry; we were able to interpret them as arising from higher dimension terms in N = 2 superspace.…”

Section: Introductionmentioning

confidence: 87%

“…In [1], we did not consider whether even higher dimensional terms in N = 2 superspace could give rise to corrections to the Kähler potential. Here we find all possible local higher dimension terms that can give such contributions.…”

Section: Introductionmentioning

confidence: 99%

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On N = 2 low energy effective actions

et al. 1996

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We propose a Wilsonian action compatible with special geometry and higher dimension N = 2 corrections, and show that the holomorphic contribution F to the low energy effective action is independent of the infrared cutoff. We further show that for asymptotically free SU (2) super Yang-Mills theories, the infrared cutoff can be tuned to cancel leading corrections to F. We also classify all local higher-dimensional contributions to the N = 2 superspace effective action that produce corrections to the Kähler potential when reduced to N = 1 superspace.

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Section: Introductionmentioning

confidence: 72%

Section: Higher Dimension Terms and Ambiguitiesmentioning

confidence: 86%

Section: Infrared Issuesmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 87%

Section: Introductionmentioning

confidence: 99%

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On N = 2 low energy effective actions

et al. 1996

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Ketov

1999

Fortschr. Phys.

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Exact solutions to the low‐energy effective action (LEEA) of the four‐dimensional N = 2 supersymmetric gauge theories are known to be obtained either by quantum field theory methods from S‐duality in the Seiberg‐Witten approach, or by the Type‐IIA superstring/M‐Theory methods of brane technology. After a brief review of the standard field‐theoretical results for the N = 2 gauge (Seiberg‐Witten) LEEA, we consider a field‐theoretical derivation of the exact hypermultiplet LEEA by using the N = 2 harmonic superspace methods. We illustrate our techniques on a number of explicit examples. Our main purpose, however, is to discuss the existing analytical (calculational) support for the alternative methods of brane technology. We summarize known exact solutions to the eleven‐dimensional and ten‐dimensional type‐IIA supergravities, which describe classical configurations of intersecting BPS branes with eight supercharges relevant to the non‐perturbative N = 2 gauge theory with fundamental hypermultiplet matter. The crucial role of the M‐Theory in providing a classical resolution of singularities in the ten‐dimensional (Type‐IIA superstring) brane picture, as well as the N = 2 extended supersymmetry in four dimensions, are made manifest. The two approaches to a derivation of the exact N = 2 gauge theory LEEA are thus seen to be complementary to each other and mutually dependent.

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Introduction to Rigid Supersymmetric Theories

West

NATO Science Series: B:

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In these lectures we discuss the supersymmetry algebra and its irreducible representations. We construct the theories of rigid supersymmetry and gave their superspace formulations. The perturbative quantum properties of the extended supersymmetric theories are derived, including the superconformal invariance of a large class of these theories as well as the chiral effective action for N = 2 Yang-Mills theory. The superconformal transformations in four dimensional superspace are derived and encoded into one superconformal Killing superfield. It is also shown that the anomalous dimensions of chiral operators in a superconformal quantum field are related to their R weight.Some of this material follows the book of reference [0] by the author. Certain chapters of this book are reproduced, however, in other sections the reader is referred to the relevant parts of reference [0]. In this review, chapter 6 on superconformal theories and three sections of chapter 5 on flat directions, non-holomorphicity and the chiral effective action for N = 2 Yang-Mills theory are new material.The aim of the lectures is to provide the reader with the material required to understand more recent developments in the non-perturbative properties of quantum extended supersymmetric theories. ‡ This material is based on lectures presented at the Nato conference on "Confinement, Duality, and Nonperturbative Aspects of QCD", the Issac Newton Institute, Cambridge, UK and at the TASI 1998 Summer School, Boulder, Colorado, USA.

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Nonholomorphic corrections to the one-loop N = 2 super Yang-Mills action

Cited by 132 publications

References 12 publications

On N = 2 low energy effective actions

On N = 2 low energy effective actions

Untitled

Introduction to Rigid Supersymmetric Theories

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