Nonholomorphic terms in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mn /></mml:math>supersymmetric Wilsonian actions and the renormalization group equation

Bellisai, Diego; Fucito, F.; Matone, Marco; Travaglini, Gabriele

doi:10.1103/physrevd.56.5218

Cited by 34 publications

(39 citation statements)

References 60 publications

(116 reference statements)

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“…Their explicit form will determine the critical values of θ, n e and n m corresponding to possible cancellations of divergences and the appearance of possible zeros for M. Let us conclude by observing that, despite many technical difficulties, a noncommutative analogue [12] of the analysis of the instanton calculations performed in the context of the standard Seiberg-Witten model [13,14] is relevant in order to fix the structure of α and β.…”

Section: Jhep10(2000)026mentioning

confidence: 99%

Molecularly Flat Films of Linear Polyions and Proteins Obtained by the Alternate Adsorption Method

Onda¹,

Lvov²,

Ariga³

et al. 1997

Jpn. J. Appl. Phys.

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We show that the recently proposed formulation of non-commutative N = 2 Super Yang-Mills theory implies that the commutative and non-commutative effective coupling constants τ (u) and τ nc (u) coincide. We then introduce a key relation which allows to find a non-trivial solution of such equation, thus fixing the form of the low-energy effective action. The dependence on the non-commutative parameter arises from a rational function deforming the Seiberg-Witten differential.

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Section: Jhep10(2000)026mentioning

confidence: 99%

Molecularly Flat Films of Linear Polyions and Proteins Obtained by the Alternate Adsorption Method

Onda¹,

Lvov²,

Ariga³

et al. 1997

Jpn. J. Appl. Phys.

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“…2 It is known that the Dine-Seiberg conjecture is well supported by non-perturbative considerations [12,13]. But since the two-loop F 4 conclusion of [3] is no longer valid, it seems important to carry out an independent calculation of the two-loop F 4 quantum corrections in N = 2 superconformal theories.…”

Section: Introductionmentioning

confidence: 99%

On the two-loop four-derivative quantum corrections in 4D superconformal field theories

Kuzenko

McArthur

2004

Nuclear Physics B

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In N = 2, 4 superconformal field theories in four space-time dimensions, the quantum corrections with four derivatives are believed to be severely constrained by non-renormalization theorems. The strongest of these is the conjecture formulated by Dine and Seiberg in hep-th/9705057 that such terms are generated only at one loop. In this note, using the background field formulation in N = 1 superspace, we test the Dine-Seiberg proposal by comparing the two-loop F 4 quantum corrections in two different superconformal theories with the same gauge group SU (N ): (i) N = 4 SYM (i.e. N = 2 SYM with a single adjoint hypermultiplet); (ii) N = 2 SYM with 2N hypermultiplets in the fundamental. According to the Dine-Seiberg conjecture, these theories should yield identical two-loop F 4 contributions from all the supergraphs involving quantum hypermultiplets, since the pure N = 2 SYM and ghost sectors are identical provided the same gauge conditions are chosen. We explicitly evaluate the relevant two-loop supergraphs and observe that the F 4 corrections generated have different large N behaviour in the two theories under consideration. Our results are in conflict with the Dine-Seiberg conjecture.

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“…7: A two-loop N 2 HSS graph for the N 2 vector gauge LEEA in the N 2 HSS gauge field theories were studied in refs. [96,97], where their absence was argued within the standard instanton approach. Stated differently, the one-loop non-holomorphic result above represents the exact leading contribution to the LEEA in the N 2 superconformally invariant gauge field theories in D 4.…”

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confidence: 99%

Untitled

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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Nonholomorphic terms inN=2supersymmetric Wilsonian actions and the renormalization group equation

Cited by 34 publications

References 60 publications

Molecularly Flat Films of Linear Polyions and Proteins Obtained by the Alternate Adsorption Method

Molecularly Flat Films of Linear Polyions and Proteins Obtained by the Alternate Adsorption Method

On the two-loop four-derivative quantum corrections in 4D superconformal field theories

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