One-instanton predictions for non-hyperelliptic curves derived from M-theory

We present a matrix-model expression for the sum of instanton contributions to the prepotential of an N = 2 supersymmetric U(N ) gauge theory, with matter in various representations. This expression is derived by combining the renormalization-group approach to the gauge theory prepotential with matrix-model methods. This result can be evaluated order-by-order in matrix-model perturbation theory to obtain the instanton corrections to the prepotential. We also show, using this expression, that the one-instanton prepotential assumes a universal form.

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“…35) obtained for this theory in Ref. [25]. This result was obtained previously using the matrix model in the N f = 0 case [9].…”

Section: Universality Of the One-instanton Prepotentialsupporting

confidence: 82%

Improved matrix-model calculation of theN= 2 prepotential

Gómez–Reino

Naculich

Schnitzer

2004

J. High Energy Phys.

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“…while for models containing one antisymmetric representation of SU(N ) [8,10] or the adjoint representation of SO(N ), the one-instanton prepotential is 4) and for models containing two antisymmetric representations of SU(N ) [12], it is…”

Section: Universalitymentioning

confidence: 99%

“…His result is in agreement with the predictions of refs. [9,10] obtained using the M-theory curve of ref. [16].…”

Section: Introductionmentioning

confidence: 99%

Elliptic models and M-theory

et al. 2000

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We give a unified analysis of four-dimensional elliptic models with N = 2 supersymmetry and a simple gauge group, and their relation to M-theory. Explicit calculations of the Seiberg-Witten curves and the resulting one-instanton prepotential are presented. The remarkable regularities that emerge are emphasized. In addition, we calculate the prepotential in the Coulomb phase of the (asymptotically-free) Sp(2N ) gauge theory with N f fundamental hypermultiplets of arbitrary mass.

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“…In particular, for SU(N ), the one-instanton prepotential has the form [3,13,14] 8πi one hypermultiplet in the antisymmetric representation and N f hypermultiplets in the defining representation, it is given by [12,14] 8πi…”

Section: The Prepotentialmentioning

confidence: 99%

“…to the cubic curve [11,14] for a single hypermultiplet in the antisymmetric representation and N f hypermultiplets in the defining representation, for leading terms of the coefficient functions.…”

Section: The Curvementioning

confidence: 99%

Two antisymmetric hypermultiplets in N = 2SU(N) gauge theory: Seiberg-Witten curve and M-theory interpretation

et al. 1999

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The one-instanton contribution to the prepotential for N = 2 supersymmetric gauge theories with classical groups exhibits a universality of form. We extrapolate the observed regularity to SU(N ) gauge theory with two antisymmetric hypermultiplets and N f ≤ 3 hypermultiplets in the defining representation. Using methods developed for the instanton expansion of non-hyperelliptic curves, we construct an effective quartic Seiberg-Witten curve that generates this one-instanton prepotential. We then interpret this curve in terms of an M-theoretic picture involving NS 5-branes, D4-branes, D6-branes, and orientifold sixplanes, and show that for consistency, an infinite chain of 5-branes and orientifold sixplanes is required, corresponding to a curve of infinite order.

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One-instanton predictions for non-hyperelliptic curves derived from M-theory

Cited by 18 publications

References 54 publications

Improved matrix-model calculation of theN= 2 prepotential

Improved matrix-model calculation of theN= 2 prepotential

Elliptic models and M-theory

Two antisymmetric hypermultiplets in N = 2SU(N) gauge theory: Seiberg-Witten curve and M-theory interpretation

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