Instanton correction of prepotential in Ruijsenaars model associated with N=2 SU(2) Seiberg–Witten theory

Ohta, Yasuyo

doi:10.1063/1.533360

Cited by 5 publications

(4 citation statements)

References 37 publications

(46 reference statements)

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“…In the context of Seiberg-Witten theory, the elliptic RS integrable system can be linked with the relevant low energy effective action when a compactification from five dimension to four dimension is imposed with all of the fields belong to the adjoint representation of SU(N) gauge group [6]. More evidence for this correspondence between SYM and RS model is depicted by calculating instanton correction of prepotential for SU(2) Seiberg-Witten theory in [32].…”

Section: The C N Modelmentioning

confidence: 99%

“…5 More evidence for this correspondence between the SYM and RS models is depicted by calculating instanton correction of prepotential for SU͑2͒ Seiberg-Witten theory in Ref. 32.…”

Section: Spectral Curves Of the C N And Bc N Rs Systemsmentioning

confidence: 99%

“…5 Instanton correction of the prepotential associated with the sl 2 RS system has been calculated in Ref. 32.…”

Section: The a Nà1 -Type Ruijsenaars-schneider Modelmentioning

confidence: 99%

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The Lax pairs for elliptic Cn and BCn Ruijsenaars–Schneider models and their spectral curves

Chen

Hou

Yang

2001

Journal of Mathematical Physics

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We study the elliptic C n and BC n Ruijsenaars-Schneider models which are elliptic generalization of systems given in previous paper by the present authors ͓Chen et al., J. Math. Phys. 41, 8132 ͑2000͔͒. The Lax pairs for these models are constructed by Hamiltonian reduction technology. We show that the spectral curves can be parametrized by the involutive integrals of motion for these models. Taking nonrelativistic limit and scaling limit, we verify that they lead to the systems corresponding to Calogero-Moser and Toda types.

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Section: The C N Modelmentioning

confidence: 99%

“…5 More evidence for this correspondence between the SYM and RS models is depicted by calculating instanton correction of prepotential for SU͑2͒ Seiberg-Witten theory in Ref. 32.…”

Section: Spectral Curves Of the C N And Bc N Rs Systemsmentioning

confidence: 99%

See 1 more Smart Citation

The Lax pairs for elliptic Cn and BCn Ruijsenaars–Schneider models and their spectral curves

Chen

Hou

Yang

2001

Journal of Mathematical Physics

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“…Instanton correction of prepotential associated with sl 2 RS system have been calculated in Ref. [27].…”

Section: A N−1 -Type Ruijsenaars-schneider Modelmentioning

confidence: 99%

Integrability of the Cn and BCn Ruijsenaars–Schneider models

Chen

Hou

Yang

2000

Journal of Mathematical Physics

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Abstract:We study the C n and BC n Ruijsenaars-Schneider(RS) models with interaction potential of trigonometric and rational types. The Lax pairs for these models are constructed and the involutive Hamiltonians are also given. Taking nonrelativistic limit, we also obtain the Lax pairs for the corresponding CalogeroMoser systems. PACS: 02.20.+b, 11.10.Lm, 03.80.+r I IntroductionRuijsenaars-Schneider(RS) and Calogero-Moser(CM) models as integrable many-body models recently have attracted remarkable attention and have been extensively studied. They describe one-dimensional n-particle system with pairwise interaction. Their importance lies in various fields ranging from lattice models in statistics physics [1,2], the field theory to gauge theory [3,4] Ref. [17], the authors show that for the sl 2 trigonometric RS and CM models exist the same non-dynamical r -matrix structure compared with the usual dynamical ones. On the other hand, similar to Hasegawa's result that A N −1 RS model is related to the Z n Sklyanin algebra, the integrability of CM model can be depicted by sl N Gaudin algebra [18].As for the C n type RS model, commuting difference operators acting on the space of functions on the C 2 type weight space have been constructed by Hasegawa et al in Ref. [16]. Extending that work, the diagonalization of elliptic difference system of that type has been studied by Kikuchi in Ref. [19]. Despite of the fact that the Lax pairs for CM models have *

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