Generalized N = 2 supersymmetric Toda field theories

Wyllard, Niclas

doi:10.1016/s0550-3213(97)00058-8

Cited by 3 publications

(2 citation statements)

References 24 publications

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“…Another test of our result is to check that it transforms correctly under the Seiberg-Witten map [11]. We hope to return to this question elsewhere [32].…”

Section: Corrections To the Born-infeld Termmentioning

confidence: 94%

Derivative corrections to D-brane actions with constant background fields

Wyllard¹

2001

Nuclear Physics B

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175

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We study derivative corrections to the effective action for a single D-brane in type II superstring theory coupled to constant background fields. In particular, within this setting we determine the complete expression for the (disk-level) fourderivative corrections to the Born-Infeld part of the action. We also determine 2nform 2n-derivative corrections to the Wess-Zumino term. Both types of corrections involve all orders of the gauge field strength, F . The results are obtained via string σ-model loop calculations using the boundary state operator language. The corrections can be succinctly written in terms of the Riemann tensor for a nonsymmetric metric.

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“…Another test of our result is to check that it transforms correctly under the Seiberg-Witten map [11]. We hope to return to this question elsewhere [32].…”

Section: Corrections To the Born-infeld Termmentioning

confidence: 94%

Derivative corrections to D-brane actions with constant background fields

Wyllard¹

2001

Nuclear Physics B

Self Cite

175

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“…The supersymmetric version of the rational CMS system has also been studied in the literature in different context [8][9][10][11][12][13][14]. The zero fermion sector of the supersymmetric CMS describes the usual CMS model, while the N fermion sector describes the CMS model at a shifted value of the coupling constant [10].…”

Section: Introductionmentioning

confidence: 99%

Super-Calogero–Moser–Sutherland systems and free super-oscillators: a mapping

Ghosh

2001

Nuclear Physics B

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We show that the supersymmetric rational Calogero-Moser-Sutherland (CMS) model of A N +1 -type is equivalent to a set of free super-oscillators, through a similarity transformation. We prescribe methods to construct the complete eigen-spectrum and the associated eigen-functions, both in supersymmetry-preserving as well as supersymmetry-breaking phases, from the free super-oscillator basis. Further we show that a wide class of super-Hamiltonians realizing dynamical OSp(2|2) supersymmetry, which also includes all types of rational super-CMS as a small subset, are equivalent to free super-oscillators. We study BC N +1 -type super-CMS model in some detail to understand the subtleties involved in this method.

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NC Effective Gauge Model for Multilayer FQH States

Rhalami¹,

Saidi²

2002

J. High Energy Phys.

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We develop an effective field model for describing FQH states with rational filling factors that are not of Laughlin type. These kinds of systems, which concern single layer hierarchical states and multilayer ones, were observed experimentally; but have not yet a satisfactory non commutative effective field description like in the case of Susskind model. Using D brane analysis and fiber bundle techniques, we first classify such states in terms of representations characterized, amongst others, by the filling factor of the layers; but also by proper subgroups of the underlying U (n) gauge symmetry. Multilayer states in the lowest Landau level are interpreted in terms of systems of D2 branes; but hierarchical ones are realized as Fiber bundles on D2 which we construct explicitly. In this picture, Jain and Haldane series are recovered as special cases and have a remarkable interpretation in terms of Fiber bundles with specific intersection matrices. We also derive the general NC commutative effective field and matrix models for FQH states, extending Susskind theory, and give the general expression of the rational filling factors as well as their non abelian gauge symmetries.

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Generalized N = 2 supersymmetric Toda field theories

Cited by 3 publications

References 24 publications

Derivative corrections to D-brane actions with constant background fields

Derivative corrections to D-brane actions with constant background fields

Super-Calogero–Moser–Sutherland systems and free super-oscillators: a mapping

NC Effective Gauge Model for Multilayer FQH States

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