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Ketov, Sergei V.

doi:10.1002/(sici)1521-3978(199906)47:6<643::aid-prop643>3.0.co;2-x

Cited by 10 publications

(24 citation statements)

References 90 publications

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“…However, magnetically charged (massive) hypermultiplets can have a non-trivial self-interaction [27,28]. This observation is consistent with the brane technology [29]. The corresponding LEEA just describes the low-energy dynamics of the BPS monopoles representing nonperturbative degrees of freedom, in the Lorentz-invariant way (cf.…”

Section: Introductionsupporting

confidence: 65%

“…Since the Seiberg-Witten curve Σ SW is known to have the simple geometrical interpretation in M-theory, where it can be considered as the part of a magnetically charged fivebrane worldvolume wrapped about Σ SW [65], it is conceivable that the hypermultiplet spectral curve Σ H may have, perhaps, a similar geometrical interpretation which is presumably related to (Dirichlet) 6-branes in ten-dimensional spacetime [29].…”

Section: Resultsmentioning

confidence: 99%

“…The failure to incorporate the off-shell (i.e. model-independent) FS hypermultiplet within the framework of the standard N=2 superspace has far reaching consequences in N=2 supersymmetry [29]. As regards the N=2 NLSM, it implies the impossibility to formulate the most general, manifestly N=2 supersymmetric NLSM in the standard N=2 superspace.…”

Section: N=2 Superspace and Nlsmmentioning

confidence: 99%

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KETOV¹

2000

Int. J. Mod. Phy. A

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We consider the general hypermultiplet low-energy effective actions (LEEA) that may appear in four-dimensional, N=2 supersymmetric Yang-Mills theories, e.g. in the Coulomb and Higgs branches. Our main purpose is a description of the exact LEEA of n magnetically charged hypermultiplets. The hypermultiplet LEEA is given by the N=2 supersymmetric non-linear sigma-model (NLSM) with a 4n-dimensional hyper-Kähler metric subject to relevant isometries. The harmonic superspace (HSS) and NLSM isometries are used to constrain the hyper-Kähler potential of the metric in question. The N=2 supersymmetric projections of HSS superfields to N=2 linear (tensor) O(2) and O(4) multiplets in N=2 projective superspace (PSS) are used to deduce the explicit form of the hypermultiplet LEEA metric in some particular cases. As the by-product, a simple new classification of all multi-monopole moduli space metrics having SO(3) rotational symmetry is proposed in terms of real quartic polynomials of 2n variables, modulo Sp(n) transformations. The 4d hypermultiplet LEEA for n = 2 can be encoded in terms of an elliptic curve.

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Section: Introductionsupporting

confidence: 65%

Section: Resultsmentioning

confidence: 99%

Section: N=2 Superspace and Nlsmmentioning

confidence: 99%

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KETOV¹

2000

Int. J. Mod. Phy. A

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“…(5.2), it is instructive to consider first a simpler case, by assuming the additional (translational) U(1) T symmetry that acts on the complex superfields (q + , * q + ) by phase rotations (with a constant parameter α), q + → e iα θ + , * q + → e −iα * q + , (5.5) but does not move the hyper-Kähler structure in the target space of the N=2 NLSM (3.19). It happens, e.g., in the N=2 supersymmetric QED with a single charged hypermultiplet, or in the Coulomb branch of the Seiberg-Witten model [30]. In geometrical terms, the U(1) T symmetry amounts to the existence of a tri-holomorphic (translational) isometry in the N=2 NLSM target space.…”

Section: Examplesmentioning

confidence: 99%

Anomalous superconformal Ward identities

Ketov

2000

Nuclear Physics B

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The N=2 superconformal Ward identities and their anomalies are discussed in N=2 superspace (including N=2 harmonic superspace), at the level of the low-energy effective action (LEEA) in four-dimensional N=2 supersymmetric field theories. The (first) chiral N=2 supergravity compensator is related to the known N=2 anomalous Ward identity in the N=2 (abelian) vector mulitplet sector. As regards the hypermultiplet LEEA given by the N=2 non-linear sigma-model (NLSM), a new anomalous N=2 superconformal Ward identity is found, whose existence is related to the (second) analytic compensator in N=2 supergravity. The celebrated solution of Seiberg and Witten is known to obey the (first) anomalous Ward identity in the Coulomb branch. We find a few solutions to the new anomalous Ward identity, after making certain assumptions about unbroken internal symmetries. Amongst the N=2 NLSM target space metrics governing the hypermultiplet LEEA are the SU(2)-Yang-Mills-Higgs monopole moduli-space metrics that can be encoded in terms of the spectral curves (Riemann surfaces), similarly to the Seiberg-Witten-type solutions. After a dimensional reduction to three spacetime dimensions (3d), our results support the mirror symmetry between the Coulomb and Higgs branches in 3d, N=4 gauge theories.

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“…2 See [22] for earlier attempts to construct an N = 2 supersymmetric version of the Born-Infeld action.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear self-duality and supergravity

Kuzenko¹,

McCarthy²

2003

J. High Energy Phys.

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The concept of self-dual supersymmetric nonlinear electrodynamics is generalized to a curved superspace of N = 1 supergravity, for both the old minimal and the new minimal versions of N = 1 supergravity. We derive the self-duality equation, which has to be satisfied by the action functional of any U(1) duality invariant model of a massless vector multiplet, and construct a family of self-dual nonlinear models. This family includes a curved superspace extension of the N = 1 super Born-Infeld action. The supercurrent and supertrace in such models are proved to be duality invariant. The most interesting and unexpected result is that the requirement of nonlinear self-duality yields nontrivial couplings of the vector multiplet to Kähler sigma models. We explicitly derive the couplings to general Kähler sigma models in the case when the matter chiral multiplets are inert under the duality rotations, and more specifically to the dilaton-axion chiral multiplet when the group of duality rotations is enhanced to SL(2, R).

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Cited by 10 publications

References 90 publications

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Anomalous superconformal Ward identities

Nonlinear self-duality and supergravity

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