T-duality and world-sheet supersymmetry

Bakas, Ioannis; Sfetsos, Konstadinos

doi:10.1016/0370-2693(95)00290-2

Cited by 67 publications

(128 citation statements)

References 51 publications

(59 reference statements)

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“…In particular, this implies that well-known hyper-Kähler manifolds such as multi-Eguchi-Hanson and Taub-NUT have a dual which is a complex manifold with a product structure. The consequences of this duality transformation and the relation, if any, with the non-abelian T-duals of these models given in [18], certainly merit further study.…”

Section: Discussionmentioning

confidence: 96%

Properties of semi-chiral superfields

Bogaerts¹,

Sevrin²,

Loo³

et al. 1999

Nuclear Physics B

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Whenever the N = (2, 2) supersymmetry algebra of non-linear σ-models in two dimensions does not close off-shell, a holomorphic two-form can be defined. The only known superfields providing candidate auxiliary fields to achieve an off-shell formulation are semi-chiral fields. Such a semi-chiral description is only possible when the two-form is constant. Using an explicit example, hyperKähler manifolds, we show that this is not always the case. Finally, we give a concrete construction of semi-chiral potentials for a class of hyper-Kähler manifolds using the duality exchanging a pair consisting of a chiral and a twistedchiral superfield for one semi-chiral multiplet.

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Section: Discussionmentioning

confidence: 96%

Properties of semi-chiral superfields

Bogaerts¹,

Sevrin²,

Loo³

et al. 1999

Nuclear Physics B

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“…It follows from standard expansions of the elliptic integrals [16] that in this vicinity 18) which is the Taub-NUT configuration (2.11) with t = γ and m 2 = 1/4; in fact, as k → 1, one obtains the Taub-NUT metric with a negative mass parameter m = −1/2.…”

Section: So(3) Hyper-kahler 4-metricsmentioning

confidence: 92%

Toda Fields of SO(3) Hyper-Kahler Metrics and Free Field Realizations

Bakas

Sfetsos

1997

Int. J. Mod. Phys. A

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The Eguchi-Hanson, Taub-NUT and Atiyah-Hitchin metrics are the only complete non-singular SO(3)-invariant hyper-Kahler metrics in four dimensions. The presence of a rotational SO(2) isometry allows for their unified treatment based on solutions of the 3-dim continual Toda equation. We determine the Toda potential in each case and examine the free field realization of the corresponding solutions, using infinite power series expansions. The Atiyah-Hitchin metric exhibits some unusual features attributed to topological properties of the group of area preserving diffeomorphisms. The construction of a descending series of SO(2)-invariant 4-dim regular hyper-Kahler metrics remains an interesting question.

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“…Unlike the inherently non-perturbative S-duality and the dualities between apparently different string theories, T-duality [1] is rather well understood. Its interplay with supersymmetry served as a useful tool in discovering such phenomena, since in certain cases Abelian as well as non-Abelian T-duality are in conflict with supersymmetry from a field theoretical point of view [2,3] but in complete harmony in a string theoretical setting [4,3] (see also [5,6]). T-duality as a supersymmetry breaking-restoration mechanism has been discussed in [7] in connection also with revised versions of some key theorems in 2-dim σ-models with extended supersymmetry [8].…”

Section: Introductionmentioning

confidence: 99%