Two-dimensional (4, 0) supergravity in harmonic superspace. The action and the matter couplings

Lhallabi, T.; Saidi, El Hassan

doi:10.1016/0550-3213(90)90525-i

Cited by 9 publications

(7 citation statements)

References 37 publications

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“…This approach has been motivated by the harmonic superspace method used for the study of 4D N = 2 supersymmetric field theories [40,41,42,43]. We suspect that this method to be the natural framework to deal with the study of special hyperKahler d-geometry and the corresponding hyperKahler metrics building [46,47].…”

Section: B Implementing P-branesmentioning

confidence: 99%

supersymmetric black attractors in six and seven dimensions

Belhaj

Drissi²,

Saidi

et al. 2008

Nuclear Physics B

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Section: B Implementing P-branesmentioning

confidence: 99%

supersymmetric black attractors in six and seven dimensions

Belhaj

Drissi²,

Saidi

et al. 2008

Nuclear Physics B

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“…The introduction of the latter is in accordance with the analytic line integrals defined globally on super-Riemann surfaces as in the N = 2 case [ 6 ] . EaJEa-2EaE"E6-=o , and fp-is unconstrained [12]. cR.= and b are the ghost superfields for the right, left, and Uil) transformations.…”

Section: (4o) Super-beltrami Differentialsmentioning

confidence: 99%

“…In this paper we study the (4,O) superBeltrami parametrization by using the techniques of harmonic superspace. These latters have been used successfully in two-dimensional (4,4) and (4,O) supersymmetric [ l l ] and supergravity [12] theories. This is achieved by simplifying the S0(4)--SU(2)XSU (2) tensor calculus at the level of the Grassmann variables BPI-WS'(p=+) and projecting one of the SU(2)'s down to its CartanWeyl subgroup U(1) as follows:…”

Section: Introductionmentioning

confidence: 99%

(4,0) super-Beltrami parametrization and super-operator-product expansions

Lhallabi¹

1994

Phys. Rev. D

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The superconformal structure of the (4,O) supergeometry of two-dimensional harmonic superspace is characterized by the super-Beltrami differentials. The BRST algebra including super-Beltrami variables and matter superfields of arbitrary U(1) charges is constructed. The (4,O) locally supersymmetric matter action in the super-Beltrami parametrization is constructed and the super-stress-energy tensors are obtained. Furthermore, the (4,O) superconformal anomaly is given and the super-operator-product expansion of the (4,O) super-stress-energy tensor J ( Z ) is derived.

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“…To our knowledge, harmonic variables have been first introduced for solving the problem of a manifestly superspace formulation of 4D N = 2 extended Super Yang Mills [34] and 4D N = 2 supergravity theories [38]- [40]. This method has been extended as well to their reductions down to 2D N = 4 supersymmetric theories [54]- [58].…”

Section: Harmonic Variables and 4d N = 2 Supersymmetric Theoriesmentioning

confidence: 99%

Topological string in harmonic space and correlation functions in stringy cosmology

Saidi¹,

Sedra²

2006

Nuclear Physics B

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We develop the harmonic space method for conifold and use it to study local complex deformations of T * S 3 preserving manifestly SL (2, C) isometry. We derive the perturbative manifestly SL (2, C) invariant partition function Z top of topological string B model on locally deformed conifold. Generic n momentum and winding modes of 2D c = 1 non critical theory are described by highest υ (n,0) and lowest components υ (0,n) of SL (2, C) spin s = n 2 multiplets υ (n−k,k) , 0 ≤ k ≤ n and are shown to be naturally captured by harmonic monomials. Isodoublets (n = 1) describe uncoupled units of momentum and winding modes and are exactly realized as the SL (2, C) harmonic variables U + α and V − α . We also derive a dictionary giving the passage from Laurent (Fourier) analysis on T * S 1 (S 1 ) to the harmonic method on T * S 3 (S 3 ). The manifestly SU (2, C) covariant correlation functions of the S 3 quantum cosmology model of Gukov-Saraikin-Vafa are also studied. Keywords:harmonic analysis on conifold, topological string B model on T * S 3 , ground ring of 2D c = 1 string, Hartle-Hawking wave function and S 3 quantum cosmology. * h-saidi@fsr.ac.ma † sedra@ictp.it ± s,n . These vertex operators have conformal weights h, h = (1, 1) and are used in the study of infinitesimal deformations of above CFT 2 .

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Two-dimensional (4, 0) supergravity in harmonic superspace. The action and the matter couplings

Cited by 9 publications

References 37 publications

supersymmetric black attractors in six and seven dimensions

supersymmetric black attractors in six and seven dimensions

(4,0) super-Beltrami parametrization and super-operator-product expansions

Topological string in harmonic space and correlation functions in stringy cosmology

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