Results 61 to 70 of about 11,293 (226)
Distributions and integration in superspace [PDF]
Journal of Mathematical Physics, 2018 Distributions in superspace constitute a very useful tool for establishing an integration theory. In particular, distributions have been used to obtain a suitable extension of the Cauchy formula to superspace and to define integration over the superball and the supersphere through the Heaviside and Dirac distributions, respectively.
Alí Guzmán Adán, Franciscus Sommen
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The sigma model on complex projective superspaces [PDF]
, 2009 The sigma model on projective superspaces $ \mathbb{C}{\mathbb{P}^{S - 1\left| S \right.}} $ gives rise to a continuous family of interacting 2D conformal field theories which are parametrized by the curvature radius R and the theta angle θ.
C. Candu +4 more
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, 2008 8 pages. Contribution to the seminar "Supersymmetries and Quantum Symmetries" in honour of Prof. V.I.
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N = 1 $$ \mathcal{N}=1 $$ Liouville SCFT in four dimensions
Journal of High Energy Physics, 2018 We construct a four supercharges Liouville superconformal field theory in four dimensions. The Liouville superfield is chiral and its lowest component is a log-correlated complex scalar whose real part carries a background charge.
Tom Levy, Yaron Oz, Avia Raviv-Moshe
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Superanalogs of the Calogero operators and Jack polynomials
, 2000 A depending on a complex parameter $k$ superanalog ${\mathcal S}{\mathcal L}$ of Calogero operator is constructed; it is related with the root system of the Lie superalgebra ${\mathfrak{gl}}(n|m)$.
Chalykh O +8 more
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Exploring curved superspace [PDF]
Journal of High Energy Physics, 2012 We systematically analyze Riemannian manifolds M that admit rigid supersymmetry, focusing on four-dimensional N=1 theories with a U(1)_R symmetry. We find that M admits a single supercharge, if and only if it is a Hermitian manifold. The supercharge transforms as a scalar on M.
Dumitrescu, Thomas T. +2 more
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Superstring in doubled superspace
Physics Letters B, 2015 The covariant and kappa-symmetric action for superstring in direct product of two flat D=10 N=1 superspaces is presented. It is given by the sum of supersymmetric generalization of two copies of chiral boson actions constructed with the use of the Pasti ...
Igor Bandos
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Symmetries of supergravity backgrounds and supersymmetric field theory
Journal of High Energy Physics, 2020 In four spacetime dimensions, all N $$ \mathcal{N} $$ = 1 supergravity-matter systems can be formulated in the so-called U(1) superspace proposed by Howe in 1981.
Sergei M. Kuzenko +1 more
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Superunitary Representations of Heisenberg Supergroups
, 2017 Numerous Lie supergroups do not admit superunitary representations except the trivial one, e.g., Heisenberg and orthosymplectic supergroups in mixed signature.
de Goursac, Axel, Michel, Jean-Philippe
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Nonlinear sigma models with AdS supersymmetry in three dimensions [PDF]
, 2012 In three-dimensional anti-de Sitter (AdS) space, there exist several realizations of N-extended supersymmetry, which are traditionally labelled by two non-negative integers p>=q such that p+q=N.
Butter, Daniel +2 more
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