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We propose a superfield method to construct off-shell actions for N-extended conformal supergravity theories in three space-time dimensions. It makes use of the superform technique to engineer supersymmetric invariants. The method is…

High Energy Physics - Theory · Physics 2017-12-13 Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

A field-enlarging transformation in the chiral electrodynamics is performed. This introduces an additional gauge symmetry to the model that is unitary and anomaly-free and allows for comparison of different models discussed in the…

High Energy Physics - Theory · Physics 2015-06-26 Jan Sladkowski

Motivated by the results in {\tt hep-th/0508228}, we perform a careful analysis of the allowed linear constraints on $N=(2,2)$ scalar superfields. We show that only chiral, twisted-chiral and semi-chiral superfields are possible. Various…

High Energy Physics - Theory · Physics 2008-11-26 Joris Maes , Alexander Sevrin

Following a recent proposal for integrable theories in higher dimensions based on zero curvature, new Lorentz invariant submodels of the principal chiral model in 2+1 dimensions are found. They have infinite local conserved currents, which…

High Energy Physics - Theory · Physics 2009-10-31 D. Gianzo , J. O. Madsen , J. Sanchez Guillen

We describe a new correspondence between four-dimensional conformal field theories with extended supersymmetry and two-dimensional chiral algebras. The meromorphic correlators of the chiral algebra compute correlators in a protected sector…

High Energy Physics - Theory · Physics 2015-09-30 Christopher Beem , Madalena Lemos , Pedro Liendo , Wolfger Peelaers , Leonardo Rastelli , Balt C. van Rees

We consider a general N=(2,2) non-linear sigma-model in (2,2) superspace. Depending on the details of the complex structures involved, an off-shell description can be given in terms of chiral, twisted chiral and semi-chiral superfields.…

High Energy Physics - Theory · Physics 2009-10-30 M. T. Grisaru , M. Massar , A. Sevrin , J. Troost

We present calculations of the leading and O(1/N) terms in a large-N expansion of the \beta-functions for various supersymmetric theories: a Wess-Zumino model, supersymmetric QED and a non-abelian supersymmetric gauge theory. In all cases N…

High Energy Physics - Phenomenology · Physics 2009-10-30 P. M. Ferreira , I. Jack , D. R. T. Jones

We introduce and study in detail the notion of compatibility between valuations and orderings in real hyperfields. We investigate their relation with valuations and orderings induced on factor and residue hyperfields. Much of the theory…

Commutative Algebra · Mathematics 2021-06-10 Katarzyna Kuhlmann , Alessandro Linzi , Hanna Stojałowska

We complete the N=1 superfield action for the generic system of vector multiplets and hypermultiplets coupled to 5D supergravity, which is based on the superconformal formulation. Especially we clarify the gravitational couplings to the…

High Energy Physics - Theory · Physics 2017-08-23 Yutaka Sakamura

N=1, d=4 superconformal group is studied and its representations are discussed. Under superconformal transformations, left invariant derivatives and some class of superfields, including supercurrents, are shown to follow these…

High Energy Physics - Theory · Physics 2016-09-06 Jeong-Hyuck Park

Geometrical meaning of superstring pictures is discussed in details. An off-shell generalization of the picture changing operation and its inverse are constructed. It is demonstrated that the generalised operations are inverse to each other…

High Energy Physics - Theory · Physics 2008-02-03 Alexander Belopolsky

In these lectures we discuss the supersymmetry algebra and its irreducible representations. We construct the theories of rigid supersymmetry and gave their superspace formulations. The perturbative quantum properties of the extended…

High Energy Physics - Theory · Physics 2007-05-23 P. C. West

We deform the standard four dimensional $\N=1$ superspace by making the odd coordinates $\theta$ not anticommuting, but satisfying a Clifford algebra. Consistency determines the other commutation relations of the coordinates. In particular,…

High Energy Physics - Theory · Physics 2009-11-10 Nathan Seiberg

We propose a manifestly supersymmetric generalization of the solvable $T \overline{T}$ deformation of two-dimensional field theories. For theories with $(1,1)$ and $(0,1)$ supersymmetry, the deformation is defined by adding a term to the…

High Energy Physics - Theory · Physics 2019-05-22 Chih-Kai Chang , Christian Ferko , Savdeep Sethi

We formulate a manifestly supersymmetric gauge covariant regularization of supersymmetric chiral gauge theories. In our scheme, the effective action in the superfield background field method above one-loop is always supersymmetric and gauge…

High Energy Physics - Theory · Physics 2009-10-31 Takuya Hayashi , Yoshihisa Ohshima , Kiyoshi Okuyama , Hiroshi Suzuki

In the exceptional field theory, there are two natural parameterizations for the generalized metric; in terms of bosonic fields in the eleven-dimensional supergravity (M-theory parameterization) and the type IIB supergravity (type IIB…

High Energy Physics - Theory · Physics 2017-05-03 Yuho Sakatani , Shozo Uehara

In this note we extend the Pasti-Sorokin-Tonin formalism for chiral bosons in two dimensions to $N=(1,1)$ and $N=(2,2)$ superspace. In the latter case the formalism is developed for chiral, twisted chiral and semi-chiral superfields.

High Energy Physics - Theory · Physics 2015-06-16 Alexander Sevrin , Daniel C. Thompson

Chiral molecules may exist in superpositions of left- and right-handed states. We show how the amplitudes of such superpositions may be teleported to the polarization degrees of freedom of a photon and thus measured. Two experimental…

Quantum Physics · Physics 2016-09-08 Christopher S. Maierle , Daniel A. Lidar , Robert A. Harris

We investigate one-parameter family of transformation on superfields of super principal chiral model and obtain different zero-curvature representations of the model. The parametric transformation is related to the super Riccati equations…

High Energy Physics - Theory · Physics 2009-09-29 U. Saleem , M. Hassan

Representations of four dimensional superconformal groups are constructed as fields on many different superspaces, including super Minkowski space, chiral superspace, harmonic superspace and analytic superspace. Any unitary irreducible…

High Energy Physics - Theory · Physics 2009-11-07 P. J. Heslop