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We exhibit a simple class of exactly marginal "double-trace" deformations of two dimensional CFTs which have AdS_3 duals, in which the deformation is given by a product of left and right-moving U(1) currents. In this special case the…

High Energy Physics - Theory · Physics 2009-09-29 Ofer Aharony , Micha Berkooz , Eva Silverstein

We consider the superspace of D=3, N=5 supersymmetry using SO(5)/U(2) harmonic coordinates. Three analytic N=5 gauge superfields depend on three vector and six harmonic bosonic coordinates and also on six Grassmann coordinates.…

High Energy Physics - Theory · Physics 2008-12-25 B. M. Zupnik

String theories with (N,N') local world-sheet supersymmetries are related to each other by marginal deformations. This connects N=1 and N=0 theories in which the target-spaces are interpreted as space-times, N=2 theories in which the target…

High Energy Physics - Theory · Physics 2016-09-06 Laurent Baulieu , Michael B. Green , Eliezer Rabinovici

This paper is concerned with the quantum theory of noncommutative scalar fields in two dimensional space time. It is shown that the noncommutativity originates from the the deformation of symplectic structures. The quantization is performed…

Mathematical Physics · Physics 2008-11-26 M. Daoud , A. Hamama

Non-geometric string backgrounds were proposed to be related to a non-associative deformation of the space-time geometry. In the flux formulation of double field theory (DFT), the structure of mathematically possible non-associative…

High Energy Physics - Theory · Physics 2015-06-18 Ralph Blumenhagen , Michael Fuchs , Falk Hassler , Dieter Lust , Rui Sun

We explore $T \overline T$ deformations of Warped Conformal Field Theories (WCFTs) in two dimensions as examples of $T\overline T$ deformed non-relativistic quantum field theories. WCFTs are quantum field theories with a…

High Energy Physics - Theory · Physics 2023-09-21 Rahul Poddar

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 discuss the structure of 2D conformal field theories (CFT) at central charge c=0 describing critical disordered systems, polymers and percolation. We construct a novel extension of the c=0 Virasoro algebra, characterized by a number b…

Disordered Systems and Neural Networks · Physics 2015-06-25 V. Gurarie , A. W. W. Ludwig

The $T \bar T$ deformation of a 2 dimensional field theory living on a curved spacetime is equivalent to coupling the undeformed field theory to 2 dimensional `ghost-free' massive gravity. We derive the equivalence classically, and using a…

High Energy Physics - Theory · Physics 2020-07-15 Andrew J. Tolley

We study certain supersymmetry breaking deformations of linear dilaton backgrounds in different dimensions. In some cases, the deformed theory has bulk closed strings tachyons. In other cases there are no bulk tachyons, but there are…

High Energy Physics - Theory · Physics 2009-11-11 Nissan Itzhaki , David Kutasov , Nathan Seiberg

In the paper the nilpotent conditions of BRST operator for new superconformal string model were found. This string includes anticommutation $2-d$ fields additional to the standard Neveu-Schwarz superconformal set which carry quark quantum…

High Energy Physics - Theory · Physics 2007-05-23 V. A. Kudryavtsev

A deformation of the algebra of diffeomorphisms is constructed for canonically deformed spaces with constant deformation parameter theta. The algebraic relations remain the same, whereas the comultiplication rule (Leibniz rule) is different…

High Energy Physics - Theory · Physics 2007-05-23 Paolo Aschieri , Christian Blohmann , Marija Dimitrijevic , Frank Meyer , Peter Schupp , Julius Wess

For the most general off-shell N = 2 supersymmetric sigma model in projective superspace, we elaborate on its formulation in terms of N = 1 chiral superfields. A universal (model-independent) expression is obtained for the holomorphic…

High Energy Physics - Theory · Physics 2015-05-30 Sergei M. Kuzenko

We propose two alternative formulations for a three-dimensional non-anticommutative superspace in which some of the fermionic coordinates obey Clifford anticommutation relations. For this superspace, we construct the supersymmetry…

High Energy Physics - Theory · Physics 2015-06-26 A. F. Ferrari , M. Gomes , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

It is shown that the O(d,d;R) deformations of the superstring vacua and the O(d,d+16;R) deformations of the heterotic string vacua preserve extended worldsheet supersymmetry and, hence, generate superconformal deformations. The…

High Energy Physics - Theory · Physics 2009-10-28 S. F. Hassan

The main limitations of string field theory arise because its present formulation requires a background representing a classical solution, a background defined by a strictly conformally invariant theory. Here we sketch a construction for a…

High Energy Physics - Theory · Physics 2009-10-30 Barton Zwiebach

We investigate some aspects of Moyal-Weyl deformations of superspace and their compatibility with supersymmetry. For the simplest case, when only bosonic coordinates are deformed, we consider a four dimensional supersymmetric field theory…

High Energy Physics - Theory · Physics 2009-10-31 S. Ferrara , M. A. Lledó

We construct and discuss all background charges and continuous consistent deformations of standard $2d$ gravity theories with scalar matter fields. It turns out that the background charges and those deformations which change nontrivially…

High Energy Physics - Theory · Physics 2009-10-28 Friedemann Brandt , Walter Troost , Antoine Van Proeyen

We derive the off-shell nilpotent (anti-)BRST symmetry transformations by exploiting the (anti-)chiral superfield approach (ACSA) to Becchi-Rouet-Stora-Tyutin (BRST) formalism for the four (3+1)-dimensional (4D)…

High Energy Physics - Theory · Physics 2023-02-02 S. Kumar , B. Chauhan , A. Tripathi , R. P. Malik

It is outlined how deformations of field theoretical rigid symmetries can be constructed and classified by cohomological means in the extended antifield formalism. Special attention is devoted to deformations referring only to a subset of…

High Energy Physics - Theory · Physics 2015-06-26 Friedemann Brandt