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19942021
most citedOperator algebra of free conformal currents via twistors

67 citations

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hep-th2021★ 2 cited

Theory of holomorphic maps of two-dimensional complex manifolds to toric manifolds and type A multi-string theory

Olga Chekeres, Andrey S. Losev, Pavel Mnev +1

We study the field theory localizing to holomorphic maps from a complex manifold of complex dimension 2 to a toric target (a generalization of A model). Fields are realized as maps…

hep-th2021★ 19 cited

Manifest Form of the Spin-Local Higher-Spin Vertex

O. A. Gelfond, A. V. Korybut

Vasiliev generating system of higher-spin equations allowing to reconstruct nonlinear vertices of field equations for higher-spin gauge fields contains a free complex parameter …

hep-th2020★ 28 cited

Spin-Locality of and Quartic Higher-Spin Vertices

V. E. Didenko, O. A. Gelfond, A. V. Korybut +1

Higher-spin theory contains a complex coupling parameter . Different higher-spin vertices are associated with different powers of and its complex conjugate . Using $…

hep-th2019★ 31 cited

Spin-Locality of Higher-Spin Theories and Star-Product Functional Classes

O. A. Gelfond, M. A. Vasiliev

The analysis of spin-locality of higher-spin gauge theory is formulated in terms of star-product functional classes appropriate for the limiting shifted homotopy pro…

hep-th2019★ 41 cited

Limiting Shifted Homotopy in Higher-Spin Theory and Spin-Locality

V. E. Didenko, O. A. Gelfond, A. V. Korybut +1

Higher-spin vertices containing up to quintic interactions at the Lagrangian level are explicitly calculated in the one-form sector of the non-linear unfolded higher-spin equations…

hep-th2018★ 43 cited

Homotopy Properties and Lower-Order Vertices in Higher-Spin Equations

V. E. Didenko, O. A. Gelfond, A. V. Korybut +1

New homotopy approach to the analysis of nonlinear higher-spin equations is developed. It is shown to directly reproduce the previously obtained local vertices. Simplest cubic (qua…

hep-th2018★ 39 cited

Homotopy Operators and Locality Theorems in Higher-Spin Equations

O. A. Gelfond, M. A. Vasiliev

A new class of shifted homotopy operators in higher-spin gauge theory is introduced. A sufficient condition for locality of dynamical equations is formulated and Pfaffian Locality…

hep-th2017★ 31 cited

Current Interactions from the One-Form Sector of Nonlinear Higher-Spin Equations

O. A. Gelfond, M. A. Vasiliev

The form of higher-spin current interactions in the sector of one-forms is derived from the nonlinear higher-spin equations in . Quadratic corrections to higher-spin equatio…

hep-th2015★ 14 cited

Symmetries of higher-spin current interactions in four dimensions

O. A. Gelfond, M. A. Vasiliev

Current interaction of massless fields in four dimensions is shown to break sp (8) symmetry of free massless equations of all spins down to the conformal symmetry su (2,2). This br…

hep-th2014★ 2 cited

Conserved Higher-Spin Charges in

O. A. Gelfond, M. A. Vasiliev

Gauge invariant conserved conformal currents built from massless fields of all spins in 4d Minkowski space-time and are described within the unfolded dynamics approach. The…

hep-th2013★ 1 cited

Higher-Rank Fields and Currents

O. A. Gelfond, M. A. Vasiliev

invariant field equations in the space with symmetric matrix coordinates are classified. Analogous results are obtained for Minkowski-like subspaces of ${\cal…

hep-th2013★ 67 cited

Operator algebra of free conformal currents via twistors

O. A. Gelfond, M. A. Vasiliev

Operator algebra of (not necessarily free) higher-spin conformal conserved currents in generalized matrix spaces, that include 3d Minkowski space-time as a particular case, is show…

hep-th2010★ 10 cited

Unfolded Equations for Current Interactions of 4d Massless Fields as a Free System in Mixed Dimensions

O. A. Gelfond, M. A. Vasiliev

Interactions of massless fields of all spins in four dimensions with currents of any spin is shown to result from a solution of the linear problem that describes a gluing between r…

hep-th2010★ 14 cited

Unfolding versus BRST and currents in Sp(2M) invariant higher-spin theory

O. A. Gelfond, M. A. Vasiliev

The correspondence between BRST and unfolded formulations of field equations on group manifolds and homogeneous spaces is described. The previously introduced nonstandard BRST oper…

hep-th2009★ 21 cited

invariant higher spin theory, twistors and geometric BRST formulation of unfolded field equations

O. A. Gelfond, M. A. Vasiliev

We discuss twistor-like interpretation of the invariant formulation of 4d massless fields in ten dimensional Lagrangian Grassmannian which is the generalized spac…

hep-th2008★ 32 cited

Higher Spin Fields in Siegel Space, Currents and Theta Functions

O. A. Gelfond, M. A. Vasiliev

Dynamics of four-dimensional massless fields of all spins is formulated in the Siegel space of complex symmetric matrices. It is shown that the unfolded equations of fr…

hep-th1994★ 3 cited

The Advantage of a Multi-User Mode

Denis Juriev

The purpose of this very short note, which maybe considered as a comment on "hep-th/9401067", is to prove the following proposition. PROPOSITION. There exist certain models of Mobi…

hep-th1994★ 3 cited

Visualizing 2D Quantum Field Theory: Geometry and Informatics of Mobilevision

D. Juriev

This article is devoted to some interesting geometric and informatic interpretations of peculiarities of 2D quantum field theory, which become re- vealed after its visualization. C…

hep-th1994★ 3 cited

Octonions and Binocular Mobilevision

Denis Juriev

This paper is devoted to an interaction of 2 objects: the 1st of them is octonions, the classical structure of pure mathematics, the 2nd one is Mobilevision, the recently developpe…