Superfield realization of hidden R -symmetry in extended supersymmetric gauge...
AbstractWe present the explicit superfield realizations of the hidden SU(4) and O(5) R-symmetries in 4D,\( \mathcal{N} \) = 4 and 5D,\( \mathcal{N} \) = 2 supersymmetric Yang-Mills theories in the...
View ArticleHidden Supersymmetry as a Key to Constructing Low-Energy Superfield Effective...
AbstractIn this review paper, we outline and exemplify the general method of constructing the superfield low-energy quantum effective action of supersymmetric Yang-Mills (SYM) theories with extended...
View ArticleMassless Infinite Spin (Super)particles and Fields
AbstractA new twistor field formulation of a model of a massless infinite spin particle is proposed. A twistor infinite spin field is found, and its helicity decomposition is obtained. Twistorial...
View ArticleSupergraph calculation of one-loop divergences in higher-derivative 6 D SYM...
AbstractWe apply the harmonic superspace approach for calculating the divergent part of the one-loop effective action of renormalizable 6D, \( \mathcal{N} \) = (1, 0) supersymmetric higher-derivative...
View ArticleMassless Infinite Spin Representations
AbstractA new twistorial formulation of a massless particle with infinite spin is presented. The twistor field of infinite spin is found; the twistor field transformation for obtaining the space-time...
View ArticleInfinite Spin Particles and Superparticles
AbstractWe give a new twistorial field formulation of a massless infinite spin particle. We quantize the world-line infinite spin particle model and construct a twistorial infinite spin field. The...
View ArticleNew bi-harmonic superspace formulation of 4 D , N $$ \mathcal{N} $$ = 4 SYM...
AbstractWe develop a novel bi-harmonic \( \mathcal{N} \) = 4 superspace formulation of the \( \mathcal{N} \) = 4 supersymmetric Yang-Mills theory (SYM) in four dimensions. In this approach, the \(...
View ArticleOn a gauge-invariant deformation of a classical gauge-invariant theory
AbstractWe consider a general gauge theory with independent generators and study the problem of gauge-invariant deformation of initial gauge-invariant classical action. The problem is formulated in...
View ArticleSuperspace first order formalism, trivial symmetries and electromagnetic...
AbstractWe introduce a first order description of linearized non-minimal (n = −1) supergravity in superspace, using the unconstrained prepotential superfield instead of the conventionally constrained...
View ArticleOn classical and quantum deformations of gauge theories
AbstractWe elaborate the generalizations of the approach to gauge-invariant deformations of the gauge theories developed in our previous work (Buchbinder and Lavrov in JHEP 06:097, 2021). In the given...
View ArticleMassless Representations of the ISO(1,5) Group
AbstractMassless irreducible representations of the Poincaré group in the six-dimensional Minkowski space are studied. The Casimir operators of the corresponding Poincaré algebra are obtained and their...
View ArticleOn a structure of the one-loop divergences in 4D harmonic superspace sigma-model
AbstractWe study the quantum structure of four-dimensional \({{\mathcal {N}}}=2\) superfield sigma-model formulated in harmonic superspace in terms of the omega-hypermultiplet superfield \(\omega \)....
View ArticleLight-front description of infinite spin fields in six-dimensional Minkowski...
AbstractWe present a new 6D infinite spin field theory in the light-front formulation. The Lorentz-covariant counterparts of these fields depend on 6-vector coordinates and additional spinor variables....
View ArticleCubic interactions of d4 irreducible massless higher spin fields within BRST...
AbstractWe develop an approach to constructing the manifestly Lorentz covariant cubic interaction vertices for the four-dimensional massless higher spin bosonic fields with two-component dotted and...
View ArticleOn Two-Loop Divergences in 6D, $$\mathcal{N} = (1,1)$$ Supergauge Theory
AbstractAn approach is developed for calculating the two-loop divergences of effective action in the six-dimensional \(\mathcal{N} = (1,1)\) supersymmetric Yang–Mills model formulated in \(6D,{\kern...
View ArticleOn two-loop divergences of effective action in 6D, $$ \mathcal{N} $$ = (1, 1)...
AbstractWe study the off-shell structure of the two-loop effective action in 6D,\( \mathcal{N} \) = (1, 1) supersymmetric gauge theories formulated in \( \mathcal{N} \) = (1, 0) harmonic superspace....
View ArticleGeneralized canonical approach to deformation problem in gauge theories
AbstractWe develop a general approach to constructing a deformation that describes the mapping of any dynamical system with irreducible first-class constraints in the phase space into another dynamical...
View ArticleGeneralization of the Bargmann–Wigner construction for infinite-spin fields
Abstract We generalize the Wigner scheme for constructing the relativistic fields corresponding to irreducible representations of the four-dimensional Poincaré group with infinite spin. The fields are...
View ArticleGeneralized Wigner Operators and Relativistic Gauge Fields
AbstractWe introduce and study the generalized Wigner operator. By definition, such an operator transforms the Wigner wave function into a local relativistic field corresponding to an irreducible...
View ArticleConsistent Lagrangians for Irreducible Interacting Higher-Spin Fields with...
AbstractWe study the aspects of constructing the interactions for the higher spin fields in the framework of BRST approach. The main object of such an approach is BRST operator acting in the...
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