arXiv subjects

Nikita Misuna

Publications and source records attributed to Nikita Misuna.

7 recordsLinked to original sources

arXiv2026

Unfolded hypermultiplet in harmonic superspace

We construct an unfolded system that describes an on-shell free massless hypermultiplet and show that the standard harmonic superspace formulation of this model naturally arises from the "vielbeinization" of unfolded 1-forms associated to R-symmetry. Moreover, using this system as an example, we demonstrate the phenomenon of background universality of the unfolded dynamics approach: we systematically deduce formulations in harmonic, N=2, and N=1 superspaces, as well as the component formulation in Minkowski space, directly from this unfolded system. We also comment on a putative off-shell extension of the on-shell system we constructed, and show how the harmonic contribution is reflected in the universal unfolded fiber.

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arXiv2026

Self-dual classical higher-spin multicopy

We show that the self-dual classical double copy can be straightforwardly extended to the higher-spin case when formulated in terms of light-cone gauge prepotentials. This allows us to construct a higher-spin extension for any self-dual spacetime that admits a Kerr-Schild form. We also discuss the counterpart of this procedure at the level of Weyl tensors. We find that, depending on the class of the original gravitational background, higher-spin Weyl tensors may follow various multicopy patterns.

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arXiv2025

Unfolded Formulation of 4d Yang-Mills Theory

In this note, we present a novel formulation of 4d pure Yang-Mills theory within the unfolded framework of Vasiliev higher-spin gravity. This formulation is first-order and exhibits manifest diffeomorphism and gauge invariance. Our approach builds upon a recently proposed unfolding method, previously applied to scalar electrodynamics. Additionally, we discuss the features of various unfolding maps defined by the unfolded equations.

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arXiv2024

Scalar Electrodynamics and Higgs Mechanism in the Unfolded Dynamics Approach

We put forward a novel method of constructing unfolded formulations of field theories, which is based on initial fixation of the form of an unfolded field and subsequent looking for the corresponding unfolded equation as an identity that this field satisfies. Making use of this method, we find an unfolded formulation for 4d scalar electrodynamics. By considering a symmetry-breaking scalar potential, we study the implementation of the Higgs mechanism within the framework of the unfolded dynamics approach. We explore a deformation of unfolded modules in the symmetry-broken phase and identify a non-invertible unfolded-field redefinition that diagonalizes the higgsed system.

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arXiv2023

Unfolded Dynamics Approach and Quantum Field Theory

We study quantization of a self-interacting scalar field within the unfolded dynamics approach. To this end we find and analyze a classical unfolded system describing 4d off-shell scalar field with a general self-interaction potential. Then we systematically construct three different but related unfolded formulations of the corresponding quantum field theory, supporting them with illustrative calculations: an unfolded functional Schwinger-Dyson system, an unfolded system for correlation functions and an unfolded effective system for vertex functions. The most curious feature we reveal is that an unfolded quantum commutator gets naturally regularized: a standard delta-function is replaced with a heat kernel, parameterized by the unfolded proper time. We also identify an auxiliary 5d system, having this proper time as a physical time, which generates 4d scalar action as its on-shell action.

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arXiv2019

On unfolded off-shell formulation for higher-spin theory

We present an unfolded off-shell formulation for free massless higher-spin fields in 4d Minkowski space in terms of spinorial variables. This system arises from the on-shell one by the addition of external higher-spin currents, for which we find an unfolded description. Also we show that this off-shell system can be interpreted as Schwinger-Dyson equations and restore two-point functions of higher-spin fields this way.

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arXiv2018

On current contribution to Fronsdal equations

We explore a local form of second-order Vasiliev equations proposed in [arXiv:1706.03718] and obtain an explicit expression for quadratic corrections to bosonic Fronsdal equations, generated by gauge-invariant higher-spin currents. Our analysis is performed for general phase factor, and for the case of parity-invariant theory we find the agreement with expressions for cubic vertices available in the literature. This provides an additional indication that field redefinition proposed in [arXiv:1706.03718] is the proper one.

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