V. A. Krykhtin
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Previous Organizations / Institutes
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Research Interests
V. A. Krykhtin has a total of 9 co-authors. Here are the top co-authors by number of shared publications:
- Ioseph Lvovich Buchbinder
Bogoliubov Laboratory of Theoretical Physics, JINR
16 shared publications - Alexey P. Isaev
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russia
5 shared publications - Sergey Fedoruk
Joint Institute for Nuclear Research
5 shared publications - Peter M. Lavrov
Tomsk State Pedagogical University
3 shared publications - Timofey V. Snegirev
Center of Theoretical Physics, Tomsk State Pedagogical University, Tomsk, Russia
2 shared publications - Dorin Weissman
Asia Pacific Center for Theoretical Physics
1 shared publication
Latest Publications
- Open Access
On BRST Lagrangian formulation of massless higher spin fields
The paper is dedicated to the blessed memory of Professor Vladislav Gavrilovich Bagrov, an outstanding Russian scientist in the area of theoretical and mathematical physics. He had a great influence on the formation of the scientific interests dozens of scientists in Tomsk and Russia as a whole. Two of the authors of this paper (I.L.B and V.A.K) are to one degree or another grateful to Professor V.G. Bagrov for comprehensive support in the initial period of their scientific career. Two other authors (S.A.F. and A.P.I.) are familiar with and use the work of scientists from the Tomsk School of Theoretical Physics, founded by Professor V.G. Bagrov. The paper is devoted to certain aspects of the higher-spin field theory, which were mainly initiated and continued during of I.L.B and V.A.K work in Tomsk. We demonstrate in details the simplicity and clearity of the Lagrangian formulation for free four-dimensional massless higher-spin fields within the universal BRST approach, while describing these fields in terms of two-component spin-tensors.
Open AccessOn BRST Lagrangian formulation of massless higher spin fields
The paper is dedicated to the blessed memory of Professor Vladislav Gavrilovich Bagrov, an outstanding Russian scientist in the area of theoretical and mathematical physics. He had a great influence on the formation of the scientific interests dozens of scientists in Tomsk and Russia as a whole. Two of the authors of this paper (I.L.B and V.A.K) are to one degree or another grateful to Professor V.G. Bagrov for comprehensive support in the initial period of their scientific career. Two other authors (S.A.F. and A.P.I.) are familiar with and use the work of scientists from the Tomsk School of Theoretical Physics, founded by Professor V.G. Bagrov. The paper is devoted to certain aspects of the higher-spin field theory, which were mainly initiated and continued during of I.L.B and V.A.K work in Tomsk. We demonstrate in details the simplicity and clearity of the Lagrangian formulation for free four-dimensional massless higher-spin fields within the universal BRST approach, while describing these fields in terms of two-component spin-tensors.
- 1 November 2024
- Published by Springer Nature in Russian Physics Journal
- Vol. 67 (11) , 1806-1818
ON BRST Lagrangian Formulation of Massless Higher Spin Fields
- 1 November 2024
- Published by Springer Nature in Russian Physics Journal
- Vol. 67 (11) , 1806-1818
ON BRST Lagrangian Formulation of Massless Higher Spin Fields
- 16 July 2024
- Published by Springer Nature in The European Physical Journal Plus
- Vol. 139 (7) , 1-11
BRST construction for infinite spin field on $AdS_4$- 16 July 2024
- Published by Springer Nature in The European Physical Journal Plus
- Vol. 139 (7) , 1-11
BRST construction for infinite spin field on $AdS_4$- Open AccessLagrangian formulation for free $6D$ infinite spin fieldWe construct a Lagrangian that describes the dynamics of a six-dimensional free infinite (continuous) spin field in $6D$ Minkowski space. The Lagrangian is formulated in the framework of the BRST approach to higher spin field theory and is based on a system of constraints defining an irreducible representation of the corresponding Poincaré group. The field realization of generators in the $6D$ Poincaré algebra and the second-, fourth-, and sixth-order Casimir operators are obtained in explicit form using additional spinor coordinates. Specific aspects of such a realization in six dimensions are discussed. We derive the conditions that determine the irreducible representation $6D$ infinite spin field and reformulate them as operators in the Fock space forming a first-class algebra in terms of commutators. These operators are used to construct the BRST charge and the corresponding Lagrangian. We prove that the conditions of the irreducible representation are reproduced as the consequence of the Lagrangian equations of motion, which finally provides the correctness of the results obtained.Open AccessLagrangian formulation for free $6D$ infinite spin fieldWe construct a Lagrangian that describes the dynamics of a six-dimensional free infinite (continuous) spin field in $6D$ Minkowski space. The Lagrangian is formulated in the framework of the BRST approach to higher spin field theory and is based on a system of constraints defining an irreducible representation of the corresponding Poincaré group. The field realization of generators in the $6D$ Poincaré algebra and the second-, fourth-, and sixth-order Casimir operators are obtained in explicit form using additional spinor coordinates. Specific aspects of such a realization in six dimensions are discussed. We derive the conditions that determine the irreducible representation $6D$ infinite spin field and reformulate them as operators in the Fock space forming a first-class algebra in terms of commutators. These operators are used to construct the BRST charge and the corresponding Lagrangian. We prove that the conditions of the irreducible representation are reproduced as the consequence of the Lagrangian equations of motion, which finally provides the correctness of the results obtained.
- Open Access
- 9 November 2022
- Published by Springer Nature in The European Physical Journal C
- Vol. 82 (11) , 1-7
Cubic interactions of d4 irreducible massless higher spin fields within BRST approach
We 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 undotted spinor indices. Such fields automatically satisfy the traceless conditions what simplify form of the equations determining the irreducible massless representation of the Poincaré group with given helicity. The cubic vertex is formulated in the framework of the BRST approach to higher spin field theory. Use of the above spin-tensor fields allows to simplify a form of the BRST-charge and hence to find the cubic vertices just in terms of irreducible higher spin fields. We derive an equation for the cubic vertex and find solutions for arbitrary spins $$s_1,s_2,s_3$$ with the number of derivatives $$s_1+s_2+s_3$$ in the vertex. As an example, we explicitly construct a vertex corresponding to the interaction of a higher spin field with scalars.- 9 November 2022
- Published by Springer Nature in The European Physical Journal C
- Vol. 82 (11) , 1-7
Open AccessCubic interactions of d4 irreducible massless higher spin fields within BRST approach
We 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 undotted spinor indices. Such fields automatically satisfy the traceless conditions what simplify form of the equations determining the irreducible massless representation of the Poincaré group with given helicity. The cubic vertex is formulated in the framework of the BRST approach to higher spin field theory. Use of the above spin-tensor fields allows to simplify a form of the BRST-charge and hence to find the cubic vertices just in terms of irreducible higher spin fields. We derive an equation for the cubic vertex and find solutions for arbitrary spins $$s_1,s_2,s_3$$ with the number of derivatives $$s_1+s_2+s_3$$ in the vertex. As an example, we explicitly construct a vertex corresponding to the interaction of a higher spin field with scalars. - Open Access
Cubic interactions of d4 irreducible massless higher spin fields within BRST approach
We 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 undotted spinor indices. Such fields automatically satisfy the traceless conditions what simplify form of the equations determining the irreducible massless representation of the Poincar'e group with given helicity. The cubic vertex is formulated in the framework of the BRST approach to higher spin field theory. Use of the above spin-tensor fields allows to simplify a form of the BRST-charge and hence to find the cubic vertices just in terms of irreducible higher spin fields. We derive an equation for the cubic vertex and find solutions for arbitrary spins $s_1,s_2,s_3$ with the number of derivatives $s_1+s_2+s_3$ in the vertex. As an example, we explicitly construct a vertex corresponding to the interaction of a higher spin field with scalars.Open AccessCubic interactions of d4 irreducible massless higher spin fields within BRST approach
We 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 undotted spinor indices. Such fields automatically satisfy the traceless conditions what simplify form of the equations determining the irreducible massless representation of the Poincar'e group with given helicity. The cubic vertex is formulated in the framework of the BRST approach to higher spin field theory. Use of the above spin-tensor fields allows to simplify a form of the BRST-charge and hence to find the cubic vertices just in terms of irreducible higher spin fields. We derive an equation for the cubic vertex and find solutions for arbitrary spins $s_1,s_2,s_3$ with the number of derivatives $s_1+s_2+s_3$ in the vertex. As an example, we explicitly construct a vertex corresponding to the interaction of a higher spin field with scalars. - Open Access
Supersymmetric Cubic Interactions For Lower Spins From "Higher Spin" Approach
We demonstrate how to reconstruct standard cubic vertices for N=1 supersymmetric Yang-Mills and Supergravities using various techniques adopted for the description of cubic interactions between higher spin fields.
Open AccessSupersymmetric Cubic Interactions For Lower Spins From "Higher Spin" Approach
We demonstrate how to reconstruct standard cubic vertices for N=1 supersymmetric Yang-Mills and Supergravities using various techniques adopted for the description of cubic interactions between higher spin fields.
- Open Access
Towards Lagrangian construction for infinite half-integer spin field
We formulate the conditions for the generalized fields in the space with additional commuting Weyl spinor coordinates which define the infinite half-integer spin representation of the four-dimensional Poincar\'e group. Using this formulation we develop the BRST approach and derive the Lagrangian for the half-integer infinite spin fields.
Open AccessTowards Lagrangian construction for infinite half-integer spin field
We formulate the conditions for the generalized fields in the space with additional commuting Weyl spinor coordinates which define the infinite half-integer spin representation of the four-dimensional Poincar\'e group. Using this formulation we develop the BRST approach and derive the Lagrangian for the half-integer infinite spin fields.
- 1 July 2018
- Published by Pleiades Publishing Ltd in Gravitation and Cosmology
- Vol. 24 (3) , 254-260
Massive Mixed Symmetry Field Dynamics in Open Bosonic String Theory
One of the ways to describe string interaction with background fields is the sigma-model approach. Since free string theory is Weyl-invariant, it is demanded that the interacting string theory be...
- 1 July 2018
- Published by Pleiades Publishing Ltd in Gravitation and Cosmology
- Vol. 24 (3) , 254-260
Massive Mixed Symmetry Field Dynamics in Open Bosonic String Theory
One of the ways to describe string interaction with background fields is the sigma-model approach. Since free string theory is Weyl-invariant, it is demanded that the interacting string theory be...
- Open Access
BRST approach to Lagrangian construction for bosonic continuous spin field
We formulate the conditions defining the irreducible continuous spin representation of the four-dimensional Poincar\'e group based on spin-tensor fields with dotted and undotted indices. Such a formulation simplifies analysis of the Bargmann-Wigner equations and reduces the number of equations from four to three. Using this formulation we develop the BRST approach and derive the covariant Lagrangian for the continuous spin fields.
Open AccessBRST approach to Lagrangian construction for bosonic continuous spin field
We formulate the conditions defining the irreducible continuous spin representation of the four-dimensional Poincar\'e group based on spin-tensor fields with dotted and undotted indices. Such a formulation simplifies analysis of the Bargmann-Wigner equations and reduces the number of equations from four to three. Using this formulation we develop the BRST approach and derive the covariant Lagrangian for the continuous spin fields.