Скалярное Поле В Произвольной Размерности С Точки Зрения Калибровочной Теории Высших Спинов

Васильев, Михаил Андреевич; Vasiliev, M. A.; Шейнкман, О В

doi:10.4213/tmf607

Cited by 10 publications

(1 citation statement)

References 18 publications

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“…Кроме того, развернутые уравнения налагают дифференциальные уравнения на динамические поля, такие как уравнения Клейна-Гордона, Дирака и другие релятивистские уравнения. Анализ динамического содержания развернутых уравнений осуществляется с помощью техники σ − -когомологий, развитой в работе [25] (см. также [26]).…”

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Симметрии Токов Высших Спинов В Четырех Измерениях

Gelfond¹,

Васильев²,

Vasiliev³

2016

TMF

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Показано, что токовые взаимодействия безмассовых полей в четырех измерениях нарушают симметрию $\mathfrak{sp}(8)$ уравнений для свободных безмассовых полей произвольных спинов до конформной симметрии $\mathfrak{su}(2,2)$. Это нарушение находится в согласии с формой нелинейных уравнений для полей высших спинов.

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Симметрии Токов Высших Спинов В Четырех Измерениях

Gelfond¹,

Васильев²,

Vasiliev³

2016

TMF

Self Cite

View full text Add to dashboard Cite

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BRST detour quantization: Generating gauge theories from constraints

Cherney

Latini

Waldron

2010

Journal of Mathematical Physics

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We present the Becchi–Rouet–Stora–Tyutin (BRST) cohomologies of a class of constraint (super) Lie algebras as detour complexes. By interpreting the components of detour complexes as gauge invariances, Bianchi identities, and equations of motion, we obtain a large class of new gauge theories. The pivotal new machinery is a treatment of the ghost Hilbert space designed to manifest the detour structure. Along with general results, we give details for three of these theories which correspond to gauge invariant spinning particle models of totally symmetric, antisymmetric, and Kähler antisymmetric forms. In particular, we give details of our recent announcement of a (p,q)-form Kähler electromagnetism. We also discuss how our results generalize to other special geometries.

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Sp(8) invariant higher spin theory, twistors and geometric BRST formulation of unfolded field equations

Gelfond

Vasiliev

2009

J. High Energy Phys.

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We discuss twistor-like interpretation of the Sp(8) invariant formulation of 4d massless fields in ten dimensional Lagrangian Grassmannian Sp(8)/P which is the generalized space-time in this framework. The correspondence space C is SpH (8)/P H where SpH(8) is the semidirect product of Sp(8) with Heisenberg group H M and P H is some quasiparabolic subgroup of SpH(8). Spaces of functions on Sp(8)/P and SpH(8)/P H consist of Q P closed functions on Sp(8) and Q P H closed functions on SpH (8), where Q P and Q P H are canonical BRST operators of P and P H. The space of functions on the generalized twistor space T identifies with the SpH(8) Fock module. Although T cannot be realized as a homogeneous space, we find a nonstandard SpH(8) invariant BRST operator Q (Q 2 = 0) that gives rise to an appropriate class of functions via the condition Qf = 0 equivalent to the unfolded higher-spin equations. The proposed construction is manifestly Sp(8) invariant, globally defined and coordinate independent. Its Minkowski analogue gives a version of twistor theory with both types of chiral spinors treated on equal footing. The extensions to the higher rank case with several Heisenberg groups and to the complex case are considered. A relation with Riemann theta functions, that are Q-closed, is discussed.

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Скалярное Поле В Произвольной Размерности С Точки Зрения Калибровочной Теории Высших Спинов

Cited by 10 publications

References 18 publications

Симметрии Токов Высших Спинов В Четырех Измерениях

Симметрии Токов Высших Спинов В Четырех Измерениях

BRST detour quantization: Generating gauge theories from constraints

Sp(8) invariant higher spin theory, twistors and geometric BRST formulation of unfolded field equations

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