V.Ya. Linetsky
Lebedev Physical Institute
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Featured researches published by V.Ya. Linetsky.
Physics Letters B | 1989
E.S. Fradkin; V.Ya. Linetsky
Abstract Based on the infinite-dimensional algebra hsc ∞ (4) constructed by us, the cubic interaction in the conformal theory of higher-spin fields in four-dimensional space-time is obtained. The theory contains an infinite number of fields of all integer spins s >⩾2 and extends the conformal gravity.
Modern Physics Letters A | 1991
E.S. Fradkin; V.Ya. Linetsky
The irreducible Racah basis for SU(N+1|N) is introduced. An analytic continuation with respect to N leads to infinite-dimensional superalgebras su(v+1|v). The large-v limit su(∞+1|∞) is calculated. A higher spin Sugawara construction leading to generalizations of the Virasoro algebra with infinite tower of higher spin currents is proposed, and the related WZNW and Toda models as well as the possible applications in string theory are discussed.
Nuclear Physics | 1991
E.S. Fradkin; V.Ya. Linetsky
Based on the conformal higher-spin superalgebras shscχ(4 ∥ 1) constructed previously by us, superconformal higher-spin theory in four-dimensional space-time is constructed in the cubic order. The theory contains an infinite tower of SU(2,2 ∥ 1)-supermultiplets with all conformal higher-spin fields interacting among themselves and with conformal supergravity.
Modern Physics Letters A | 1989
E.S. Fradkin; V.Ya. Linetsky
We construct a superconformal theory of higher spin fields in a space-time of dimension D=2+1. The construction relies on the infinite-dimensional superalgebra shsc (N/3) with the superconformal algebra OSp(N/4) as a maximal finite-dimensional subalgebra. The invariant Chern-Simons action for the higher spin superconformal theory is an extension of the usual conformal supergravity action for particles with maximal spin two.
Annals of Physics | 1990
E.S. Fradkin; V.Ya. Linetsky
Abstract Infinite-dimensional conformal higher-spin superalgebras in four-dimensional space-time are constructed. The superalgebra of conformal supergravity is a maximal finite-dimensional subalgebra of our higher-spin conformal superalgebras.
Physics Letters B | 1992
E.S. Fradkin; V.Ya. Linetsky
Abstract A list of superconformal chiral operator product expansion algebras with quadratic nonlinearity in two dimensions is completed on the basis of the known classification of little conformal Lie superalgebras. In addition to the previously known cases and the in our previous paper constructed exceptional N=8 superalgebra associated with F(4), a novel exceptional N=7 superconformal algebra associated with G(3) is found, as well as a whole family of superalgebras containing affine su 2 ⊕ usp 2N . A classification scheme for quasisuperconformal algebras is also outlined.
Physics Letters B | 1992
E.S. Fradkin; V.Ya. Linetsky
Abstract Manifest expressions for the 3D string metric-dilaton backgrounds corresponding to the (anti-) de Sitter coset models introduced previously are obtained in the leading order approximation. They may be interpreted as non-static cosmological solutions in D =3 critical string theory. A generalization to D >3 space-time dimension is discussed.
Annals of Physics | 1990
E.S. Fradkin; V.Ya. Linetsky
Abstract We construct a superconformal theory of higher spin fields in a space-time of dimension D = 2 + 1. The construction relies on the infinite-dimensional superalgebra shsc(N | 3) with the superconformal algebra osp(N | 4) as a maximal finite-dimensional subalgebra. The invariant Chern-Simons action for the higher spin superconformal theory is an extension of the usual conformal supergravity action for particles with maximal spin two. The quantization was carried out and the generating functional of the Green functions was obtained.
Nuclear Physics | 1994
E.S. Fradkin; V.Ya. Linetsky
Abstract A gauge-invariant approach to geometric quantization is developed. It yields a complete quantum description for dynamical systems with non-trivial geometry and topology of the phase space. The method is a global version of the gauge-invariant approach to quantization of second-class constraints developed by Batalin, Fradkin and Fradkina (BFF). Physical quantum states and quantum observables are respectively described by covariantly constant sections of the Fock bundle and the bundle of hermitian operators over the phase space with a flat connection defined by the nilpotent BVF-BRST operator. Perturbative calculation of the first non-trivial quantum correction to the Poisson brackets leads to the Chevalley cocycle known in deformation quantization. Consistency conditions lead to a topological quantization condition with metaplectic anomaly.
Physics Letters B | 1992
E.S. Fradkin; V.Ya. Linetsky
Abstract A unified treatment of both superconformal and quasisuperconformal algebras with quadratic non-linearity is given. General formulas describing their structure are found by solving the Jacobi identities. A complete classification of quasisuperconformal and Z 2 × Z 2-graded algebras is obtained and in addition to the previously known cases five exceptional quasisuperconformal algebras and a series of Z 2 × Z 2-superconformal algebras containing affine sp 2⊕ osp (N|2M) are constructed.
