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A short rewiev of covariant quantization methods based on BRST-antiBRST symmetry is given. In particular problems of correct definition of Sp(2) symmetric quantization scheme known as triplectic quantization are considered.

High Energy Physics - Theory · Physics 2007-05-23 B. Geyer , D. M. Gitman , P. M. Lavrov

The covariant and kappa-symmetric action for superstring in direct product of two flat D=10 N=1 superspaces is presented. It is given by the sum of supersymmetric generalization of two copies of chiral boson actions constructed with the use…

High Energy Physics - Theory · Physics 2015-11-04 Igor Bandos

By replacing two of the bosonic scalar superfields of the N=2 string with fermionic scalar superfields (which shifts $d_{critical}$ from (2,2) to (9,1)), a quadratic action for the ten-dimensional Green-Schwarz superstring is obtained.…

High Energy Physics - Theory · Physics 2007-05-23 Nathan Berkovits

We discuss a covariant functional integral approach to the quantization of the bosonic string. In contrast to approaches relying on non-covariant operator regularizations, interesting operators here are true tensor objects with classical…

High Energy Physics - Theory · Physics 2008-11-26 André van Tonder

We find a simpler formulation of the Green-Schwarz action, for which the Wess-Zumino term is the square of supersymmetric currents, like the rest of the action. On a random lattice it gives Feynman diagrams of a particle superfield theory.

High Energy Physics - Theory · Physics 2009-10-28 W. Siegel

A general covariant quantization of superparticle, Green-Schwarz superstring and a supermembrane with manifest supersymmetry and duality symmetry is proposed. This quantization provides a natural quantum mechanical description of curved…

High Energy Physics - Theory · Physics 2016-08-24 Renata Kallosh

We derive the low energy effective action of the heterotic superstring in superspace. This is achieved by coupling the covariantly quantized Green-Schwarz superstring of Berkovits to a curved background and requiring that the sigma model…

High Energy Physics - Theory · Physics 2015-06-26 Jan de Boer , Kostas Skenderis

This paper reviews the covariant formalism of N=1, D=10 classical superparticle models. It discusses the local invariances of a number of superparticle actions and highlights the problem of finding a covariant quantization scenario.…

High Energy Physics - Theory · Physics 2007-05-23 J. L. Vazquez-Bello

By defining the heterotic Green-Schwarz superstring action on an N=(2,0) super-worldsheet, rather than on an ordinary worldsheet, many problems with the interacting Green-Schwarz superstring formalism can be solved. In the light-cone…

High Energy Physics - Theory · Physics 2009-10-22 Nathan Berkovits

We developed a gauge-covariant formulation of the non-equilibrium Green function method for the dynamical and/or non-uniform electromagnetic field by means of the deformational quantization method. Such a formulation is realized by…

Statistical Mechanics · Physics 2015-06-25 N. Sugimoto , S. Onoda , N. Nagaosa

In the first sections of this paper we give an elementary but rigorous approach to the construction of the quantum Bosonic and supersymmetric string system continuing the analysis of Dimock. This includes the construction of the DDF…

High Energy Physics - Theory · Physics 2010-11-11 Dan-Radu Grigore

Classical physics is reformulated as a constrained Hamiltonian system in the history phase space. Dynamics, i.e. the Euler-Lagrange equations, play the role of first-class constraints. This allows us to apply standard methods from the…

High Energy Physics - Theory · Physics 2007-05-23 T. A. Larsson

We give a brief review of our approach to the quantization of superstrings. New is a covariant derivation of the measure at tree level and a path integral formula for this measure.

High Energy Physics - Theory · Physics 2017-08-23 P. A. Grassi , G. Policastro , P. van Nieuwenhuizen

We first find the linear approximation of the second plus fourth order derivative massive conformal gravity action. Then we reduce the linearized action to separated second order derivative terms, which allows us to quantize the theory by…

General Relativity and Quantum Cosmology · Physics 2016-04-08 F. F. Faria

The paper deals with the problem of describing fundamental particles. The Einstein-Rosen approach was revisited to explain que charge-mass ratio quantization. Such a result is obtained once a quantization prescription is applied to the…

General Relativity and Quantum Cosmology · Physics 2016-12-02 S. C. Ulhoa

We derive the complete covariant action for the type IIA superstring in a simple D=10 background which represents a 7-brane with a magnetic Ramond-Ramond vector field (and is U-dual to the Kaluza-Klein Melvin solution). This curved…

High Energy Physics - Theory · Physics 2009-10-31 J. Russo , A. A. Tseytlin

The superstring is quantized in a manner which manifestly preserves a U(5) subgroup of the (Wick-rotated) ten-dimensional super-Poincar\'e invariance. This description of the superstring contains critical N=2 worldsheet superconformal…

High Energy Physics - Theory · Physics 2009-10-31 Nathan Berkovits

The duality symmetric but not manifestly covariant action proposed by Schwarz-Sen is canonically quantized in the Coulomb gauge. The resulting theory turns out to be, nevertheless, relativistically invariant. It is shown, afterwards, that…

High Energy Physics - Theory · Physics 2009-10-31 H. O. Girotti

Recent results of BRST quantization on inner product spaces are reviewed. It is shown how relativistic particle models may be quantized with finite norms and that the relation between the operator method and the conventional path integral…

High Energy Physics - Theory · Physics 2007-05-23 Robert Marnelius

We revise the problem of the quantization of relativistic particle models (spinless and spinning), presenting a modified consistent canonical scheme. One of the main point of the modification is related to a principally new realization of…

High Energy Physics - Theory · Physics 2016-12-28 S. P. Gavrilov , D. M. Gitman