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Covariant first and second quantization of the free d=4 massless superparticle are implemented with the introduction of purely gauge auxiliary spinor Lorentz harmonics. It is shown that the general solution of the condition of maslessness…

高能物理 - 理论 · 物理学 2019-09-25 S. Fedoruk , V. G. Zima

The classical Green-Schwarz superstring action, with N=1 or N=2 spacetime supersymmetry, exists for spacetime dimensions D=3,4,6,10, but quantization in the light-cone gauge breaks Lorentz invariance unless either D=10, which leads to…

高能物理 - 理论 · 物理学 2013-05-29 Luca Mezincescu , Paul K. Townsend

The $D=11$ pure spinor formulation of the superparticle allows a simple realization of covariant quantization, unlike the $D=11$ Brink-Schwarz-like superparticle. We explicitly show the equivalence between the cohomologies of these two…

高能物理 - 理论 · 物理学 2018-03-14 Max Guillen

We consider the covariant quantization of the D=11 massless superparticle (M0-brane) in the spinor moving frame or twistor-like Lorentz harmonics formulation. The action involves the set of 16 constrained 32 component Majorana spinors, the…

高能物理 - 理论 · 物理学 2008-11-26 Igor A. Bandos

The covariant quantization of massless D=11 superparticle (M0-brane) in its twistor-like Lorentz harmonic formulation is used to clarify the origin and some properties of the Berkovits pure spinor approach to quantum superstring and to…

高能物理 - 理论 · 物理学 2008-02-20 Igor A. Bandos

In two recent papers, a new method was developed for calculating ten-dimensional superstring amplitudes with an arbitrary number of loops and external massless particles, and for expressing them in manifestly Lorentz-invariant form. By…

高能物理 - 理论 · 物理学 2009-10-22 Nathan Berkovits

We consider a covariant quantization of the D=11 massless superparticle in the supertwistor framework. D=11 supertwistors are highly constrained, but the interpretation of their bosonic components as Lorentz harmonic variables and their…

高能物理 - 理论 · 物理学 2007-05-23 Igor A. Bandos , Jose A. de Azcarraga , Dmtri P. Sorokin

We reconsider the issue of the existence of a complex structure in the Gupta-Bleuler quantization scheme. We prove an existence theorem for the complex structure associated with the $d=10$ Casalbuoni-Brink-Schwarz superparticle, based on an…

高能物理 - 理论 · 物理学 2009-10-31 S. Bellucci , A. Galajinsky

A formulation of $D\is 10$ superparticle dynamics is given that contain space-time and twistor variables. The set of constraints is entirely first class, and gauge conditions may be imposed that reduces the system to a…

高能物理 - 理论 · 物理学 2015-06-26 Martin Cederwall

The general procedure of constructing a consistent covariant Dirac-type bracket for models with mixed first and second class constraints is presented. The proposed scheme essentially relies upon explicit separation of the initial…

高能物理 - 理论 · 物理学 2011-07-19 A. A. Deriglazov , A. V. Galajinsky , S. L. Lyakhovich

We apply the supplementation trick [26] to the Green-Schwarz superstring. For type IIB theory both first and second class constraints are covariantly separated and then arranged into irreducible sets in the initial formulation. For N=1…

高能物理 - 理论 · 物理学 2009-11-07 A. A. Deriglazov

Lorentz symmetry breaking at very high energies may lead to photon dispersion relations of the form omega^2=k^2+xi_n k^2(k/M_Pl)^n with new terms suppressed by a power n of the Planck mass M_Pl. We show that first and second order terms of…

天体物理学 · 物理学 2008-11-26 Matteo Galaverni , Guenter Sigl

$D$-brane boundary states for type II superstrings are constructed by enforcing the conditions that preserve half of the space-time supersymmetry. A light-cone coordinate frame is used where time is identified as one of the coordinates…

高能物理 - 理论 · 物理学 2009-10-30 Michael B. Green , Michael Gutperle

We describe a canonical covariant formulation of the Green-Schwarz Superstring which allows the construction of a new covariant action canonically equivalent to the Green-Schwarz action but subjected only to first class constraints. From…

高能物理 - 理论 · 物理学 2009-10-28 Alvaro Restuccia , Jorge Stephany

We describe covariant derivatives with respect to the coordinates of the full superPoincar\'e group and dual coordinates, for Yang-Mills and supergravity. The derivatives have engineering dimension running from 0 to 2. Prepotentials appear…

高能物理 - 理论 · 物理学 2011-06-09 Warren Siegel

The ten-dimensional superparticle is covariantly quantized by constructing a BRST operator from the fermionic Green-Schwarz constraints and a bosonic pure spinor variable. This same method was recently used for covariantly quantizing the…

高能物理 - 理论 · 物理学 2010-02-03 Nathan Berkovits

We propose a new formulation of the $D=10$ Brink-Schwarz superparticle which is manifestly invariant under both the target-space super-Poincar\'e group and the world-line local $N=8$ superconformal group. This twistor-like construction…

高能物理 - 理论 · 物理学 2009-10-22 A. Galperin , E. Sokatchev

We construct superstring theories that obey the new supersymmetry algebra {Q_a , Q_b}=\gamma_{ab}^{mn} P_{1m} P_{2n}, in a Green-Schwarz formalism, with kappa supersymmetry also of the new type. The superstring is in a system with a…

高能物理 - 理论 · 物理学 2016-08-25 Itzhak Bars , Cemsinan Deliduman

We analyze the anti-de Sitter (AdS) superparticle and superstring systems described in terms of supermatrix valued coordinates proposed by Roiban and Siegel. This approach gives simple symmetry transformations and equations of motion. We…

高能物理 - 理论 · 物理学 2009-11-07 Machiko Hatsuda , Kiyoshi Kamimura

We solve the non-minimal case of string corrected D=10, N=1 Supergravity as the low energy limit of string theory. We find a consistent set of solutions to the Bianchi identities in the H sector, and we also find the torsions and curvatures…

高能物理 - 理论 · 物理学 2007-05-23 D. O'Reilly
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