Showing papers by "Dmitri Sorokin published in 1997"
TL;DR: In this paper, the authors propose a complete, $d\phantom{\rule{0ex}{0ex}} = \phantom''rule {0ex}0ex''6$ covariant and kappa-symmetric, action for the $M$ theory five-brane propagating in a supergravity background, which can be used for studying corresponding dualities and nonperturbative aspects of these theories.
Abstract: We propose a complete, $d\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}6$ covariant and kappa-symmetric, action for the $M$ theory five-brane propagating in $D\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}11$ supergravity background. This opens a direct way of relating a wide class of super- $p$-brane solutions of string theory with the five-brane of $M$ theory, which should be useful for studying corresponding dualities and nonperturbative aspects of these theories.
501 citations
TL;DR: In this paper, the authors proposed a Born-Infeld-like action for a bosonic 5-brane with a world-volume chiral field in a background of a three-rank antisymmetric gauge field.
396 citations
TL;DR: In this paper, a Lorentz-covariant formulation of the chiral p-form model in D = 2(p+1) with infinitely many auxiliary fields is derived.
Abstract: We demonstrate how a Lorentz-covariant formulation of the chiral p-form model in D=2(p+1) containing infinitely many auxiliary fields is related to a Lorentz-covariant formulation with only one auxiliary scalar field entering a chiral p-form action in a nonpolynomial way. The latter can be regarded as a consistent Lorentz-covariant truncation of the former. We make the Hamiltonian analysis of the model based on the nonpolynomial action and show that the Dirac constraints have a simple form and are all first class. In contrast with the Siegel model the constraints are not the square of second-class constraints. The canonical Hamiltonian is quadratic and determines the energy of a single chiral p-form. In the case of D=2 chiral scalars the constraint can be improved by use of a {open_quotes}twisting{close_quotes} procedure (without the loss of the property to be first class) in such a way that the central charge of the quantum constraint algebra is zero. This points to the possible absence of an anomaly in an appropriate quantum version of the model. {copyright} {ital 1997} {ital The American Physical Society}
364 citations
274 citations
TL;DR: In this article, it was shown that the field equations for the supercoordinates and the self-dual antisymmetric tensor field derived from the recently constructed κ-invariant action for the M theory five-brane are equivalent to the equations of motion obtained in the doubly supersymmetric geometrical approach at the world volume component level.
136 citations
TL;DR: The algebra of Noether supercharges of the M-5-brane effective action is shown to include both 2-form and 5-form central charges in this article, and the full structure of central charges is directly related to the projector arising in the proof of κ-symmetry.
103 citations
TL;DR: In this paper, a single auxiliary scalar field in a formulation with an infinite series of auxiliary (anti-) self-dual 5-form fields is constructed for the bosonic fields of D = 10 IIB supergravity.
Abstract: Covariant actions for the bosonic fields of D = 10 IIB supergravity are constructed with the help of a single auxiliary scalar field in a formulation with an infinite series of auxiliary (anti-)self-dual 5-form fields.
100 citations
TL;DR: In this article, the authors proposed a Born-Infeld-like action for a bosonic 5-brane with the world-volume chiral field in a background of a three-rank antisymmetric gauge field.
Abstract: We propose a complete Born-Infeld-like action for a bosonic 5-brane with the worldvolume chiral field in a background of gravitational and antisymmetric gauge fields of D=11 supergravity. When the five-brane couples to a three-rank antisymmetric gauge field local worldvolume symmetries of the five-brane require the addition to the action of an appropriate Wess-Zumino term. To preserve general coordinate and Lorentz invariance of the model we introduce a single auxiliary scalar field. The auxiliary field can be eliminated by gauge fixing a corresponding local symmetry at the price of the loss of manifest d=6 worldvolume covariance. The double dimensional reduction of the five-brane model results in the Born-Infeld action with the Wess-Zumino term for a D=10 four-D-brane.
67 citations
TL;DR: In this article, the action for the D = 10 type II Dirichlet super p-branes is reconstructed in a more geometrical form involving Lorentz harmonic variables.
66 citations
TL;DR: In this article, the authors constructed invariant actions for the bosonic fields of D=10 IIB supergravity with the help of a single auxiliary scalar field and in a formulation with an infinite series of auxiliary (anti-self-dual) 5-form fields.
Abstract: Covariant actions for the bosonic fields of D=10 IIB supergravity are constructed with the help of a single auxiliary scalar field and in a formulation with an infinite series of auxiliary (anti)-self-dual 5-form fields.
65 citations
TL;DR: In this article, the action for the D=10 type II Dirichlet super-p-branes is reconstructed in a more geometrical form involving Lorentz harmonic variables.
Abstract: The action for the D=10 type II Dirichlet super-p-branes, which has been obtained recently, is reconstructed in a more geometrical form involving Lorentz harmonic variables. This new (Lorentz-harmonic) formulation possesses kappa-symmetry in an irreducible form and is used as a basis for applying a generalized action principle that provides the superfield equations of motion and clarifies the geometrical nature of the kappa-symmetry of these models. The case of a Dirichlet super-3-brane is considered in detail.
TL;DR: In this article, the authors studied the BRST-BFV-based path integral quantization of a twistor-like particle and showed that the number of new auxiliary Lorentz-covariant coordinates, which one introduces to get a system of first-class constraints in an extended phase space, exceeds the total number of independent second class constraints of the original dynamical system.
Abstract: We study some features of bosonic-particle path-integral quantization in a twistor-like approach by the use of the BRST–BFV-quantization prescription. In the course of the Hamiltonian analysis we observe links between various formulations of the twistor-like particle by performing a conversion of the Hamiltonian constraints of one formulation to another. A particular feature of the conversion procedure applied to turn the second-class constraints into first-class constraints is that the simplest Lorentz-covariant way to do this is to convert a full mixed set of the initial first- and second-class constraints rather than explicitly extracting and converting only the second-class constraints. Another novel feature of the conversion procedure applied below is that in the case of the D = 4 and D = 6 twistor-like particle the number of new auxiliary Lorentz-covariant coordinates, which one introduces to get a system of first-class constraints in an extended phase space, exceeds the number of independent second-class constraints of the original dynamical system. We calculate the twistor-like particle propagator in D = 3,4,6 space–time dimensions and show that it coincides with that of a conventional massless bosonic particle.
TL;DR: The algebra of Noether supercharges of the M-5-brane effective action is shown to include both 2-form and 5-form central charges in this article, which is due to the Wess-Zumino term.
Abstract: The algebra of Noether supercharges of the M-5-brane effective action is shown to include both 2-form and 5-form central charges. Surprisingly, only the 5-form charge is entirely due to the Wess-Zumino term because the `naive' algebra is the M-2-brane supertranslation algebra. The full structure of central charges is shown to be directly related to the projector arising in the proof of $\kappa$-symmetry of the M-5-brane action. It is also shown to allow `mixed' M-brane configurations preserving 1/2 supersymmetry that include the (non-marginal) M-2-brane/M-5-brane `bound state' as a special case.
TL;DR: In this paper, it was shown that the field equations for the supercoordinates and the self-dual antisymmetric tensor field derived from the recently constructed kappa-invariant action for the M theory five-brane are equivalent to the equations of motion obtained in the doubly supersymmetric geometrical approach at the worldvolume component level.
Abstract: We show that the field equations for the supercoordinates and the self--dual antisymmetric tensor field derived from the recently constructed kappa-invariant action for the M theory five-brane are equivalent to the equations of motion obtained in the doubly supersymmetric geometrical approach at the worldvolume component level.
TL;DR: In this article, doubly supersymmetric actions in terms of n=2(D-2) worldline superfields for N=2 superparticles in D=3,4 and Type IIA D=6 superspaces are presented.
Abstract: We propose doubly supersymmetric actions in terms of n=2(D-2) worldline superfields for N=2 superparticles in D=3,4 and Type IIA D=6 superspaces. These actions are obtained by dimensional reduction of superfield actions for N=1 superparticles in D=4,6 and 10, respectively. We show that in all these models geometrodynamical constraints on target superspace coordinates do not put the theory on the mass shell, so the actions constructed consistently describe the dynamics of the corresponding N=2 superparticles. We also find that in contrast to the IIA D=6 superparticle a chiral IIB D=6 superparticle, which is not obtainable by dimensional reduction from N=1, D=10, is described by superfield constraints which produce dynamical equations. This implies that for the IIB D=6 superparticle the doubly supersymmetric action does not exist in the conventional form.
TL;DR: In this article, a covariant eleven-dimensional supergravity action based on a three-form and six-form gauge field was constructed in a duality-symmetric manner.
Abstract: The standard eleven-dimensional supergravity action depends on a three-form gauge field and does not allow direct coupling to five-branes. Using previously developed methods, we construct a covariant eleven-dimensional supergravity action depending on a three-form and six-form gauge field in a duality-symmetric manner. This action is coupled to both the M-theory two-brane and five-brane, and corresponding equations of motion are obtained. Consistent coupling relates D=11 duality properties with self-duality properties of the M-5-brane. From this duality-symmetric formulation, one can derive an action describing coupling of the M-branes to standard D=11 supergravity.
TL;DR: In this paper, a generalized action construction with a doubly supersymmetric geometrical approach to the description of super-p-brane dynamics as embedding world supersurfaces into target superspaces is presented.
Abstract: We review a generic structure of conventional (Nambu-Goto and Dirac-Born-Infeld-like) worldvolume actions for the superbranes and show how it is connected through a generalized action construction with a doubly supersymmetric geometrical approach to the description of super-p-brane dynamics as embedding world supersurfaces into target superspaces.