Dmitri P. Sorokin

Covariant Action for the Super-Five-Brane of M Theory

We propose a complete, d=6 covariant and kappa-symmetric, action for the M theory five-brane propagating in D=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. {copyright} {ital 1997} {ital The American Physical Society}

Covariant action for a D = 11 five-brane with the chiral field

Abstract We propose a complete Born-Infeld-like action for a bosonic 5-brane with a 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 symmetries of the five-brane require the addition to the action of an appropriate Wess-Zumino term. To preseve 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.

From the superparticle Siegel symmetry to the spinning particle proper-time supersymmetry

Abstract The classical equivalence between the lagrangians of the N=1, D=10 massless superparticle and spinning particle is established. This is done by fixing the gauge of seven independent Siegel transformations, identifying the remaining Lorentz-covariant Siegel generator with that of n=1 local proper-time supersymmetry of the spin 1 2 particle and redefining the superparticle fermionic degrees of freedom by means of a generalized twistor-like approach.

On the Equivalence of Different Formulations of the M Theory Five-Brane

Abstract We show 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 worldvolume component level.

M-theory superalgebra from the M-5-brane

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 κ-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.

Duality-symmetric eleven-dimensional supergravity and its coupling to M-branes

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 M5-brane. From this duality-symmetric formulation, one derives an action describing coupling of the M-branes to standard D = 11 supergravity.

Covariant actions for the bosonic sector of IIB supergravity

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.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.

On the relationship between compactified vacua of d = 11 and d = 10 supergravities

Abstract It is shown that the Freund-Rubin vacuum configurations of d = 11 supergravity can be identified with corresponding vacua of non-chiral N = 2, d = 10 supergravity by considering the compact subspaces M 7 of the d = 11 theory as fibre bundles P(M 6 ,S 1 ) with the base spaces M 6 , being the solutions of the N = 2, d = 10 equations of motion. But in spite of this correspondence between vacuum configurations of the two theories,in N = 2, d = 10 supergravity only backgrounds with M 6 =T 6 , SU(4)/U(3), K 3 × T 2 , S p (2)/(S p (1)×U(1)), SU(3)/(U(1)×U′(1)) admit supersymmetry convervation in the effective d = 4 theory with only N = 8,6,4,1 supersymmetries being conserved.

Generalized action principle and superfield equations of motion for D = 10 Dp-branes

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 κ-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 κ-symmetry of these models. The case of a Dirichlet super 3-brane is considered in detail.

Superbrane actions and geometrical approach

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.