161 research outputs found
Current Density Distributions and a Supersymmetric Action for Interacting Brane Systems
We propose a method to obtain a manifestly supersymmetric action functional
for interacting brane systems. It is based on the induced map of the
worldvolume of low-dimensional branes into the worldvolume of the space-time
filling brane ((D-1)-brane), which may be either dynamical or auxiliary, and
implies an identification of Grassmann coordinate fields of lower dimensional
branes with an image of the Grassmann coordinate fields of that (D-1)-brane.
With this identification the covariant current distribution forms with support
on the superbrane worldvolumes become invariant under the target space
supersymmetry and can be used to write the coupled superbrane action as an
integral over the D-dimensional manifolds ((D-1)-brane worldvolume). We compare
the equations derived from this new ('Goldstone fermion embedded') action with
the ones produced by a more straightforward generalization of the free brane
actions based on the incorporation of the boundary terms with Lagrange
multipliers ('superspace embedded' action). We find that both procedures
produce the same equations of motion and thus justify each other. Both actions
are presented explicitly for the coupled system of a D=10 super-D3-brane and a
fundamental superstring which ends on the super-D3-brane.Comment: 14 pages, latex, no figure
Superstring in doubled superspace
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 of the Pasti-Sorokin-Tonin (PST) technique. The chirality of 8
`left' bosons and 8 `left' fermions and the anti-chirality of their `right'
counterparts are obtained as gauge fixed version of the equations of motion, so
that the physical degrees of freedom are essentially those of the II
Green-Schwarz superstring. Our action is manifestly T-duality invariant as the
fields describing oscillating and winding modes enter it on equal footing.Comment: 4+1 pages. V2: Misprints corrected, references adde
Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories
Recently proposed exceptional field theories (EFTs) making manifest the
duality symmetry, first observed as nonlinearly realized symmetries
of the maximal supergravity () and containing 11D and
type IIB supergravity as sectors, were formulated in enlarged spacetimes. In
the case of EFT such an enlarged spacetime can be identified with
the bosonic body of the central charge superspace , the
superspace completed by 56 additional bosonic coordinates
associated to central charges of the maximal supersymmetry algebra.
In this paper we show how the hypothesis on the relation of all the known
EFTs, including , with supersymmetry leads to the conjecture on
existence of 11D exceptional field theory living in 11D tensorial central
charge superspace and underlying all the EFTs
with , and probably the double field theory (DFT). We conjecture the
possible form of the section conditions of such an 11D EFT and show that quite
generic solutions of these can be generated by superparticle models the ground
states of which preserve from one half to all but one supersymmetry. The
properties of these superparticle models are briefly discussed. We argue that,
upon quantization, their quantum states should describe free massless
non-conformal higher spin fields in D=11.
We also discuss some relevant representations of the M-theory superalgebra
which, in the present context, describes supersymmetry of the 11D EFT.Comment: 33 pages. V2: references added. V3: 42 pages. Minor corrections. New
sections 3.3 and 5 added. Published in NP
On Lagrangian approach to self-dual gauge fields in spacetime of nontrivial topology
We study the Lagrangian description of chiral bosons, p-form gauge fields
with (anti-)self-dual gauge field strengths, in D=2p+2 dimensional spacetime of
nontrivial topology. We show that the manifestly Lorentz and diffeomorphism
invariant Pasti-Sorokin-Tonin (PST) approach is consistent and produces the
(anti-)self-duality equation also in topologically nontrivial spacetime. We
discuss in what circumstances the nontrivial topology makes difference between
two disconnected, `da-timelike' and `da-spacelike' branches of the PST system,
the gauge fixed version of which are described by not manifestly invariant
Henneaux-Teitelboim (HT) and Perry-Schwarz (PS) actions, respectively.Comment: 1+36 pages, JHEP class. V2: references added, misprints corrected, to
appear in JHE
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