139 research outputs found
Exactly solvable model of superstring in Ramond-Ramond plane wave background
We describe in detail the solution of type IIB superstring theory in the
maximally supersymmetric plane-wave background with constant null Ramond-Ramond
5-form field strength. The corresponding light-cone Green-Schwarz action found
in hep-th/0112044 is quadratic in both bosonic and fermionic coordinates. We
find the spectrum of the light-cone Hamiltonian and the string representation
of the supersymmetry algebra. The superstring Hamiltonian has a
``harmonic-oscillator'' form in both the string-oscillator and the zero-mode
parts and thus has discrete spectrum in all 8 transverse directions. We analyze
the structure of the zero-mode sector of the theory, establishing the precise
correspondence between the lowest-lying ``massless'' string states and the type
IIB supergravity fluctuation modes in the plane-wave background. The zero-mode
spectrum has certain similarity to the supergravity spectrum in AdS_5 x S^5 of
which the plane-wave background is a special limit. We also compare the
plane-wave string spectrum with expected form of the light-cone gauge spectrum
of superstring in AdS_5 x S^5.Comment: 33 pages, latex. v4: minor sign corrections in (1.5) and (3.62), to
appear in PR
Gauge invariant formulation of massive totally symmetric fermionic fields in (A)dS space
Massive arbitrary spin totally symmetric free fermionic fields propagating in
d-dimensional (Anti)-de Sitter space-time are investigated. Gauge invariant
action and the corresponding gauge transformations for such fields are
proposed. The results are formulated in terms of various mass parameters used
in the literature as well as the lowest eigenvalues of the energy operator. We
apply our results to a study of partial masslessness of fermionic fields in
(A)dS(d), and in the case of d=4 confirm the conjecture made in the earlier
literature.Comment: 14 pages, LaTeX -2e. v3: misprint in equation (2.24) corrected,
footnotes 1,2,8,10 and references added, notation for the cosmological
constant and operator of gauge transformation change
Superparticle and superstring in AdS_3 x S^3 Ramond-Ramond background in light-cone gauge
We discuss superparticle and superstring dynamics in AdS_3 x S^3 supported by
R-R 3-form background using light-cone gauge approach. Starting with the
superalgebra psu(1,1|2) + psu(1,1|2) representing the basic symmetry of this
background we find the light-cone superparticle Hamiltonian. We determine the
harmonic decomposition of light-cone superfield describing fluctuations of type
IIB supergravity fields expanded near AdS_3 x S^3 background and compute the
corresponding Kaluza-Klein spectrum. We fix the fermionic and bosonic
light-cone gauges in the covariant Green-Schwarz AdS_3 x S^3 superstring action
and find the light-cone string Hamiltonian. We also obtain a realization of the
generators of psu(1,1|2) + psu(1,1|2) in terms of the superstring 2-d fields in
the light-cone gauge.Comment: 32 pages, late
CFT adapted gauge invariant formulation of massive arbitrary spin fields in AdS
Using Poincare parametrization of AdS space, we study massive totally
symmetric arbitrary spin fields in AdS space of dimension greater than or equal
to four. CFT adapted gauge invariant formulation for such fields is developed.
Gauge symmetries are realized by using Stueckelberg formulation of massive
fields. We demonstrate that the mass parameter, curvature and radial coordinate
contributions to the gauge transformation and Lagrangian of the AdS massive
fields can be expressed in terms of ladder operators. Three representations for
the Lagrangian are discussed. Realization of the global AdS symmetries in the
conformal algebra basis is obtained. Modified de Donder gauge leading to simple
gauge fixed Lagrangian is found. The modified de Donder gauge leads to
decoupled equations of motion which can easily be solved in terms of the Bessel
function. New simple representation for gauge invariant Lagrangian of massive
(A)dS field in arbitrary coordinates is obtained. Light-cone gauge Lagrangian
of massive AdS field is also presented.Comment: 14 pages, LaTeX-2e. v3: Typo corrected in 2nd line below Eq.(4.34
Cubic interaction vertices for massive and massless higher spin fields
Using the light-cone formulation of relativistic dynamics, we develop various
methods for constructing cubic interaction vertices and apply these methods to
the study of higher spin fields propagating in flat space of dimension greater
than or equal to four. Generating functions of parity invariant cubic
interaction vertices for massive and massless higher spin fields of arbitrary
symmetry are obtained. We derive restrictions on the allowed values of spins
and the number of derivatives, which provide a classification of cubic
interaction vertices for totally symmetric fields. As an example of application
of the light-cone formalism, we obtain simple expressions for the minimal
Yang-Mills and gravitational interactions of massive totally symmetric
arbitrary spin fields. We give the complete list of parity invariant and parity
violating cubic interaction vertices that can be constructed for massless
fields in five and six-dimensional spaces.Comment: 55 pages, LaTeX-2e, v3: Equations (3.15),(3.16) added to Section 3.
Discussion of vertices for massless fields in d=4 and footnotes 16,17 added
to Section 5.1. New vertices added to Table I. Misprints in equations (7.4),
(C.5), and (D.58) correcte
Light-cone Superstring in AdS Space-time
We consider fixing the bosonic light-cone gauge for string in AdS in the
phase space framework, i.e. by choosing , and by choosing
so that is distributed uniformly (its density is independent of
). We discuss classical bosonic string in AdS space and superstring in
AdS_5 x S^5. In the latter case the starting point is the action found in
hep-th/0007036 where the kappa-symmetry is fixed by a fermionic light cone
gauge. We derive the light cone Hamiltonian in the AdS_5 x S^5 case and in the
case of superstring in AdS_3 x S^3. We also obtain a realization of the
generators of the basic symmetry superalgebra psu(2,2|4) in terms of the AdS_5
x S^5 superstring coordinate fields.Comment: 34 pages, latex. v3: section 5.4 revised. v4: minor corrections,
version to appear in NP
Light-cone form of field dynamics in anti-de Sitter space-time and AdS/CFT correspondence
Light-cone form of field dynamics in anti-de Sitter space-time is developed.
Using field theoretic and group theoretic approaches the light-cone
representation for generators of anti-de Sitter algebra acting as differential
operators on bulk fields is found. We also present light-cone reformulation of
the boundary conformal field theory representations. Making use of these
explicit representations of AdS algebra as isometry algebra in the bulk and the
algebra of conformal transformations at the boundary a precise correspondence
between the bulk fields and the boundary operators is established.Comment: 57 pages, LaTeX, typos corrected in Appendice
Supersymmetric D3 brane action in AdS_5 x S^5
We find the space-time supersymmetric and kappa-invariant action for a
D3-brane propagating in the AdS_5 x S^5 background. As in the previous
construction of the fundamental string action in this maximally supersymmetric
string vacuum the starting point is the corresponding superalgebra su(2,2|4).
We comment on the super Yang-Mills interpretation of the gauge-fixed form of
the action.Comment: 12 pages, latex. v2: misprints corrected, useful representation of
the WZ part of the action added in section
BRST-BV approach to cubic interaction vertices for massive and massless higher-spin fields
Using BRST-BV formulation of relativistic dynamics, we study arbitrary spin
massive and massless fields propagating in flat space. Generating functions of
gauge invariant off-shell cubic interaction vertices for mixed-symmetry and
totally symmetric fields are obtained. For the case of totally symmetric
fields, we derive restrictions on the allowed values of spins and the number of
derivatives, which provide a classification of cubic interaction vertices for
such fields. As by product, we present simple expressions for the Yang-Mills
and gravitational interactions of massive totally symmetric arbitrary spin
fields.Comment: 12 pages, LaTeX-2
Eleven-Dimensional Supergravity in Light-Cone Superspace
We show that Supergravity in eleven dimensions can be described in terms of a
constrained superfield on the light-cone, without the use of auxiliary fields.
We build its action to first order in the gravitational coupling constant
\kappa, by "oxidizing" (N=8,d=4) Supergravity. This is simply achieved, as for
N=4 Yang-Mills, by extending the transverse derivatives into superspace. The
eleven-dimensional SuperPoincare algebra is constructed and a fourth order
interaction is conjectured.Comment: 18 page
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