4,109 research outputs found
Off-Shell Scalar Supermultiplet in the Unfolded Dynamics Approach
We show how manifestly supersymmetric action for Wess-Zumino model can be
constructed within the unfolded dynamics approach. The off-shell unfolded
system for N = 1, D = 4 scalar supermultiplet is found. The action is presented
in the form of integral of a closed 4-form over any (4, 0) surface in
superspace as well as a superspace integral of an integral form or a chiral
integral form. The proposed method is argued to provide a most general tool for
the analysis of manifestly supersymmetric functionals.Comment: 32 pages, V3: references are added; introduction is extende
Towards a Unified Theory of Massless Superfields of All Superspins
We describe the ``universal'' action for massless superfields of all
superspins in N = 1, D = 4 anti-de Sitter superspace as a gauge theory of
unconstrained superfields taking their values in the commutative algebra of
analytic functions over a one-sheeted hyperboloid in . The action is
invariant under N = 2 supersymmetry transformations which form a closed algebra
off the mass-shell.Comment: 12 pages, LaTe
Charges in nonlinear higher-spin theory
Nonlinear higher-spin equations in four dimensions admit a closed two-form
that defines a gauge-invariant global charge as an integral over a
two-dimensional cycle. In this paper we argue that this charge gives rise to
partitions depending on various lower- and higher-spin chemical potentials
identified with modules of topological fields in the theory. The vacuum
contribution to the partition is calculated to the first nontrivial order for a
solution to higher-spin equations that generalizes AdS4 Kerr black hole of
General Relativity. The resulting partition is non-zero being in parametric
agreement with the ADM-like behavior of a rotating source. The linear response
of chemical potentials to the partition function is also extracted. The
explicit unfolded form of 4d GR black holes is given. An explicit formula
relating asymptotic higher-spin charges expressed in terms of the generalized
higher-spin Weyl tensor with those expressed in terms of Fronsdal fields is
obtained.Comment: 23 pages; V3: typos corrected; references and acknowledgement added;
example of the topological contribution to spin-4 charge added; new Section
3.1 added establishing relation of our construction for asymptotic charges
with the canonical one. Version published in JHE
Lorentz covariant form of extended higher-spin equations
The extension of nonlinear higher-spin equations in d=4 proposed in
[arXiv:1504.07289] for the construction of invariant functional is shown to
respect local Lorentz symmetry. The equations are rewritten in a manifestly
Lorentz covariant form resulting from some Stueckelberg-like field
transformation. We also show that the two field-independent central terms
entering higher-spin equations which are not entirely fixed by the consistency
alone get fixed unambiguously by the requirement of Lorentz symmetry. One of
the important advantages of the proposed approach demonstrated in the paper is
the remarkable simplification of the perturbative analysis.Comment: V2: 20 pages, typos corrected, references added. Version published in
JHE
Parent field theory and unfolding in BRST first-quantized terms
For free-field theories associated with BRST first-quantized gauge systems,
we identify generalized auxiliary fields and pure gauge variables already at
the first-quantized level as the fields associated with algebraically
contractible pairs for the BRST operator. Locality of the field theory is taken
into account by separating the space--time degrees of freedom from the internal
ones. A standard extension of the first-quantized system, originally developed
to study quantization on curved manifolds, is used here for the construction of
a first-order parent field theory that has a remarkable property: by
elimination of generalized auxiliary fields, it can be reduced both to the
field theory corresponding to the original system and to its unfolded
formulation. As an application, we consider the free higher-spin gauge theories
of Fronsdal.Comment: LaTeX, amsart++, 40 pages, references added, final version to appear
in Commun. Math. Phy
Parent formulation at the Lagrangian level
The recently proposed first-order parent formalism at the level of equations
of motion is specialized to the case of Lagrangian systems. It is shown that
for diffeomorphism-invariant theories the parent formulation takes the form of
an AKSZ-type sigma model. The proposed formulation can be also seen as a
Lagrangian version of the BV-BRST extension of the Vasiliev unfolded approach.
We also discuss its possible interpretation as a multidimensional
generalization of the Hamiltonian BFV--BRST formalism. The general construction
is illustrated by examples of (parametrized) mechanics, relativistic particle,
Yang--Mills theory, and gravity.Comment: 26 pages, discussion of the truncation extended, typos corrected,
references adde
New Renormalization Group Equations and the Naturalness Problem
Looking for an observable manifestation of the so-called unnaturalness of
scalar fields we introduce a seemingly new set of differential equations for
connected Green functions. These equations describe the momentum dependence of
the Green functions and are close relatives to the previously known
renormalization group equations. Applying the new equations to the theory of
scalar field with interaction we identify a relation between the
four-point Green function and the propagator which expresses the unnaturalness
of the scalar field. Possible manifestations of the unnaturalness at low
momenta are briefly discussed.Comment: 12 revtex pages; a coefficient has been corrected in eq. (34), four
new references added; final version to appear in Phys. Rev.
Interacting Vector-Spinor and Nilpotent Supersymmetry
We formulate an interacting theory of a vector-spinor field that gauges
anticommuting spinor charges \{Q_\alpha{}^I, Q_\beta{}^J \} = 0 in arbitrary
space-time dimensions. The field content of the system is (\psi_\mu{}^{\alpha
I}, \chi^{\alpha I J}, A_\mu{}^I), where \psi_\mu{}^{\alpha I} is a
vector-spinor in the adjoint representation of an arbitrary gauge group, and
A_\mu{}^I is its gauge field, while \chi^{\alpha I J} is an extra spinor with
antisymmetric adjoint indices I J. Amazingly, the consistency of the
vector-spinor field equation is maintained, despite its non-trivial
interactions.Comment: 10 pages, no figure
A minimal BV action for Vasiliev's four-dimensional higher spin gravity
The action principle for Vasiliev's four-dimensional higher-spin gravity
proposed recently by two of the authors, is converted into a minimal BV master
action using the AKSZ procedure, which amounts to replacing the classical
differential forms by vectorial superfields of fixed total degree given by the
sum of form degree and ghost number. The nilpotency of the BRST operator is
achieved by imposing boundary conditions and choosing appropriate gauge
transitions between charts leading to a globally-defined formulation based on a
principal bundle.Comment: 39 pages, 1 figure. Additional comments in the conclusion
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