100 research outputs found
On Locality, Holography and Unfolding
No full textWe study the functional class and locality problems in the context of
higher-spin theories and Vasiliev's equations. A locality criterion that is
sufficient to make higher-spin theories well-defined as field theories on
Anti-de-Sitter space is proposed. This criterion identifies admissible
pseudo-local field redefinitions which preserve AdS/CFT correlation functions
as we check in the 3d example. Implications of this analysis for known
higher-spin theories are discussed. We also check that the cubic coupling
coefficients previously fixed in 3d at the action level give the correct CFT
correlation functions upon computing the corresponding Witten diagrams
FIGURE 3 in A broadly sampled 3-loci plastid phylogeny of Atraphaxis (Polygoneae, Polygonoideae, Polygonaceae) reveals new taxa: II. Atraphaxis selengensis spec. nov., and A. davurica Jaub. & Spach from Russian Transbaikalia
No full textFIGURE 3. Thyrses of Atraphaxis davurica (A), A. davurica var. chikoensis (B), A. pungens (C), A. selengensis (D–E) and A. frutescens from RUSSIA (F). A—Buryatia, Mukhorshibirsky d., Podlopatki, Abramova et al. (MW). B—Buryatia, Khentei-Chikoy Highlands, Anagustay, Maximova (LE). C—Khakassia, Askiz d., Kazanovka, Skvortsov (MW). D—Buryatia, Selenginsk, Poplavskaya & Sukachev 3286 (LE). E—Buryatia, Selenginsk, Daeva (MHA, Holotype). F—Novosibirsk region, Ordynsky d., Antonovo, Kostikov (NS)Published as part of Yurtseva, Olga V., Badmaeva, N.K. & Mavrodiev, Evgeny V., 2021, A broadly sampled 3-loci plastid phylogeny of Atraphaxis (Polygoneae, Polygonoideae, Polygonaceae) reveals new taxa: II. Atraphaxis selengensis spec. nov., and A. davurica Jaub. & Spach from Russian Transbaikalia, pp. 44-74 in Phytotaxa 484 (1) on page 52, DOI: 10.11646/phytotaxa.484.1.2, http://zenodo.org/record/542110
Light-Front Bootstrap for Chern-Simons Matter Theories
No full textWe propose a new approach to solve conformal field theories and apply it to
Chern-Simons Matter theories and three-dimensional bosonization duality. All
three-point correlation functions of single-trace operators are obtained in the
large- as a simple application. The idea is to construct, as an effective
weakly-coupled theory, a nonlinear realization of the conformal algebra in
terms of physical, gauge-invariant, operators. The efficiency of the method is
also in the use of an analog of the light-cone gauge and of the momentum-space
on the CFT side. AdS/CFT is used as a convenient regulator and as a source of
the canonical bracket. The uniqueness of the nonlinear realization manifests
the three-dimensional bosonization duality at this order. We also find two more
non-unitary solutions which should be analogous to the fishnet theories. The
results can also be viewed as an explicit realization of the slightly-broken
higher spin symmetry.
As a by-product, the cubic action of the Higher Spin Gravity in is
constructed. While generic Higher Spin Gravities are obstructed at higher
orders by nonlocality, we point out the existence of two especially simple and
well-defined theories: chiral and anti-chiral whose three-point functions
correspond to the two new solutions. These two theories are supposed to give a
quantum complete and local example of gravitational bulk duals.Comment: 27 pages; typos and a formatting issue are fixe
Elementary particles with continuous spin
No full textInternational audienceClassical results and recent developments on the theoretical description of elementary particles with “continuous” spin are reviewed. At free level, these fields are described by unitary irreducible representations of the isometry group (either Poincaré or anti-de Sitter group) with an infinite number of physical degrees of freedom per space–time point. Their basic group-theoretical and field-theoretical descriptions are reviewed in some details. We mention a list of open issues which are crucial to address for assessing their physical status and potential relevance
Homotopy Cartan calculus and inner deformations of A∞-algebras
No full textWe consider inner deformations of families of A∞-algebras. With the help of noncommutative Cartan’s calculus, we prove the invariance of Hochschild (co)homology under inner deformations. The invariance also holds for cyclic cohomology classes that satisfy some additional conditions.Applications to dg-algebras and QFT problems are briefly discussed
Chiral Higher Spin Gravity in (A)dS and secrets of Chern-Simons Matter Theories
No full textChiral Higher Spin Gravity with cosmological constant is constructed as a
Free Differential Algebra, i.e. at the level of equations of motion, which is a
smooth deformation of its flat space cousin arXiv:2205.07794. Chiral Higher
Spin Gravity is a unique class of local higher spin theories; its very
existence implies that there is a closed and, most likely, integrable
sub-sector of Chern-Simons Matter Theories, which has important consequences
both for the theories themselves and for three-dimensional bosonization
duality.Comment: 19 pages + Appendices + Biblio = 30 pages; further typos fixed,
comments and refs adde
Higher spin gravities and presymplectic AKSZ models
No full textAs a step towards quantization of Higher Spin Gravities we construct the presymplectic AKSZ sigma-model for 4d Higher Spin Gravity which is AdS/CFT dual of Chern–Simons vector models. It is shown that the presymplectic structure leads to the correct quantum commutator of higher spin fields and to the correct algebra of the global higher spin symmetry currents. The presymplectic AKSZ model is proved to be unique, it depends on two coupling constants in accordance with the AdS/CFT duality, and it passes some simple checks of interactions
Correlation functions of Sp(2n) invariant higher-spin systems
No full textWe study the general structure of correlation functions in an Sp(2n)-invariant formulation of systems of an infinite number of higher-spin fields. For n = 4, 8 and 16 these systems comprise the conformal higher-spin fields in space-time dimensions D = 4, 6 and 10, respectively, while when n = 2, one deals with conventional D = 3 conformal field theories of scalars and spinors. We show that for n > 2 the Sp(2 n) symmetry and current conservation makes the 3-point correlators of two (rank-one or rank-two) conserved currents with a scalar operator be that of free theory. This situation is analogous to the one in conventional conformal field theories, where conservation of higher-spin currents implies that the theories are free
Cup product on A(infinity)-cohomology and deformations
No full textWe propose a simple method for constructing formal deformations of differential graded algebras in the category of minimal -algebras. The basis for our approach is provided by the Gerstenhaber algebra structure on the -cohomology, which we define in terms of the brace operations. As an example, we construct a minimal -algebra form the Weyl-Moyal -product algebra of polynomial functions
Formal Higher Spin Gravities
No full textWe present a complete solution to the problem of Formal Higher Spin Gravities — formally consistent field equations that gauge a given higher spin algebra and describe free higher spin fields upon linearization. The problem is shown to be equivalent to constructing a certain deformation of the higher spin algebra as an associative algebra. Given this deformation, all interaction vertices are explicitly constructed. All formal solutions of the equations are explicitly described in terms of an auxiliary Lax pair, the deformation parameter playing the role of the spectral one. We also discuss a natural set of observables associated to such theories, including the holographic correlation functions. As an application, we give another form of the Type-B formal Higher Spin Gravity and discuss a number of systems in five dimensions
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