A GEOMETRIC FIELD THEORY OF CLOSED STRINGS: D=4, N=1 LOOP SUPERGRAVITY

1990 ◽  
Vol 05 (09) ◽  
pp. 1819-1832
Author(s):  
Leonardo Castellani
Keyword(s):  
Field Theory ◽  
Classical Field Theory ◽  
Energy Limit ◽  
Field Equations ◽  
Mass Generation ◽  
Infinite Dimensional ◽  
Internal Loop ◽  
Higher Spin ◽  
Spin Fields ◽  
Kaluza Klein

We present a classical field theory of interacting loops, whose low energy limit is D=4, N=1 supergravity. In Fourier modes, the theory is obtained by gauging the infinite dimensional algebra KM (SuperPoincaré) ⊕ Virasoro, where KM indicates the Kac-Moody extension. Taylor expanding the superloop vielbein in the “internal” coordinates yields towers of D=4 fields with arbitrarily high spins. The superloop diffeomorphisms relate all the higher spin fields. The field equations are obtained by requiring the closure of the generalized supersymmetries. Two different mechanisms give rise to masses for the higher modes: (i) a Kaluza-Klein type mass generation from “internal” loop coordinates, (ii) a non-vanishing background value for the zero mode of the Virasoro gauge field.

Premetric representation of mechanics, electromagnetism and gravity

2018 ◽  
Vol 15 (supp01) ◽  
pp. 1840002 ◽  
Author(s):  
Yakov Itin
Keyword(s):  
Field Theory ◽  
Constitutive Relations ◽  
Classical Field Theory ◽  
Classical Field ◽  
Field Equations ◽  
Basic Field ◽  
Alternative Representation ◽  
Spacetime Metric ◽  
Underlying Manifold

The premetric formalism is an alternative representation of a classical field theory in which the field equations are formulated without the spacetime metric. Only the constitutive relations between the basic field variables can involve the metric of the underlying manifold. In this paper, we present a brief pedagogical review of the premetric formalism in mechanics, electromagnetism, and gravity.

scholarly journals FREE CURVILINEAR SPACE WITH TORSION

Globus ◽  
2021 ◽  
Vol 7 (6(63)) ◽  
pp. 27-33
Author(s):  
Y.A. Sharin
Keyword(s):  
Field Theory ◽  
Mass Density ◽  
Classical Field Theory ◽  
Classical Field ◽  
Field Equations ◽  
Curved Space ◽  
Astronomical Observations ◽  
Average Mass ◽  
Cosmological Solutions ◽  
The Universe

Under the classical field theory, a variant unification of gravity and electromagnetism on the basis of four-dimensional curved space with torsion is proposed. The connection between electromagnetic field and torsion of space is discovered, a physical interpretation of the space scalar curvature as the density of matter mass is proposed. The solution for the eigenstate of a curved space with torsion, corresponding to the electron is obtained. The identification of the field equations as the Schrodinger equation for the hydrogen atom is shown. Cosmological solutions for the expanding Universe are found, the average mass density in the Universe is estimated, and the results corresponding to the data of astronomical observations are obtained.

scholarly journals Extended string field theory for massless higher-spin fields

2013 ◽  
Vol 877 (3) ◽  
pp. 1107-1128 ◽  
Author(s):  
Masako Asano ◽  
Mitsuhiro Kato
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Higher Spin ◽  
Spin Fields ◽  
Higher Spin Fields

scholarly journals PROMOTING FINITE TO INFINITE SYMMETRIES: THE (3 + 1)-DIMENSIONAL ANALOGUE OF THE VIRASORO ALGEBRA AND HIGHER-SPIN FIELDS

2000 ◽  
Vol 15 (14) ◽  
pp. 939-944 ◽  
Author(s):  
M. CALIXTO
Keyword(s):  
Gauge Theories ◽  
Conformal Symmetry ◽  
Virasoro Algebra ◽  
De Sitter ◽  
Infinite Dimensional ◽  
Higher Spin ◽  
Spin Fields ◽  
Conformal Gauge ◽  
Matter Fields ◽  
Integrable Field

Infinite enlargements of finite pseudo-unitary symmetries are explicitly provided in this letter. The particular case of u (2, 2) ≃ so (4, 2) ⊕ u (1) constitutes a (Virasoro-like) infinite-dimensional generalization of the (3 + 1) -dimensional conformal symmetry, in addition to matter fields with all conformal spins. These algebras provide a new arena for integrable field models in higher dimensions; for example, anti-de Sitter and conformal gauge theories of higher-so(4, 2)-spin fields. A proposal for a noncommutative geometrical interpretation of space is also outlined.

scholarly journals Field Theory of Particles with Arbitrary Spin

1977 ◽  
Vol 30 (1) ◽  
pp. 1 ◽  
Author(s):  
HS Green
Keyword(s):  
Field Theory ◽  
Dynamical Symmetry ◽  
Arbitrary Spin ◽  
De Sitter ◽  
Interacting Particles ◽  
Field Equations ◽  
Sitter Group ◽  
Finite Dimensional ◽  
General Field ◽  
Higher Spin

It is pointed out that existing field equations for particles of higher spin are unsuitable' for the formulation of field theories with interaction. ' A generalization of the Dirac and Kemmer matrices is discussed in terms of finite-dimensional representations of the de, Sitter group. ' It is shown how to formulate a general field theory in such a way as to exhibit a corresponding dynamical symmetry. The resulting field equation resembles Bhabha's, but is self-consistent in its applications to interacting particles and has a different type of mass spectrum. In the Appendix, it is shown that'within any'irreducible representation of the Poincare group there are finite-dimensional representations of the'Lorentz group'labelled (s, � s).

scholarly journals Higher-spin states of the superstring in an electromagnetic background

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Karim Benakli ◽  
Nathan Berkovits ◽  
Cassiano A. Daniel ◽  
Matheus Lize
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Open Problem ◽  
Open String ◽  
Spin States ◽  
Massive Spin ◽  
Higher Spin ◽  
Spin Fields ◽  
Higher Spin Fields

Abstract Constructing a consistent four-dimensional Lagrangian for charged massive higher-spin fields propagating in an electromagnetic background is an open problem. In 1989, Argyres and Nappi used bosonic open string field theory to construct a Lagrangian for charged massive spin-2 fields in a constant electromagnetic background. In this paper, we use the four-dimensional hybrid formalism for open superstring field theory to construct a supersymmetric Lagrangian for charged massive spin-2 and spin-3/2 fields in a constant electromagnetic background. The hybrid formalism has the advantage over the RNS formalism of manifest $$ \mathcal{N} $$ N = 1 d=4 spacetime supersymmetry so that the spin-2 and spin-3/2 fields are combined into a single superfield and there is no need for picture-changing or spin fields.

scholarly journals Manifest form of the spin-local higher-spin vertex $$\varUpsilon ^{\eta \eta }_{\omega CCC}$$

2021 ◽  
Vol 81 (7) ◽  
Author(s):  
O. A. Gelfond ◽  
A. V. Korybut
Keyword(s):  
Field Strength ◽  
Gauge Fields ◽  
Local Form ◽  
Field Equations ◽  
Independent Form ◽  
Higher Spin ◽  
Spin Fields ◽  
Practical Analysis ◽  
System Order ◽  
Generating System

AbstractVasiliev generating system of higher-spin equations allowing to reconstruct nonlinear vertices of field equations for higher-spin gauge fields contains a free complex parameter $$\eta $$ η . Solving the generating system order by order one obtains physical vertices proportional to various powers of $$\eta $$ η and $${\bar{\eta }}$$ η ¯ . Recently $$\eta ^2$$ η 2 and $${\bar{\eta }}^2$$ η ¯ 2 vertices in the zero-form sector were presented in Didenko et al. (JHEP 2012:184, 2020) in the Z-dominated form implying their spin-locality by virtue of Z-dominance Lemma of Gelfond and Vasiliev (Phys. Lett. B 786:180, 2018). However the vertex of Didenko et al. (2020) had the form of a sum of spin-local terms dependent on the auxiliary spinor variable Z in the theory modulo so-called Z-dominated terms, providing a sort of existence theorem rather than explicit form of the vertex. The aim of this paper is to elaborate an approach allowing to systematically account for the effect of Z-dominated terms on the final Z-independent form of the vertex needed for any practical analysis. Namely, in this paper we obtain explicit Z-independent spin-local form for the vertex $$\varUpsilon ^{\eta \eta }_{\omega CCC}$$ Υ ω C C C η η for its $$\omega CCC$$ ω C C C -ordered part where $$\omega $$ ω and C denote gauge one-form and field strength zero-form higher-spin fields valued in an arbitrary associative algebra in which case the order of product factors in the vertex matters. The developed formalism is based on the Generalized Triangle identity derived in the paper and is applicable to all other orderings of the fields in the vertex.

scholarly journals THE COSMOLOGICAL CONSTANT PROBLEM AND KALUZA–KLEIN THEORY

2001 ◽  
Vol 10 (06) ◽  
pp. 905-912 ◽  
Author(s):  
PAUL S. WESSON ◽  
HONGYA LIU
Keyword(s):  
Field Theory ◽  
General Relativity ◽  
Energy Density ◽  
Cosmological Constant ◽  
Field Equations ◽  
Cosmological Constant Problem ◽  
Klein Theory ◽  
Kaluza Klein

We present technical results which extend previous work and show that the cosmological constant of general relativity is an artefact of the reduction to 4D of 5D Kaluza–Klein theory (or 10D superstrings and 11D supergravity). We argue that the distinction between matter and vacuum is artificial in the context of ND field theory. The concept of a cosmological "constant" (which measures the energy density of the vacuum in 4D) should be replaced by that of a series of variable fields whose sum is determined by a solution of ND field equations in a well-defined manner.

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