Tensionless strings: physical Fock space and higher spin fields

Abstract

I study the physical Fock space of the tensionless string theory with perimeter action, exploring its new gauge symmetry algebra. The cancellation of conformal anomaly requires the space-time to be 13-dimensional. All particles are massless and there are no tachyon states in the spectrum. The zero mode conformal operator defines the levels of the physical Fock space. All levels can be classified by the highest Casimir operator W of the little group E(11) for massless particles in 11-dimensions. The ground state is infinitely degenerated and contains massless gauge fields of arbitrary large integer spin, realizing the irreducible representations of E(11) of fixed helicity. The excitation levels realize CSR representations of little group E(11) with an infinite number of helicities. After inspection of the first excitation level, which, as I prove, is a physical null state, I conjecture that all excitation levels are physical null states. In this theory the tensor field of the second rank does not play any distinctive role and therefore one can suggest that in this model there is no gravity.

22 pages, Latex, references added

References in corpus (2)

• Free geometric equations for higher spins
• On the Tensionless Limit of Bosonic Strings, Infinite Symmetries and Higher Spins

Cited by in corpus (40)

• Brane Partons and Singleton Strings
• Geometric Lagrangians for massive higher-spin fields
• The continuous spin limit of higher spin field equations
• Continuous spin gauge field in (A)dS space
• String theory triplets and higher-spin curvatures
• Non-Abelian tensor gauge fields: generalization of Yang-Mills theory
• Fermionic continuous spin gauge field in (A)dS space
• BRST approach to Lagrangian construction for bosonic continuous spin field
• Generalization of Yang-Mills Theory
• Gauge Theory Formulations for Continuous and Higher Spin Fields
• Infinite spin particles
• Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields
• BRST-BV approach to continuous-spin field
• Light-cone continuous-spin field in AdS space
• Continuous-spin mixed-symmetry fields in AdS(5)
• Higher Level String Resonances in Four Dimensions
• Cubic interaction vertices for massive/massless continuous-spin fields and arbitrary spin fields
• Quantum gravity as a Fermi liquid
• On the boundary gauge dual of closed tensionless free strings in AdS
• Remarks on a Gauge Theory for Continuous Spin Particles
• Towards Lagrangian construction for infinite half-integer spin field
• Tensionless strings, correspondence with SO(D,D) sigma model
• A Comment on Continuous Spin Representations of the Poincaré Group and Perturbative String Theory
• Extension of the Poincaré Group and Non-Abelian Tensor Gauge Fields
• BRST-BFV and BRST-BV Descriptions for Bosonic Fields with Continuous Spin on $R^{1,d-1}$
• Covariant perturbations in the gonihedric string model
• BRST-BV Quantum Actions for Constrained Totally-Symmetric Integer HS Fields
• Production of non-Abelian tensor gauge bosons. Tree amplitudes in generalized Yang-Mills theory and BCFW recursion relation
• Non-Abelian tensor gauge fields and higher-spin extension of Standard Model
• Propagating modes of non-Abelian tensor gauge field of second rank
• Covariant quantization of infinite spin particle models, and higher order gauge theories
• Connection between non-Abelian tensor gauge fields and open strings
• The Gonihedric Paradigm Extensions of the Ising Model
• Quantum Theory of Tensionless Noncommutative p-Branes
• Worldsheet Instantons and a Null String Limit of Born-Infeld Theory
• Tensor gauge boson production in high energy collisions
• Hamiltonian dynamics of gonihedric string theory
• Unconstrained Lagrangian Formulation for Bosonic Continuous Spin Theory in Flat Spacetime of Arbitrary Dimension
• Tensionless Strings. Vertex Operator for Fixed Helicity States
• Closed Algebras for Higher Rank, non-Abelian Tensor Gauge Fields