Abstract
In this work, we investigate the bosonic chiral string in the sectorized inter- pretation, computing its spectrum, kinetic action and 3-point amplitudes. As expected, the bosonic ambitwistor string is recovered in the tensionless limit. We also consider an extension of the bosonic model with current algebras. In that case, we compute the effective action and show that it is essentially the same as the action of the mass-deformed (DF )2 theory found by Johansson and Nohle. Aspects which might seem somewhat contrived in the original construction — such as the inclusion of a scalar transforming in some real representation of the gauge group — are shown to follow very naturally from the worldsheet formulation of the theory.
Highlights
It was noticed that the spectrum of tensionful chiral strings could contain a finite number of massive states [11], depending on the amount of spacetime supersymmetry
In this work, we investigate the bosonic chiral string in the sectorized interpretation, computing its spectrum, kinetic action and 3-point amplitudes
The bosonic ambitwistor string is recovered in the tensionless limit
Summary
Where T > 0 is the string tension, gij is the worldsheet metric (with inverse gij) and g = det(gij), with i, j denoting the usual worldsheet coordinates τ and σ. Are raised and lowered with the (mostly plus) Minkowski metric ηmn. In the first order formulation, one can define a classically equivalent action, given by SP =. Where e± denote the Weyl invariant Lagrange multipliers related to the worldsheet metric as gτσ e±. The action SP is invariant under worldsheet reparametrizations, generated by. H± ≡ (Pm ± T ∂σXm)(P m ± T ∂σXm). (2.5c) where c+ and c− are local parameters
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