Abstract
Bosonic and RNS chiral strings have been defined from a singular gauge fixing of the respective Polyakov and spinning string actions, enforcing, among other things, the finite nature of their physical spectra. Except for the heterotic case, the tensionless limits of such chiral models have been shown to describe the same field theories predicted by their ambitwistor analogues. In this paper, we study the Green-Schwarz formulation for Type II and heterotic superstrings in a singular gauge. After performing a light-cone gauge analysis, their physical spectra are shown to match those of RNS chiral strings, and their respective tensionless limits are found to describe the same field theories predicted by RNS ambitwistor strings. Their pure spinor counterparts are then introduced by making use of the Oda-Tonin method. In doing so, symmetries hidden in the pure spinor ambitwistor string action become manifest, proposals motivating the sectorized pure spinor BRST charges find simple grounds, and integrated vertex operators emerge naturally.
Highlights
Soon after, Siegel realized that the chiral nature of the ambitwistor string action can be understood from a singular gauge-fixing (HSZ) of the Polyakov action [8]
Bosonic and RNS chiral strings have been defined from a singular gauge fixing of the respective Polyakov and spinning string actions, enforcing, among other things, the finite nature of their physical spectra
After performing a light-cone gauge analysis, their physical spectra are shown to match those of RNS chiral strings, and their respective tensionless limits are found to describe the same field theories predicted by RNS ambitwistor strings
Summary
We restrict ourselves to the bosonic case throughout this section. Quantization of (2.5) tells us that the critical dimension is D = 26 and the Hilbert space consists of tardyonic and tachyonic spin-2 states whose mass-squares are proportional to T , and the usual massless multiplet made up of the graviton, Kalb-Ramond and dilaton states Even though this result can be deduced from the explicit computation of the BRST cohomology of (2.5), it can be understood from a light-cone gauge perspective: the oscillator algebras for the non-zero modes of the Virasoro constraints possess a relative sign of -1. The null tension limit mixes these three type of spin-2 particles to produce gravitons satisfying the equation of motion 3h = 0 [16] These are exactly the same gravitons described by the bosonic ambitwistor string [2].
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