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arXiv · 2109.10401

Chiral string theories as an interpolation between strings and particles

Matheus Loss Lize·Bochen Lyu·Warren Siegel·Yu-Ping Wang
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Abstract

A new set of boundary conditions for string propagators is proposed in this paper. The boundary conditions are parametrized by a complex number $\lambda$. Under these new boundary conditions, the left-moving and right-moving modes are treated unequally. Thus, we called them chiral string theories. If $\lambda = -1$, the spectrum of such theory truncates to a finite number, and therefore it becomes a different description of supergravity. We found the spectrum of chiral string theories by requiring that the vertex operators are conformally invariant. In addition, we also calculate the amplitudes for arbitrary $\lambda$. The amplitudes are expressed as a product of open string amplitudes which are similar to the KLT relation. The unitarity of these theories are investigated. However, we found out that except for $\lambda = \pm 1$, all other theories are not unitary; i.e., only the supergravity and ordinary strings are unitary. Although most of the chiral strings are not physical, they still serve as a valuable tool in studying the relation between particle theories and string theories.

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Matheus Loss Lize, Bochen Lyu, Warren Siegel, Yu-Ping Wang. 2021-09-21. Chiral string theories as an interpolation between strings and particles. https://arxiv.org/abs/2109.10401

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