Anomaly Freedom and Realisations for Super-$W_3$ Strings
H. Lu, C.N. Pope, X.J. Wang, K.W. Xu
TL;DR
This paper constructs new multi-field realizations of the super-$W_3$ algebra, analyzes the ghost vacuum structure, and determines conditions for physical states in super-$W_3$ string theories, advancing the understanding of their algebraic and physical properties.
Contribution
It introduces novel multi-field realizations of the super-$W_3$ algebra and analyzes the ghost vacuum structure relevant for super-$W_3$ string theories.
Findings
Derived the structure of the ghost vacuum for super-$W_3$ strings.
Calculated the intercepts to determine physical state conditions.
Provided new realizations essential for super-$W_3$ string model building.
Abstract
We construct new multi-field realisations of the super- algebra, which are important for building super- string theories. We derive the structure of the ghost vacuum for such theories, and use the result to calculate the intercepts. These results determine the conditions for physical states in the super- string theory.
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