
TL;DR
This paper constructs (0,2) chiral Liouville field theories demonstrating the existence of heterotic supercurrent supermultiplets compatible with warped superconformal algebra in (1+1) dimensions.
Contribution
It introduces the first explicit models of (0,2) chiral Liouville theories realizing heterotic supercurrent supermultiplets.
Findings
Both possible heterotic supercurrent supermultiplets are realized.
The theories are consistent with warped superconformal algebra.
Provides an existence proof for these supermultiplets in 2D QFTs.
Abstract
As an existence proof of the (0,2) heterotic supercurrent supermultiplets in (1+1) dimensional quantum field theories which are consistent with the warped superconformal algebra, we construct the (0,2) chiral Liouville field theories. The two distinct possibilities of the heterotic supercurrent supermultiplets are both realized.
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