A Natural Mechanism for Supersymmetry Breaking with Zero Cosmological Constant (Minor corrections of some formulae, no substantial change)

TL;DR

This paper explores a novel supersymmetry breaking mechanism in four-dimensional theories that naturally results in a zero cosmological constant, based on BRS cohomology and anomaly considerations.

Contribution

It introduces a new supersymmetry breaking mechanism linked to BRS cohomology and anomalies, providing a natural explanation for a zero cosmological constant.

Findings

Identifies potential anomalies in supersymmetric theories with chiral superfields.

Proposes a new supersymmetry breaking mechanism arising from anomalies.

Suggests the mechanism naturally yields a zero cosmological constant.

Abstract

Supersymmetric theories in four dimensions with chiral superfields have very rich BRS cohomology, which gives rise to potential anomalies in theories that contain composite antichiral spinor superfields. Assuming the coefficients are non-zero, absence of the anomalies would generate new constraints on theories. In addition, the anomalies give rise to a new kind of supersymmetry breaking which is quite different from the known kinds, and also naturally yields a zero cosmological constant after supersymmetry breaking.