Tunneling Constraints on Effective Theories of Stable de Sitter Space

Abstract

We argue that effective field theories compatible with the idea of Cosmological SUSY Breaking, can have no supersymmetric vacuum states in the M_P -> infinity limit. We introduce a revised version of the Pyramid Scheme, which satisfies this criterion. Combining the criteria for CSB with results of Nelson and Seiberg, any such Lagrangian is non-generic, but we argue that this is plausible in the context of CSB, where R-violating terms in the Lagrangian come from interactions with the horizon, rather than integrating out short distance degrees of freedom. We also point out a Landau pole in the hidden sector gauge group of the Pyramid Scheme, and propose an unique mechanism for avoiding it.