Tunneling Constraints on Effective Theories of Stable de Sitter Space

TL;DR

This paper explores constraints on effective theories of stable de Sitter space, emphasizing the absence of supersymmetric vacua in the infinite Planck mass limit and proposing a revised Pyramid Scheme compatible with Cosmological SUSY Breaking.

Contribution

It introduces a revised Pyramid Scheme satisfying new constraints, linking CSB criteria with non-generic Lagrangians, and proposes a mechanism to avoid a Landau pole in the hidden sector.

Findings

Effective theories with CSB lack supersymmetric vacua as M_P -> infinity.

A revised Pyramid Scheme consistent with these constraints is proposed.

A mechanism to avoid the Landau pole in the hidden sector is introduced.

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.