Author

Stephon Alexander

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Preprint Aug 2026

Quantum de Sitter and Analytically Continued Chern Simons Theory

We give a Lefschetz thimble definition of the Chern--Simons--Kodama wavefunctional in Lorentzian self-dual gravity with positive cosmological constant. By complexifying the connection and choosing the Lefschetz thimble attached to the self-dual de~Sitter saddle, Witten's analytic continuation of Chern--Simons theory re...

Stephon Alexander, Kenneth Blakey · 0 citations

Preprint Aug 2026

Four-Fermion Condensates in Curved Spacetimes: A Functional Approach

Four-fermion interactions appear in effective descriptions of particle physics, many-body systems, and gravitational theories with fermions. Although the same local operator may enter perturbative scattering, a vacuum Nambu-Jona-Lasinio (NJL) instability, or finite-density Bardeen-Cooper-Schrieffer (BCS) pairing, these...

Stephon Alexander, Heliudson Bernardo, Jiatong Yan · 0 citations