Mass Gaps and Braneworlds -- In Memory of Peter Freund

Abstract

Remembering the foundational contributions of Peter Freund to supergravity, and especially to the problems of dimensional compactification, reduction is considered with a non-compact space transverse to the lower dimensional theory. The known problem of a continuum of Kaluza-Klein states is avoided here by the occurrence of a mass gap between a single normalizable zero-eigenvalue transverse wavefunction and the edge of the transverse state continuum. This style of reduction does not yield a formally consistent truncation to the lower dimensional theory, so developing the lower-dimensional effective theory requires integrating out the Kaluza-Klein states lying above the mass gap.

23 pages, latex; submitted to the Peter Freund Memorial Volume to be published in J. Phys. A: Math. Theor

References in corpus (4)

• Spin-2 spectrum of defect theories
• Braneworld localisation in hyperbolic spacetime
• D=7 / D=6 Heterotic Supergravity with Gauged R-Symmetry
• Field redefinition's help in constructing non-abelian gauge theories

Cited by in corpus (4)

• Revisiting Dudas-Mourad compactifications
• Dark energy, Ricci-nonflat spaces, and the Swampland
• Covert Symmetry Breaking
• A Passion for Theoretical Physics: a special issue in memory of Peter G. O. Freund