The quantization problem in Scherk-Schwarz compactifications - Archive ouverte HAL Access content directly
Journal Articles Physical Review D Year : 2013

The quantization problem in Scherk-Schwarz compactifications

(1) , (1) , (1) , (2)
1
2

Abstract

We re-examine the quantization of structure constants, or equivalently the choice of lattice in the so-called flat group reductions, introduced originally by Scherk and Schwarz. Depending on this choice, the vacuum either breaks supersymmetry and lifts certain moduli, or preserves all supercharges and is identical to the one obtained from the torus reduction. Nonetheless the low-energy effective theory proposed originally by Scherk and Schwarz is a gauged supergravity that describes supersymmetry breaking and moduli lifting for all values of the structure constants. When the vacuum does not break supersymmetry, such a description turns out to be an artifact of the consistent truncation to left-invariant forms as illustrated for the example of ISO(2). We furthermore discuss the construction of flat groups in d dimensions and find that the Scherk--Schwarz algorithm is exhaustive. A classification of flat groups up to six dimensions and a discussion of all possible lattices is presented.
Fichier principal
Vignette du fichier
1305.0785v3.pdf (193.96 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

cea-01310370 , version 1 (02-05-2016)

Identifiers

Cite

Mariana Graña, Ruben Minasian, Hagen Triendl, Thomas van Riet. The quantization problem in Scherk-Schwarz compactifications. Physical Review D, 2013, 88 (8), pp.085018. ⟨10.1103/PhysRevD.88.085018⟩. ⟨cea-01310370⟩
83 View
202 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More