We study `constrained generalized Killing (s)pinors', which characterize
supersymmetric flux compactifications of supergravity theories. Using geometric
algebra techniques, we give conceptually clear and computationally effective
methods for translating supersymmetry conditions into differential and
algebraic constraints on collections of differential forms. In particular, we
give a synthetic description of Fierz identities, which are an important
ingredient of such problems. As an application, we show how our approach can be
used to efficiently recover results pertaining to N=1 compactifications of
M-theory on eight-manifolds.Comment: 70 page

Babalic, Elena-Mirela

Coman, Ioana-Alexandra

Lazaroiu, Calin-Iuliu

English

arXiv

We study “constrained generalized Killing (s)pinors,” which characterize supersymmetric flux compactifications of supergravity theories. Using geometric algebra techniques, we give conceptually clear and computationally effective methods for translating supersymmetry conditions into differential and algebraic constraints on collections of differential forms. In particular, we give a synthetic description of Fierz identities, which are an important ingredient of such problems. As an application, we show how our approach can be used to efficiently treat compactification of M-theory on eight manifolds and prove that we recover results previously obtained in the literature

Coman-Lohi, Ioana

DESY

Geometric algebra techniques in flux compactifications

We study “constrained generalized Killing (s)pinors,” which characterize supersymmetric flux compactifications of supergravity theories. Using geometric algebra techniques, we give conceptually clear and computationally effective methods for translating supersymmetry conditions into differential and algebraic constraints on collections of differential forms. In particular, we give a synthetic description of Fierz identities, which are an important ingredient of such problems. As an application, we show how our approach can be used to efficiently treat N=1 compactification of M-theory on eight manifolds and prove that we recover results previously obtained in the literature

Calin Iuliu Lazaroiu

Elena Mirela Babalic

Ioana Alexandra Coman

Directory of Open Access Journals

Advances in High Energy Physics

Geometric Algebra Techniques in Flux Compactifications

DESY Publication Database

We study “constrained generalized Killing (s)pinors,” which characterize supersymmetric flux compactifications of supergravity theories. Using geometric algebra techniques, we give conceptually clear and computationally effective methods for translating supersymmetry conditions into differential and algebraic constraints on collections of differential forms. In particular, we give a synthetic description of Fierz identities, which are an important ingredient of such problems. As an application, we show how our approach can be used to efficiently treatN=1compactification ofM-theory on eight manifolds and prove that we recover results previously obtained in the literature.</jats:p

Crossref

Geometric algebra techniques in flux compactifications

Abstract

Similar works

Full text

Available Versions

DESY

Directory of Open Access Journals

DESY Publication Database

Crossref