The higher gauge field in 11-dimensional supergravity—the C-field—is constrained by quantum effects to be a cocycle in some twisted version of differential cohomology.We argue that it should indeed be a cocycle in a certain twisted nonabelian differential cohomology.We give a simple and natural characterization of the full smooth moduli 3-stack of configurations of the C-field, the gravitational field/background, and the (auxiliary) E8-field. We show that the truncation of this moduli 3-stack to a bare 1-groupoid of field configurations reproduces the differential integralWu structures that Hopkins–Singer had shown to formalizeWitten’s argument on the nature of the C-field. We give a similarly simple and natural characterization of the moduli 2-stack of boundary C-field configurations and show that it is equivalent to the moduli 2-stack of anomaly free heterotic supergravity field configurations. Finally,we showhowto naturally encode the Horava–Witten boundary condition on the level ofmoduli 3-stacks, and refine it from a condition on 3-forms to a condition on the corresponding full differential cocycles.

The E_8 moduli 3-stack of the C-field in M-theory / Fiorenza, Domenico; H., Sati; U., Schreiber. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 333:I(2015), pp. 117-151.

The E_8 moduli 3-stack of the C-field in M-theory

FIORENZA, DOMENICO;
2015

Abstract

The higher gauge field in 11-dimensional supergravity—the C-field—is constrained by quantum effects to be a cocycle in some twisted version of differential cohomology.We argue that it should indeed be a cocycle in a certain twisted nonabelian differential cohomology.We give a simple and natural characterization of the full smooth moduli 3-stack of configurations of the C-field, the gravitational field/background, and the (auxiliary) E8-field. We show that the truncation of this moduli 3-stack to a bare 1-groupoid of field configurations reproduces the differential integralWu structures that Hopkins–Singer had shown to formalizeWitten’s argument on the nature of the C-field. We give a similarly simple and natural characterization of the moduli 2-stack of boundary C-field configurations and show that it is equivalent to the moduli 2-stack of anomaly free heterotic supergravity field configurations. Finally,we showhowto naturally encode the Horava–Witten boundary condition on the level ofmoduli 3-stacks, and refine it from a condition on 3-forms to a condition on the corresponding full differential cocycles.
File allegati a questo prodotto
File Dimensione Formato  
Fiorenza_The-E-8-moduli_2015.pdf

solo gestori archivio

Tipologia: Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 425.68 kB
Formato Adobe PDF
425.68 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Fiorenza_postprint_The-E-8-moduli_2015.pdf

accesso aperto

Tipologia: Documento in Post-print (versione successiva alla peer review e accettata per la pubblicazione)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 414.08 kB
Formato Adobe PDF
414.08 kB Adobe PDF Visualizza/Apri PDF

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11573/645613
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 19
  • ???jsp.display-item.citation.isi??? 19
social impact