2014
DOI: 10.1007/s00220-014-2228-1
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The E 8 Moduli 3-Stack of the C-Field in M-Theory

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-g… Show more

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Cited by 34 publications
(51 citation statements)
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“…We prove that the topological charge structure of fundamental super M‐branes produces twisted K‐theory charges of Type IIA D‐branes under double dimensional reduction when all torsion effects are ignored. Our result is based upon Sati's conjecture that the topological M‐brane charge is classified by degree‐4 cohomotopy, and our result in turn contributes to a growing body of evidence for this conjecture (see []).…”
supporting
confidence: 54%
“…We prove that the topological charge structure of fundamental super M‐branes produces twisted K‐theory charges of Type IIA D‐branes under double dimensional reduction when all torsion effects are ignored. Our result is based upon Sati's conjecture that the topological M‐brane charge is classified by degree‐4 cohomotopy, and our result in turn contributes to a growing body of evidence for this conjecture (see []).…”
supporting
confidence: 54%
“…If here x,y are higher connections on higher bundles (see []), then this precisely reproduces the familiar notion of higher gauge transformation between higher gauge fields (see [] for review); for example of the combined gauge field and B‐field in heterotic string theory, or the C‐field in 11d supergravity …”
Section: Super Homotopy Theorymentioning
confidence: 99%
“…Here we review how this operation discovers, that rationally : i)the unified F1/D p ‐brane charge is in twisted K‐theory [, Sec. 4] ii)the unified M2/M5‐brane cocycle is in degree‐4 Cohomotopy cohomology theory …”
Section: Brane Charge Quantizationmentioning
confidence: 99%
See 1 more Smart Citation
“…The above process allows us to do so at the level of stacks, where all the higher geometric and gauge structures are carried along. A stack perspective on this can be found in [19].…”
Section: Jhep03(2017)087mentioning
confidence: 99%