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The Infinitesimal M...
The Infinitesimal Moduli Space of Heterotic G2 Systems
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- de la Ossa, Xenia (författare)
- Univ Oxford, Math Inst, Andrew Wiles Bldg,Woodstock Rd, Oxford OX2 6GG, England
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- Larfors, Magdalena, 1978- (författare)
- Uppsala universitet,Teoretisk fysik
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- Svanes, Eirik E. (författare)
- Sorbonne Univ, UPMC Paris 06, LPTHE, UMR 7589, F-75005 Paris, France;Sorbonne Univ, Inst Lagrange Paris, 98 Bis Bd Arago, F-75014 Paris, France
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(creator_code:org_t)
- 2017-11-15
- 2018
- Engelska.
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Ingår i: Communications in Mathematical Physics. - : Springer Science and Business Media LLC. - 0010-3616 .- 1432-0916. ; 360:2, s. 727-775
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Abstract
Ämnesord
Stäng
- Heterotic string compactifications on integrable G(2) structure manifolds Y with instanton bundles (V, A), (TY, (theta) over tilde )yield supersymmetric three-dimensional vacua that are of interest in physics. In this paper, we define a covariant exterior derivative D and show that it is equivalent to a heterotic G(2) system encoding the geometry of the heterotic string compactifications. This operator D acts on a bundle Q = T*Y circle plus End (V) circle plus End (TY) and satisfies a nilpotency condition (sic)(2) = 0, for an appropriate projection of D. Furthermore, we determine the infinitesimal moduli space of these systems and show that it corresponds to the finite-dimensional cohomology group (sic)(1)((sic)) (Q). We comment on the similarities and differences of our result with Atiyah's well-known analysis of deformations of holmorphic vector bundles over complex manifolds. Our analysis leads to results that are of relevance to all orders in the alpha' expansion.
Ämnesord
- NATURVETENSKAP -- Fysik -- Subatomär fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Subatomic Physics (hsv//eng)
- NATURVETENSKAP -- Fysik -- Annan fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Other Physics Topics (hsv//eng)
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