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Enhanced gauge grou...
Enhanced gauge groups in N=4 topological amplitudes and Lorentzian Borcherds algebras
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Hohenegger, S. (author)
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- Persson, Daniel, 1978 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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(creator_code:org_t)
- 2011
- 2011
- English.
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In: Physical Review D - Particles, Fields, Gravitation and Cosmology. - 2470-0010 .- 2470-0029. ; 84:10
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Abstract
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- We continue our study of algebraic properties of N = 4 topological amplitudes in heterotic string theory compactified on T(2), initiated in arXiv:1102.1821. In this work we evaluate a particular one-loop amplitude for any enhanced gauge group h subset of e(8) circle plus e(8), i.e. for arbitrary choice of Wilson line moduli. We show that a certain analytic part of the result has an infinite product representation, where the product is taken over the positive roots of a Lorentzian Kac-Moody algebra g(++). The latter is obtained through double extension of the complement g = (e(8) circle plus e(8))/h. The infinite product is automorphic with respect to a finite index subgroup of the full T-duality group SO(2, 18; Z) and, through the philosophy of Borcherds-Gritsenko-Nikulin, this defines the denominator formula of a generalized Kac-Moody algebra G(g(++)), which is an 'automorphic correction' of g(++). We explicitly give the root multiplicities of G(g(++)) for a number of examples.
Subject headings
- NATURVETENSKAP -- Fysik -- Astronomi, astrofysik och kosmologi (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Astronomy, Astrophysics and Cosmology (hsv//eng)
- NATURVETENSKAP -- Fysik -- Annan fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Other Physics Topics (hsv//eng)
Keyword
- strings
- couplings
- lattices
- automorphic-forms
- theta-function identities
- curves
- bps states
- constants
- series
Publication and Content Type
- art (subject category)
- ref (subject category)
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