Sökning: onr:"swepub:oai:research.chalmers.se:d9da6074-d3da-4f33-9211-b89ce3ae2cae" >
The automorphic NS5...
The automorphic NS5-brane
-
- Persson, Daniel, 1978 (författare)
- Chalmers tekniska högskola,Chalmers University of Technology
-
Pioline, Boris (författare)
-
(creator_code:org_t)
- 2009
- 2009
- Engelska.
-
Ingår i: Preprint: arXiv:0902.3274 [hep-th].
- Relaterad länk:
-
https://research.cha...
Abstract
Ämnesord
Stäng
- Understanding the implications of SL(2,Z) S-duality for the hypermultiplet moduli space of type II string theories has led to much progress recently in uncovering D-instanton contributions. In this work, we suggest that the extended duality group SL(3,Z), which includes both S-duality and Ehlers symmetry, may determine the contributions of D5 and NS5-branes. We support this claim by automorphizing the perturbative corrections to the "extended universal hypermultiplet", a five-dimensional universal SO(3) SL(3,R) subspace which includes the string coupling, overall volume, Ramond zero-form and six-form and NS axion. Using the non-Abelian Fourier expansion of the Eisenstein series attached to the principal series of SL(3,R), first worked out by Vinogradov and Takhtajan 30 years ago, we extract the contributions of D(-1)-D5 and NS5-brane instantons, corresponding to the Abelian and non-Abelian coefficients, respectively. In particular, the contributions of k NS5-branes can be summarized into a vector of wave functions \Psi_{k,l}, l=0... k-1, as expected on general grounds. We also point out that for more general models with a symmetric moduli space K G, the minimal theta series of G generates an infinite series of exponential corrections of the form required for "small" D(-1)-D1-D3-D5-NS5 instanton bound states. As a mathematical spin-off, we make contact with earlier results in the literature about the spherical vectors for the principal series of SL(3,R) and for minimal representations.
Ämnesord
- NATURVETENSKAP -- Fysik -- Subatomär fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Subatomic Physics (hsv//eng)
Publikations- och innehållstyp
- art (ämneskategori)
- vet (ämneskategori)
Hitta via bibliotek
Till lärosätets databas