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Automorphic instanton partition functions on Calabi-Yau threefolds

Daniel Persson (Institutionen för fundamental fysik, Matematisk fysik)
Journal of Physics: Conference Series. 6th Baltic-Nordic Workshop Algebra, Geometry, and Mathematical Physics 2010, AGMP-6; Tjarno; Sweden; 25 October 2010 through 31 October 2010 (1742-6588). Vol. 346 (2012), 1, p. Art. no. 012016.
[Konferensbidrag, refereegranskat]

We survey recent results on quantum corrections to the hypermultiplet moduli space M in type IIA/B string theory on a compact Calabi-Yau threefold X, or, equivalently, the vector multiplet moduli space in type IIB/A on X × S 1. Our main focus lies on the problem of resumming the infinite series of D-brane and NS5-brane instantons, using the mathematical machinery of automorphic forms. We review the proposal that when the theory in three dimensions exhibits an arithmetic "U-duality" symmetry G(ℤ) the total instanton partition function arises from a certain unitary automorphic representation of G, whose Fourier coefficients reproduce the BPS-degeneracies. In the case of four-dimensional N = 2 theories on ℝ × S 1 we argue that the relevant automorphic representation falls in the quaternionic discrete series of G, and that the partition function is a holomorphic section on the twistor space Z over M.



Denna post skapades 2015-05-04.
CPL Pubid: 216283

 

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Institutioner (Chalmers)

Institutionen för fundamental fysik, Matematisk fysik (2005-2013)

Ämnesområden

Matematisk fysik

Chalmers infrastruktur