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Theorie
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Physics at the LHC and beyond
<pre>
The annual DESY Theory Workshop is organized by the elementary particle physics community in Germany. The focus is on a topical subject in theoretical particle physics and related fields. More details can be found on the <a href="http://th-workshop2015.desy.de">conference homepage</a>, http://th-workshop2015.desy.de</pre>
<br />
False
DESY Hamburg
Notkestrasse 85, 22607 Hamburg
Main Auditorium
2015-09-29T13:00:00
2015-10-02T13:55:00
2015-02-09T12:58:28
2018-07-11T12:41:34
Europe/Berlin
Dr.
Siegen University
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103
false
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Topological strings and Siegel modular forms
Mr.
University of Bonn
b4ac97c3d773d981faa3b45722f49701
Mr.
University of Bonn
b4ac97c3d773d981faa3b45722f49701
Prof.
University of Bonn
cc2e5d13d44e2472800e3792f739b5d5
Dr.
University of Pennsylvania
8e5f9bf05f04ec2f2f392a749720db80
Mr.
Chalmers Technical University
171ba4b3a4b23bedf54590d39eb51928
DESY Hamburg
None
Seminar room 1
2015-09-30T16:35:00
2015-09-30T16:50:00
00:15
The topological string theory partition function captures non-trivial invariants of Calabi-Yau threefolds. In general, target space symmetries acting on the cohomology induce an automorphic structure on the free energies. For non-compact geometries with spectral curve of genus one this allowed to re-express the physical constraints in terms of modular forms. The construction, however, relied on a certain quasi modular object, the second Eisenstein series. We generalise this procedure to spectral curves of genus two and show that the appropriate automorphic objects are Siegel modular forms. In particular, we propose an analogue for the second Eisenstein series and a generalised Ramanujan identity both of which have not previously been described in the mathematical literature.
On this class of geometries we provide a straightforward recipe for solving the topological string.
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