Results 11 to 20 of about 9,065 (122)

Indefinite theta functions and black hole partition functions [PDF]

, 2014
We explore various aspects of supersymmetric black hole partition functions in four-dimensional toroidally compactified heterotic string theory. These functions suffer from divergences owing to the hyperbolic nature of the charge lattice in this theory ...
Cardoso, Gabriel Lopes, Cirafici, Michele, Jorge, Rogerio, Nampuri, Suresh   +3 more
core   +1 more source

Squashed toric manifolds and higher depth mock modular forms

Journal of High Energy Physics, 2019
Squashed toric sigma models are a class of sigma models whose target space is a toric manifold in which the torus fibration is squashed away from the fixed points so as to produce a neck-like region.
Rajesh Kumar Gupta, Sameer Murthy, Caner Nazaroglu   +2 more
doaj   +1 more source

D3-instantons, Mock Theta Series and Twistors [PDF]

, 2012
The D-instanton corrected hypermultiplet moduli space of type II string theory compactified on a Calabi-Yau threefold is known in the type IIA picture to be determined in terms of the generalized Donaldson-Thomas invariants, through a twistorial ...
A Dabholkar, A Haydys, A Karlhede, A Neitzke, A Swann, B Haghighat, B Pioline, B Wit de, B Wit de, Boris Pioline, C LeBrun, C Vafa, D Gaiotto, D Gaiotto, D Gaiotto, D Robles-Llana, D Robles-Llana, D Robles-Llana, DR Morrison, ER Sharpe, F Denef, F Saueressig, H Günther, I Antoniadis, I Antoniadis, J Bagger, J Boer de, J Boer de, J Boer de, J Manschot, J Manschot, J Manschot, J Manschot, J Manschot, J Troost, Jan Manschot, JM Maldacena, K Becker, K Becker, L Bao, L Göttsche, L Göttsche, M Bodner, M-F Vignéras, MR Douglas, NJ Hitchin, R Böhm, R Minasian, S Alexandrov, S Alexandrov, S Alexandrov, S Alexandrov, S Alexandrov, S Alexandrov, S Alexandrov, S Alexandrov, S Alexandrov, S Alexandrov, S Alexandrov, S Alexandrov, S Alexandrov, S Cecotti, S Ferrara, S Hosono, Sergei Alexandrov, SM Salamon, U Lindström   +66 more
core   +4 more sources

Indefinite theta functions for counting attractor backgrounds [PDF]

, 2014
In this note, we employ indefinite theta functions to regularize canonical partition functions for single-center dyonic BPS black holes. These partition functions count dyonic degeneracies in the Hilbert space of four-dimensional toroidally compactified ...
Cardoso, Gabriel Lopes, Cirafici, Michele, Nampuri, Suresh   +2 more
core   +3 more sources

Transfer of K-types on local theta lifts of characters and unitary lowest weight modules [PDF]

, 2012
In this paper we study representations of the indefinite orthogonal group O(n,m) which are local theta lifts of one dimensional characters or unitary lowest weight modules of the double covers of the symplectic groups. We apply the transfer of K-types on
A. Borel, A. Knapp, A. Knapp, A. Paul, B. H. Gross, C.-B. Zhu, C.-B. Zhu, C.-B. Zhu, D. A. Vogan, D. Vogan, H. Y. Loke, H. Y. Loke, Hung Yean Loke, J. E. Humphreys, J.-S. Li, Jia-Jun Ma, M. Kashiwara, N. R. Wallach, N. R. Wallach, N. R. Wallach, P. E. Trapa, R. Goodman, R. Howe, R. Howe, R. Howe, S. T. Lee, T. Enright, T. Kobayashi, T. Kobayashi, T. Przebinda, U-Liang Tang, W. Schmid   +31 more
core   +1 more source

Indefinite theta series of signature (1,1) from the point of view of homological mirror symmetry

Advances in Mathematics, 2000
We apply the homological mirror symmetry for elliptic curves to the study of indefinite theta series. We prove that every such series corresponding to a quadratic form of signature (1,1) can be expressed in terms of theta series associated with split quadratic forms and the usual theta series.
  +6 more sources

Equidistribution of Heegner Points and Ternary Quadratic Forms [PDF]

, 2009
We prove new equidistribution results for Galois orbits of Heegner points with respect to reduction maps at inert primes. The arguments are based on two different techniques: primitive representations of integers by quadratic forms and distribution ...
B. Gross, B.A. Cipra, Ben Kane, C. Cornut, C. Cornut, C. Siegel, D. Cox, Dimitar Jetchev, G. Harcos, H. Iwaniec, J. Hanke, J. Hanke, J. Oesterlé, K.A. Ribet, M. Deuring, M. Ratner, N. Elkies, P. Deligne, P. Michel, P. Parent, R. Schulze-Pillot, S. Niwa, V. Vatsal, V. Vatsal, W. Duke, W. Duke, W. Duke, Y.Z. Flicker   +27 more
core   +4 more sources

The Bailey chain and mock theta functions

, 2012
Standard applications of the Bailey chain preserve mixed mock modularity but not mock modularity. After illustrating this with some examples, we show how to use a change of base in Bailey pairs due to Bressoud, Ismail and Stanton to explicitly construct ...
Alfes, Andrews, Andrews, Andrews, Andrews, Andrews, Berkovich, Berndt, Bressoud, Bringmann, Bringmann, Bringmann, Bringmann, Bringmann, Choi, Choi, Choi, Choi, Choi, Fulman, Garvan, Gordon, Gordon, Jeremy Lovejoy, Kang, McIntosh, Mellit, Mortenson, Ono, Robert Osburn, Slater, Slater, Stanton, Watson, Zagier   +34 more
core   +4 more sources

Donaldson-Witten theory and indefinite theta functions

, 2017
We consider partition functions with insertions of surface operators of topologically twisted N=2, SU(2) supersymmetric Yang-Mills theory, or Donaldson-Witten theory for short, on a four-manifold.
Korpas, Georgios, Manschot, Jan
core   +1 more source

Theta-functions for indefinite polarizations

, 2003
We propose a generalization of the classical theta function to higher cohomology of the polarization line bundle on a family of complex tori with positive index.
Bershadsky M., Fukaya Kenji, Herbert Lange Christina Birkenhake, Ilia Zharkov, Mumford David, Nigel, Polishchuk Alexander   +6 more
core   +2 more sources