Results 21 to 30 of about 318 (58)

On two 10th order mock theta identities

, 2013
We give short proofs of conjectural identities due to Gordon and McIntosh involving two 10th order mock theta functions.Comment: 5 pages, to appear in the Ramanujan ...
A. Folsom, B. Gordon, D. Hickerson, G.E. Andrews, Jeremy Lovejoy, R.J. McIntosh, Robert Osburn, S. Ramanujan, Y.-S. Choi   +8 more
core   +3 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

The non-compact elliptic genus: mock or modular [PDF]

, 2010
We analyze various perspectives on the elliptic genus of non-compact supersymmetric coset conformal field theories with central charge larger than three.
A Cappelli, A Giveon, A Hanany, A Pakman, AN Schellekens, AN Schellekens, AN Schellekens, C Vafa, D Gepner, D Israel, D Israel, E Witten, E Witten, E Witten, EJ Martinec, I Bakas, J Polchinski, J Wess, Jan Troost, JM Maldacena, K Hori, K Miki, K Sfetsos, M Henningson, P Francesco Di, P Vecchia Di, P Vecchia Di, P Vecchia Di, PA Griffin, R Benichou, S Murthy, T Eguchi, T Eguchi, T Eguchi, T Eguchi, T Eguchi, T Eguchi, T Kawai, VK Dobrev, W Boucher   +39 more
core   +2 more sources

Line defect half-indices of SU(N) Chern-Simons theories

Journal of High Energy Physics
We study the Wilson line defect half-indices of 3d N $$ \mathcal{N} $$ = 2 supersymmetric SU(N) Chern-Simons theories of level k ≤ – N with Neumann boundary conditions for the gauge fields, together with 2d Fermi multiplets and fundamental 3d chiral ...
Tadashi Okazaki, Douglas J. Smith
doaj   +1 more source

Orientation reversal and the Chern-Simons natural boundary

Journal of High Energy Physics
We show that the fundamental property of preservation of relations, underlying resurgent analysis, provides a new perspective on crossing a natural boundary, an important general problem in theoretical and mathematical physics.
Griffen Adams, Ovidiu Costin, Gerald V. Dunne, Sergei Gukov, Oğuz Öner   +4 more
doaj   +1 more source

A double-sum Kronecker-type identity

, 2016
We prove a double-sum analog of an identity known to Kronecker and then express it in terms of functions studied by Appell and Kronecker's student Lerch, in so doing we show that the double-sum analog is of mixed mock modular form.
Mortenson, Eric T.
core   +1 more source

A holomorphic anomaly in the elliptic genus [PDF]

, 2014
We consider a class of gauged linear sigma models (GLSMs) in two dimensions that flow to non-compact (2, 2) superconformal field theories in the infra-red, a prototype of which is the SL(2, R)/U(1) (cigar) coset.
Sameer Murthy
core   +2 more sources

Torus knots and quantum modular forms [PDF]

, 2014
In this paper we compute a $q$-hypergeometric expression for the cyclotomic expansion of the colored Jones polynomial for the left-handed torus knot $(2,2t+1)$ and use this to define a family of quantum modular forms which are dual to the generalized ...
Hikami, Kazuhiro, Lovejoy, Jeremy
core   +2 more sources

Mock Jacobi forms in basic hypergeometric series

, 2008
We show that some $q$-series such as universal mock theta functions are linear sums of theta quotients and mock Jacobi forms of weight 1/2, which become holomorphic parts of real analytic modular forms when they are restricted to torsion points and ...
Andrews, Eichler, Gasper, Soon-Yi Kang, Zwegers   +4 more
core   +1 more source

Properties of dyons in ${\cal N}=4$ theories at small charges

, 2019
We study three properties of $1/4$ BPS dyons at small charges in string compactifications which preserve ${\cal N}=4$ supersymmetry. We evaluate the non-trivial constant present in the one loop statistical entropy for ${\cal N}=4$ compactifications of ...
Chattopadhyaya, Aradhita, David, Justin R.   +1 more
core   +1 more source