Results 21 to 30 of about 314 (66)
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 +8 more
core +3 more sources
Line defect half-indices of SU(N) Chern-Simons theories
Journal of High Energy PhysicsWe 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
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
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 +34 more
core +4 more sources
Orientation reversal and the Chern-Simons natural boundary
Journal of High Energy PhysicsWe 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 +4 more
doaj +1 more source
Unitary and non-unitary $N=2$ minimal models [PDF]
, 2019 The unitary $N = 2$ superconformal minimal models have a long history in string theory and mathematical physics, while their non-unitary (and logarithmic) cousins have recently attracted interest from mathematicians.
Creutzig, Thomas +3 more
core +3 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
Identities for generalized Appell functions and the blow-up formula
, 2015 In this paper, we prove identities for a class of generalized Appell functions which are based on the $\operatorname{A}_2$ root lattice. The identities are reminiscent of periodicity relations for the classical Appell function, and are proven using only ...
Bringmann, Kathrin +2 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 +1 more
core +1 more source
Modular invariant representations of the $\mathcal{N}=2$ superconformal algebra
, 2018 We compute the modular transformation formula of the characters for a certain family of (finitely or uncountably many) simple modules over the simple $\mathcal{N}=2$ vertex operator superalgebra of central charge $c_{p,p'}=3\left(1-\frac{2p'}{p}\right),$
Sato, Ryo
core +1 more source