From quantum groups to Liouville and dilaton quantum gravity
Y Fan, TG Mertens - Journal of High Energy Physics, 2022 - Springer
A bstract We investigate the underlying quantum group symmetry of 2d Liouville and dilaton
gravity models, both consolidating known results and extending them to the cases …
gravity models, both consolidating known results and extending them to the cases …
Quantum exponentials for the modular double and applications in gravity models
TG Mertens - Journal of High Energy Physics, 2023 - Springer
A bstract In this note, we propose a decomposition of the quantum matrix group\({\textrm
{SL}} _q^{+}\)(2, ℝ) as (deformed) exponentiation of the quantum algebra generators of …
{SL}} _q^{+}\)(2, ℝ) as (deformed) exponentiation of the quantum algebra generators of …
3d-3d correspondence revisited
A bstract In fivebrane compactifications on 3-manifolds, we point out the importance of all flat
connections in the proper definition of the effective 3d\(\mathcal {N}= 2\) theory. The …
connections in the proper definition of the effective 3d\(\mathcal {N}= 2\) theory. The …
Large N phase transition in -deformed 2d Yang-Mills theory on the sphere
A bstract We study the partition function of a\(T\overline {T}\)-deformed version of Yang-Mills
theory on the two-sphere. We show that the Douglas-Kazakov phase transition persists for a …
theory on the two-sphere. We show that the Douglas-Kazakov phase transition persists for a …
Five-dimensional cohomological localization and squashed q-deformations of two-dimensional Yang-Mills theory
A bstract We revisit the duality between five-dimensional supersymmetric gauge theories
and deformations of two-dimensional Yang-Mills theory from a new perspective. We give a …
and deformations of two-dimensional Yang-Mills theory from a new perspective. We give a …
Generalized and (q, t)-deformed partition functions with W-representations and Nekrasov partition functions
F Liu, R Wang, J Yang, WZ Zhao - The European Physical Journal C, 2024 - Springer
We construct the generalized β and (q, t)-deformed partition functions through W
representations, where the expansions are respectively with respect to the generalized Jack …
representations, where the expansions are respectively with respect to the generalized Jack …
On irregular singularity wave functions and superconformal indices
M Buican, T Nishinaka - Journal of High Energy Physics, 2017 - Springer
A bstract We generalize, in a manifestly Weyl-invariant way, our previous expressions for
irregular singularity wave functions in two-dimensional SU (2) q-deformed Yang-Mills theory …
irregular singularity wave functions in two-dimensional SU (2) q-deformed Yang-Mills theory …
Global and local scaling limits for the Stieltjes–Wigert random matrix ensemble
PJ Forrester - Random Matrices: Theory and Applications, 2022 - World Scientific
The eigenvalue probability density function (PDF) for the Gaussian unitary ensemble has a
well-known analogy with the Boltzmann factor for a classical log-gas with pair potential− log …
well-known analogy with the Boltzmann factor for a classical log-gas with pair potential− log …
Supersymmetric U(N) Chern–Simons-Matter Theory and Phase Transitions
Abstract We study N= 2 N= 2 supersymmetric U (N) Chern–Simons with N_ f N f fundamental
and N_ f N f antifundamental chiral multiplets of mass m in the parameter space spanned by …
and N_ f N f antifundamental chiral multiplets of mass m in the parameter space spanned by …
Torus knot polynomials and susy Wilson loops
G Giasemidis, M Tierz - Letters in Mathematical Physics, 2014 - Springer
We give, using an explicit expression obtained in (Jones V, Ann Math 126: 335, 1987), a
basic hypergeometric representation of the HOMFLY polynomial of (n, m) torus knots, and …
basic hypergeometric representation of the HOMFLY polynomial of (n, m) torus knots, and …