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Integrable deformations of sigma models (2022)
Journal Article
Hoare, B. (2022). Integrable deformations of sigma models. Journal of Physics A: Mathematical and Theoretical, 55(9), Article 093001. https://doi.org/10.1088/1751-8121/ac4a1e

In this pedagogical review we introduce systematic approaches to deforming integrable two-dimensional sigma models. We use the integrable principal chiral model and the conformal Wess–Zumino–Witten model as our starting points and explore their Yang–... Read More about Integrable deformations of sigma models.

Relativistic hydrodynamics with the parity anomaly (2022)
Journal Article
Poovuttikul, N. (2022). Relativistic hydrodynamics with the parity anomaly. Journal of High Energy Physics, 2022(2), Article 18. https://doi.org/10.1007/jhep02%282022%29018

We consider the hydrodynamic regime of a 2+1 dimensions QFT with the parity anomaly. Beyond the known constraints from positivity of entropy production, we show that the anomaly inflow mechanism, from a corresponding bulk SPT phase, together with the... Read More about Relativistic hydrodynamics with the parity anomaly.

Conformal manifolds and 3d mirrors of (Dn, Dm) theories (2022)
Journal Article
Carta, F., Giacomelli, S., Mekareeya, N., & Mininno, A. (2022). Conformal manifolds and 3d mirrors of (Dn, Dm) theories. Journal of High Energy Physics, 2022(2), https://doi.org/10.1007/jhep02%282022%29014

The Argyres-Douglas (AD) theories of type (Dn, Dm), realized by type IIB geometrical engineering on a single hypersurface singularity, are studied. We analyze their conformal manifolds and propose the 3d mirror theories of all theories in this class... Read More about Conformal manifolds and 3d mirrors of (Dn, Dm) theories.

Pricing exotic options in the incomplete market: an imprecise probability method (2022)
Journal Article
He, T., Coolen, F., & Coolen-Maturi, T. (2022). Pricing exotic options in the incomplete market: an imprecise probability method. Applied Stochastic Models in Business and Industry, 38(3), 422-440. https://doi.org/10.1002/asmb.2668

This paper considers a novel exotic option pricing method for incomplete markets. Nonparametric Predictive Inference (NPI) is applied to the option pricing procedure based on the binomial tree model allowing the method to evaluate exotic options with... Read More about Pricing exotic options in the incomplete market: an imprecise probability method.

On the eigenvalues of the Robin Laplacian with a complex parameter (2022)
Journal Article
Boegli, S., Kennedy, J. B., & Lang, R. (2022). On the eigenvalues of the Robin Laplacian with a complex parameter. Analysis and Mathematical Physics, 12(1), Article 39. https://doi.org/10.1007/s13324-022-00646-0

We study the spectrum of the Robin Laplacian with a complex Robin parameter α on a bounded Lipschitz domain Ω. We start by establishing a number of properties of the corresponding operator, such as generation properties, analytic dependence of the ei... Read More about On the eigenvalues of the Robin Laplacian with a complex parameter.

Poincaré series for modular graph forms at depth two. Part II. Iterated integrals of cusp forms (2022)
Journal Article
Dorigoni, D., Kleinschmidt, A., & Schlotterer, O. (2022). Poincaré series for modular graph forms at depth two. Part II. Iterated integrals of cusp forms. Journal of High Energy Physics, 2022(1), Article 134. https://doi.org/10.1007/jhep01%282022%29134

We continue the analysis of modular invariant functions, subject to inhomogeneous Laplace eigenvalue equations, that were determined in terms of Poincaré series in a companion paper. The source term of the Laplace equation is a product of (derivative... Read More about Poincaré series for modular graph forms at depth two. Part II. Iterated integrals of cusp forms.

Poincaré series for modular graph forms at depth two. Part I. Seeds and Laplace systems (2022)
Journal Article
Dorigoni, D., Kleinschmidt, A., & Schlotterer, O. (2022). Poincaré series for modular graph forms at depth two. Part I. Seeds and Laplace systems. Journal of High Energy Physics, 2022, Article 133. https://doi.org/10.1007/jhep01%282022%29133

We derive new Poincaré-series representations for infinite families of non-holomorphic modular invariant functions that include modular graph forms as they appear in the low-energy expansion of closed-string scattering amplitudes at genus one. The Po... Read More about Poincaré series for modular graph forms at depth two. Part I. Seeds and Laplace systems.

The gaugino condensate from asymmetric four-torus with twists (2022)
Journal Article
Anber, M. M., & Poppitz, E. (2022). The gaugino condensate from asymmetric four-torus with twists. Journal of High Energy Physics, 2023, Article 118 (2023). https://doi.org/10.1007/jhep01%282023%29118

We calculate the gaugino condensate in SU(2) super Yang-Mills theory on an asymmetric four-torus 𝕋4 with ’t Hooft’s twisted boundary conditions. The 𝕋4 asymmetry is controlled by a dimensionless detuning parameter ∆, proportional to L3L4 − L1L2, with... Read More about The gaugino condensate from asymmetric four-torus with twists.

Boundary metrics on soliton moduli spaces (2022)
Journal Article
Sutcliffe, P. (2022). Boundary metrics on soliton moduli spaces. Journal of High Energy Physics, 2022(1), Article 118. https://doi.org/10.1007/jhep01%282022%29118

The geodesic approximation is a powerful method for studying the dynamics of BPS solitons. However, there are systems, such as BPS monopoles in three-dimensional hyperbolic space, where this approach is not applicable because the moduli space metric... Read More about Boundary metrics on soliton moduli spaces.