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Wronskian indices and rational conformal field theories (2021)
Journal Article
Das, A., Gowdigere, C. N., & Santara, J. (2021). Wronskian indices and rational conformal field theories. Journal of High Energy Physics, 2021(4), Article 294. https://doi.org/10.1007/jhep04%282021%29294

The classification scheme for rational conformal field theories, given by the Mathur-Mukhi-Sen (MMS) program, identifies a rational conformal field theory by two numbers: (n, l). n is the number of characters of the rational conformal field theory. T... Read More about Wronskian indices and rational conformal field theories.

Boundaries, Vermas and factorisation (2021)
Journal Article
Bullimore, M., Crew, S., & Zhang, D. (2021). Boundaries, Vermas and factorisation. Journal of High Energy Physics, 2021(4), Article 263. https://doi.org/10.1007/jhep04%282021%29263

We revisit the factorisation of supersymmetric partition functions of 3d N = 4 gauge theories. The building blocks are hemisphere partition functions of a class of UV N = (2, 2) boundary conditions that mimic the presence of isolated vacua at infinit... Read More about Boundaries, Vermas and factorisation.

Towards the Virasoro-Shapiro amplitude in AdS5×S5 (2021)
Journal Article
Abl, T., Heslop, P., & Lipstein, A. E. (2021). Towards the Virasoro-Shapiro amplitude in AdS5×S5. Journal of High Energy Physics, 2021(4), Article 237. https://doi.org/10.1007/jhep04%282021%29237

We propose a systematic procedure for obtaining all single trace 1/2-BPS correlators in N = 4 super Yang-Mills corresponding to the four-point tree-level amplitude for type IIB string theory in AdS5 × S5. The underlying idea is to compute generalised... Read More about Towards the Virasoro-Shapiro amplitude in AdS5×S5.

Thermodynamics of Many Black Holes (2021)
Journal Article
Gregory, R., Lim, Z. L., & Scoins, A. (2021). Thermodynamics of Many Black Holes. Frontiers in Physics, 9, Article 666041. https://doi.org/10.3389/fphy.2021.666041

We discuss the thermodynamics of an array of collinear black holes which may be accelerating. We prove a general First Law, including variations in the tensions of strings linking and accelerating the black holes. We analyse the implications of the F... Read More about Thermodynamics of Many Black Holes.

Novel Representation of an Integrated Correlator in N=4 Supersymmetric Yang-Mills Theory (2021)
Journal Article
Dorigoni, D., Green, M. B., & Wen, C. (2021). Novel Representation of an Integrated Correlator in N=4 Supersymmetric Yang-Mills Theory. Physical Review Letters, 126(16), Article 161601. https://doi.org/10.1103/physrevlett.126.161601

An integrated correlator of four superconformal stress-tensor primaries of N = 4 supersymmetric S U ( N ) Yang-Mills theory (SYM), originally obtained by localization, is reexpressed as a two-dimensional lattice sum that is manifestly invariant under... Read More about Novel Representation of an Integrated Correlator in N=4 Supersymmetric Yang-Mills Theory.

Chaotic Delone Sets (2021)
Journal Article
Alvarez Lopez, J. A., Barral Lijo, R., Hunton, J., Nozawa, H., & Parker, J. R. (2021). Chaotic Delone Sets. Discrete and Continuous Dynamical Systems - Series A, 41(8), 3781-3796. https://doi.org/10.3934/dcds.2021016

We present a definition of chaotic Delone set and establish the genericity of chaos in the space of (ϵ,δ)-Delone sets for ϵ≥δ. We also present a hyperbolic analogue of the cut-and-project method that naturally produces examples of chaotic Delone sets... Read More about Chaotic Delone Sets.

Genetic drift from the out-of-Africa bottleneck leads to biased estimation of genetic architecture and selection (2021)
Journal Article
Ashraf, B., & Lawson, D. J. (2021). Genetic drift from the out-of-Africa bottleneck leads to biased estimation of genetic architecture and selection. European Journal of Human Genetics, 29(10), 1549-1556. https://doi.org/10.1038/s41431-021-00873-2

Most complex traits evolved in the ancestors of all modern humans and have been under negative or balancing selection to maintain the distribution of phenotypes observed today. Yet all large studies mapping genomes to complex traits occur in populati... Read More about Genetic drift from the out-of-Africa bottleneck leads to biased estimation of genetic architecture and selection.

(1+𝜀) moments suffice to characterise the GFF (2021)
Journal Article
Berestycki, N., Powell, E., & Ray, G. (2021). (1+𝜀) moments suffice to characterise the GFF. Electronic Journal of Probability, 26(44), 1-25. https://doi.org/10.1214/20-ejp566

We show that there is “no stable free field of index α ∈ ( 1 , 2 ) ”, in the following sense. It was proved in [4] that subject to a fourth moment assumption, any random generalised function on a domain D of the plane, satisfying conformal invariance... Read More about (1+𝜀) moments suffice to characterise the GFF.

Cluster algebras from surfaces and extended affine Weyl groups (2021)
Journal Article
Felikson, A., Lawson, J., Shapiro, M., & Tumarkin, P. (2021). Cluster algebras from surfaces and extended affine Weyl groups. Transformation Groups, 26(2), 501-535. https://doi.org/10.1007/s00031-021-09647-y

We characterize mutation-finite cluster algebras of rank at least 3 using positive semi-definite quadratic forms. In particular, we associate with every unpunctured bordered surface a positive semi-definite quadratic space V , and with every triangul... Read More about Cluster algebras from surfaces and extended affine Weyl groups.