Zobrazeno 1 - 10
of 115
pro vyhledávání: '"Crew, Samuel"'
Autor:
Aniceto, Inês, Crew, Samuel
We investigate geometric aspects of co-equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an algebraic curve. This perspective allows us to elucidate concepts uniqu
Externí odkaz:
http://arxiv.org/abs/2410.13690
We elucidate a holographic relationship between the enumerative geometry of the Hilbert scheme of $N$ points in the plane $\mathbb{C}^2$, with $N$ large, and the entropy of certain magnetically charged black holes with $\text{AdS}_4$ asymptotics. Spe
Externí odkaz:
http://arxiv.org/abs/2408.10313
Publikováno v:
ANZIAM J. 65 (2023) 285-307
Singularly-perturbed ordinary differential equations often exhibit Stokes' phenomenon, which describes the appearance and disappearance of oscillating exponentially small terms across curves in the complex plane known as Stokes curves. These curves o
Externí odkaz:
http://arxiv.org/abs/2312.07773
We study the partition functions of topologically twisted 3d $\mathcal{N}=2$ gauge theories on a hemisphere spacetime with boundary $HS^2 \times S^1$. We show that the partition function may be localised to either the Higgs branch or the Coulomb bran
Externí odkaz:
http://arxiv.org/abs/2306.16448
We prove resurgence properties for the Borel transform of elements in the Habiro ring which satisfy a general type of strange identity. As an application, we provide evidence for (and against) conjectures in quantum topology due to Costin and Garoufa
Externí odkaz:
http://arxiv.org/abs/2304.07001
Outside the area of exponential asymptotics, the concept of the higher-order Stokes phenomenon remains somewhat esoteric. The intention of this work is to provide several examples of relatively simple ordinary differential equations where the phenome
Externí odkaz:
http://arxiv.org/abs/2303.07866
Autor:
Crew, Samuel, Trinh, Philippe H.
In many physical problems, it is important to capture exponentially-small effects that lie beyond-all-orders of a typical asymptotic expansion; when collected, the full expansion is known as the trans-series. Applied exponential asymptotics has been
Externí odkaz:
http://arxiv.org/abs/2208.07290
We study the hemisphere partition function of a three-dimensional $\mathcal{N}=4$ supersymmetric $U(N)$ gauge theory with one adjoint and one fundamental hypermultiplet -- the ADHM quiver theory. In particular, we propose a distinguished set of UV bo
Externí odkaz:
http://arxiv.org/abs/2010.09732
We revisit the factorisation of supersymmetric partition functions of 3d $\mathcal{N}=4$ gauge theories. The building blocks are hemisphere partition functions of a class of UV $\mathcal{N}=(2,2)$ boundary conditions that mimic the presence of isolat
Externí odkaz:
http://arxiv.org/abs/2010.09741
Publikováno v:
JHEP 08 (2020) 08, 015
We study the twisted indices of $\mathcal{N}=4$ supersymmetric gauge theories in three dimensions on spatial $S^{2}$ with an angular momentum refinement. We demonstrate factorisation of the index into holomorphic blocks for the $T[SU(N)]$ theory in t
Externí odkaz:
http://arxiv.org/abs/2002.04573