arXiv subjects

Quentin Lamouret

Publications and source records attributed to Quentin Lamouret.

4 recordsLinked to original sources

arXiv2026

Generalized Toric Threefolds from Scattering Diagrams and Broken Lines

We present an explicit and practical description of Generalized Toric Calabi--Yau threefolds, which are associated with five-brane webs ending on seven-branes, using scattering diagrams and broken lines, based on ideas from arXiv:2410.04714 [hep-th]. Local theta-function algebras and their transition maps give explicit affine charts for opened (resolved) webs, extending familiar toric constructions to non-toric situations. We give a physical interpretation of the deformation parameters, in the case of one or several 7-branes, and deduce behavior under Hanany-Witten transitions and changes of tesselation.

hep-th↗

arXiv2026

BPS Invariants for Generalized Toric Calabi-Yau Threefolds

We apply topological vertex techniques to Calabi-Yau threefolds dual to brane webs where several 5-branes can end on the same 7-brane. In this context, we determine how topological string partition functions transform under Hanany-Witten transitions and flops, which allows us to track curves and the associated invariants under such transitions. The contributions of parallel external branes form a universal sector invisible to the 5d SCFT; once it is removed, invariants can be transported between different geometries engineering the same theory. This yields an efficient technique to compute Gopakumar-Vafa invariants at any degree and genus. We illustrate this with local Hirzebruch and del Pezzo surfaces, including $dP_4$, whose invariants we obtain at high degree for the first time.

hep-th↗

arXiv2026

Classifying Isolated Symplectic Singularities via 3d $\mathcal{N}=4$ Coulomb Branches

Based on the Decay and Fission Conjecture, we provide a classification of unitary quivers whose 3d $\mathcal{N}=4$ Coulomb branches exhibit isolated singularities. This yields the complete list of isolated conical symplectic singularities that can arise in this way. In the process, we identify three new families of stable quivers: two giving rise to previously unknown isolated symplectic singularities, and one offering a novel realization of a known family.

hep-th↗

arXiv2024

Classification of Minimal Abelian Coulomb Branches

Obtaining the classification of 3d $\mathcal{N}=4$ quivers whose Coulomb branches have an isolated singularity is an essential step in understanding moduli spaces of vacua of supersymmetric field theories with 8 supercharges in any dimension. In this work, we derive a full classification for such Abelian quivers with arbitrary charges, and identify all possible Coulomb branch geometries as quotients of $\mathbb{H}^n$ by $\mathrm{U}(1)$ or a finite cyclic group. We give two proofs, one which uses the decay and fission algorithm, and another one relying only on explicit computations involving 3d mirror symmetry. In the process, we put forward a method for computing the 3d mirror of any $\mathrm{U}(1)^r$ gauge theory, which is sensitive to discrete gauge factors in the mirror theory. This constitutes a confirmation for the decay and fission algorithm.

hep-th↗