L
Luigi Cantini
Researcher at Cergy-Pontoise University
Publications - 48
Citations - 868
Luigi Cantini is an academic researcher from Cergy-Pontoise University. The author has contributed to research in topics: Conjecture & Quantization (physics). The author has an hindex of 17, co-authored 47 publications receiving 809 citations. Previous affiliations of Luigi Cantini include École Normale Supérieure & Queen Mary University of London.
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Nonabelian Bundle Gerbes, Their Differential Geometry and Gauge Theory
TL;DR: In this paper, the authors present nonabelian bundle gerbes as a higher version of principal bundles and study connection, curving, curvature and gauge transformations both in a global coordinate independent formalism and in local coordinates.
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Proof of the Razumov-Stroganov conjecture
Luigi Cantini,Andrea Sportiello +1 more
TL;DR: In this paper, the ground-state coefficients in the periodic even-length dense O(1) loop model were shown to correspond to the enumeration of fully-packed loop configurations on the square, with alternating boundary conditions, refined according to the link pattern for the boundary points.
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Matrix product formula for Macdonald polynomials
TL;DR: In this paper, a matrix product formula for symmetric Macdonald polynomials is derived for particle configurations of the multi-species asymmetric exclusion process, and form a basis of the ring of polynomial in n variables whose elements are indexed by compositions.
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Proof of Polyakov conjecture for general elliptic singularities
TL;DR: In this article, a proof of Polyakov conjecture about the accessory parameters of SU(1, 1) Riemann-Hilbert problem for general elliptic singularities on the riemann sphere is given.
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Algebraic Bethe ansatz for the two species ASEP with different hopping rates
TL;DR: In this article, the integrability of an ASEP with two species of particles and different hopping rates is proved, and the nested algebraic Bethe ansatz is used to derive the Bethe equations for states with arbitrary numbers of particles of each type, generalizing the results of Derrida and Evans.