Search Results - "Young, Charles A. S."

Populations of Solutions to Cyclotomic Bethe Equations by Varchenko, Alexander, Young, Charles A.S.

“…We study solutions of the Bethe Ansatz equations for the cyclotomic Gaudin model of [Vicedo B., Young C.A.S., arXiv:1409.6937]. We give two interpretations of…”
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Higher current algebras, homotopy Manin triples, and a rectilinear adelic complex by Alfonsi, Luigi, Young, Charles A. S

“…The notion of a Manin triple of Lie algebras admits a generalization, to dg Lie algebras, in which various properties are required to hold only up to homotopy…”
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Affine opers and conformal affine Toda by Young, Charles A. S

“…For $\mathfrak g$ a Kac-Moody algebra of affine type, we show that there is an $\text{Aut}\, \mathcal O$-equivariant identification between…”
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Affine opers and conformal affine Toda by Young, Charles A. S.

“…For g a Kac–Moody algebra of affine type, we show that there is an AutO‐equivariant identification between FunOpg(D), the algebra of functions on the space of…”
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Cyclotomic Gaudin models with irregular singularities by Vicedo, Benoit, Young, Charles A. S

“…Generalizing the construction of the cyclotomic Gaudin algebra from arXiv:1409.6937, we define the universal cyclotomic Gaudin algebra. It is a cyclotomic…”
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Populations of Solutions to Cyclotomic Bethe Equations by Varchenko, Alexander, Young, Charles A. S

“…SIGMA 11 (2015), 091, 41 pages We study solutions of the Bethe Ansatz equations for the cyclotomic Gaudin model of [Vicedo B., Young C.A.S., arXiv:1409.6937]…”
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Vertex Lie algebras and cyclotomic coinvariants by Vicedo, Benoit, Young, Charles A. S

“…Given a vertex Lie algebra $\mathscr L$ equipped with an action by automorphisms of a cyclic group $\Gamma$, we define spaces of cyclotomic coinvariants over…”
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Cyclotomic Gaudin models: construction and Bethe ansatz by Vicedo, Benoit, Young, Charles A. S

“…Commun. Math. Phys. (2016) 343: 971 To any simple Lie algebra $\mathfrak g$ and automorphism $\sigma:\mathfrak g\to \mathfrak g$ we associate a cyclotomic…”
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Gaudin models for gl(m|n) by Mukhin, Evgeny, Vicedo, Benoit, Young, Charles A. S

“…We establish the basics of the Bethe ansatz for the Gaudin model associated to the Lie superalgebra gl(m|n). In particular, we prove the completeness of the…”
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On q,t-characters and the l-weight Jordan filtration of standard quantum affine sl2 modules by Young, Charles A. S, Zegers, Robin

“…Int Math Res Notices (2012) 2012 (10): 2179-2211 The Cartan subalgebra of the sl2 quantum affine algebra is generated by a family of mutually commuting…”
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Conformal sigma models on supercoset targets by Kagan, David, Young, Charles A.S.

“…We investigate the quantum behaviour of sigma models on coset superspaces G / H defined by Z 2 n gradings of G. We find that, whenever G has vanishing Killing…”
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Multiplicity in Supersymmetric Spin Chains by Kagan, David, Young, Charles A. S

“…We discuss a simple procedure for obtaining new integrable spin chains from old by replacing each single state of the original model by some collection of…”
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Integrable achiral D5-brane reflections and asymptotic Bethe equations by Correa, Diego H, Regelskis, Vidas, Young, Charles A. S

“…J.Phys.A44:325403,2011 We study the reflection of magnons from a D5-brane in the framework of the AdS/CFT correspondence. We consider two possible orientations…”
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On q,t-characters and the l-weight Jordan filtration of standard quantum U_q affine (sl2) modules by Young, Charles A. S., Zegers, Robin

“…The Cartan subalgebra of the sl2 quantum affine algebra is generated by a family of mutually commuting operators, responsible for the l-weight decomposition of…”
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An analog of the Feigin-Frenkel homomorphism for double loop algebras by Young, Charles A. S

“…We prove the existence of a homomorphism of vertex algebras, from the vacuum Verma module over the loop algebra of an untwisted affine algebra, whose…”
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Towards non-perturbative BV-theory via derived differential geometry by Alfonsi, Luigi, Young, Charles A. S

“…We propose a global geometric framework which allows one to encode a natural non-perturbative generalisation of usual Batalin-Vilkovisky (BV-)theory. Namely,…”
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Multiplicity in supersymmetric spin chains by Kagan, David, Young, Charles A.S.

“…We discuss a simple procedure for obtaining new integrable spin chains from old by replacing each single state of the original model by some collection of…”
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Deformation Quasi-Hopf Algebras of Non-semisimple Type from Cochain Twists by Young, C. A. S., Zegers, R.

“…Given a symmetric decomposition of a semisimple Lie algebra , we define the notion of a -contractible quantized universal enveloping algebra (QUEA): for these…”
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Quartic Hamiltonians, and higher Hamiltonians at next-to-leading order, for the affine $\mathfrak{sl}_2$ Gaudin model by Franzini, Tommaso, Young, Charles A. S

“…2023 J. Phys. A: Math. Theor. 56 105201 In this work we will use a general procedure to construct higher local Hamiltonians for the affine $\mathfrak{sl}_2$…”
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Raviolo vertex algebras, cochains and conformal blocks by Alfonsi, Luigi, Kim, Hyungrok, Young, Charles A. S

“…Raviolo vertex algebras were introduced recently by Garner and Williams in arXiv:2308.04414. Working at the level of cochain complexes, in the present paper we…”
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