Representations of orthosymplectic superalgebras. II. Young diagrams and weight space techniques

Farmer, R J; Jarvis, Peter

doi:10.1088/0305-4470/17/12/010

Cited by 34 publications

(15 citation statements)

References 14 publications

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“…Nofe added in proof: After completion of this work, we found the paper of Farmer and Jarvis [15] which deals with tensor representation of OSp(M12n); their methods and ours are closely related.…”

Section: Acknowledgmentsmentioning

confidence: 96%

Multi-Subband Effects on Performance Limit of Nanoscale MOSFETs

Natori

Shimizu

Ikenobe

2003

Jpn. J. Appl. Phys.

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Section: Acknowledgmentsmentioning

confidence: 96%

Multi-Subband Effects on Performance Limit of Nanoscale MOSFETs

Natori

Shimizu

Ikenobe

2003

Jpn. J. Appl. Phys.

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“…It is also easy to see that all the "small" representations are atypical, and all the spinorial representations are typical. Non-spin highest weights can be conveniently encoded in terms of hook partitions [29,30,31]. These are simply Young diagrams which are constrained to fit inside a hook with sides of width n and m, as shown in fig.…”

Section: More On the Orthosymplectic Lie Superalgebrasmentioning

confidence: 99%

Branes and Supergroups

Mikhaylov

Witten

2015

Commun. Math. Phys.

135

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Extending previous work that involved D3-branes ending on a fivebrane with θ YM = 0, we consider a similar two-sided problem. This construction, in case the fivebrane is of NS type, is associated to the three-dimensional Chern-Simons theory of a supergroup U(m|n) or OSp(m|2n) rather than an ordinary Lie group as in the one-sided case. By S-duality, we deduce a dual magnetic description of the supergroup Chern-Simons theory; a slightly different duality, in the orthosymplectic case, leads to a strong-weak coupling duality between certain supergroup Chern-Simons theories on R 3 ; and a further T -duality leads to a version of Khovanov homology for supergroups. Some cases of these statements are known in the literature. We analyze how these dualities act on line and surface operators.

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“…In this section, we briefly mention the Lie superalgebras B(r|s) and D(r|s) (see for example [1,39,40,41,42,43]).…”

Section: Lie Superalgebrasmentioning

confidence: 99%

Analytic Bethe ansatz and functional relations related to tensor-like representations of type-II Lie superalgebrasB(r|s) andD(r|s)

Tsuboi

1999

J. Phys. A: Math. Gen.

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An analytic Bethe ansatz is carried out related to tensor-like representations of the type II Lie superalgebras B(r|s) = osp(2r + 1|2s)We present eigenvalue formulae of transfer matrices in dressed vacuum forms labeled by Young (super) diagrams. A class of transfer matrix functional relations (T -system) is discussed. In particular for B(0|s) = osp(1|2s) (s ∈ Z ≥1 ) case, a complete set of functional relations is proposed by using duality among dressed vacuum forms.

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Representations of orthosymplectic superalgebras. II. Young diagrams and weight space techniques

Cited by 34 publications

References 14 publications

Multi-Subband Effects on Performance Limit of Nanoscale MOSFETs

Multi-Subband Effects on Performance Limit of Nanoscale MOSFETs

Branes and Supergroups

Analytic Bethe ansatz and functional relations related to tensor-like representations of type-II Lie superalgebrasB(r|s) andD(r|s)

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