Results 21 to 30 of about 9,623 (179)
Hidden Sectors from Multiple Line Bundles for the B−L$B-L$ MSSM
Fortschritte der Physik, Volume 70, Issue 7-8, August 2022., 2022 Abstract We give a formalism for constructing hidden sector bundles as extensions of sums of line bundles in heterotic M‐theory. Although this construction is generic, we present it within the context of the specific Schoen threefold that leads to the physically realistic B−L$B-L$ MSSM model.
Anthony Ashmore +2 more
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The paraunitary group of a von Neumann algebra
Bulletin of the London Mathematical Society, Volume 54, Issue 4, Page 1220-1231, August 2022., 2022 Abstract It is proved that the pure paraunitary group over a von Neumann algebra coincides with the structure group of its projection lattice. The structure group of an arbitrary orthomodular lattice (OML) is a group with a right invariant lattice order, and as such it is known to be a complete invariant of the OML.
Carsten Dietzel, Wolfgang Rump
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Making Almost Commuting Matrices Commute [PDF]
Communications in Mathematical Physics, 2009 Suppose two Hermitian matrices $A,B$ almost commute ($\Vert [A,B] \Vert \leq $). Are they close to a commuting pair of Hermitian matrices, $A',B'$, with $\Vert A-A' \Vert,\Vert B-B'\Vert \leq $? A theorem of H. Lin shows that this is uniformly true, in that for every $ >0$ there exists a $ >0$, independent of the size $N$ of the matrices ...
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Journal of the London Mathematical Society, Volume 105, Issue 4, Page 2324-2372, June 2022., 2022 Abstract We classify extremal traces on the seven direct limit algebras of noncrossing partitions arising from the classification of free partition quantum groups of Banica–Speicher [5] and Weber [42]. For the infinite‐dimensional Temperley–Lieb algebra (corresponding to the quantum group ON+$O^+_N$) and the Motzkin algebra (BN+$B^+_N$), the ...
Jonas Wahl
wiley +1 more source
The dual pair Pin(2n)×osp(1|2), the Dirac equation and the Bannai–Ito algebra
Nuclear Physics B, 2018 The Bannai–Ito algebra can be defined as the centralizer of the coproduct embedding of osp(1|2) in osp(1|2)⊗n. It will be shown that it is also the commutant of a maximal Abelian subalgebra of o(2n) in a spinorial representation and an embedding of the ...
Julien Gaboriaud +3 more
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von Neumann algebras in JT gravity
Journal of High Energy Physics, 2023 We quantize JT gravity with matter on the spatial interval with two asymptotically AdS boundaries. We consider the von Neumann algebra generated by the right Hamiltonian and the gravitationally dressed matter operators on the right boundary.
David K. Kolchmeyer
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Proceedings of the American Mathematical Society, 1987 Let R R be a principal ideal ring and M k , n {M_{k,n}} the set of k × n k \times n matrices over R R . The following statments are proved: (a) If k ≤ n
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On a weighted Toeplitz operator and its commutant
International Journal of Mathematics and Mathematical Sciences, 2005 We study the structure of a class of weighted Toeplitz operators and obtain a description of the commutant of each operator in this class. We make some progress towards proving that the only operator in the commutant which is not a scalar multiple of the
Vasile Lauric
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Commutation matrices and Commutation tensors [PDF]
Linear and Multilinear Algebra, 2018 The commutation matrix was first introduced in statistics as a transposition matrix by Murnaghan in 1938. In this paper, we first investigate the commutation matrix which is employed to transform a matrix into its transpose. We then extend the concept of the commutation matrix to commutation tensor and use the commutation tensor to achieve the ...
Changqing Xu, Lingling He, Zerong Lin
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Bulletin of the Australian Mathematical Society, 2006 A ring is called a commutator ring if every element is a sum of additive commutators. In this note we give examples of such rings. In particular, we show that given any ring R, a right R-module N, and a nonempty set Ω, EndR(⌖ΩN) and EndR(ΠΩN) are commutator rings if and only if either Ω is infinite or EndR(N) is itself a commutator ring.
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