Zobrazeno 1 - 10 of 57 pro vyhledávání: '"Joseph Ben Geloun"'
1
Akademický článek
Counting $$U(N)^{\otimes r}\otimes O(N)^{\otimes q}$$ U ( N ) ⊗ r ⊗ O ( N ) ⊗ q invariants and tensor model observables
Autor: Remi Cocou Avohou, Joseph Ben Geloun, Reiko Toriumi
Publikováno v: European Physical Journal C: Particles and Fields, Vol 84, Iss 8, Pp 1-27 (2024)
Abstract $$U(N)^{\otimes r} \otimes O(N)^{\otimes q}$$ U ( N ) ⊗ r ⊗ O ( N ) ⊗ q invariants are constructed by contractions of complex tensors of order $$r+q$$ r + q , also denoted (r, q). These tensors transform under r fundamental representat
Externí odkaz: https://doaj.org/article/30decdd99d214b0099b32629c9f85084
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2
Akademický článek
The quantum detection of projectors in finite-dimensional algebras and holography
Autor: Joseph Ben Geloun, Sanjaye Ramgoolam
Publikováno v: Journal of High Energy Physics, Vol 2023, Iss 5, Pp 1-38 (2023)
Abstract We define the computational task of detecting projectors in finite dimensional associative algebras with a combinatorial basis, labelled by representation theory data, using combinatorial central elements in the algebra. In the first example
Externí odkaz: https://doaj.org/article/2a9ab1fcdb594710aded455b5ec03214
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3
Akademický článek
Minimizers of the dynamical Boulatov model
Autor: Joseph Ben Geloun, Alexander Kegeles, Andreas G. A. Pithis
Publikováno v: European Physical Journal C: Particles and Fields, Vol 78, Iss 12, Pp 1-12 (2018)
Abstract We study the Euler–Lagrange equation of the dynamical Boulatov model which is a simplicial model for 3d Euclidean quantum gravity augmented by a Laplace–Beltrami operator. We provide all its solutions on the space of left and right invar
Externí odkaz: https://doaj.org/article/c9c09cb6d34a42eeaf41e790e0f5a658
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4
Akademický článek
Tensor models, Kronecker coefficients and permutation centralizer algebras
Autor: Joseph Ben Geloun, Sanjaye Ramgoolam
Publikováno v: Journal of High Energy Physics, Vol 2017, Iss 11, Pp 1-75 (2017)
Abstract We show that the counting of observables and correlators for a 3-index tensor model are organized by the structure of a family of permutation centralizer algebras. These algebras are shown to be semi-simple and their Wedderburn-Artin decompo
Externí odkaz: https://doaj.org/article/aaf8c29e2bae4c399f08d49c1c7255ae
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5
Kronecker coefficients from algebras of bi-partite ribbon graphs
Autor: Joseph Ben Geloun, Sanjaye Ramgoolam
Bi-partite ribbon graphs arise in organising the large $N$ expansion of correlators in random matrix models and in the enumeration of observables in random tensor models. There is an algebra $\mathcal{K}(n)$, with basis given by bi-partite ribbon gra
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4dd0fb146f6197d478fc833f4a17edc4
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7
All-orders asymptotics of tensor model observables from symmetries of restricted partitions
Autor: Joseph Ben Geloun, Sanjaye Ramgoolam
The counting of the dimension of the space of $U(N) \times U(N) \times U(N)$ polynomial invariants of a complex $3$-index tensor as a function of degree $n$ is known in terms of a sum of squares of Kronecker coefficients. For $n \le N$, the formula c
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36c5f21ec024c3822ec87243144580e3
https://hal.archives-ouvertes.fr/hal-03262634
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8
On the counting tensor model observables as U(N) and O(N) classical invariants
Autor: Joseph Ben Geloun
Publikováno v: PoS
19th Hellenic School and Workshops on Elementary Particle Physics and Gravity
19th Hellenic School and Workshops on Elementary Particle Physics and Gravity, Aug 2019, Corfu, Greece. pp.175, ⟨10.22323/1.376.0175⟩
Real or complex tensor model observables, the backbone of the tensor theory space, are classical (unitary, orthogonal, symplectic) Lie group invariants. These observables represent as colored graphs, and that representation gives an handle to study t
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eab185ebbae350b80169d2175495c882
https://doi.org/10.22323/1.376.0175
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9
On-the-fly Optimization of Parallel Computation of Symbolic Symplectic Invariants
Autor: Allen D. Malony, Camille Coti, Joseph Ben Geloun
Publikováno v: ISPDC
Group invariants are used in high energy physics to define quantum field theory interactions. In this paper, we present the parallel algebraic computation of special invariants called symplectic and focus on one particular invariant that finds recent
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5bcf43746a3c551115f5288d65b6a17e
https://hal.archives-ouvertes.fr/hal-02518075
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10
On an Ordering-Dependent Generalization of the Tutte Polynomial
Autor: Joseph Ben Geloun, Francesco Caravelli
Publikováno v: Journal of Statistical Physics
A generalization of Tutte polynomial involved in the evaluation of the moments of the integrated geometric Brownian in the Ito formalism is discussed. The new combinatorial invariant depends on the order in which the sequence of contraction-deletions
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b8e8c1c15e663df9f2ef0adc34984033
https://doi.org/10.1007/s10955-017-1831-x
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