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Higher Coxeter graphs associated to affine su(3) modular invariants [PDF]
The affine $su(3)$ modular invariant partition functions in 2d RCFT are associated with a set of generalized Coxeter graphs. These partition functions fall into two classes, the block-diagonal (Type I) and the non block-diagonal (Type II) cases ...
Hammaoui, D., Schieber, G., Tahri, E. H.
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Congruences involving F-partition functions
The primary goal of this note is to prove the congruence ϕ3(3n+2)≡0(mod3), where ϕ3(n) denotes the number of F-partitions of n with at most 3 repetitions. Secondarily, we conjecture a new family of congruences involving cϕ2(n), the number of F-partitions
James Sellers
doaj +1 more source
Partition Functions in Statistical Mechanics, Symmetric Functions, and Group Representations
Partition functions for non-interacting particles are known to be symmetric functions. It is shown that powerful group-theoretical techniques can be used not only to derive these relationships, but also to significantly simplify calculation of the ...
A. B. Balantekin +22 more
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D-instanton partition functions
Duality arguments are used to determine D-instanton contributions to certain effective interaction terms of type II supergravity theories in various dimensions.
A. Kehagias +36 more
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Factorization properties of genus-two bosonic and fermionic string partition functions [PDF]
The genus-two bosonic and fermionic string partition functions factorize, in the separating pinching limit, into genus-one partition functions after integrating out the supermoduli with super-Beltrami support on the puncture points in the fermionic and ...
Koh, I., Lüst, D., Theisen, S.
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Partition Functions of Pure Spinors
We compute partition functions describing multiplicities and charges of massless and first massive string states of pure-spinor superstrings in 3,4,6,10 dimensions.
Grassi, P. A., Morera, J. F. Morales
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Crossing-tree partition functions [PDF]
Publication in the conference proceedings of EUSIPCO, Nice, France ...
Geoffrey Decrouez +1 more
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ABSTRACT Background Survivors of childhood acute lymphoblastic leukemia (ALL) often exhibit early deficits in muscle and movement competence, which can compromise long‐term health. Integrative neuromuscular training (INT), a multifaceted approach combining fundamental movement activities with strength exercises, may help address these deficits during ...
Anna Maria Markarian +7 more
wiley +1 more source
On finite-volume gauge theory partition functions [PDF]
We prove a Mahoux–Mehta-type theorem for finite-volume partition functions of SU(Nc≥3) gauge theories coupled to fermions in the fundamental representation. The large-volume limit is taken with the constraint V1/mπ4. The theorem allows one to express any
Akemann, G, Damgaard, PH
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Let \(\mathbb{N}\) be the set of nonnegative integers and \(A = (a_1, \dots, a_n)\) a \(d \times n\)-matrix with entries in \(\mathbb{N}\). The corresponding vector partition function \(\varphi_A : \mathbb{N}^d \to \mathbb{N}\) is defined as follows: \(\varphi_A (u)\) is the number of integer vectors \((\lambda_1, \dots, \lambda_n) \in \mathbb{N}^n ...
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