Algebra of Majorana Doubling by Wilczek, Frank, Lee, Jae Hoon

“…Motivated by the problem of identifying Majorana mode operators at junctions, we analyze a basic algebraic structure leading to a doubled spectrum. For general (nonlinear) interactions the emergent mode creation operator is highly nonlinear in the original effective mode operators, and therefore also in the underlying electron creation and destruction operators. …”
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A structure of punctual dimension two by Melnikov, Alexander, Ng, Keng Meng

“…We prove that there exists a countable rigid algebraic structure which has exactly two punctual presentations, up to punctual isomorphism.…”
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Free field realisation of the chiral universal centraliser by Beem, C, Nair, S

“…Using this embedding and some observations on the Poisson algebraic structure of ZG , we propose a free field realisation of the chiral universal centraliser for any simple group G. …”

Global conformal invariants of submanifolds by Mondino, A, Nguyen, HT

“…The goal of the present paper is to investigate the algebraic structure of global conformal invariants of submanifolds. …”

Boundary conformal field theory at the extraordinary transition: The layer susceptibility to O(ε) by M. A. Shpot

“…B 455 (1995) 522] in the boundary CFT, we derive the coordinate-space representation of the mean-field propagator at the transition point. The simple algebraic structure of this function provides a practical possibility of higher-order calculations. …”
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Kinematic Hopf algebra for amplitudes from higher-derivative operators by Gang Chen, Laurentiu Rodina, Congkao Wen

“…In particular, the kinematic algebraic structure is unaltered and the derivative corrections only arise when mapping the abstract algebraic generators to physical BCJ numerators. …”
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Interval-Valued General Residuated Lattice-Ordered Groupoids and Expanded Triangle Algebras by Xiaohong Zhang, Rong Liang

“…However, their corresponding interval-valued algebraic structure has not been studied yet. On the other hand, with the development of non-commutative (non-associative) fuzzy logic, the study of residuated lattice theory is gradually deepening. …”
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Regular Partial Residuated Lattices and Their Filters by Nan Sheng, Xiaohong Zhang

“…In this paper, we mainly study the related algebraic structure of fuzzy partial logic. First, we provide the definitions of regular partial t-norms and regular partial residuated implication (rPRI) through the general forms of partial t-norms and partial residuated implication. …”
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The Sequential and Contractible Topological Embeddings of Functional Groups by Susmit Bagchi

“…First, the topological decomposition and associated embeddings of a generalized group algebraic structure in the lower dimensional space is presented. …”
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Dark Energy and Spacetime Symmetry by Irina Dymnikova

“…The Petrov classification of stress-energy tensors provides a model-independent definition of a vacuum by the algebraic structure of its stress-energy tensor and implies the existence of vacua whose symmetry is reduced as compared with the maximally symmetric de Sitter vacuum associated with the Einstein cosmological term. …”
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A State of the Art Review of Systems of Linear Inequalities and Related Observability Problems by Enrique Castillo

“…It shows that the algebraic structure of their solutions consists of the sum of a linear subspace, an acute cone, and a polytope, and that adequate software exists to obtain, in their simplest forms, these three components. …”
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On the dynamics of new 4D Lorenz-type chaos systems by Guangyun Zhang, Fuchen Zhang, Xiaofeng Liao, Da Lin, Ping Zhou

“…Abstract It is often difficult to obtain the bounds of the hyperchaotic systems due to very complex algebraic structure of the hyperchaotic systems. After an exhaustive research on a new 4D Lorenz-type hyperchaotic system and a coupled dynamo chaotic system, we obtain the bounds of the new 4D Lorenz-type hyperchaotic system and the globally attractive set of the coupled dynamo chaotic system. …”
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ON THE STRUCTURE OF GRAPHS WHICH ARE LOCALLY INDISTINGUISHABLE FROM A LATTICE by ITAI BENJAMINI, DAVID ELLIS

“…The finite, connected graphs with this property have a highly rigid, ‘global’ algebraic structure; they can be viewed as quotient lattices of $\mathbb{L}^{d}$ in various compact $d$ -dimensional orbifolds which arise from crystallographic groups. …”
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W algebra and eigenvalues of the low-order string constraint operators for the discrete KP hierarchy by Kong Huang, Shaowei Liu, Yuxing Ni

“…Moreover, using the algebraic structure, eigenvalues of the low-order string equation constraint operators are calculated. …”
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Analysis of relative abundances with zeros on environmental gradients: a multinomial regression model by Fiona Chong, Matthew Spencer

“…Compositions form a vector space in which addition and scalar multiplication are replaced by operations known as perturbation and powering. This algebraic structure makes it easy to understand how relative abundances change along environmental gradients. …”
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Algebraic ER=EPR and complexity transfer by Engelhardt, Netta, Liu, Hong

“…We propose an algebraic definition of ER=EPR in the GN → 0 limit, which associates bulk spacetime connectivity/disconnectivity to the operator algebraic structure of a quantum gravity system. The new formulation not only includes information on the amount of entanglement, but also more importantly the structure of entanglement. …”
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Defining and classifying TQFTs via surgery by Juhasz, A

“…Finally, we use it to classify (2+1)-dimensional TQFTs in terms of J-algebras, a new algebraic structure that consists of a split graded involutive nearly Frobenius algebra endowed with a certain mapping class group representation. …”

Combinatorial problems raised from 2-semilattices by Bulatov, A

“…Jeavons, On the algebraic structure of combinatorial problems, Theoret. …”

Comparing two cohomological obstructions for contextuality, and a generalised construction of quantum advantage with shallow circuits by Aasnaess, S

“…Their approach exploits the algebraic structure of the Pauli operators and their qudit generalisations known as Weyl operators. …”

The compositional structure of multipartite quantum entanglement by Coecke, B, Kissinger, A

“…We identify those states, named Frobenius states, which canonically induce an algebraic structure, namely the structure of a commutative Frobenius algebra (CFA). …”