Twisting cocycles in fundamental representation and triangular bi-crossproduct Hopf algebras [PDF]
We find the general solution to the twisting equation in the tensor bialgebra T(R) of an associative unital ring R viewed as that of fundamental representation for a universal enveloping Lie algebra and its quantum deformations. We suggest a procedure of
Andrey Mudrov
semanticscholar +5 more sources
The supersymmetric (2 + 1)D noncommutativeCP(N−1)model in the fundamental representation [PDF]
In this paper, we study the noncommutative supersymmetric CP(N−1) model in 2 + 1 dimensions, where the basic field is in the fundamental representation which, differently to the adjoint representation already studied in the literature, goes to the usual ...
A. F. Ferrari+3 more
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Matrix model approach to the Script N = 2 U(N) gauge theory with matter in the fundamental representation [PDF]
We use matrix model technology to study the = 2 U(N) gauge theory with Nf massive hypermultiplets in the fundamental representation. We perform a completely perturbative calculation of the periods ai and the prepotential (a) up to the first instanton ...
Stephen Naculich+2 more
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Two-dimensional 𝒩 = (2, 2) supersymmetric lattice gauge theory with matter fields in the fundamental representation [PDF]
In this paper, we construct a lattice formulation for two-dimensional = (2, 2) supersymmetric gauge theory with matter fields in the fundamental representation.
So Matsuura
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Solution of gauge theories induced by fundamental representation scalars [PDF]
Gauge theories induced by scalars in the fundamental representation of the $U(N_c)_{gauge}\times U(N_f)_{global}$ group are investigated in the large $N_c$ and $N_f$ limit.
P. Surányi
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The fundamental representation of a regular semigroup
A. Clifford
semanticscholar +3 more sources
DCdetector: Dual Attention Contrastive Representation Learning for Time Series Anomaly Detection [PDF]
Time series anomaly detection is critical for a wide range of applications. It aims to identify deviant samples from the normal sample distribution in time series. The most fundamental challenge for this task is to learn a representation map that enables
Yiyuan Yang+4 more
semanticscholar +1 more source
Deep Graph Representation Learning and Optimization for Influence Maximization [PDF]
Influence maximization (IM) is formulated as selecting a set of initial users from a social network to maximize the expected number of influenced users. Researchers have made great progress in designing various traditional methods, and their theoretical ...
Chen Ling+7 more
semanticscholar +1 more source
Higgs-confinement phase transitions with fundamental representation matter [PDF]
We discuss the conditions under which Higgs and confining regimes in gauge theories with fundamental representation matter fields can be sharply distinguished.
A. Cherman+3 more
semanticscholar +1 more source
The fundamental representation of a completely regular semigroup
A. Clifford
semanticscholar +3 more sources