Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The operadic modeling of gauge systems of the Yang-Mills type   The basics of operadic variational formalism is presented which is necessary
when modeling the operadic systems. A general gauge theoretic approach to the
abstract operads, based on the physical measurements concepts, is justified and
considered. It is explained how the matrix and Poisson algebra relations can be
extended to operadic realm. The tangent cohomology spaces of the binary
associative flows with their Gerstenhaber algebra structure can be seen as
equally natural objects for operadic modeling, just as the matrix and Poisson
algebras in conventional modeling. In particular, the relation of the tangent
Gerstenhaber algebras to operadic Stokes law for operadic observables is
revealed and discussed. Based on this, the rational (cohomological) variational
principle and operadic Heisenberg equation for quantum operadic flows are
stated. As a modeling selection rule, the operadic gauge equations of the
Yang-Mills type are considered and justified from the point of view of the
physical measurements and the algebraic deformation theory. It is also shown
how the binary weakly non-associative operations are related to approximate
operadic (anti-)self-dual models.

25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org