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N = 1 Field Theory, Matrix Models, and Special Geometry

Group field cosmology : a cosmological field theory of quantum geometry

Group field cosmology : a cosmological field theory of quantum geometry

... a field-theoretic formalism like the one we propose could have a better chance of being derived from fundamen- tal formulations of quantum gravity such as ...fundamental models via their cosmological ...

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Multi-particle S-matrix models in 1+1-dimensions and associated Quantum Field theories

Multi-particle S-matrix models in 1+1-dimensions and associated Quantum Field theories

... outgoing n-particle states of increasing and decreasing rapidities, respectively has been investigated in the form factor program ...the theory but has to be ...

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Gravitation as Geometry or as Field

Gravitation as Geometry or as Field

... ean geometry. The field equations have as source the total energy-momentum tensor inclusive that of gravitation which is a ...The theory is generally covariant and the results of GFST and general ...

11

Exploring the vacuum geometry of N=1 gauge theories

Exploring the vacuum geometry of N=1 gauge theories

... this field theory too complicated to analyze with standard computational ...non-trivial geometry in the vacuum space of the MSSM depends crucially on the number of generations of matter ...that ...

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Lorentz Violation of the Photon Sector in Field Theory Models

Lorentz Violation of the Photon Sector in Field Theory Models

... fundamental theory, one can take the SMS as an effective framework for phenomeno- logical applications by confronting various experiments to determine and/or constrain the Lorentz violation matrix Δ 𝛼𝛽 for ...

9

On discrete surfaces : Enumerative geometry, matrix models and universality classes via topological recursion

On discrete surfaces : Enumerative geometry, matrix models and universality classes via topological recursion

... the special functions, and some details necessary to obtain this phase diagram as well as for later use, are collected in Appendix ...fixed n ∈ (0, 2), α not too large and vertex weight u = 1, it ...

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Density matrix theory of transport and gain in quantum cascade lasers in a magnetic field

Density matrix theory of transport and gain in quantum cascade lasers in a magnetic field

... the field of quantum cascade lasers 1 共QCLs兲 has initiated considerable theoretical activity to explain the underlying physical phenomena and improve their performance by design ...magnetic field ...

16

A connection between the classical r-matrix formalism and covariant Hamiltonian field theory

A connection between the classical r-matrix formalism and covariant Hamiltonian field theory

... a special coordinate to perform the Legendre transform emerged already in the early ...Hamiltonian field theory. This observation is at the basis of a theory discovered independently by De ...

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Chebyshev matrix product state impurity solver for dynamical mean-field theory

Chebyshev matrix product state impurity solver for dynamical mean-field theory

... starlike geometry with the impurity at the center of the star, hence a generalization from a matrix-based to a tensor-based representation at the location of the ...

17

Brane geometry and dimer models

Brane geometry and dimer models

... the field theoretic ...the field theory τ R , can be argued to be, generically, a transcendental number using the four exponentials conjecture while the geometrical τ G , computed from the explicit ...

30

Foundations of Supermathematics with Applications to N=1 Supersymmetric Field Theory

Foundations of Supermathematics with Applications to N=1 Supersymmetric Field Theory

... important special case of these ideas which we find useful in the last section of the ...(u 1 (x), u 2 (x), · · · , u p+q (x)), x ∈ g 0 ...f 1 , f 2 , · · · f p are all even while f p+1 , f ...

351

Operators and special functions in random matrix theory

Operators and special functions in random matrix theory

... random matrix from the Jacobi unitary ensemble converges in trace class norm to the Bessel integral operator, with kernel ...Hilbert theory used by other authors to establish convergence theorems for ...

132

Operators and special functions in random matrix theory

Operators and special functions in random matrix theory

... random matrix from the Jacobi unitary ensemble converges in trace class norm to the Bessel integral operator, with kernel ...Hilbert theory used by other authors to establish convergence theorems for ...

132

On Exact Cosmological Models of a Scalar Field in Lyra Geometry

On Exact Cosmological Models of a Scalar Field in Lyra Geometry

... cosmological models for a scalar field in Lyra geometry are studied in the presence of a time-varying effective cosmological term originated from the specific interaction of an auxiliary Λ - term with the ...

6

N-Symplectic Analysis of Field Theory

N-Symplectic Analysis of Field Theory

... The result for the free field Lagrangian may yet lead to a metric. It is possible that the addition of more terms will do the trick. Also, Lagrangians for higher rank observables have yet to be explored. ...

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Integral Geometry Methods on Deformed Categories in Field Theory II

Integral Geometry Methods on Deformed Categories in Field Theory II

... integral geometry methods have can establish different aspects on invariant theory and cohomology of cycles to study of the Universe or their ...on field solutions to establish a theory of the ...

5

Integral Geometry and Complex Space-Time Cohomology in Field Theory

Integral Geometry and Complex Space-Time Cohomology in Field Theory

... vector field as integral of line it has more than enough lines bundles and hyperplanes like for example, having more than enough lines and hyperplanes respectively in CP n , and C n , visualizing ...

8

On $L(n)$-hyponormal operators (Application of Geometry to Operator Theory)

On $L(n)$-hyponormal operators (Application of Geometry to Operator Theory)

... 1. Introduction This is based on the joint work with I. Jung and J. Stochel and was talked at RIMS Workshop: Application of Geometry to Operator Theory, which was held at Kyoto University on October ...

6

Some invariant theorems on geometry of Einstein non symmetric field theory

Some invariant theorems on geometry of Einstein non symmetric field theory

... Einstein_ non-smmetric field, Einstein theorem, curvature tensor, Ricci tensor, scalar curvature, transformation, T__v._transformation.. 1980 MATHEMATICS SUBJECT CLASSIFICATION CODES.[r] ...

10

On the universal representation of the scattering matrix of affine Toda field theory

On the universal representation of the scattering matrix of affine Toda field theory

... Toda field theories in terms of basic building blocks consisting of specific combinations of hyperbolic func- tions, whose powers may be obtained from q-deformed quantities of either of the two dual ...scattering ...

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