Logarithmic Primary Fields in Conformal and Superconformal Field Theory [PDF]
In this note, some aspects of the generalization of a primary field to the logarithmic scenario are discussed. This involves understanding how to build Jordan blocks into the geometric definition of a primary field of a conformal field theory. The construction is extended to N=1,2 superconformal theories. For the N=0,2 theories, the two-point functions
Flohr+11 more
arxiv +6 more sources
Confluent primary fields in the conformal field theory [PDF]
For any complex simple Lie algebra, we generalize primary fileds in the Wess-Zumino-Novikov-Witten conformal field theory with respect to the case of irregular singularities and we construct integral representations of hypergeometric functions of ...
Fedorov R+6 more
core +4 more sources
On conformal field theories with low number of primary fields [PDF]
Using Verlinde formula and the symmetry of the modular matrix we describe an algorithm to find all conformal field theories with low number of primary fields. We employ the algorithm on up to eight primary fields. Four new conformal field theories are found which do not appear to come from current algebras.
Doron Gepner, Roman Dovgard
arxiv +5 more sources
Operator Product Expansion in Logarithmic Conformal Field Theory [PDF]
In logarithmic conformal field theory, primary fields come together with logarithmic partner fields on which the stress-energy tensor acts non-diagonally. Exploiting this fact and global conformal invariance of two- and three-point functions, operator product expansions of logarithmic operators in arbitrary rank logarithmic conformal field theory are ...
Bernard+97 more
arxiv +5 more sources
Analysis of Primary Field Shielding Stability for the Weak Coupling Coil Designs [PDF]
As an electromagnetic field conversion tool in the transient electromagnetic method (TEM), the weak coupling coils reduce the mutual inductance of its transmitter and receiver coils by special structural optimization, so the detection signal can be ...
Jiangbo Huang+3 more
doaj +2 more sources
Conformal Properties of Primary Fields in a q-Deformed Theory [PDF]
We examine some of the standard features of primary fields in the framework of a $q$-deformed conformal field theory. By introducing a $q$-OPE between the energy momentum tensor and a primary field, we derive the $q$-analog of the conformal Ward identities for correlation functions of primary fields. We also obtain solutions to these identities for the
Oh, C.H., Singh, K.
arxiv +7 more sources
Free Field Realizations of 2D Current Algebras, Screening Currents and Primary Fields [PDF]
In this paper we consider Wakimoto free field realizations of simple affine Lie algebras, a subject already much studied. We present three new sets of results. (i) Based on quantizing differential operator realizations of the corresponding Lie algebras we provide general universal very simple expressions for all currents, more compact than has been ...
J.L. Petersen+2 more
openalex +5 more sources
The influence of the geomagnetic field and of the uncertainties in the primary spectrum on the development of the muon flux in the atmosphere [PDF]
In this paper we study the sensitivity of the flux of atmospheric muons to uncertainties in the primary cosmic ray spectrum and to the treatment of the geomagnetic field in a calculation.
A. Fasso+19 more
core +3 more sources
Director field model of the primary visual cortex for contour detection. [PDF]
We aim to build the simplest possible model capable of detecting long, noisy contours in a cluttered visual scene. For this, we model the neural dynamics in the primate primary visual cortex in terms of a continuous director field that describes the ...
Vijay Singh+3 more
doaj +3 more sources
Correlation functions in a c=1 boundary conformal field theory [PDF]
We obtain exact results for correlation functions of primary operators in the two-dimensional conformal field theory of a scalar field interacting with a critical periodic boundary potential. Amplitudes involving arbitrary bulk discrete primary fields are given in terms of SU(2) rotation coefficients while boundary amplitudes involving discrete ...
A. Sen+20 more
arxiv +3 more sources