PERTURBED 2D SUPERCONFORMAL THEORIES AND THEIR INTEGRALS OF MOTION

1994 ◽  
Vol 09 (22) ◽  
pp. 1999-2007
Author(s):  
S.A. APIKYAN
Keyword(s):  
Magnetic Field ◽  
Field Theory ◽  
Ising Model ◽  
Field Theories ◽  
Integrals Of Motion ◽  
Superconformal Field Theory ◽  
Supersymmetric Field Theories ◽  
Superconformal Theories

Particular perturbation of a 2D superconformal field theory leading to supersymmetric field theories is examined. It is shown that for φ(1, 3) taken as the perturbations, the correspondence SFT possesses infinite non-trivial local integrals of motion. The example is the tricritical Ising model with magnetic field φ(1, 3) of dimension (3/5, 3/5).

INTEGRALS OF MOTION AND S-MATRIX OF THE (SCALED) T = Tc ISING MODEL WITH MAGNETIC FIELD

1989 ◽  
Vol 04 (16) ◽  
pp. 4235-4248 ◽  
Author(s):  
A. B. ZAMOLODCHIKOV
Keyword(s):  
Magnetic Field ◽  
Field Theory ◽  
Mass Spectrum ◽  
Ising Model ◽  
Scaling Limit ◽  
Integrals Of Motion ◽  
Exact Mass ◽  
S Matrix

It is shown that the field theory describing the scaling limit of T = T c Ising model with nonzero magnetic field possesses a number of nontrivial local integrals of motion. The exact mass spectrum and S-matrix of this field theory is conjectured.

scholarly journals Correlation functions of spinor current multiplets in $$ \mathcal{N} $$ = 1 superconformal theory

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Evgeny I. Buchbinder ◽  
Jessica Hutomo ◽  
Sergei M. Kuzenko
Keyword(s):  
Field Theory ◽  
Correlation Functions ◽  
Field Theories ◽  
Point Function ◽  
Superconformal Field Theories ◽  
Superconformal Symmetry ◽  
Four Dimensions ◽  
Superconformal Field Theory ◽  
Superconformal Theories ◽  
Spinor Current

Abstract We consider $$ \mathcal{N} $$ N = 1 superconformal field theories in four dimensions possessing an additional conserved spinor current multiplet Sα and study three-point functions involving such an operator. A conserved spinor current multiplet naturally exists in superconformal theories with $$ \mathcal{N} $$ N = 2 supersymmetry and contains the current of the second supersymmetry. However, we do not assume $$ \mathcal{N} $$ N = 2 supersymmetry. We show that the three-point function of two spinor current multiplets and the $$ \mathcal{N} $$ N = 1 supercurrent depends on three independent tensor structures and, in general, is not contained in the three-point function of the $$ \mathcal{N} $$ N = 2 supercurrent. It then follows, based on symmetry considerations only, that the existence of one more Grassmann odd current multiplet in $$ \mathcal{N} $$ N = 1 superconformal field theory does not necessarily imply $$ \mathcal{N} $$ N = 2 superconformal symmetry.

scholarly journals NONCOMMUTATIVITY FROM THE SYMPLECTIC POINT OF VIEW

2006 ◽  
Vol 21 (26) ◽  
pp. 5359-5369 ◽  
Author(s):  
E. M. C. ABREU ◽  
C. NEVES ◽  
W. OLIVEIRA
Keyword(s):  
Magnetic Field ◽  
Field Theory ◽  
String Theory ◽  
Point Of View ◽  
Field Theories ◽  
Lagrangian Description ◽  
Moyal Product ◽  
Commutative Field ◽  
Background Magnetic Field

The great deal in noncommutative (NC) field theories started when it was noted that NC spaces naturally arise in string theory with a constant background magnetic field in the presence of D-branes. In this work we explore how NC geometry can be introduced into a commutative field theory besides the usual introduction of the Moyal product. We propose a nonperturbative systematic new way to introduce NC geometry into commutative systems, based mainly on the symplectic approach. Further, as example, this formalism describes precisely how to obtain a Lagrangian description for the NC version of some systems reproducing well-known theories.

TARGET-SPACE PROPERTIES OF TOPOLOGICAL CONFORMAL FIELD THEORIES

1992 ◽  
Vol 07 (05) ◽  
pp. 973-986 ◽  
Author(s):  
AMIT GIVEON ◽  
DIRK-JAN SMIT
Keyword(s):  
Field Theory ◽  
Topological String ◽  
Target Space ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Superconformal Field Theory ◽  
Conformal Field ◽  
String Background

Target-space properties of string backgrounds corresponding to topological conformal field theories are discussed. The topological string background is obtained from a "twisting" of an N = 2 superconformal field theory describing an ordinary background of the superstring. Thus, we are able to relate the duality symmetries of topological backgrounds with N = 2 backgrounds.

scholarly journals Non-compact superconformal field theory and mock modular forms

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Yuji Sugawara
Keyword(s):  
Field Theory ◽  
High Energy Phys ◽  
Modular Forms ◽  
High Energy ◽  
Field Theories ◽  
Two Dimensional ◽  
Superconformal Field Theories ◽  
Superconformal Field Theory ◽  
Mock Modular Forms ◽  
Mathematical Literature

Abstract One of interesting issues in two-dimensional superconformal field theories is the existence of anomalous modular transformation properties appearing in some non-compact superconformal models, corresponding to the “mock modularity” in mathematical literature. I review a series of my studies on this issue in collaboration with T. Eguchi, mainly focusing on T. Eguchi and Y. Sugawara, J. High Energy Phys. 1103, 107 (2011); J. High Energy Phys. 1411, 156 (2014); and Prog. Theor. Exp. Phys. 2016, 063B02 (2016).

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