Quasi-Classical use of Trace Identities in one and Higher Dimensional Field Theories

1977 ◽  
pp. 367-376
Author(s):  
B. Hasslacher
Keyword(s):  
Field Theories ◽  
Higher Dimensional

scholarly journals Dimensional Enhancement via Supersymmetry

2011 ◽  
Vol 2011 ◽  
pp. 1-45 ◽  
Author(s):  
M. G. Faux ◽  
K. M. Iga ◽  
G. D. Landweber
Keyword(s):  
Quantum Mechanics ◽  
Representation Theory ◽  
Gauge Invariance ◽  
Extra Dimensions ◽  
Field Theories ◽  
Consistency Test ◽  
One Dimensional ◽  
Supersymmetric Field Theories ◽  
Higher Dimensional ◽  
Supersymmetric Models

We explain how the representation theory associated with supersymmetry in diverse dimensions is encoded within the representation theory of supersymmetry in one time-like dimension. This is enabled by algebraic criteria, derived, exhibited, and utilized in this paper, which indicate which subset of one-dimensional supersymmetric models describes “shadows” of higher-dimensional models. This formalism delineates that minority of one-dimensional supersymmetric models which can “enhance” to accommodate extra dimensions. As a consistency test, we use our formalism to reproduce well-known conclusions about supersymmetric field theories using one-dimensional reasoning exclusively. And we introduce the notion of “phantoms” which usefully accommodate higher-dimensional gauge invariance in the context of shadow multiplets in supersymmetric quantum mechanics.

scholarly journals Bootstrap experiments on higher dimensional CFTs

2018 ◽  
Vol 33 (07) ◽  
pp. 1850036 ◽  
Author(s):  
Yu Nakayama
Keyword(s):  
Empirical Relationship ◽  
Adjoint Representation ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Time Dimension ◽  
Unitarity Bound ◽  
Conformal Field ◽  
Dimension Formula ◽  
Conformal Bootstrap ◽  
Higher Dimensional

Recent programs on conformal bootstrap suggest an empirical relationship between the existence of nontrivial conformal field theories and nontrivial features such as a kink in the unitarity bound of conformal dimensions in the conformal bootstrap equations. We report the existence of nontrivial kink-like behaviors in the unitarity bound of scalar operators in the adjoint representation of the [Formula: see text] symmetric conformal field theories. They have interesting properties: (1) the kink-like behaviors exist in [Formula: see text] dimensions; (2) the location of kink-like behaviors are when the unitarity bound hits the space–time dimension [Formula: see text]; (3) there exists a “conformal window” of [Formula: see text], where [Formula: see text] in [Formula: see text] and [Formula: see text] in [Formula: see text].

scholarly journals EXPONENTIALLY SMALL COUPLINGS BETWEEN TWISTED FIELDS OF ORBIFOLD STRING THEORIES

1998 ◽  
Vol 13 (19) ◽  
pp. 3255-3274
Author(s):  
PH. BRAX ◽  
NEIL TUROK
Keyword(s):  
Fixed Points ◽  
Effective Field ◽  
Field Theories ◽  
Exponential Dependence ◽  
Natural Occurrence ◽  
Gauge Bosons ◽  
Higher Dimensional ◽  
Intermediate States ◽  
Twisted Fields ◽  
Exponentially Small

We investigate the natural occurrence of exponentially small couplings in effective field theories deduced from higher-dimensional models. As a concrete example we calculate the coupling between twisted fields of the Z3 Abelian orbifold compactification of the heterotic string. These are described by an effective field theory coupling the ten-dimensional massless gauge bosons to the four-dimensional twisted fields. The propagation of massive winding modes between the fixed points of the orbifold induces exponentially small couplings between the massless twisted fields. The resulting small couplings have an exponential dependence on the mass of the intermediate states and the distance between the fixed points.

Sign in / Sign up

Export Citation Format

Share Document