The duality condition for Weyl-Heisenberg frames

1998 ◽  
pp. 33-84 ◽  
Author(s):  
A. J. E. M. Janssen
Keyword(s):  
Duality Condition

scholarly journals FUZZY INSTANTONS

2002 ◽  
Vol 17 (15) ◽  
pp. 2095-2111 ◽  
Author(s):  
HARALD GROSSE ◽  
MARCO MACEDA ◽  
JOHN MADORE ◽  
HAROLD STEINACKER
Keyword(s):  
Real Number ◽  
Matrix Model ◽  
Matrix Algebra ◽  
Quantization Condition ◽  
Constant Factor ◽  
Arbitrary Real Number ◽  
Self Duality ◽  
Duality Condition ◽  
The Matrix ◽  
Fixed Constant

We present a series of instanton-like solutions to a matrix model which satisfy a self-duality condition and possess an action whose value is, to within a fixed constant factor, an integer l2. For small values of the dimension n2 of the matrix algebra the integer resembles the result of a quantization condition but as n → ∞ the ratio l/n can tend to an arbitrary real number between zero and one.

scholarly journals On the duality condition for quantum fields

1976 ◽  
Vol 17 (3) ◽  
pp. 303 ◽  
Author(s):  
Joseph J. Bisognano
Keyword(s):  
Quantum Fields ◽  
Duality Condition

ENHANCED DUALITY SYMMETRIES FOR A PAIR OF DIRAC–BORN–INFELD ACTIONS

2012 ◽  
Vol 27 (10) ◽  
pp. 1250056
Author(s):  
HITOSHI NISHINO ◽  
SUBHASH RAJPOOT
Keyword(s):  
Vector Field ◽  
Axial Vector ◽  
Interaction Constant ◽  
Higher Order ◽  
Duality Condition ◽  
Higher Order Terms ◽  
Total Action

We consider a total action composed of two Dirac–Born–Infeld (DBI) actions: one for a vector field Aμ and another for an axial vector field Bμ. We impose a duality condition [Formula: see text], where [Formula: see text] is the Hodge dual of Gμν, and g is a DBI interaction constant. Interestingly, there are two different global duality rotation symmetries in the presence of DBI interactions: (i) [Formula: see text], [Formula: see text], and (ii) δζAμ = - ζBμ, δζBμ = + ζAμ. Both of these symmetry are on-shell symmetries, including nonlinear higher-order terms. The remarkable aspect is that these symmetries are valid even in the presence of DBI interactions. The coupling of this system to N = 1 supergravity is also discussed.

scholarly journals GRAVITATIONAL INSTANTONS IN ASHTEKAR’S FORMALISM

1996 ◽  
Vol 11 (15) ◽  
pp. 2707-2720
Author(s):  
HIDEKI ISHIHARA ◽  
HIROTO KUBOTANI ◽  
TAKESHI FUKUYAMA
Keyword(s):  
Cosmological Constant ◽  
Bianchi Type ◽  
Canonical Formalism ◽  
Coupled System ◽  
The Self ◽  
Initial Surface ◽  
Gravitational Instantons ◽  
Hamiltonian Equations ◽  
Self Duality ◽  
Duality Condition

Gravitational instantons of Bianchi type IX space are constructed in Ashtekar’s canonical formalism. Instead of solving the self-duality condition, we fully solve the constraint on the “initial surface” and “Hamiltonian equations.” This formalism is applicable to the matter coupled system with cosmological constant.

scholarly journals On the self-duality condition in Chern-Simons systems

1991 ◽  
Vol 256 (3-4) ◽  
pp. 427-430 ◽  
Author(s):  
Prem P. Srivastava ◽  
K. Tanaka
Keyword(s):  
The Self ◽  
Self Duality ◽  
Duality Condition ◽  
Chern Simons

NOTE ON SELF-DUALITY CONDITION IN THE CHIRAL BOSON THEORY

1993 ◽  
Vol 08 (05) ◽  
pp. 417-419
Author(s):  
MU-IN PARK ◽  
YOUNG-JAI PARK ◽  
YONGDUK KIM
Keyword(s):  
Boundary Condition ◽  
Equation Of Motion ◽  
The Self ◽  
Theoretical Equation ◽  
Self Duality ◽  
Duality Condition ◽  
Boson Theory

We demonstrate that the self-duality condition for the field itself can naturally be obtained without requiring any boundary condition in Floreanini and Jackiw’s chiral boson theory if we treat carefully the quantum theoretical equation of motion for the theory.

On systems of local operators and the duality condition

1983 ◽  
Vol 24 (6) ◽  
pp. 1633-1644 ◽  
Author(s):  
Eyvind H. Wichmann
Keyword(s):  
Duality Condition ◽  
Local Operators

scholarly journals Duality condition and property (S)

1982 ◽  
Vol 98 (2) ◽  
pp. 313-322 ◽  
Author(s):  
Su-Shing Chen
Keyword(s):  
Duality Condition
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