Supersymmetric chiral boson with linearly realized self-duality condition

1992 ◽  
Vol 92 (1) ◽  
pp. 748-753 ◽  
Author(s):  
A. A. Deriglazov
Keyword(s):  
Self Duality ◽  
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 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.

scholarly journals NONLINEAR REALIZATION OF THE $\mathcal{N}=2$, D = 6 SUPERGRAVITY

2007 ◽  
Vol 22 (01) ◽  
pp. 75-81
Author(s):  
NEJAT T. YILMAZ
Keyword(s):  
Field Equations ◽  
Nonlinear Realization ◽  
Bosonic Field ◽  
First Order ◽  
Self Duality ◽  
Cartan Form ◽  
Duality Condition ◽  
Coset Construction ◽  
Tensor Multiplet

We have applied the method of dualization to construct the coset realization of the bosonic sector of the [Formula: see text], D = 6 supergravity which is coupled to a tensor multiplet. The bosonic field equations are regained through the Cartan–Maurer equation which the Cartan form satisfies. The first-order formulation of the theory is also obtained as a twisted self-duality condition within the nonlinear coset construction.

scholarly journals DAVEY-STEWARTSON EQUATION FROM A ZERO CURVATURE AND A SELF-DUALITY CONDITION

1994 ◽  
Vol 09 (14) ◽  
pp. 1267-1272 ◽  
Author(s):  
J.C. BRUNELLI ◽  
ASHOK DAS
Keyword(s):  
The Self ◽  
Curvature Condition ◽  
Self Duality ◽  
Zero Curvature ◽  
Duality Condition

We derive the two equations of Davey-Stewartson type from a zero curvature condition associated with SL(2, ℝ) in (2+1) dimensions. We show in general how a (2+1)dimensional zero curvature condition can be obtained from the self-duality condition in (3+3) dimensions and show in particular how the Davey-Stewartson equations can be obtained from the self-duality condition associated with SL(2, ℝ) in (3+3) dimensions.

scholarly journals A double copy for asymptotic symmetries in the self-dual sector

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Miguel Campiglia ◽  
Silvia Nagy
Keyword(s):  
Light Cone ◽  
Single Copy ◽  
The Self ◽  
Null Infinity ◽  
Yang Mills ◽  
Self Duality ◽  
Duality Condition ◽  
Infinite Set ◽  
Double Copy ◽  
Asymptotic Symmetries

Abstract We give a double copy construction for the symmetries of the self-dual sectors of Yang-Mills (YM) and gravity, in the light-cone formulation. We find an infinite set of double copy constructible symmetries. We focus on two families which correspond to the residual diffeomorphisms on the gravitational side. For the first one, we find novel non-perturbative double copy rules in the bulk. The second family has a more striking structure, as a non-perturbative gravitational symmetry is obtained from a perturbatively defined symmetry on the YM side.At null infinity, we find the YM origin of the subset of extended Bondi-Metzner-Sachs (BMS) symmetries that preserve the self-duality condition. In particular, holomorphic large gauge YM symmetries are double copied to holomorphic supertranslations. We also identify the single copy of superrotations with certain non-gauge YM transformations that to our knowledge have not been previously presented in the literature.

scholarly journals SELF-DUALITY AND THE SUPERSYMMETRIC KdV HIERARCHY

1993 ◽  
Vol 08 (15) ◽  
pp. 1399-1406 ◽  
Author(s):  
ASHOK DAS ◽  
C. A. P. GALVÃO
Keyword(s):  
Kdv Equation ◽  
Curvature Condition ◽  
Four Dimensions ◽  
Yang Mills ◽  
Kdv Hierarchy ◽  
Self Duality ◽  
Kdv Equations ◽  
Duality Condition ◽  
Graded Lie Algebra ◽  
Supersymmetric Kdv Equation

We show how the supersymmetric KdV equation can be obtained from the self-duality condition on Yang-Mills fields in four dimensions associated with the graded Lie algebra OSp(2/1). We also obtain the hierarchy of SUSY KdV equations as well as the s-KdV equations from such a condition. We formulate the SUSY KdV hierarchy as a vanishing curvature condition associated with the U(1) group and show how an Abelian self-duality condition in four dimensions can also lead to these equations.

scholarly journals SELF-DUALITY AND THE KdV HIERARCHY

1993 ◽  
Vol 08 (07) ◽  
pp. 661-665
Author(s):  
ASHOK DAS ◽  
C.A.P. GALVĀO
Keyword(s):  
The Self ◽  
Gauge Fields ◽  
Recursion Relations ◽  
Four Dimensions ◽  
Kdv Hierarchy ◽  
Self Duality ◽  
Duality Condition

We derive the entire KdV hierarchy as well as the recursion relations from the self-duality condition on gauge fields in four dimensions.

THE COMPLETE SUPERSPACE ACTION OF CHIRAL D=10, N=2 SUPERGRAVITY

1993 ◽  
Vol 08 (06) ◽  
pp. 1125-1138 ◽  
Author(s):  
LEONARDO CASTELLANI ◽  
IGOR PESANDO
Keyword(s):  
Field Strength ◽  
Lagrange Multiplier ◽  
Equation Of Motion ◽  
Space Time ◽  
The Self ◽  
Variational Equations ◽  
Self Duality ◽  
Duality Condition ◽  
Time Restriction

We construct the complete superspace action ℒ of chiral D=10, N=2 supergravity. The self-duality condition on the field strength Fa1 - a5 is derived as an equation of motion in superspace. The space-time restriction of ℒ is not supersymmetric, since the self-duality condition does not follow from the space-time variational equations. However, supersymmetry can be restored via the introduction of a Lagrange multiplier term.

Sign in / Sign up

Export Citation Format

Share Document