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.

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 NONCOMMUTATIVE EXTENDED WAVES AND SOLITON-LIKE CONFIGURATIONS IN N = 2 STRING THEORY

2003 ◽  
Vol 18 (26) ◽  
pp. 4889-4931 ◽  
Author(s):  
MATTHIAS IHL ◽  
SEBASTIAN UHLMANN
Keyword(s):  
Field Theory ◽  
String Theory ◽  
String Field Theory ◽  
Plane Waves ◽  
Equation Of Motion ◽  
Lax Pair ◽  
The Self ◽  
Yang Mills ◽  
Self Duality ◽  
Wave Solutions

The Seiberg–Witten limit of fermionic N = 2 string theory with nonvanishing B-field is governed by noncommutative self-dual Yang–Mills theory (ncSDYM) in 2+2 dimensions. Conversely, the self-duality equations are contained in the equation of motion of N = 2 string field theory in a B-field background. Therefore finding solutions to noncommutative self-dual Yang–Mills theory on ℝ2,2 might help to improve our understanding of nonperturbative properties of string (field) theory. In this paper, we construct nonlinear soliton-like and multi-plane wave solutions of the ncSDYM equations corresponding to certain D-brane configurations by employing a solution generating technique, an extension of the so-called dressing approach. The underlying Lax pair is discussed in two different gauges, the unitary and the Hermitian gauge. Several examples and applications for both situations are considered, including Abelian solutions constructed from GMS-like projectors, noncommutative U(2) soliton-like configurations and interacting plane waves. We display a correspondence to earlier work on string field theory and argue that the solutions found here can serve as a guideline in the search for nonperturbative solutions of nonpolynomial string field theory.

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

EXACT SOLUTIONS OF THE SELF-DUALITY EQUATIONS ON THE MINKOWSKI SPACE-TIME

2001 ◽  
Vol 12 (06) ◽  
pp. 801-806 ◽  
Author(s):  
V. MANTA ◽  
G. ZET
Keyword(s):  
Gauge Theory ◽  
Exact Solutions ◽  
Minkowski Space ◽  
Space Time ◽  
The Self ◽  
Gauge Fields ◽  
Self Duality ◽  
Minkowski Space Time ◽  
Dynamical Type ◽  
Analytical Program

A SU(2) Gauge Theory with spherical symmetry over the Minkowski space-time is considered. The self-duality equation of the gauge fields are written and their solutions are obtained. Two exact solutions, one of which is statical and another of dynamical type are given. All the calculations are performed using an analytical program written in GRTensor computer algebra package, which runs on the MapleV platform.

GENERALIZED SELF-DUAL BOSONIC p-BRANES AND INSTANTON-LIKE SOLUTIONS

1990 ◽  
Vol 05 (12) ◽  
pp. 911-915
Author(s):  
R. P. ZAIKOV
Keyword(s):  
Dimensional Space ◽  
Space Time ◽  
The Self ◽  
Self Duality ◽  
Pure Gauge ◽  
Dimensional Space Time ◽  
Euclidean Action

The self-dual classical bosonic p-branes are generalized for D = (p + 1) q dimensional space-time. When q > 1, the action is no more pure gauge. Some instanton-like solutions of the self-duality equations which minimize the Euclidean action are discussed.

scholarly journals ALTERNATIVE FORMULATION FOR DUALITY-SYMMETRIC 11-DIMENSIONAL SUPERGRAVITY COUPLED TO SUPER M-5-BRANE

1999 ◽  
Vol 14 (15) ◽  
pp. 977-992 ◽  
Author(s):  
HITOSHI NISHINO
Keyword(s):  
Field Strength ◽  
Tensor Field ◽  
The Self ◽  
Gauge Fields ◽  
Necessary Condition ◽  
Alternative Formulation ◽  
Field Equations ◽  
Self Duality ◽  
Form Field ◽  
Brane Action

We present an alternative formulation of duality-symmetric 11-dimensional supergravity with both three-form and six-form gauge fields. Instead of the recently-proposed scalar auxiliary field, we use a simpler Lagrangian with a non-propagating auxiliary multiplier tensor field with eight-indices. We also complete the superspace formulation in a duality-symmetric manner. An alternative super M-5-brane action coupled to this 11-dimensional background is also presented. This formulation bypasses the usual obstruction for an invariant Lagrangian for a self-dual three-form field strength, by allowing the self-duality only as a solution for field equations, but not as a necessary condition.

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.

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