Hidden Symmetry Transformations Research Articles

Smooth non-extremal D1-D5-P solutions as charged gravitational instantons

We present an alternative and more direct construction of the non-supersymmetric D1-D5-P supergravity solutions found by Jejjala, Madden, Ross and Titchener. We show that these solutions --- with all three charges and both rotations turned on --- can be viewed as a charged version of the Myers-Perry instanton. We present an inverse scattering construction of the Myers-Perry instanton metric in Euclidean five-dimensional gravity. The angular momentum bounds in this construction turn out to be precisely the ones necessary for the smooth microstate geometries. We add charges on the Myers-Perry instanton using appropriate SO(4,4) hidden symmetry transformations. The full construction can be viewed as an extension and simplification of a previous work by Katsimpouri, Kleinschmidt and Virmani.

Extended double structures and new multiple infinite-dimensional symmetries for the emda theory with two vector fields

The previously proposed extended double (ED)-complex method is used to further study the Einstein-Maxwell-dilaton-axion theory with 2 vector fields (EMDA-2 theory, for brevity). Some ED structures of dimensionally reduced EMDA-2 theory are found. An ED-complex matrix H -potential is constructed and the motion equations are extended to an ED-complex form. Moreover, an ED-duality mapping is introduced and two pairs of ED-complex Hauser-Ernst-type linear systems are established. Basing on these linear systems, new sets of multiple hidden symmetry transformations for the EMDA-2 theory are explicitly constructed. Then these symmetry transformations are verified to constitute multiple infinite-dimensional Lie algebras, each of which is a semidirect product of the Kac-Moody s u ( 2 , 2 ) ^ and Virasoro algebras (without centre charges). These results demonstrate that the theory under consideration possesses much richer symmetry structures than previously expected, and the ED-complex method is necessary and more effective.

EXTENDED DOUBLE-COMPLEX LINEAR SYSTEMS AND NEW DOUBLE INFINITE-DIMENSIONAL HIDDEN SYMMETRIES FOR THE EINSTEIN–KALB–RAMOND THEORY

By using a so-called extended double (ED)-complex method, the previously found doubleness symmetry of the dimensionally reduced Einstein–Kalb–Ramond (EKR) theory is further exploited. A 2d × 2d matrix double-complex H-potential is constructed and the field equations are written in a double-complex formulation. A pair of ED-complex Hauser–Ernst-type linear systems are established. Based on these linear systems, explicit formulations of new double hidden symmetry transformations for the EKR theory are given. These symmetry transformations are verified to constitute double infinite-dimensional Lie algebras, each of which is a semidirect product of the Kac–Moody [Formula: see text] and Virasoro algebras (without center charges). These results demonstrate that the EKR theory under consideration possesses richer symmetry structures than previously expected, and the ED-complex method is necessary and more effective.

More Nonlocal Conserved Currents in Chiral Sigma Models

The infinite many nonlocal conserved currents are given for the principal chiral model. Wess–Zumino–Witten chiral model and the supersymmetric chiral model with respect to the new hidden symmetry transformations. It is shown that these conserved currents are related to the classical –matrix and thus decompose into many families. The approach used here provides a systematic method to derive the Casimir operators for the infinite dimensional Lie algebras in its nonunitary and nonhighest weight representations.

On a generalization of the hidden symmetry transformations for the principal chiral model

Nonlocal hidden symmetry transformations with a generalized structure and boundary conditions at spatial infinity for the principal chiral model are proposed. Additional restrictions on these transformations following from the requirement for the existence of an infinite set of conserved nonlocal charges are analyzed. The corresponding Lie algebra is more general than the Kac-Moody one.

Supersymmetric chiral field with anomaly and its integrability

This paper proposes a supersymmetric generalization of the two-dimensional chiral field with anomaly. It is shown that this model admits a zero-curvature representation. Hidden symmetry transformations that form a current algebra are obtained together with higher conservation laws.

Group structure of hidden symmetry transformations for supersymmetric nonlinear sigma models

The author investigates the group structure of the hidden symmetry transformations for classical two-dimensional supersymmetric generalized nonlinear sigma models. It is shown that the generators with positive and with negative index separately form infinite closed Lie algebras isomorphic to the algebra that is partially the Lie algebra of the subgroup G that leaves the initial data invariant and F(t) is the class of rational functions.