Heterotic supergravity with internal almostKähler spaces; instantons for SO(32), or E _{8} × E _{8}, gauge groups; and deformed black holes with soliton, quasiperiodic and/or patternforming structures
Abstract
Heterotic supergravity with (1 + 3)dimensional domain wall configurations and (warped) internal, six dimensional, almostKähler manifolds {{}^{6}}\text{X} are studied. Considering ten dimensional spacetimes with nonholonomic distributions and conventional double fibrations, 2 + 2 + ... = 2 + 2 + 3 + 3, and associated SU(3) structures on internal space, we generalize for real, internal, almost symplectic gravitational structures the constructions with gravitational and gauge instantons of tanhkink type [1, 2]. They include the first {α^{\prime}} corrections to the heterotic supergravity action, parameterized in a form to imply nonholonomic deformations of the YangMills sector and corresponding Bianchi identities. We show how it is possible to construct a variety of solutions depending on the type of nonholonomic distributions and deformations of ‘prime’ instanton configurations characterized by two real supercharges. This corresponds to N=1/2 supersymmetric, nonholonomic manifolds from the four dimensional point of view. Our method provides a unified description of embedding nonholonomically deformed tanhkinktype instantons into halfBPS solutions of heterotic supergravity. This allows us to elaborate new geometric methods of constructing exact solutions of motion equations, with first order {α^{\prime}} corrections to the heterotic supergravity. Such a formalism is applied for general and/or warped almostKähler configurations, which allows us to generate nontrivial (1 + 3)d domain walls and black hole deformations determined by quasiperiodic internal space structures. This formalism is utilized in our associated publication [3] in order to construct and study generic offdiagonal nonholonomic deformations of the Kerr metric, encoding contributions from heterotic supergravity.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 April 2017
 DOI:
 10.1088/13616382/aa61d2
 arXiv:
 arXiv:1611.00223
 Bibcode:
 2017CQGra..34g5012B
 Keywords:

 Physics  General Physics;
 High Energy Physics  Theory
 EPrint:
 latex 2e, 38 pages with table of contents, v3 accepted by CQG, with modified title and text, new section 4, following requests of editor/referees