Abstract
Heterotic supergravity with (1+3)–dimensional domain wall configurations and (warped) internal, six dimensional, almost-Kähler manifolds 6 X are studied. Considering on ten dimensional spacetime, nonholo-nomic distributions with 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 tanh-kink type [1, 2]. They include the first α ′ corrections to the heterotic supergravity action, parameterized in a form to imply nonholonomic deformations of the Yang-Mills 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 tanh-kink-type instantons into half-BPS solutions of heterotic supergravity. This allows us to elaborate new geometric methods of constructing exact solutions of motion equations, with first order α ′ corrections to the heterotic supergravity. Such a formalism is applied for general and/or warped almost-Kähler configurations, which allows us to generate nontrivial (1+3)-d domain walls. This formalism is utilized in our associated publication [3] in order to construct and study generic off-diagonal nonholonomic deformations of the Kerr metric, encoding contributions from heterotic supergravity.
<p>arXiv:submit/1624497 [hep-th] 27 Jul 2016Heterotic Supergravity with Internal Almost-Kähler
Configurations and Gauge SO(32), or E8 × E8, Instantons
Laurenţiu Bubuianu
TVR Iaşi, 33 Lascaˇr Catargi street, 700107 Iaşi, Romania
email: laurentiu.bubuianu@tvr.ro
Klee Irwin
Quantum Gravity Research; 101 S. Topanga Canyon Blvd # 1159. Topanga, CA 90290, USA
email: klee@quantumgravityresearch.org
Sergiu I. Vacaru
Quantum Gravity Research; 101 S. Topanga Canyon Blvd # 1159. Topanga, CA 90290, USA
and
University "Al. I. Cuza" Iaşi, Project IDEI
18 Piaţa Voevozilor bloc A 16, Sc. A, ap. 43, 700587 Iaşi, Romania
email: sergiu.vacaru@gmail.com
July 28, 2016
Abstract
Heterotic supergravity with (1+3)–dimensional domain wall configurations and (warped) internal, six
dimensional, almost-Kähler manifolds 6X are studied. Considering on ten dimensional spacetime, nonholo-
nomic distributions with 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 construc-
tions with gravitational and gauge instantons of tanh-kink type [1, 2]. They include the first α′ corrections
to the heterotic supergravity action, parameterized in a form to imply nonholonomic deformations of the
Yang-Mills 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 configu-
rations 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 tanh-kink-type instantons into half-BPS solutions of heterotic supergravity. This
allows us to elaborate new geometric methods of constructing exact solutions of motion equations, with first
order α′ corrections to the heterotic supergravity. Such a formalism is applied for general and/or w