Pith. sign in

Inverse Scattering and the Geroch Group

2 Pith papers cite this work. Polarity classification is still indexing.

2 Pith papers citing it
abstract

We study the integrability of gravity-matter systems in D=2 spatial dimensions with matter related to a symmetric space G/K using the well-known linear systems of Belinski-Zakharov (BZ) and Breitenlohner-Maison (BM). The linear system of BM makes the group structure of the Geroch group manifest and we analyse the relation of this group structure to the inverse scattering method of the BZ approach in general. Concrete solution generating methods are exhibited in the BM approach in the so-called soliton transformation sector where the analysis becomes purely algebraic. As a novel example we construct the Kerr-NUT solution by solving the appropriate purely algebraic Riemann-Hilbert problem in the BM approach.

citation-role summary

background 1

citation-polarity summary

fields

hep-th 2

years

2026 2

verdicts

UNVERDICTED 2

roles

background 1

polarities

background 1

representative citing papers

Multi--black holes in Bertotti--Robinson spacetime

hep-th · 2026-06-26 · unverdicted · novelty 6.0

Constructs multi-center extremal black hole solutions in Bertotti-Robinson spacetime via monodromy-matrix factorization, producing Majumdar-Papapetrou-type metrics with AdS2 × S2 near-horizons and BR asymptotics.

Monodromy-Matrix Description of Extremal Multi-centered Black Holes

hep-th · 2026-04-07 · unverdicted · novelty 6.0

The authors derive explicit monodromy matrices for Bena-Warner BPS solutions and almost-BPS configurations including two-center black rings, factorize them via nilpotent elements of so(4,4), and construct an SO(4,4) duality relating branches of the Rasheed-Larsen solution.

citing papers explorer

Showing 2 of 2 citing papers.

  • Multi--black holes in Bertotti--Robinson spacetime hep-th · 2026-06-26 · unverdicted · none · ref 31 · internal anchor

    Constructs multi-center extremal black hole solutions in Bertotti-Robinson spacetime via monodromy-matrix factorization, producing Majumdar-Papapetrou-type metrics with AdS2 × S2 near-horizons and BR asymptotics.

  • Monodromy-Matrix Description of Extremal Multi-centered Black Holes hep-th · 2026-04-07 · unverdicted · none · ref 62

    The authors derive explicit monodromy matrices for Bena-Warner BPS solutions and almost-BPS configurations including two-center black rings, factorize them via nilpotent elements of so(4,4), and construct an SO(4,4) duality relating branches of the Rasheed-Larsen solution.