The multi-field complex Bateman equation

DOI10.1023/A:1014984815286zbMATH Open1005.35065arXivhep-th/0106003OpenAlexW2997571036MaRDI QIDQ1599583

David B. Fairlie

Publication date: 11 June 2002

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Abstract: The multi-field generalisation of the Bateman equation arises from considerations of the continuation of String and Brane equations to the case where the base space is of higher dimension than the target space. The complex extension of this equation possesses a remarkably large invariance group, and admits a very simple implicit form for its general solution, in addition to the special case of holomorphic and anti-holomorphic explicit solutions. A class of inequivalent Lagrangians for this equation is discovered.

Full work available at URL: https://arxiv.org/abs/hep-th/0106003

zbMATH Keywords

reparametrisation invariance

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) PDEs in connection with quantum mechanics (35Q40) Quantum field theory; related classical field theories (81T99)

Related Items (1)

The complex Bateman equation in a space of arbitrary dimension.

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