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Tropical Open Strings in a Kalb-Ramond Background

Year: 2026

Type: preprint

Abstract: We study tropical open strings arising from the analytically continued action of tropological sigma models in the presence of a constant Kalb-Ramond background. We show that the background field separates the theory into a generic sector and a critical sector. In the generic sector, the canonical structure produces a kinematical nonlocal bracket between the transverse and leafwise target-space coordinates. At the critical value of the Kalb-Ramond field, the Legendre map degenerates and the theory develops a primary constraint, requiring quantization by the Dirac-Bergmann procedure. This critical sector has a finite reduced phase-space structure and differs from the naive limit of the generic theory.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.25029

Authors: Duary, Sarthak, Hong, Vi, Maji, Sourav

Institutions: Tsinghua University, Homi Bhabha National Institute, Harish-Chandra Research Institute, University of California, Berkeley

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Tsinghua University

OpenAlex ID: W7204484795

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