Geometry of nonrelativistic string. (1st January 2023)

• Record Type: Journal Article
• Authors: Moinuddin, Sk; Mukherjee, Pradip
• Is Part Of: Physica scripta. Volume 98:Number 1(2023)
• Publication Date: 2023-01-01
• Subjects: nonrelativistic string -- Galilean gauge tgeory -- gauging the symmetry; Physics -- Periodicals; 530.05
• DOI: 10.1088/1402-4896/acab3e
• Languages: English
• ISSNs: 0031-8949

Abstract

Abstract: The nonrelativistic bosonic string theory in a curved manifold is formulated here using gauging of symmetry approach (Galilean Gauge theory). The corresponding model in flat space has some global symmetries. By localizing these symmetries as per Galilean Gauge theory, the action for the nonrelativistic string interacting with gravity is obtained. A canonical analysis of the model has been performed which demonstrate that the transformations of the basic field variables under gauge transformations in phase space are equivalent to the diffeomorphism parameters by an exact mapping. Thus complete consistency of our results from both Lagrangian and Hamiltonian procedures are established.