Year: 2025
Type: article
Abstract: In this paper, we discuss a general action for a particle in AdS3 using the nonlinear realization framework. Critical sectors are found and characterized in terms of the parameters appearing in the Lagrangian, generalizing the known results for AdS3/SO(2). A study of the dynamics of this system and of the geometrical meaning of the new terms in the action is also undertaken. Using two chiral copies of the general AdS2 Lagrangian, we obtain an AdS3 Lagrangian which is the same, although expressed in different variables, that the general AdS3 one, and from this one can identify the extra gauge transformations appearing in the critical sectors of the AdS3 theory. A differential equation connecting the AdS2[Formula: see text]×[Formula: see text]AdS2 chiral variables to the AdS3 covariant ones is obtained, and it is explicitly solved at first order in the Goldstone bosons associated to boosts and rotations.
Source: Geometric Mechanics
Authors: Carles Batlle, Joaquim Gomis
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: G1175115578, G1545928676, G1855990336, G1923596229, G2064873908, G210041235, G2262748287, G2309174360, G2601397997, G279363373, G288263039, G2981624247, G3005324705, G300979063, G34346518, G3480869486, G3518538256, G3681454997, G3774114341, G3780874795, G3978510197, G4042783231, G410571670, G425668148, G4294200505, G430777504, G4317403835, G451917667, G5080475149, G5338730000, G5421974903, G5845768719, G5852091828, G5883285439, G5915139351, G5967599077, G6816770786, G716185866, G8920660035, G897484643, G966035586, G99296377
OpenAlex ID: W4409667366