TY - GEN
T1 - Nonlinear aspects of one-dimensional supersymmetry
AU - Howard, Eric
AU - Chowdhury, Iftekher S.
AU - Nagle, Ian
PY - 2022
Y1 - 2022
N2 - We discuss a number of interesting aspects of nonlinear supersymmetry in the general context of predicting the main candidates for beyond the Standard Model physics or understanding the dynamical behavior of strongly interacting quantum systems where the usual theoretical tools, such as perturbation theory are not applicable anymore. We focus on the relation between nonlinear supersymmetry as a natural generalization of linear supersymmetry and generalized statistics, drawing attention to exotic properties related to quantum anomalies, the emergence of hidden symmetries and nonlinear superconformal symmetry. We discuss distinctive properties of nonlinear supersymmetry and nonlinear superconformal symmetry and investigate one-dimensional quantized supersymmetric systems exhibiting nonlinear features. These properties provide a natural explanation for exotic features and anomalous dynamics in quantum systems, leading to various models and mechanisms in field theory, nonlinear wave physics, cosmology, and condensed matter physics.
AB - We discuss a number of interesting aspects of nonlinear supersymmetry in the general context of predicting the main candidates for beyond the Standard Model physics or understanding the dynamical behavior of strongly interacting quantum systems where the usual theoretical tools, such as perturbation theory are not applicable anymore. We focus on the relation between nonlinear supersymmetry as a natural generalization of linear supersymmetry and generalized statistics, drawing attention to exotic properties related to quantum anomalies, the emergence of hidden symmetries and nonlinear superconformal symmetry. We discuss distinctive properties of nonlinear supersymmetry and nonlinear superconformal symmetry and investigate one-dimensional quantized supersymmetric systems exhibiting nonlinear features. These properties provide a natural explanation for exotic features and anomalous dynamics in quantum systems, leading to various models and mechanisms in field theory, nonlinear wave physics, cosmology, and condensed matter physics.
U2 - 10.1007/978-3-030-81162-4_45
DO - 10.1007/978-3-030-81162-4_45
M3 - Conference proceeding contribution
SN - 9783030811617
T3 - NODYCON Conference Proceedings Series
SP - 515
EP - 523
BT - Advances in nonlinear dynamics
A2 - Lacarbonara, Walter
A2 - Balachandran, Balakumar
A2 - Leamy, Michael J.
A2 - Ma, Jun
A2 - Machado, J. A. Tenreiro
A2 - Stepan, Gabor
PB - Springer, Springer Nature
CY - Cham, Switzerland
T2 - Second International Nonlinear Dynamics Conference (NODYCON 2021)
Y2 - 16 February 2021 through 19 February 2021
ER -