Asia Pacific Physics Week 2023 (APPW2023)

Wednesday, Nov. 8, 2023 

3:30 PM - 4:10 PM  Plenary Talk  Yermek Aldabergenov (Al Farabi Kazakh National University) 

Higher-order superfield constraints in N=1 and N=2 supersymmetry

Yermek Aldabergenov

Department of Physics, Fudan University, Shanghai, China

Department of Theoretical and Nuclear Physics, Al-Farabi Kazakh National University, Almaty, Kazakhstan

Constrained superfields can be used capture effective low energy behavior of theories with spontaneously broken supersymmetry (SUSY). By consistently eliminating irrelevant degrees of freedom, they introduce new effective interactions and make SUSY non-linearly realized. Famous examples are quadratic nilpotency constraints on chiral superfields (X2=0), in N=1 and N=2 SUSY, which give rise to Volkov-Akulov (N=1 to N=0 SUSY breaking) and Born-Infeld (N=2 to N=1 breaking) theories respectively. In this talk I will discuss a new class of higher-order constraints which preserve a U(1) symmetry with the corresponding axion. For N=1 chiral (or vector) superfield the new constraint is cubic and describes N=1 to N=0 SUSY breaking, while for N=2 off-shell superfields the constraint is quintic and describes complete breaking of N=2 SUSY.