Local existence of N=1 supersymmetric gauge theory in four Dimensions

Journal Article · Thu Apr 16 00:00:00 EDT 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4917120· OSTI ID:22391487

Akbar, Fiki T. ^[1]; Gunara, Bobby E.; Zen, Freddy P.; Triyanta, ^[1]

---

1. Theoretical Physics Laboratory, Theoretical High Energy Physics and Instrumentation Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung Jl. Ganesha no. 10 Bandung, 40132 (Indonesia)

In this paper, we shall prove the local existence of N=1 supersymmetry gauge theory in 4 dimension. We start from the Lagrangian for coupling chiral and vector multiplets with constant gauge kinetic function and only considering a bosonic part by setting all fermionic field to be zero at level equation of motion. We consider a U(n) model as isometry for scalar field internal geometry. And we use a nonlinear semigroup method to prove the local existence.

• OSTI ID: 22391487
• Journal Information: AIP Conference Proceedings, Vol. 1656, Issue 1; Conference: APS 2012: 5. Asian Physics Symposium, Bandung (Indonesia), 10-12 Jul 2012; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRALITY
COUPLING
EQUATIONS OF MOTION
FERMIONS
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
LAGRANGIAN FUNCTION
MULTIPLETS
NONLINEAR PROBLEMS
QUANTUM FIELD THEORY
SCALAR FIELDS
SUPERSYMMETRY
U GROUPS
VECTORS