Construction and analysis of anomaly-free supersymmetric SO(2N)/U(N) sigma-models

Abstract

This paper discusses a procedure for the consistent coupling of gauge- and matter superfields to supersymmetric sigma-models on symmetric coset spaces of Kaehler type. We exhibit the finite isometry transformations and the corresponding Kaehler transformations. These lead to the construction of a generalized type of Killing potentials. In certain cases a charge quantization condition needs to be imposed to guarantee the global existence of a line bundle on a coset space. The results are applied to the explicit construction of sigma-models on cosets SO(2N)/U(N). Only a finite number of these models can consistently incorporate matter in representations descending from the spinorial representations of SO(2N). We investigate in detail some aspects of the vacuum structure of the gauged SO(10)/U(5) theory, with surprising results: the fully gauged minimal anomaly-free model is shown be singular, as the kinetic terms of the quasi-Goldstone fermions vanish in the vacuum. Gauging only the linear isometry group SU(5)xU(1), or one of its subgroups, can give a physically well-behaved theory. With gauged U(1) this requires the Fayet-Iliopoulos term to take values in a specific limited range.

40 pages, LaTeX, no figures

References in corpus (3)

• Matter coupling and anomaly cancellation in supersymmetric sigma-models
• Line bundles in supersymmetric coset models
• Consistent sigma-models in N=1 supergravity

Cited by in corpus (11)

• Resolutions of C^n/Z_n Orbifolds, their U(1) Bundles, and Applications to String Model Building
• Higher Derivative Corrections to Manifestly Supersymmetric Nonlinear Realizations
• Extended Supersymmetric sigma-Model Based on the SO(2N+1) Lie Algebra of the Fermion Operators
• Remarks on the Mean-Field Theory Based on the SO(2N+1) Lie Algebra of the Fermion Operators
• Singular supersymmetric sigma models
• SO(2N)/U(N) Riccati-Hartree-Bogoliubov Equation Based on the SO(2N) Lie Algebra of the Fermion Operators
• Anomaly-Free Supersymmetric SO(2N+2)/U(N+1) sigma-Model Based on the SO(2N+1) Lie Algebra of the Fermion Operators
• Mean-field theory based on the \mathfrak{Jacobi~hsp} := semi-direct sum \mathfrak{h}_N \rtimes \mathfrak{sp}(2N,\mathbb{R})_\mathbb{C} algebra of boson operators
• Using C++ to Calculate $\mathsf{SO}(10)$ Tensor Couplings
• Phenomenological analysis of supersymmetric $\gs$--models on coset spaces SO(10)/U(5) and E_6/[SO(10)\times U(1)]
• Gauged supersymmetric $\gs$--models and soft breaking terms