Heterotic $M$-Theory Hidden Sectors with an Anomalous $U(1)$ Gauge Symmetry

Abstract

The hidden sector of heterotic $M$-theory vacua whose gauge bundle contains an anomalous $U(1)$ factor is discussed in detail. The mathematical formalism for computing the inhomogeneous transformation of the dilaton and Kähler moduli axions under an anomalous $U(1)$ transformation is presented. Along with matter multiplets, which transform homogeneously under $U(1)$, the relevant part of the $U(1)$ invariant low energy hidden sector Lagrangian is presented and analyzed. A detailed mathematical formalism is given for rotating these field to a new basis of chiral superfields with normalized kinetic energy and a diagonal mass matrix. It is shown that the scalar and fermionic components of one such chiral superfield give rise to a massive $U(1)$ vector superfield, whose mass is composed of both anomalous and Higgs contributions associated with the inhomogeneous and homogeneous transformations respectively. Two explicit examples are presented, with vanishing and non-zero Fayet-Iliopoulos term respectively. The canonically normalized hidden sector Lagrangian given here is restricted to gauge interactions only. A study of higher order interactions of the moduli and matter multiplets, as well as the coupling to supergravity, will be presented elsewhere.

arXiv comment47 pages, extended the analysis to include the five-brane brane contribution

References in corpus (31)

• Eleven-Dimensional Supergravity on a Manifold with Boundary
• The Universe as a Domain Wall
• Getting just the Standard Model at Intersecting Branes
• An SU(5) Heterotic Standard Model
• A Heterotic Standard Model
• On the Four-Dimensional Effective Action of Strongly Coupled Heterotic String Theory
• Heterotic Line Bundle Standard Models
• Heterotic GUT and Standard Model Vacua from simply connected Calabi-Yau Manifolds
• Anomalies, Anomalous U(1)'s and generalized Chern-Simons terms
• Two Hundred Heterotic Standard Models on Smooth Calabi-Yau Threefolds
• Exploring Positive Monad Bundles And A New Heterotic Standard Model
• A Standard Model from the E8 x E8 Heterotic Superstring
• Holomorphic Vector Bundles and Non-Perturbative Vacua in M-Theory
• A Comprehensive Scan for Heterotic SU(5) GUT models
• Gaugino Condensation in M-theory on S^1/Z_2
• Stabilizing All Geometric Moduli in Heterotic Calabi-Yau Vacua
• Stability Walls in Heterotic Theories
• Heterotic Anomaly Cancellation in Five Dimensions
• Higgs-otic Inflation and String Theory
• Heterotic MSSM on a Resolved Orbifold
• Moduli Portal Dark Matter
• The B-L/Electroweak Hierarchy in Heterotic String and M-Theory
• Spontaneous R-Parity Breaking, Stop LSP Decays and the Neutrino Mass Hierarchy
• Beyond the Standard Embedding in M-Theory on S^1/Z_2
• Spontaneous R-Parity Breaking in SUSY Models
• LSP Squark Decays at the LHC and the Neutrino Mass Hierarchy
• Wilson Lines and a Canonical Basis of SU(4) Heterotic Standard Models
• Transitions in the Web of Heterotic Vacua
• Infinite number of MSSMs from heterotic line bundles?
• Supersymmetric Sneutrino-Higgs Inflation
• Hidden Sectors from Multiple Line Bundles for the $B-L$ MSSM

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