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A Critical String Theory in (3+1)+4 Dimensions for the Standard Model with Three Generations of Fermions and Ultra-Heavy Sterile Right-Handed Neutrinos

2013/08/02 by J. S. Bhattacharyya, Bhattacharyya, J. S.
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Neutrino Physics Research #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.1308.0402

openalex publication_date 2013/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Redefining the vacuum state of a free two-fold N=1 covariant supersymmetric string action as the one with all the excited states of world-sheet fermions occupied, makes the theory anomaly free in (3+1)+4 dimensions. While in the NS sector the spectrum resembles the same for the standard N=1 superstring theory with one of the N species in the background, in the R sector both the species of fermions are required to describe the relevant spin operators to describe the fermion spectra. A crucial difference from the D=10, N=1 theory is that the fermions states are Dirac particles instead of Majorana-Weyl. Even though the full spectrum of the theory contains both bosons and fermions of various spin, there is no space-time supersymmetry due to obvious lack of triality. The four coordinates of the 4 dimensional Euclidean space describes a CP2 to define the confined gauge symmetry SU(3)C. The bosonization of their supersymmetric partners yields additional two coordinates to describe a S2 that defines the SU(2)L of the Standard Model. There should be three types of left-handed neutrinos. The right-handed neutrino becomes sterile. Spinors and gauge bosons derive their masses through coupling to the tachyons present in the spectrum via SSB and strings become point-particles below the critical temperature.

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