As to the field of certain fermionic superstrings

A one-dimensional superstring bears a two-dimensional field -- in terms of its core-field-density.  This so-stated core-field-density works to form a hoop-like field that the said one-dimensional superstring is inscribed in.  Let us say that the condition of such an inscription is parametrically flush, at the Poincaire level.  So, when the kinematic-based activity, that works to form the Lagrangian of a given arbitrary superstring of discrete energy permittivity, is delineated over time -- by the traceable mapping of the so-eluded-to two-dimensional core-field-density -- via the accompanying motion of the so-stated one-dimensional superstring that is moving in a directoral tense, of which is in the relative direction of one of its two Gliossi-based spatial parameters that are not of its general relative length, then, the integration of the eigenstates of the said one-dimensional string's core-field-density related Hodge-based integrands will work to form a cylindrical-based world-sheet that may be of a Rham-based nature.  This is if the so-eluded-to motion of the said one-dimensional superstring is moving via a harmonic eigenbasis of vibration that is on the relative Real Reimmanian Plane, that is also moving through a unitary Lagrangian.  Since this is partially because the so-eluded-to Lagrangian is unitary here, the correlative integration of the Hodge-based integrands of the corresponding core-field-density eigenstates will here bear a parametric-based tense of a hermitian flow of motion.  This means that such a case scenario does not involve any Lagrangian-based Chern-Simmons singularities.  And, since the so-eluded-to vibrational context of this cohomological-based integration of world-sheets is of a harmonic nature, the metrical flow of the pulsation of the so-stated integration is of a Hodge-based core-field-density, in terms of the vibrational behavior of the correlative eigenstates that are of the so-stated core-field-density that works to comprise the immediate field that is extended from the directly corresponding one-dimensional superstring of discrete energy permittiviity, at the Poincaire level, to where this will also be of a hermitian nature. (There will here be no metrical-based  spurs of Chern-Simmons singularity appertaining to the conditions that I have described of as to what such a one-dimensional superstring of discrete energy permittivity is doing in this case scenario.)  Yet, the morphological context of the core-field-density that directly corresponds to a one-dimensional superstring, when the directoral eigenbasis of its flow and vibration are different, will be both of a different shape in mappable tracing, and, of a different genus of extrapolatable singularities.