Explicit worldsheet constructions of 9d junctions joining several 10d string theories via generalized RG flow interpolations and closed tachyon condensation, providing dynamical realizations of multi-theory cobordisms.
A Note On Some Minimally Supersymmetric Models In Two Dimensions
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abstract
We explore the dynamics of a simple class of two-dimensional models with $(0,1)$ supersymmetry, namely sigma-models with target $S^3$ and the minimal possible set of fields. For any nonzero value of the Wess--Zumino coupling $k$, we describe a superconformal fixed point to which we conjecture that the model flows in the infrared. For $k=0$, we conjecture that the model spontaneously breaks supersymmetry. We further explore the question of whether this model can be continuously connected to one that spontaneously breaks supersymmetry by "flowing up and down the renormalization group trajectories," in a sense that we describe. We show that this is possible if $k$ is a multiple of 24, or equivalently if the target space with its $B$-field is the boundary of a "string manifold." The mathematical theory of "topological modular forms" suggests that this condition is necessary as well as sufficient.
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Family unification models from E7 cosets have no global sigma model anomalies because the torsion parts of their bordism groups vanish, as computed via the Atiyah-Hirzebruch spectral sequence, including when isotropy subgroups are gauged.
A consistent set of rules from M-theory on S¹ ∨ S¹ combined with type I' enhancements reproduces the light spectra, gauge groups, and global structure of ten-dimensional heterotic string theories, with indications of junctions between them.
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The Art of Branching: Cobordism Junctions of 10d String Theories
Explicit worldsheet constructions of 9d junctions joining several 10d string theories via generalized RG flow interpolations and closed tachyon condensation, providing dynamical realizations of multi-theory cobordisms.
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Anomalies in family unification models from bordism classification
Family unification models from E7 cosets have no global sigma model anomalies because the torsion parts of their bordism groups vanish, as computed via the Atiyah-Hirzebruch spectral sequence, including when isotropy subgroups are gauged.
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Heterotic Ouroboros
A consistent set of rules from M-theory on S¹ ∨ S¹ combined with type I' enhancements reproduces the light spectra, gauge groups, and global structure of ten-dimensional heterotic string theories, with indications of junctions between them.