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One Loop to Rule Them All: Eight and Nine Dimensional String Vacua from Junctions
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abstract
String and 5-brane junctions are shown to succinctly classify all known 8d ${\cal N}$=1 string vacua. This requires an extension of the description for ordinary $[p,q]$-7-branes to consistently include O7$^+$-planes, which then naturally encodes the dynamics of $\mathfrak{sp}_n$ gauge algebras, including their higher-form center symmetries. Central to this analysis are loop junctions, i.e., strings/5-branes which encircle stacks of 7-branes and O7$^+$'s. Loop junctions further signal the appearance of affine symmetries of emergent 9d descriptions at the 8d moduli space's boundaries. Such limits reproduce all 9d string vacua, including the two disconnected rank (1,1) moduli components.
Forward citations
Cited by 2 Pith papers
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Cobordism Utopia: U-Dualities, Bordisms, and the Swampland
For 8d maximal supergravity, the spin bordism groups Omega_k^Spin(B(SL(2,Z) x SL(3,Z))) for k=1..7 are computed and each generator is realized by a string/M/F-theory background, some of which are non-geometric.
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More on 8d non-supersymmetric branes and heterotic strings
The E8 non-supersymmetric heterotic string on T^2 has exactly 22 maximal gauge enhancements, found by two independent methods, with massless spectra listed for each.
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