Saturday, 8 August 2020

supersymmetry - Can pure-bosonic string theories exist in curved spacetime?


Question: Can there be a consistent non-supersymmetric pure-bosonic string theory in some curved spacetimes?



Reason: Since fields with certain amount of negative mass can exist in curved spacetime (cf. the Breitenlohner-Freedman bound in AdS) and since avoiding ground-state tachyons of pure-bosonic strings in flat spacetime seems to be the main motivation (besides phenomenological reasons) for superstrings in flat spacetime.


Extending this, are there examples of consistent AdS/CFT dualities involving pure-bosonic fields in the bulk?




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