2024/01/08 by Astesiano, D., Ruggeri, D., Trigiante, M. · 1 citation
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2401.04209
We exploit the presence of moduli fields in the \rm AdS3× S3× CY2, where CY2=T4 or K3, solution to Type IIB superstring theory, to construct a U-fold solution with geometry \rm AdS2× S1× \rm S3× CY2. This is achieved by giving a non-trivial dependence of the moduli fields in \rm SO(4,n)/\rm SO(4)× \rm SO(n) (n=4 for CY2=T4 and n=20 for CY2=K3 ), on the coordinate η of a compact direction S1 along the boundary of \rm AdS3, so that these scalars, as functions of η, describe a geodesic on the corresponding moduli space. The back-reaction of these evolving scalars on spacetime amounts to a splitting of \rm AdS3 into \rm AdS2× S1 with a non-trivial monodromy along S1 defined by the geodesic. Choosing the monodromy matrix in \rm SO(4,n; ℤ), this supergravity solution is conjectured to be a consistent superstring background. We generalize this construction starting from an ungauged theory in D=2d, d odd, describing scalar fields non-minimally coupled to (d-1)-forms and featuring solutions with topology \rm AdSd× Sd, and moduli scalar fields. We show, in this general setting, that giving the moduli fields a geodesic dependence on the η coordinate of an S1 at the boundary of \rm AdSd is sufficient to split this space into \rm AdSd-1× S1, with a monodromy along S1 defined by the starting and ending points of the geodesic. This mechanism seems to be at work in the known J-fold solutions in D=10 Type IIB theory and hints towards the existence of similar solutions in the Type IIB theory compactified on CY2. We argue that the holographic dual theory on these backgrounds is a 1+0 CFT on an interface in the 1+1 theory at the boundary of the original \rm AdS3.