Unwinding strings in semi-flatland

Abstract

We study the dynamics of strings with non-zero winding number around T-duality defects. We deduce that the physics near the core of such non-geometric objects involves winding modes that are not captured by the supergravity approximation, and we argue that such corrections are T-dual to the modes responsible for quantum corrections of semi-flat elliptic metrics. We furthermore construct a solution of double field theory that captures part of such near-core physics.Comment: 27 pages; v2: references added; v3: published version, reference adde

NS5 Duals in Supergravity and Double Field Theory

“…The cases of our interest are summarised in table 1. Explicit trajectories and their unwinding physics are discussed in [28]. We will here outline the main conclusions and refer to the original reference for details.…”

“…However, one can perform a regularisation procedure together with a Poisson resummation to obtain [12,28] h(r,…”

“…However, stepwise duality has some global issues that are avoided if one considers direct dualisation from the NS5. For a more detailed discussion, see [28]. a small calculation, one can read how momentum and winding numbers change when going around the brane.…”

“…The corresponding DFT configurations have vanishing generalised curvature R MN and are therefore solutions to the equations of motion of the action (3.2). A more detailed analysis of such solutions can be found in [28]. Also their near brane limit was considered in [26,27] …”

A Kaluza–Klein Approach to Double and Exceptional Field Theory

“…Here though we see the first clear departure from the Kaluza-Klein paradigm, the reduction of the theory by definition obeys (35) but for Kaluza-Klein theory the unreduced theory has no constraints. Here the 'unreduced theory' still obeys a (quite stringent) constraint, (33). Note that the constraint (33) is weaker than the constraint (35) and so it is certainly still a reduction of the theory.…”