Evolution of D-branes under closed string tachyon condensation

Abstract

We study the evolution of stable D-branes of C/Z n and twisted circle theories in the process of closed string tachyon condensation. We interpret the fractional branes in these backgrounds as type II branes wrapping ('blown up') cycles, and trace the evolution of the corresponding cycles under tachyon condensation. We also study RG flows of the corresponding N = 2 boundary conformal field theories. We find flows along which fractional D-branes either disappear or evolve into other fractional D-branes, and other flows along which bulk branes either disappear or evolve into stable branes.

On tachyons, gauged linear sigma models, and flip transitions

“…Thus subsequent resolutions by T 8 or T 3 represent flat directions of the full tachyon potential: the existence of these two independent flat directions in spacetime is reflected by the existence of the plane of the two marginal U(1)'s in the GLSM. 16 Thus the renormalization group drives the system to the large r region along the direction of the flow-ray, preserving a plane of flat directions. The possibility of turning on the residual moduli yields four possible distinct stable endpoints, listed in table 1.…”

“…Unresolved orbifold [8] → partial resolution by T 1 [2]. 16 In general, it is possible that the flat directions in spacetime are appropriate combinations of the subsequent tachyonic twisted states in the GLSM. 17 Equivalently we could use the charge matrix corresponding to (3.26).…”

On localized tachyon condensation in C2/Zn and C3Sarkar1 2004Nuclear Physics B150290View full textAdd to dashboardCite

“…(12). The low energy theory is an orbifold of the D-brane gauge theory in flat space and is obtained by the action of the quotienting group on the coordinates and the Chan Paton indices.…”

“…5 The sign of r determines the UV and IR regions of the theory. We follow the convention of [12], the UV is r ≫ 0 and the IR is r ≪ 0.…”

“…Hence, we can now solve for the fields in the chiral multiplet in terms of the gauge multiplet fields, and putting this back into the kinetic term for the chiral multiplet, we can read off the sigma model metric. Let us illustrate this with the example of the C/Z n orbifold [12]. This can be described by a GLSM with a single U(1), with two chiral fields given by charges (−n, 1) under this U(1).…”