Generalized supersymetric boundary state

Abstract

Following our previous paper (hep-th/9909027), we generalize a supersymmetric boundary state so that arbitrary configuration of the gauge field coupled to the boundary of the worldsheet is incorpolated. This generalized boundary state is BRST invariant and satisfies the non-linear boundary conditions with non-constant gauge field strength. This boundary state contains divergence which is identical with the loop divergence in a superstring σ model. Hence vanishing of the β function in the superstring σ model corresponds to a well-defined boundary state with no divergence. The coupling of a single closed superstring massless mode with multiple open string massless modes is encoded in the boundary state, and we confirm that derivative correction to the D-brane action in this sector vanishes up to the first non-trivial order O(α ′ ∂ 2 ). Combining T-dualities, we incorpolate also general configurations of the scalar fields on the D-brane, and construct boundary states representing branes stuck to another D-brane, with use of BIon configuration.

D-brane boundary states in the pure spinor superstring

“…Based on comparison with results in the RNS superstring (see, e.g., [45]) one expects that it should also be possible to write the boundary state in the form e S b (f ) |B(f = 0) , where S b (f ) is essentially the boundary action. Naively, one would expect…”

“…L mn f mn ) since this is the form of S b (f ) in the RNS boundary state (see, e.g., [45]). Here L mn is the boundary value of the RNS Lorentz current and one might think that the only modification one needs to do is to replace the RNS Lorentz current by its pure spinor analogue.…”

Derivative corrections to D-brane actions with constant background fields

“…In (2.2) η ∈ {+, −} is the spin structure and the subscripts R and NS refer to the Ramond and Neveu-Schwarz sectors, respectively. A formal BRST-invariant solution to the equations (2.1) is [27,28]…”

“…by calculating the overlap of the state representing the RR form fields with the boundary state. The extension of the boundary state method to incorporate a non-constant gauge field was recently discussed in detail [27,28] (see also [24]).…”

Super-Pohlmeyer invariants and boundary states for non-abelian gauge fields

“…by taking care that no local fields in the Wilson line ever come closer than some samll distance σ, then the above step becomes a triviality. Indeed, the result of [1] together with those of [11,12,3] shows that this is a viable approach, because the condition for the ǫ-regularized Wilson line to be still an invariant is the same as that of the non-regularized Wilson line to be free of divergences and hence well defined. This is discussed further in §3 (p.15).…”