A string field theoretical description of (p,q) minimal superstrings

Abstract

A string field theory of (p, q) minimal superstrings is constructed with the freefermion realization of 2-component KP (2cKP) hierarchy, starting from 2-cut ansatz of two-matrix models. Differential operators of 2cKP hierarchy are identified with operators in super Liouville theory, and we obtain algebraic curves for the disk amplitudes of η = −1 FZZT-branes and the partition functions of neutral/charged η = −1 ZZ branes, which correctly reproduce those of type 0B (p, q) minimal superstrings in conformal backgrounds. In the course of study, some subtle points are clarified, including a difference of (p, q) even/odd models and quantization of flux, and we show that the Virasoro constraints naturally incorporate quantized fluxes without ambiguity. We also argue within this string field framework that type 0A minimal superstrings can be obtained by orbifolding the type 0B strings with a Z 2 symmetry existing when special backgrounds are taken. *

Notes on D-branes and dualities in (p,q) minimal superstring theory

“…From the viewpoints of string field formulation [33,34,35,38], this contribution comes from the normal ordering with respect to SL(2, C) invariant vacuum of ζ [33].…”

“…Since we can extract all the closed-string degrees of freedom from the principal η = −1 FZZT and its anti-FZZT branes [38], it is natural to think of the principal η = −1 FZZT brane as independent degrees of freedom.…”

“…Noncritical (super)string theories have been investigated as a useful laboratory of critical string theory and have been discussed in various contexts: the worldsheet description [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19], matrix models [20,21,22,23,24,25,26,27,28,29,30,31,32] and the string field theoretical descriptions [33,34,35,36,37,38,39].…”

Nanofilm thickness measurement by resonant frequencies

“…Furthermore, there exists a string field theory [5 -10] which can completely describe both of fundamental strings (FZZT branes) and D-branes (D-instantons, ZZ branes), and has a clear relationship with Liouville-theory analysis [11 -18]. In particular, in [10] the spacetime which noncritical superstrings describe is clarified in terms of the two-component KP hierarchy.…”

“…In section 2, we make a brief review on type 0 minimal superstring theory and its string-field formulation [10]. In section 3, we explicitly give a solution to the W 1+∞ constraints in the case ofp = 1 minimal superstring theory, and show that the partition function of the (m, n)-instanton sector with m positive-charged and n negative-charged ZZ-branes has a simple integral representation.…”