Descent relations in type-0A and type-0B theories

We use theĉ = 1 matrix model to compute the potential energy V (C) for (the zero mode of) the RR scalar in two-dimensional type 0B string theory. The potential is induced by turning on a background RR flux, which in the matrix model corresponds to unequal Fermi levels for the two types of fermions. Perturbatively, this leads to a linear runaway potential, but non-perturbative effects stabilize the potential, and we find the exact expression V (C) = 1 2π da arccos cos(C)/ √ 1 + e −2πa . We also compute the finite-temperature partition function of the 0B theory in the presence of flux. The perturbative expansion is T-dual to the analogous result in type 0A theory, but non-perturbative effects (which depend on C) do not respect naive R → 1/R duality.

Section: The 0b Matrix Model and Its Deformationsmentioning

confidence: 99%

Non-perturbative RR Potentials in the c=1 Matrix Model

Gross

Walcher

2004

“…In fact, the 3 string junction should be thought of as a multi centred solution [19,20,21]. 4 For a recent review on type 0A and 0B theories, their D-branes see [23]. We will use the notation of that paper.…”

Section: Fermionic 3-string Junctionsmentioning

confidence: 99%

Fermions in bosonic string theories

David

Minwalla

Núñez

2001

We generalize the Jackiw-Rebbi-Hasenfratz-'t Hooft construction of fermions from bosons to demonstrate the fermionic nature of certain bound states involving SU (N ) instantons in even spatial dimensions and SO(N ) instantons in 8k + 1 spatial dimensions.We use this result to identify several fermionic excitations in various perturbatively bosonic string theories. In some examples we are able to identify these fermions as excitations in known conformal field theories and independently confirm their fermionic nature. Examples of the fermions we find include certain 3-string junctions in type 0B theory, excitations of the 0-p system in type 0A theory, excitations of the stable D-particle of type O theory, and a rich spectrum of fermions in the bosonic string compactified on the SO(32) group lattice.

“…The open string spectrum of (7.27) is 28) and therefore defines unprojected NS-representations of SVir. Thus the boundary states (7.27) are the analogues of Sen's non-BPS branes from type II [26] (see also [27]). The relative overlap between the two kinds of branes is also consistent since we find…”

Section: Nmentioning

confidence: 99%

“…For example, for odd N , the brane that corresponds to the identity matrix in SU(2) can be written in terms of 2M = M conventional Dirichlet branes that are equidistantly arranged around the circle and for which branes and antibranes alternate. ‡ On the other hand, the brane that corresponds to the matrix ( 0 1 −1 0 ) is described by N (unstable) Neumann branes (whose Wilson lines take equidistant values) that are the analogues of Sen's non-BPS branes from type II [26] (see also [27]). Indeed, ‡ For the case M = 1, this configuration is similar to the non-BPS D-brane that was constructed in [28].…”

Section: Nmentioning

confidence: 99%

Conformal boundary states for free bosons and fermions

Gaberdiel

Recknagel

2001

190

A family of conformal boundary states for a free boson on a circle is constructed. The family contains superpositions of conventional U(1)-preserving Neumann and Dirichlet branes, but for general parameter values the boundary states are fundamental and preserve only the conformal symmetry. The relative overlaps satisfy Cardy's condition, and each boundary state obeys the factorisation constraint.It is also argued that, together with the conventional Neumann and Dirichlet branes, these boundary states already account for all fundamental conformal Dbranes of the free boson theory. The results can be generalised to the situation with N = 1 world-sheet supersymmetry, for which the family of boundary states interpolates between superpositions of non-BPS branes and combinations of conventional brane anti-brane pairs.