Generalization of boson-fermion equivalence and Fay's addition theorem

Kato, Hideyuki; Saito, Satoru

doi:10.1007/bf00399965

Cited by 5 publications

(4 citation statements)

References 11 publications

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“…Here G is an element of the universal Grassmannian introduced by M.Sato [5]. In the papers [2,6] one of the present authors showed that ( 14) can be rewritten by using string coordinates and satisfies explicitly the Hirota bilinear difference equation [3,4]. Namely we can write (14) as…”

Section: String-soliton Correspondence In the Case Of Open Stringsmentioning

confidence: 95%

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Soliton equations solved by the boundary CFT

Saito

Sato

2003

J. High Energy Phys.

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Section: String-soliton Correspondence In the Case Of Open Stringsmentioning

confidence: 95%

“…Here ∂ t means (∂ t1 , ∂ t2 , ∂ t3 , • • •). One soliton solution (6), for example, will be seen being generated from 0|e H(t) |0 = 1 by this operation. If we expand Λ(z)Λ * (z ′ ) as…”

Section: Correspondence Of Solitons In Two Theoriesmentioning

confidence: 99%

Soliton equations solved by the boundary CFT

Saito

Sato

2003

J. High Energy Phys.

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“…In terms of ξ one soliton solution, for example, is simply given by τ = 1 + e ξ , while the periodic solutions with arbitrary number of genus are given by [6,13]…”

Section: Introductionmentioning

confidence: 99%

D-brane correlators as solutions of Hirota-Miwa equation

Sato

Saito

2004

J. High Energy Phys.

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We present a tachyon field, which simply connects to the calculus of the tachyon condensation. The tachyon field acts on any bare boundary state: the Neumann or the Dirichlet state, and generates in a special case the boundary state suggested by S.P. de Alwis, which leads to the correct ratio between D-brane tensions. On the other hand we generalize the Hirota-Miwa equation to the case where there are two boundaries. We show that correlation functions made from only the integrand of the tachyon field satisfy the generalized Hirota-Miwa equation. Using the formulation based on this evidence, we suggest that the coordinates in which there exist tachyons on an unstable D-brane be identified with the soliton coordinates in integrable systems. We also evaluate these correlation functions, which have not yet been integrated, to obtain the local information about the tachyons on unstable D-branes. We further see how these amplitudes are affected through the tachyon condensation by integrating the correlators over the tachyon momenta and taking the on-shell limit.

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confidence: 99%