Classical open-string field theory: A∞-algebra, renormalization group and boundary states

Nakatsu, Toshio

doi:10.1016/s0550-3213(02)00495-9

Cited by 28 publications

(53 citation statements)

References 29 publications

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“…It would be interesting to investigate the relation to the boundary algebra [49] in boundary open string field theory [50] along the line of [51], where a proposal for a concrete definition of the boundary open string field theory was given as a limit of continuous deformation from Witten's cubic open string field theory. …”

Section: Summary and Discussionmentioning

confidence: 99%

Non-commutative space and Chan–Paton algebra in open string field algebra

Furuuchi

2002

Nuclear Physics B

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There are several equivalent descriptions for constant B-field background of open string. The background can be interpreted as constant B-field as well as constant gauge field strength or infinitely many D-branes with non-commuting Chan-Paton matrices. In this article, the equivalence of these open string theories is studied in Witten's cubic open string field theory. Through the map between these equivalent descriptions, both algebra of non-commutative coordinates as well as Chan-Paton matrix algebra are identified with subalgebras of open string field algebra.

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Section: Summary and Discussionmentioning

confidence: 99%

Non-commutative space and Chan–Paton algebra in open string field algebra

Furuuchi

2002

Nuclear Physics B

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“…The operation ∂ satisfies ∂ 2 = 0 [143] in the dual concept, that is, the integral domain with the weight function, of the forms. By using these definitions of the product structures, the Maurer-Cartan equation for degree one morphism O is Now, we show the nilpotency for C Q (H) in the following way.…”

Section: D-particle Field Category: a Toy Modelmentioning

confidence: 99%

Time and a Temporally Statistical Quantum Geometrodynamics

Konishi

2013

Int. J. Mod. Phys. A

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This paper is an exposition of the author's recent work on modeling M-theory vacua and quantum mechanical observers in the framework of a temporally statistical description of quantum geometrodynamics, including measurement processes based on the canonical theory of quantum gravity. In this paper we deal with several fundamental issues of time:the time-less problem in canonical quantum gravity; the physical origin of state reductions; and time-reversal symmetry breaking. We first model the observers and consider the timeless problem by invoking the time reparametrization symmetry breaking in the quantum mechanical world as seen by the observers. We next construct the hidden time variable theory, using a model of the gauged and affinized S-duality symmetry in type IIB string theory, as the statistical theory of time and explain the physical origin of state reductions using it. Finally, by the extension of the time reparametrization symmetry to all of the temporal hidden variables, we treat the issue of time reversal symmetry breaking as the spontaneous breaking of this extended time reparametrization symmetry. The classification of unitary time-dependent processes and the geometrizations of unitary and non-unitary time evolutions using the language of the derived category are also investigated.

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“…It takes the form 34) where N ∞ (z; k) andÑ ∞ (z; k) are operators consisting only of the annihilation modes:…”

Section: Construction Of Dual Boundary Statementioning

confidence: 99%

“…62). Although we do not describe their regularization here, the prescription used 34) for the cubic open-string field theory should be effective.…”

Section: Comparison With One-loop Amplitudes Of the Open-stringmentioning

confidence: 99%

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Open Wilson Lines as States of Closed String

Murakami

Nakatsu

2003

Progress of Theoretical Physics

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A system of a D-brane in bosonic string theory on a constant B field background is studied in order to obtain further insight into the bulk-boundary duality. Boundary states which describe arbitrary numbers of open-string tachyons and gluons are given. The UV behavior of field theories on the non-commutative world-volume is investigated by using these states. We take the zero-slope limits of the generating functions of one-loop amplitudes of gluons (and open-string tachyons) in which the region of the small open-string proper time is magnified. The existence of a B field allows the limits to be slightly different from the standard field theory limits of a closed-string. These limits enable us to obtain world-volume theories at a trans-string scale. In this limit the generating functions are shown to be factorized into two curved open Wilson lines (and their analogues) and become integrals on the space of paths with a Gaussian distribution around straight lines. These facts indicate the possibility that field theories on the non-commutative world-volume are topological at such a trans-string scale. We also give a proof of the Dhar-Kitazawa conjecture by determining an explicit correspondence between the closed-string states and the paths. Momentum eigenstates of closed-string or momentum loops also play an important role in these analyses. §1. IntroductionSystems of interacting open-and closed-strings play important roles in several aspects of string theory. It has been found out that even theories formulated as pure closed-strings have open-string sectors when they are accompanied by D-branes. 1) One of the most important features of such open-closed mixed systems is the duality between open-and closed-strings. This duality becomes manifest, for instance, by seeing one-loop diagrams of an open-string as tree propagations of a closed-string through modular transformations on the string world-sheets. In systems of D-branes, this duality should be a rationale for the correspondence between gauge theory on the world-volumes (the open-string sector) and gravity theory in the bulk space-time (the closed-string sector). The AdS/CFT correspondence 2)−4) may be regarded as one of the most remarkable examples of such a bulk-boundary correspondence. This viewpoint is emphasized also in Ref. 5).Nevertheless, it is very difficult to establish the correspondence between the two. This is essentially because light particles (IR effects) in one sector are realized by summing up whole massive towers (UV effects) in the other sector. When a constant B field background of closed-string is turned on, however, we expect that the situation * )

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Classical open-string field theory: A∞-algebra, renormalization group and boundary states

Cited by 28 publications

References 29 publications

Non-commutative space and Chan–Paton algebra in open string field algebra

Non-commutative space and Chan–Paton algebra in open string field algebra

Time and a Temporally Statistical Quantum Geometrodynamics

Open Wilson Lines as States of Closed String

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