How covariant closed string theory solves a minimal area problem

Barton Zwiebach

doi:10.1007/bf02096792

QUANTUM CLOSED STRINGS FROM MINIMAL AREA

Modern Physics Letters A ◽

10.1142/s0217732390003218 ◽

1990 ◽

Vol 05 (32) ◽

pp. 2753-2762 ◽

Cited By ~ 29

Author(s):

BARTON ZWIEBACH

Keyword(s):

Exact Solution ◽

Quantum Theory ◽

String Theory ◽

Master Equation ◽

Closed String ◽

Feynman Rules ◽

Higher Genus ◽

Quantum Action ◽

Full Quantum ◽

Minimal Area

Canonical and factorizable off-shell amplitudes for covariant closed string theory can be obtained from string diagrams of minimal area. Evidence is given that all higher genus minimal area string diagrams can be built using vertices and propagators, implying that the off-shell amplitudes arise from the Feynman rules of a full quantum theory of closed strings. The quantum action gives an exact solution of the full master equation of Batalin and Vilkoviski.

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Partition function and open/closed string duality in type IIA string theory on a pp-wave

Nuclear Physics B ◽

10.1016/j.nuclphysb.2003.07.015 ◽

2003 ◽

Vol 669 (1-2) ◽

pp. 78-102 ◽

Cited By ~ 7

Author(s):

Hyeonjoon Shin ◽

Katsuyuki Sugiyama ◽

Kentaroh Yoshida

Keyword(s):

String Theory ◽

Partition Function ◽

String Duality ◽

Closed String ◽

Pp Wave

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LATTICE QCD AND STRING THEORY

International Journal of Modern Physics A ◽

10.1142/s0217751x06031910 ◽

2006 ◽

Vol 21 (04) ◽

pp. 699-706 ◽

Cited By ~ 1

Author(s):

JULIUS KUTI

Keyword(s):

String Theory ◽

Lattice Qcd ◽

Excitation Spectrum ◽

Ground State ◽

Gauge Theories ◽

Casimir Energy ◽

Closed String ◽

Compact Dimension ◽

Electric Flux ◽

String Formation

Bosonic string formation in gauge theories is reviewed with particular attention to the confining flux in lattice QCD and its string theory description. Recent results on the Casimir energy of the ground state and the string excitation spectrum are analyzed in the Dirichlet string limit of large separation between static sources. The closed string-soliton (torelon) with electric flux winding around a compact dimension is also discussed.

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On integrable c < 1 open-closed string theory

Nuclear Physics B ◽

10.1016/0550-3213(94)90430-8 ◽

1994 ◽

Vol 414 (1-2) ◽

pp. 239-266 ◽

Cited By ~ 9

Author(s):

Clifford V. Johnson

Keyword(s):

String Theory ◽

Closed String

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Does the HM mechanism work in string theory?

Canadian Journal of Physics ◽

10.1139/cjp-2012-0163 ◽

2013 ◽

Vol 91 (1) ◽

pp. 75-80

Author(s):

Alireza Sepehri ◽

Somayyeh Shoorvazi ◽

Mohammad Ebrahim Zomorrodian

Keyword(s):

Hilbert Space ◽

Black Hole ◽

String Theory ◽

Correspondence Principle ◽

Black Hole Entropy ◽

Closed String ◽

Centre Of Mass ◽

Final State ◽

Information Transformation ◽

Left And Right

The correspondence principle offers a unique opportunity to test the Horowitz and Maldacena mechanism at the correspondence point “the centre of mass energies around (Ms/(gs)2)”. First by using the Horowitz and Maldacena proposal, the black hole final state for closed strings is studied and the entropy of these states is calculated. Then, to consider the closed string states, a copy of the original Hilbert space is constructed with a set of creation–annihilation operators that have the same commutation properties as the original ones. The total Hilbert space is the tensor product of the two spaces Hright ⊗ Hleft, where in this case Hleft/right denote the physical quantum state space of the closed string. It is shown that closed string states can be represented by a maximally entangled two-mode squeezed state of the left and right spaces of closed string. Also, the entropy for these string states is calculated. It is found that black hole entropy matches the closed string entropy at transition point. This means that our result is consistent with correspondence principle and thus HM mechanism in string theory works. Consequently the unitarity of the black hole in string theory can be reconciled. However Gottesman and Preskill point out that, in this scenario, departures from unitarity can arise due to interactions between the collapsing body and the infalling Hawking radiation inside the event horizon and information can be lost. By extending the Gottesman and Preskill method to string theory, the amount of information transformation from the matter to the state of outgoing Hagedorn radiation for closed strings is obtained. It is observed that information is lost for closed strings.

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Manifest non-locality in quantum mechanics, quantum field theory and quantum gravity

International Journal of Modern Physics A ◽

10.1142/s0217751x19410045 ◽

2019 ◽

Vol 34 (28) ◽

pp. 1941004

Author(s):

Laurent Freidel ◽

Robert G. Leigh ◽

Djordje Minic

Keyword(s):

Quantum Theory ◽

String Theory ◽

Quantum Gravity ◽

Closed String ◽

Covariant Formulation ◽

Quantum Field ◽

Quantum Geometry ◽

Local Quantum ◽

Generic Representation ◽

Non Locality

We summarize our recent work on the foundational aspects of string theory as a quantum theory of gravity. We emphasize the hidden quantum geometry (modular spacetime) behind the generic representation of quantum theory and then stress that the same geometric structure underlies a manifestly T-duality covariant formulation of string theory, that we call metastring theory. We also discuss an effective non-commutative description of closed strings implied by intrinsic non-commutativity of closed string theory. This fundamental non-commutativity is explicit in the metastring formulation of quantum gravity. Finally we comment on the new concept of metaparticles inherent to such an effective non-commutative description in terms of bi-local quantum fields.

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D-BRANES IN THE BACKGROUND OF NS FIVEBRANES

International Journal of Modern Physics A ◽

10.1142/s0217751x01003962 ◽

2001 ◽

Vol 16 (05) ◽

pp. 880-890 ◽

Cited By ~ 2

Author(s):

SHMUEL ELITZUR ◽

AMIT GIVEON ◽

DAVID KUTASOV ◽

ELIEZER RABINOVICI ◽

GOR SARKISSISAN

Keyword(s):

String Theory ◽

Closed String ◽

Asymptotically Linear ◽

The Past ◽

Linear Dilaton ◽

Horizon Geometry

We study the dynamics of D-branes in the near-horizon geometry of NS fivebranes. This leads to a holographically dual description of the physics of D-branes ending on and/or intersecting NS5-branes. We use it to verify some properties of such D-branes which were deduced indirectly in the past, and discuss some instabilities of non-supersymmetric brane configurations. Our construction also describes vacua of Little String Theory which are dual to open plus closed string theory in asymptotically linear dilaton spacetimes.

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