scholarly journals OPEN-CLOSED DUALITY: LESSONS FROM MATRIX MODEL

2004 ◽  
Vol 19 (11) ◽  
pp. 841-853 ◽  
Author(s):  
ASHOKE SEN
Keyword(s):  
Field Theory ◽  
String Theory ◽  
Matrix Model ◽  
String Field Theory ◽  
Classical Result ◽  
Open String ◽  
Closed String ◽  
Tree Level ◽  
Two Dimensional

Recent investigations involving the decay of unstable D-branes in string theory suggest that the tree level open string theory which describes the dynamics of the D-brane already knows about the closed string states produced in the decay of the brane. We propose a specific conjecture involving quantum open string field theory to explain this classical result, and show that the recent results in two-dimensional string theory are in exact accordance with this conjecture.

scholarly journals TACHYON DYNAMICS IN OPEN STRING THEORY

2005 ◽  
Vol 20 (24) ◽  
pp. 5513-5656 ◽  
Author(s):  
ASHOKE SEN
Keyword(s):  
Field Theory ◽  
String Theory ◽  
String Field Theory ◽  
Quantum Dynamics ◽  
Open String ◽  
Closed String ◽  
Two Dimensional ◽  
Potential Models ◽  
Conformal Field ◽  
String Background

In this review we describe our current understanding of the properties of open string tachyons on an unstable D-brane or brane–antibrane system in string theory. The various string theoretic methods used for this study include techniques of two-dimensional conformal field theory, open string field theory, boundary string field theory, noncommutative solitons, etc. We also describe various attempts to understand these results using field theoretic methods. These field theory models include toy models like singular potential models and p-adic string theory, as well as more realistic version of the tachyon effective action based on Dirac–Born–Infeld type action. Finally we study closed string background produced by the "decaying" unstable D-branes, both in the critical string theory and in the two-dimensional string theory, and describe the open string completeness conjecture that emerges out of this study. According to this conjecture the quantum dynamics of an unstable D-brane system is described by an internally consistent quantum open string field theory without any need to couple the system to closed strings. Each such system can be regarded as a part of the "hologram" describing the full string theory.

scholarly journals D-instantons, string field theory and two dimensional string theory

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Ashoke Sen
Keyword(s):  
Field Theory ◽  
String Theory ◽  
Matrix Model ◽  
String Field Theory ◽  
Scattering Amplitude ◽  
Two Dimensional ◽  
World Sheet ◽  
Numerical Result ◽  
Instanton Contribution ◽  
The Matrix

Abstract In [4] Balthazar, Rodriguez and Yin (BRY) computed the one instanton contribution to the two point scattering amplitude in two dimensional string theory to first subleading order in the string coupling. Their analysis left undetermined two constants due to divergences in the integration over world-sheet variables, but they were fixed by numerically comparing the result with that of the dual matrix model. If we consider n-point scattering amplitudes to the same order, there are actually four undetermined constants in the world-sheet approach. We show that using string field theory we can get finite unambiguous values of all of these constants, and we explicitly compute three of these four constants. Two of the three constants determined this way agree with the numerical result of BRY within the accuracy of numerical analysis, but the third constant seems to differ by 1/2. We also discuss a shortcut to determining the fourth constant if we assume the equality of the quantum corrected D-instanton action and the action of the matrix model instanton. This also agrees with the numerical result of BRY.

scholarly journals Gravitational Scattering Amplitudes and Closed String Field Theory in the Proper-Time Gauge

2018 ◽  
Vol 168 ◽  
pp. 07004 ◽  
Author(s):  
Taejin Lee
Keyword(s):  
Field Theory ◽  
Scattering Amplitudes ◽  
String Theory ◽  
String Field Theory ◽  
Fock Space ◽  
Proper Time ◽  
Path Integrals ◽  
Open String ◽  
Closed String ◽  
Quantized String

We construct a covariant closed string field theory by extending recent works on the covariant open string field theory in the proper-time gauge. Rewriting the string scattering amplitudes generated by the closed string field theory in terms of the Polyakov string path integrals, we identify the Fock space representations of the closed string vertices. We show that the Fock space representations of the closed string field theory may be completely factorized into those of the open string field theory. It implies that the well known Kawai-Lewellen-Tye (KLT) relations of the first quantized string theory may be promoted to the second quantized closed string theory. We explicitly calculate the scattering amplitudes of three gravitons by using the closed string field theory in the proper-time gauge.

scholarly journals Open-closed string correspondence in open string field theory

2008 ◽  
Vol 56 (4-5) ◽  
pp. 343-351 ◽  
Author(s):  
M. Baumgartl ◽  
I. Sachs
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Open String ◽  
Closed String

DERIVING THE FOUR-STRING AND OPEN-CLOSED STRING INTERACTIONS FROM GEOMETRIC STRING FIELD THEORY

1990 ◽  
Vol 05 (04) ◽  
pp. 659-724 ◽  
Author(s):  
MICHIO KAKU
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Geometric Theory ◽  
Open String ◽  
Bound State ◽  
Closed String ◽  
String Length ◽  
Light Cone Gauge ◽  
New Class ◽  
Coulomb Term

One of the baffling questions concerning the covariant open string field theory is why there are two distinct BRST theories and why the four-string interaction appears in one version but not the other. We solve this mystery by showing that both theories are gauge-fixed versions of a higher gauge theory, called the geometric string field theory, with a new field, a string vierbein [Formula: see text], which allows us to gauge the string length and σ-parametrization. By fixing the gauge, we can derive the “endpoint gauge” (the covariantized light cone gauge), the “midpoint gauge” of Witten, or the “interpolating gauge” with arbitrary string lengths. We show explicitly that the four-string interaction is a gauge artifact of the geometric theory (the counterpart of the four-fermion instantaneous Coulomb term of QED). By choosing the interpolating gauge, we produce a new class of four-string interactions which smoothly interpolate between the endpoint gauge and the midpoint gauge (where it vanishes). Similarly, we can extract the closed string as a bound state of the open string, which appears in the endpoint gauge but vanishes in the midpoint gauge. Thus, the four-string and open-closed string interactions do not have to be added to the action as long as the string vierbein is included.

scholarly journals Gauge invariant operators and closed string scattering in open string field theory

2002 ◽  
Vol 536 (1-2) ◽  
pp. 129-137 ◽  
Author(s):  
Mohsen Alishahiha ◽  
Mohammad R. Garousi
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Open String ◽  
Closed String ◽  
Gauge Invariant

scholarly journals Liouville D-branes in Two-Dimensional Strings and Open String Field Theory

2004 ◽  
Vol 2004 (11) ◽  
pp. 027-027 ◽  
Author(s):  
Debashis Ghoshal ◽  
Sunil Mukhi ◽  
Sameer Murthy
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Open String ◽  
Two Dimensional

scholarly journals Extracting bigravity from string theory

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Dieter Lüst ◽  
Chrysoula Markou ◽  
Pouria Mazloumi ◽  
Stephan Stieberger
Keyword(s):  
Scattering Amplitudes ◽  
String Theory ◽  
Open String ◽  
Closed String ◽  
Bimetric Theory ◽  
Low Energy ◽  
Tree Level ◽  
Dark Matter Candidate ◽  
Massive Spin ◽  
Numerical Coefficient

Abstract The origin of the graviton from string theory is well understood: it corresponds to a massless state in closed string spectra, whose low-energy effective action, as extracted from string scattering amplitudes, is that of Einstein-Hilbert. In this work, we explore the possibility of such a string-theoretic emergence of ghost-free bimetric theory, a recently proposed theory that involves two dynamical metrics, that around particular backgrounds propagates the graviton and a massive spin-2 field, which has been argued to be a viable dark matter candidate. By choosing to identify the latter with a massive spin-2 state of open string spectra, we compute tree-level three-point string scattering amplitudes that describe interactions of the massive spin-2 with itself and with the graviton. With the mass of the external legs depending on the string scale, we discover that extracting the corresponding low-energy effective actions in four spacetime dimensions is a subtle but consistent process and proceed to appropriately compare them with bimetric theory. Our findings consist in establishing that string and bimetric theory provide to lowest order the same set of two-derivative terms describing the interactions of the massive spin-2 with itself and with the graviton, albeit up to numerical coefficient discrepancies, a fact that we analyze and interpret. We conclude with a mention of future investigations.

scholarly journals TIME-DEPENDENT BACKGROUNDS OF TWO-DIMENSIONAL STRING THEORY FROM THE c = 1 MATRIX MODEL

2011 ◽  
Vol 20 (13) ◽  
pp. 2613-2622 ◽  
Author(s):  
J. SADEGHI ◽  
B. POURHASSAN
Keyword(s):  
Field Theory ◽  
String Theory ◽  
Matrix Model ◽  
Time Dependent ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Two Dimensional ◽  
Dilaton Gravity ◽  
Tachyon Field ◽  
First Time

The aim of this paper is to use correspondence between solutions in the c = 1 matrix model collective field theory and coupled dilaton-gravity to a massless scalar field. First, we obtain the incoming and outgoing fluctuations for the time-dependent backgrounds with the lightlike and spacelike boundaries. In the case of spacelike boundaries, we have done here for the first time. Then by using the leg-pole transformations we find the corresponding tachyon field in the two-dimensional string theory for the lightlikes and spacelikes boundary.

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