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 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 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 PROJECTION OPERATORS AND D-BRANES IN PURELY CUBIC OPEN STRING FIELD THEORY

2001 ◽  
Vol 16 (28) ◽  
pp. 1811-1821 ◽  
Author(s):  
YUTAKA MATSUO
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Open String ◽  
Closed String ◽  
Kinetic Term ◽  
Classical Solutions ◽  
Projection Operators ◽  
Open Strings ◽  
String Background ◽  
The Given

We study a matrix version of the purely cubic open string field theory as describing the expansion around the closed string vacuum. Any D-branes in the given closed string background can appear as classical solutions by using the identity projectors. Expansion around this solution gives the correct kinetic term for the open strings on the created D-branes while there are some subtleties in the unwanted degree of freedom.

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

scholarly journals ARITHMETIC SPACE–TIME GEOMETRY FROM STRING THEORY

2006 ◽  
Vol 21 (31) ◽  
pp. 6323-6350 ◽  
Author(s):  
ROLF SCHIMMRIGK
Keyword(s):  
Field Theory ◽  
String Theory ◽  
Modular Forms ◽  
Complex Multiplication ◽  
Space Time ◽  
Two Dimensional ◽  
Conformal Field ◽  
Exactly Solvable

An arithmetic framework for string compactification is described. The approach is exemplified by formulating a strategy that allows to construct geometric compactifications from exactly solvable theories at c = 3. It is shown that the conformal field theoretic characters can be derived from the geometry of space–time, and that the geometry is uniquely determined by the two-dimensional field theory on the worldsheet. The modular forms that appear in these constructions admit complex multiplication, and allow an interpretation as generalized McKay–Thompson series associated to the Mathieu and Conway groups. This leads to a string motivated notion of arithmetic moonshine.

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 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 Classical algebraic structures in string theory effective actions

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Harold Erbin ◽  
Carlo Maccaferri ◽  
Martin Schnabl ◽  
Jakub Vošmera
Keyword(s):  
String Theory ◽  
Degrees Of Freedom ◽  
Microscopic Theory ◽  
Open String ◽  
Closed String ◽  
Effective Theory ◽  
Generic Properties ◽  
Vertical Decomposition ◽  
String Background ◽  
New Framework

Abstract We study generic properties of string theory effective actions obtained by classically integrating out massive excitations from string field theories based on cyclic homotopy algebras of A∞ or L∞ type. We construct observables in the UV theory and we discuss their fate after integration-out. Furthermore, we discuss how to compose two subsequent integrations of degrees of freedom (horizontal composition) and how to integrate out degrees of freedom after deforming the UV theory with a new consistent interaction (vertical decomposition). We then apply our general results to the open bosonic string using Witten’s open string field theory. There we show how the horizontal composition can be used to systematically integrate out the Nakanishi-Lautrup field from the set of massless excitations, ending with a non-abelian A∞-gauge theory for just the open string gluon. Moreover we show how the vertical decomposition can be used to construct effective open-closed couplings by deforming Witten OSFT with a tadpole given by the Ellwood invariant. Also, we discuss how the effective theory controls the possibility of removing the tadpole in the microscopic theory, giving a new framework for studying D-brane deformations induced by changes in the closed string background.

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