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12
Dbrane near NS5branes: With electromagnetic field
 JHEP 0412 (2004) 057 [arXiv:hepth/0412022
"... We study the Dpbrane dynamics near NS5branes with constant electromagnetic field. In the framework of effective DiracBornInfeld action, we investigate the effect of the electromagnetic field on the Dpbrane dynamics. The radial motion of the Dpbrane on the transverse directions of NS5branes ca ..."
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We study the Dpbrane dynamics near NS5branes with constant electromagnetic field. In the framework of effective DiracBornInfeld action, we investigate the effect of the electromagnetic field on the Dpbrane dynamics. The radial motion of the Dpbrane on the transverse directions of NS5branes can be mapped to a rolling tachyon in a constant NS Bµν background. In the near throat region, the classical motion can be identified with the rescaled hairpin. After constructing the boundary state of the rescaled hairpin, we discuss the closed string emission of the Dpbrane and find that the energy of the closed string emission is always finite in the presence of constant electric field. Taking the winding strings into account, the emitted energy is divergent, indicating that the emitted winding strings carry away most of the energy.
Rolling tachyon solution in vacuum string field theory,” Phys
 Rev. D
"... We construct a timedependent solution in vacuum string field theory and investigate whether the solution can be regarded as a rolling tachyon solution. First, compactifying one space direction on a circle of radius R, we construct a spacedependent solution given as an infinite number of ∗products ..."
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Cited by 13 (0 self)
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We construct a timedependent solution in vacuum string field theory and investigate whether the solution can be regarded as a rolling tachyon solution. First, compactifying one space direction on a circle of radius R, we construct a spacedependent solution given as an infinite number of ∗products of a string field with centerofmass momentum dependence of the form e −bp2 /4. Our timedependent solution is obtained by an inverse Wick rotation of the compactified space direction. We focus on one particular component field of the solution, which takes the form of the partition function of a Coulomb system on a circle with temperature R 2. Analyzing this component field both analytically and numerically using Monte Carlo simulation, we find that the parameter b in the solution must be set equal to zero for the solution to approach a finite value in the large time limit x 0 → ∞. We also explore the possibility that the selfdual radius R = √ α ′ is a phase transition point of our Coulomb system.
Note on Dbrane effective action in the linear dilaton background
 JHEP 0311 (2003) 068 [arXiv:hepth/0310066
"... Abstract: In this paper we will study tachyon effective action for Dpbrane in bosonic string theory in the linear dilaton background. We obtain the tachyon effective Lagrangian from boundary state coeficient of Dpbrane in the linear dilaton background and compare it with tachyon effective Lagrangi ..."
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Abstract: In this paper we will study tachyon effective action for Dpbrane in bosonic string theory in the linear dilaton background. We obtain the tachyon effective Lagrangian from boundary state coeficient of Dpbrane in the linear dilaton background and compare it with tachyon effective Lagrangians that were proposed in previous papers. Keywords: Dbranes. Contents
Black Hole  String Transition and Rolling Dbrane,” arXiv:hepth/0702221
"... We investigate the black hole string transition in the twodimensional Lorentzian black hole system from the exact boundary states that describe the rolling Dbrane falling down into the twodimensional black hole. The black hole string phase transition is one of the fundamental properties of the ..."
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Cited by 4 (0 self)
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We investigate the black hole string transition in the twodimensional Lorentzian black hole system from the exact boundary states that describe the rolling Dbrane falling down into the twodimensional black hole. The black hole string phase transition is one of the fundamental properties of the nonsupersymmetric black holes in string theory, and we will reveal the nature of the phase transition from the exactly solvable worldsheet conformal field theory viewpoint. Since the twodimensional Lorentzian black hole system (SL(2; R)k/U(1) coset model at level k) typically appears as nearhorizon geometries of various singularities such as NS5branes in string theory, our results can be regarded as the probe of such singularities from the nonsupersymmetric probe rolling Dbrane. The exact construction of boundary states for the rolling D0brane falling down into the twodimensional Dbrane enables us to probe the phase transition at k = 1 directly in the physical amplitudes. During the study, we uncover three fundamental questions in string theory as a consistent theory of quantum gravity: small charge limit v.s. large charge limit of nonsupersymmetric quantum black holes, analyticity v.s. nonanalyticity in physical amplitudes and physical observables, and unitarity v.s. open closed duality in timedependent string backgrounds.
hepth/0412043 Rolling Down the Throat in NS5brane Background: The Case of Electrified DBrane
, 2005
"... Abstract: We study rolling radion dynamics of electrified Dbrane in NS5brane background, both in effective field theory and in full open string theory. We construct exact boundary states and, from them, extract conserved Noether currents. We argue that Tduality and Lorentz boost offer an intuitiv ..."
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Abstract: We study rolling radion dynamics of electrified Dbrane in NS5brane background, both in effective field theory and in full open string theory. We construct exact boundary states and, from them, extract conserved Noether currents. We argue that Tduality and Lorentz boost offer an intuitive approach. In the limit of large number of NS5branes, both boundary wave functions and conserved currents are sharply peaked and agree with those deduced from the effective field theory. As the number of NS5branes is reduced, width around the peak becomes wider by string corrections. We also study radiative decay process. By applying Lorentz covariance, we show how the decay of electrified Dbrane is related to that of bare Dbrane. We compute spectral moments of final state energy and winding quantum number. Using Lorentz covariance argument, we explain in elementary way why winding quantum number should be included and derive rules how to do so. We conclude that Kutasov’s “geometric realization ” between radion rolling dynamics and tachyon rolling dynamics holds universally, both for bare and electrified Dbranes.
Oneloop Evolution of a Rolling Tachyon
, 2004
"... We study the time evolution of the oneloop diagram in Sen’s rolling tachyon background. We find that at least in the long cylinder case they grow rapidly at late time, due to the exponential growth of the timelike oscillator terms in the boundary state. This can also be interpreted as the virtual o ..."
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We study the time evolution of the oneloop diagram in Sen’s rolling tachyon background. We find that at least in the long cylinder case they grow rapidly at late time, due to the exponential growth of the timelike oscillator terms in the boundary state. This can also be interpreted as the virtual open string pair creation in the decaying brane. This behavior indicates a breakdown of this rolling tachyon solution at some point during the evolution. We also discuss the closed string emission from this oneloop diagram, and the evolution of a oneloop diagram connecting a decaying brane to a stable brane, which is responsible for the physical open string creation on the stable brane.
hepth/0409050 UCLA/04/TEP36 KIASP04036 Winding Strings and Decay of DBranes with Flux
, 2005
"... We study the boundary state associated with the decay of an unstable Dbrane with uniform electric field, 1> e> 0 in the string units. Compactifying the Dbrane along the direction of the electric field, we find that the decay process is dominated by production of closed strings with some wind ..."
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We study the boundary state associated with the decay of an unstable Dbrane with uniform electric field, 1> e> 0 in the string units. Compactifying the Dbrane along the direction of the electric field, we find that the decay process is dominated by production of closed strings with some winding numbers; closed strings produced are such that the winding mode carries precisely the fraction e of the individual string energy. This supports the conjecture that the final state at tree level is composed of winding strings with heavy oscillations turned on. As a corollary, we argue that the closed strings disperse into spacetime at a much slower rate than the case without electric field.
Liouville Field Theory  A decade after the revolution
, 2004
"... We review recent developments (up to January 2004) of the Liouville field theory and its matrix model dual. This review consists of three parts. In the part I, we review the bosonic Liouville theory. After briefly reviewing the necessary background, we discuss the bulk structure constants (the DOZZ ..."
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We review recent developments (up to January 2004) of the Liouville field theory and its matrix model dual. This review consists of three parts. In the part I, we review the bosonic Liouville theory. After briefly reviewing the necessary background, we discuss the bulk structure constants (the DOZZ formula) and the boundary states (the FZZT brane and the ZZ brane). Various applications are also presented. In the part II, we review the supersymmetric extension of the Liouville theory. We first discuss the bulk structure constants and the branes as in the bosonic Liouville theory, and then we present the matrix dual descriptions with some applications. In the part III, the Liouville theory on unoriented surfaces is reviewed. After introducing the crosscap state, we discuss the matrix model dual description and the tadpole cancellation condition. This review also includes some original material such as the derivation of the conjectured dual action for the N = 2 Liouville theory from other known dualities and the comparison of the Liouville crosscap state with the c = 0 unoriented matrix model. This is
hepth/0409050 UCLA/04/TEP36
, 2004
"... We study the boundary state associated with the decay of an unstable Dbrane with uniform electric field, 1> e> 0 in the string units. Compactifying the Dbrane along the direction of the electric field, we find that the decay process is dominated by production of closed strings with some wind ..."
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We study the boundary state associated with the decay of an unstable Dbrane with uniform electric field, 1> e> 0 in the string units. Compactifying the Dbrane along the direction of the electric field, we find that the decay process is dominated by production of closed strings with some winding numbers; closed strings produced are such that the winding mode carries precisely the fraction e of the individual string energy. This supports the conjecture that the final state at tree level is composed of winding strings with heavy oscillations turned on. As a corollary, we argue that the closed strings disperse into spacetime at a much slower rate than the case without electric field.