Non-threshold (F, Dp) bound states

Lü, Jianxin; Roy, Shibaji

doi:10.1016/s0550-3213(99)00454-x

Cited by 46 publications

(117 citation statements)

References 31 publications

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“…The ADM mass and the tension of (NS5, D(p + 2), Dp) bound states can be obtained by a further generalization of the mass formula given in [13]. We find that it is given by,…”

Section: Jhep02(2001)026mentioning

confidence: 83%

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(NS5,Dp) and (NS5,D(p+2),Dp) bound states of type IIB and type IIA string theories

Mitra

Roy

2001

J. High Energy Phys.

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Abstract:Starting from the (q, p) 5-brane solution of type-IIB string theory, we here construct the low energy configuration corresponding to (NS5, Dp)-brane bound states (for 0 ≤ p ≤ 4) using the T-duality map between type-IIB and type-IIA string theories. We use the SL(2, Z) symmetry on the type-IIB bound state (NS5, D3) to construct (NS5, D5, D3) bound state. We then apply T-duality transformation again on this state to construct the bound states of the form (NS5, D(p + 2), Dp) (for 0 ≤ p ≤ 2) of both type-IIB and type-IIA string theories. We give the tension formula for these states and show that they form non-threshold bound states. All these states preserve half of the space-time supersymmetries of string theories. We also briefly discuss the ODp-limits corresponding to (NS5, Dp) bound state solutions.Keywords: Superstrings and Heterotic Strings, p-branes, D-branes.JHEP02 (2001) [6,7]. This solution is non-singular and purely solitonic and therefore, not much is known about its dynamics. Type II string theories also contain Dpbranes [8,9] in their low energy spectrum and it is well-known that Dp-branes can end on type-IIA NS5-branes for p = even and they can end on type-IIB NS5-branes for p = odd. It is therefore expected that these Dp-branes will form bound states with NS5-branes. The bound state (NS5, D5) of type-IIB theory known as (q, p) fivebranes, with q, p relatively prime integers corresponding to the charges of NS5-branes and D5-branes respectively has already been constructed in ref. [10]. We here use this solution and apply the T-duality map from type-IIB to type-IIA theory also from type IIA to type-IIB theory to construct the (NS5, Dp) bound state solutions for 0 ≤ p ≤ 4. The T-duality is applied along the longitudinal directions of D5-branes. We note that the (NS5, Dp) bound states have also been given in [11,12] and they were obtained from (NS5, D1) solution (constructed by applying S-duality on already known [13] (F, D5) solution) and applying T-duality along the transverse directions of D-string. However, the (NS5, D5) solution obtained in this way does not agree with the already known solution. We have indicated the possible reason for this discrepancy in section 2. This is the reason we have chosen to start from the known (NS5, D5) solution to construct the (NS5, Dp) solutions. In order to construct (NS5, D(p + 2), Dp) bound states for 0 ≤ p ≤ 3, we start from (NS5, D3) solution of type-IIB string theory. Since type-IIB string theory is conjectured to have a non-perturbative quantum SL(2, Z) symmetry, we use this

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“…The ADM mass and the tension of (NS5, D(p + 2), Dp) bound states can be obtained by a further generalization of the mass formula given in [13]. We find that it is given by,…”

Section: Jhep02(2001)026mentioning

confidence: 83%

“…The ADM mass as well as the tension for these (NS5, Dp) bound states can be calculated by a generalization of the mass formula given in [23]. This has been done in [13] for (F, Dp) solutions. Here we use the same technique to obtain the tension of (NS5, Dp) bound states as…”

Section: Jhep02(2001)026mentioning

confidence: 99%

(NS5,Dp) and (NS5,D(p+2),Dp) bound states of type IIB and type IIA string theories

Mitra

Roy

2001

J. High Energy Phys.

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“…We here specify the discussion to D-branes. As we know that D-branes carrying a single abelian electric or magnetic world volume flux are the non-threshold BPS (F, Dp) bound state [12,13,14,15,16,17] or the non-threshold BPS (D(p − 2), Dp) bound state [18,19,20], respectively. The long-range interaction between two parallel D-branes with each carrying an abelian world-volume flux has been discussed in [8].…”

Section: A Classification Of Long-range Interactions Between Two Stacmentioning

confidence: 99%

A Classification of Long-Range Interactions between Two Stacks of p & p′ -Branes

Ouyang¹,

Wu²

2015

Commun. Theor. Phys.

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We generalize the computations of the long-range interactions between two parallel stacks of branes in [1, 2] to various cases when two stacks of branes are not placed parallel to each other. We classify the nature of interaction (repulsive or attractive) for each special case and this classification can be used to justify the nature of long-range interaction between two complicated brane systems such as brane bound states. We will provide explicit examples in this paper to demonstrate this.

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“…The true dynamics of the system is contained in the R-equation in (17). Using (18) as well as the fact that energy in (11) is conserved, we obtain from (15)…”

Section: The Time Component (M = 0) Of the Equation Of Motion (7) Yieldsmentioning

confidence: 99%

“…In fact, it is known that a parallel but separated F-D5 system is nonsupersymmetric and so we expect a tachyonic instability. The F-string in this case is known to melt into the D5-branes to form a non-threshold bound state [18]. The formation of this bound state can be viewed as due to the geometric tachyon condensation.…”

Section: The Time Component (M = 0) Of the Equation Of Motion (7) Yieldsmentioning

confidence: 99%

Origin of the geometric tachyon

2008

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The motion of a Dp-brane in the background of a stack of coincident NS5-branes is analyzed as the motion of a relativistic point particle in the transverse space of the five-branes. In this system, the particle experiences a proper acceleration orthogonal to its proper velocity due to the background dilaton field which changes the dynamics from that of a simple geodesic motion. In particular, we show that in the vicinity of the five-branes, it is this acceleration which is responsible for modifying the motion of the radial mode to that of an inverted simple harmonic oscillator leading to the tachyonic instability. 11.25.Uv, 04.65.+e In string theory, it is well-known that soliton solutions like the NS5-brane and Dp-brane are contained in the string spectrum. While the former is supersymmetric and stable, the latter can be either supersymmetric and stable (BPS Dp-brane) or non-supersymmetric and unstable (non-BPS Dp-brane). A pair of D-D branes is non-supersymmetric even if each is supersymmetric individually. Such non-supersymmetric systems are unstable because the lowest lying state of the open string, either (both ends) ending on a single non-BPS D-brane or stretched between the brane and the antibrane, is a tachyon. The condensation of the tachyon can lead to a stable brane configuration or the total annihilation of the brane. A nice review of this phenomenon can be found in [1]. The dynamics of tachyon condensation has led to many interesting time dependent phenomena including the decay of a non-BPS brane into a strange "tachyon matter" state whose equation of state is that of a pressureless fluid [2]. An effective action of the Dirac-BornInfeld (DBI) type for the tachyon [3,4,5,6] has been very useful in understanding such processes.A completely different dynamics, namely, that of a BPS Dp-brane propagating in the background of a stack of coincident NS5-branes, has been studied recently using the effective DBI action [7]. It has been observed there that when the Dp-brane comes close to the NS5-branes, the dynamics of the Dp-brane can be mapped to that of the open string tachyon condensation, where the radial mode on the Dp-brane plays the role of the tachyon. Moreover, its equation of state approaches that of a pressureless fluid with the pressure falling off exponentially at late times. These properties along with the fact that a parallel Dp-NS5 brane system is a nonsupersymmetric system, has led to the nomenclature "geometric tachyon" for the radial mode on the Dp-brane. The tachyonic instability has been made more precise [8] by compactifying one of the transverse directions of * e-mails: das@pas.rochester.edu, panda@mri.ernet.in, shibaji.roy@saha.ac.in the NS5-branes on a circle and placing the Dp-brane, as a point on this circle diametrically opposite to the fivebranes. In such a case it has been observed that the potential energy density of the Dp-brane at this point has a saddle point. As a result, this point corresponds to an unstable equilibrium and the Dp-brane develops a tachyonic mode associ...

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Non-threshold (F, Dp) bound states

Cited by 46 publications

References 31 publications

(NS5,Dp) and (NS5,D(p+2),Dp) bound states of type IIB and type IIA string theories

(NS5,Dp) and (NS5,D(p+2),Dp) bound states of type IIB and type IIA string theories

A Classification of Long-Range Interactions between Two Stacks of p & p′ -Branes

Origin of the geometric tachyon

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