A Classification of Long-Range Interactions between Two Stacks of
                    <i>p</i>
                    &amp;
                    <i>p′</i>
                    -Branes

Ouyang, Jun; Wu, Chao

doi:10.1088/0253-6102/63/2/12

Cited by 2 publications

(14 citation statements)

References 22 publications

(62 reference statements)

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“…between (F, D1) and (NS5, D5) since we have attractive interaction between F and D5 and also between D1 and NS5 [4]. We will demonstrate explicitly in the following section by computing the force experienced by the (p, q) string in the (m, n) 5-brane background that indeed the no-force condition is precisely the same as the condition (3.12).…”

Section: Jhep08(2017)007mentioning

confidence: 85%

“…However, we know that there is no-force between D1 and D5 in the threshold bound state (D1, D5) (or between F and NS5 in (F, NS5)) and so if 1/4 BPS ((F, D1), (NS5, D5)) bound state indeed exists, we expect that there should also be no-force between the non-threshold (F, D1) and the non-threshold (NS5, D5) and this bound state should also be threshold with respect to these two constituent non-threshold bound states. While it is true that there is no force between D1 and D5 and between F and NS5 in this bound state, we do have an attractive long-range force acting between F and D5 or between D1 and NS5 (for example, see [4]). We, therefore, expect a net attractive force between (F, D1) and (NS5, D5).…”

Section: Introductionmentioning

confidence: 84%

“…the SL(2, R) transformed charges after imposing the quantization would be given as,ē T 1 = (p, q)e 10 and g T 5 = (m, n)g 50 , where (p, q) and (m, n) are two pairs of integers. These quantization conditions give us the following relations 4) and using these relations we determinē…”

Section: Jhep08(2017)007mentioning

confidence: 99%

“…with Ω 3 = 2π 2 the volume of unit 3-sphere, 4 . The D-strings are along x 5 direction but delocalized along 1, 2, 3, 4-directions while the D5-branes are along x 1 , x 2 , • • • , x 5 directions.…”

Section: Type Iib Supergravity and Sl(2r) Symmetrymentioning

confidence: 99%

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On 1/4 BPS ((F, D1), (NS5, D5)) bound states of type IIB string theory

Jia

Roy

2017

J. High Energ. Phys.

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We construct two new SL(2, Z) invariant vacua of type IIB string theory which are bound states of (p, q) strings with (m, n) 5-branes, written as ((F, D1), (NS5, D5)) and preserve 1/4 of the full space-time supersymmetries. For the first case, the strings live inside the 5-brane world-volume and in the second case the strings are perpendicular to the 5-brane world-volume. In the first case, naively one would expect an attractive interaction between the strings and the 5-branes due to attractive force between F and D5 and also between D1 and NS5. We find that 1/4 BPS bound state exists only when the vacuum moduli satisfy certain condition which is found to be consistent with the no-force condition between the branes. No such complication arises for the second case. The tension formulae and the various other descendant states which can be obtained by the application of T-duality for both these bound states are discussed.

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Section: Jhep08(2017)007mentioning

confidence: 85%

Section: Introductionmentioning

confidence: 84%

Section: Jhep08(2017)007mentioning

confidence: 99%

Section: Type Iib Supergravity and Sl(2r) Symmetrymentioning

confidence: 99%

See 2 more Smart Citations

On 1/4 BPS ((F, D1), (NS5, D5)) bound states of type IIB string theory

Jia

Roy

2017

J. High Energ. Phys.

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“…The reason for this is simple since only different constituent branes contribute to this long-range interaction and each contribution is from the respective NS-NS sector and is attractive. For example, if we have both electric and magnetic fluxes present on Dp and Dp ′ , the F-strings (see footnote (4)) within Dp ′ have no interaction with their parallel F-strings within Dp but have a long-range attractive interaction with D(p -2) branes (see footnote (4)) within Dp. However, as indicated above for p = 6 and p ′ ≤ 6, the long-range interaction can be repulsive in the presence of certain types of fluxes.…”

Section: Introductionmentioning

confidence: 99%

On D-brane interaction & its related properties

Jia

Lü

et al. 2020

Nuclear Physics B

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We compute the closed-string cylinder amplitude between one Dp brane and the other Dp′ brane, placed parallel at a separation, with each carrying a general constant worldvolume flux and with p − p ′ = 0, 2, 4, 6 and p ≤ 6. For the p = p ′ , we show that the main part of the amplitude for p = p ′ < 5 is a special case of that for p = p ′ = 5 or 6 case. For all other p − p ′ = 2, 4, 6 cases, we show that the amplitude is just a special case of the corresponding one for p = p ′ case. Combined both, we obtain the general formula for the amplitude, which is valid for each of the cases considered and for arbitrary constant worldvolume fluxes. The corresponding general open string one-loop annulus amplitude is also obtained by a Jacobi transformation of the general cylinder one. We give also the general open string pair production rate. We study the properties of the amplitude such as the nature of the interaction, the open string tachyonic instability, and the possible open string pair production and its potential enhancement. In particular, in the presence of pure magnetic fluxes or magnetic-like fluxes, we find that the nature of interaction is correlated with the existence of potential open string tachyonic instability. When the interaction is attractive, there always exists an open string tachyonic instability when the brane separation reaches the minimum determined by the so-called tachyonic shift. When the interaction is repulsive, there is no such instability for any brane separation. We also find that the enhancement of open string pair production, in the presence of pure electric fluxes, can occur only for the p − p ′ = 2 case.

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

Cited by 2 publications

References 22 publications

On 1/4 BPS ((F, D1), (NS5, D5)) bound states of type IIB string theory

On 1/4 BPS ((F, D1), (NS5, D5)) bound states of type IIB string theory

On D-brane interaction & its related properties

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