The shape of nonabelian D-branes

Hashimoto, Koji

doi:10.1088/1126-6708/2004/04/004

Cited by 21 publications

(33 citation statements)

References 72 publications

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“…Then why the D-strings do not reconnect classically? A possible answer to this question is found in [23] where the energy of the created "bond" connecting the reconnected D-strings is evaluated.…”

Section: Summary and Discussionmentioning

confidence: 99%

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Reconnection of colliding cosmic strings

Hanany¹,

Hashimoto²

2005

J. High Energy Phys.

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For vortex strings in the Abelian Higgs model and D-strings in superstring theory, both of which can be regarded as cosmic strings, we give analytical study of reconnection (recombination, inter-commutation) when they collide, by using effective field theories on the strings. First, for the vortex strings, via a string sigma model, we verify analytically that the reconnection is classically inevitable for small collision velocity and small relative angle. Evolution of the shape of the reconnected strings provides an upper bound on the collision velocity in order for the reconnection to occur. These analytical results are in agreement with previous numerical results. On the other hand, reconnection of the D-strings is not classical but probabilistic. We show that a quantum calculation of the reconnection probability using a D-string action reproduces the nonperturbative nature of the worldsheet results by Jackson, Jones and Polchinski. The difference on the reconnection -classically inevitable for the vortex strings while quantum mechanical for the D-strings -is suggested to originate from the difference between the effective field theories on the strings.

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Section: Summary and Discussionmentioning

confidence: 99%

“…worldsheet analysis [14] for θ ≪ 1. In addition, there are infinite number of other eigen-modes with higher mass squared, which reproduce a part of the worldsheet spectra of a string connecting the two D-strings [16,23,26,27].…”

Section: Tachyon Condensation and Reconnectionmentioning

confidence: 99%

Reconnection of colliding cosmic strings

Hanany¹,

Hashimoto²

2005

J. High Energy Phys.

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“…However, in general, the (usual) geometry does not describe the physics well because the system is described by a fuzzy geometry from the D0-brane picture and the boundary state of the compact D2-brane used in [10,29] may not need to correspond to the D2-brane described by the DBI action on the geometry even if the curvature of it is small. 6 A D-brane probe or closed string scattering amplitudes will see the fuzziness, for example [31]. It has been expected and checked that fuzziness is related to the finiteness of N and the geometrical D2-brane is obtained in a suitable large N limit, where N is the D0-brane charge.…”

Section: Jhep07(2018)008mentioning

confidence: 99%

Geometry from matrices via D-branes

Terashima

2018

J. High Energ. Phys.

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In this paper, we give a map from matrices to a commutative geometry from a bound state of a D2-brane and N D0-branes. For this, tachyons in auxiliary unstable Dbrane system describing the bound state play crucial roles. We found the map obtained in this way coincides with the recent proposals. We also consider the map from the geometry to matrices in a large N limit and argue that the map is a matrix regularization of geometry.

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“…Since the instanton configuration (27) has the SO(5) symmetry, we can use the value of F at the north pole to simplify the calculation. From (B.22), the field strength at the north pole (x α = 0, x 5 = r) is given by…”

Section: Dual Description Of Fuzzy Four-spherementioning

confidence: 99%

“…Let us consider the world-volume action for (n + 1) D4-branes with the gauge field (27). The Born-Infeld action for nonabelian D4-branes is given by…”

Section: Dual Description Of Fuzzy Four-spherementioning

confidence: 99%

Nonabelian gauge field and dual description of fuzzy sphere

Kimura

2004

J. High Energy Phys.

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In matrix models, higher dimensional D-branes are obtained by imposing a noncommutative relation to coordinates of lower dimensional D-branes. On the other hand, a dual description of this noncommutative space is provided by higher dimensional D-branes with gauge fields. Fuzzy spheres can appear as a configuration of lower dimensional D-branes in a constant R-R field strength background. In this paper, we consider a dual description of higher dimensional fuzzy spheres by introducing nonabelian gauge fields on higher dimensional spherical D-branes. By using the Born-Infeld action, we show that a fuzzy 2k-sphere and spherical D2k-branes with a nonabelian gauge field whose Chern character is nontrivial are the same objects when n is large. We discuss a relationship between the noncommutative geometry and nonabelian gauge fields. Nonabelian gauge fields are represented by noncommutative matrices including the coordinate dependence. A similarity to the quantum Hall system is also studied.

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The shape of nonabelian D-branes

Cited by 21 publications

References 72 publications

Reconnection of colliding cosmic strings

Reconnection of colliding cosmic strings

Geometry from matrices via D-branes

Nonabelian gauge field and dual description of fuzzy sphere

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