Large N, strings and bag models

Bolognesi, Stefano

doi:10.1016/j.nuclphysb.2005.09.031

Cited by 17 publications

(33 citation statements)

References 56 publications

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“…Is it possible, that also in this case, in the large n limit, the vortex becomes a wall vortex? This was the conjecture made in [2]. The aim of this paper is to prove this conjecture by means of numerical computation.…”

Section: Introductionmentioning

confidence: 71%

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Multi-vortices are wall vortices: A numerical proof

Bolognesi¹,

Gudnason²

2006

Nuclear Physics B

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Section: Introductionmentioning

confidence: 71%

“…A lot of independent arguments support the wall vortex limit. Part of these arguments are new and part are just a review of [1,2].…”

Section: Theoretical Sectionmentioning

confidence: 99%

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Multi-vortices are wall vortices: A numerical proof

Bolognesi¹,

Gudnason²

2006

Nuclear Physics B

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“…First of all we evaluate the spectrum of multi-monopoles using the results of Section 3. We just have to plot, like in Figure 4, the BPS mass and the MIT bag mass 2) and they intersect at…”

Section: A Mechanism For the Formation Of Multi-monopolesmentioning

confidence: 99%

“…Let us make a parallel with the multi-vortices. In this case we started in [1,2] giving some evidences for the fact that in the large n limit multi-vortices become wall vortices. There where two kind of evidence: a qualitative analysis of the multi-vortex differential equations and the surprising coincidence that the wall vortex saturates exactly the BPS bound.…”

Section: Introductionmentioning

confidence: 99%

Multi-monopoles and magnetic bags

Bolognesi¹

2006

Nuclear Physics B

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By analogy with the multi-vortices, we show that also multi-monopoles become magnetic bags in the large n limit. This simplification allows us to compute the spectrum and the profile functions by requiring the minimization of the energy of the bag. We consider in detail the case of the magnetic bag in the limit of vanishing potential and we find that it saturates the Bogomol'nyi bound and there is an infinite set of different shapes of allowed bags. This is consistent with the existence of a moduli space of solutions for the BPS multi-monopoles. We discuss the string theory interpretation of our result and also the relation between the 't Hooft large n limit of certain supersymmetric gauge theories and the large n limit of multi-monopoles. We then consider multi-monopoles in the cosmological context and provide a mechanism that could lead to their production.

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NonAbelian vortices, large winding limits and Aharonov-Bohm effects

Bolognesi

Chatterjee

Konishi

2015

J. High Energ. Phys.

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Remarkable simplification arises from considering vortex equations in the large winding limit. This was recently used [1] to display all sorts of vortex zeromodes, the orientational, translational, fermionic as well as semi-local, and to relate them to the apparently distinct phenomena of the Nielsen-Olesen-Ambjorn magnetic instabilities. Here we extend these analyses to more general types of BPS nonAbelian vortices, taking as a prototype a system with gauged U 0 (1) × SU ℓ (N ) × SU r (N ) symmetry where the VEV of charged scalar fields in the bifundamental representation breaks the symmetry to SU(N ) ℓ+r . The presence of the massless SU(N ) ℓ+r gauge fields in 4D bulk introduces all sorts of nonlocal, topological phenomena such as the nonAbelian Aharonov-Bohm effects, which in the theory with global SU r (N ) group (g r = 0) are washed away by the strongly fluctuating orientational zeromodes in the worldsheet. Physics changes qualitatively at the moment the right gauge coupling constant g r is turned on.

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Large N, strings and bag models

Cited by 17 publications

References 56 publications

Multi-vortices are wall vortices: A numerical proof

Multi-vortices are wall vortices: A numerical proof

Multi-monopoles and magnetic bags

NonAbelian vortices, large winding limits and Aharonov-Bohm effects

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