1,721,709 research outputs found
The holomorphic tension of non-Abelian vortices
No full textWe continue the work hep-th/0411075 considering here the case of degenerate masses. A non-Abelian vortex arises in r-vacua upon the breaking by a superpotential for the adjoint field. We find the BPS tension in the strong coupling regime computing the dual-quark condensate. Then we find that it is equal to a simple quantity in the chiral ring of the theory and so we conjecture the validity of our result out of the strong coupling regime. Our result gives an interesting hint about the duality r ↔ Nf - r, seeing it as the exchange first ↔ second sheet of N = 1 Riemann surface. © 2005 Elsevier B.V. All rights reserved
Multi-vortices with large magnetic flux
No full textWe study the Abrikosov-Nielsen-Olesen(ANO) vortices in the large magnetic ux limit. We find that their structure dramatically simplify and they can described by a domain wall compactified on a cylinder. We describe the passages that brought to this idea and the numerical proof. We also speculate on possible application to k-string in large N Yang-Mills theory
Skyrmions in orientifold and adjoint QCD
No full textThis contribution is a review of recent developments regarding the Skyrmion sector of higher representation QCD. This review is mostly based on the results of [1, 2, 3]. Ordinary QCD is a SU(n) gauge theory with nf Dirac quarks in the fundamental representation. Changing the representation of quarks leads to different and interesting theories, which are not as well studied as ordinary QCD. In order to be able to have a consistent asymptotically free large n limit, we must limit ourselves to three cases: two-index representation (symmetric or anti-symmetric) and adjoint representation. We call the first two "orientifold QCD (S/A)" and the last one "adjoint QCD". Skyrmions of the low-energy effective Lagrangian shall be the main subject of this review. There are puzzling aspects, both in orientifold and adjoint QCD, regarding the identification of the Skyrmion and its quantum stability, that have not yet been understood. We shall explain these problems and the solution we proposed for them. The first part is dedicated to the two-index (S/A) representation. Here the challenge is to identify the correct particle in the spectrum that has to be identified with the Skyrmion. It turns out not to be the simplest baryon (as in ordinary QCD) but a baryonic state with higher charge, precisely composed of n(n±1)/2 quarks. Although not the simplest among the baryons, it is the one that minimizes the mass per unit of baryonic charge and thus is the most stable among them. The second part is devoted to the quarks in the adjoint representation. The task here assumes a different perspective. We still have a Skyrmion, but we do not have a baryon charge, like in ordinary QCD. An important role is now played by a massive fermion that must be considered in the low-energy effective Lagrangian. Through this fermion, the Skyrmion acquires an anomalous fermionic number (-1)F and, as a consequence, an odd relationship between the latter and its spin/statistic. This implies a Z2 stability of the Skyrmion
The many faces of the heterotic vortex
No full textWe address the problem of non-Abelian super-QCD, with a Fayet-Iliopoulos term, as seen from the vortex worldsheet perspective. Together with the FI term ξ, also a mass μ for the adjoint superfield Φ enters into the game. This mass allows the interpolation between N=2 and N= 1 super-QCD. We distinguish, inside the parameter space spanned by ξ and , four different corners where some quantitative statements can be made. We focus on two questions: 1) Is the quantum vortex BPS or non-BPS? 2) What is the phase of the internal non-Abelian moduli? We find that the answer to these questions depends upon the choice of the linear term in the superpotential. We then address the problem of multiple non-Abelian vortices, in the presence of the N = 1 deformation. We show that the tension of the "Abelian" vortex is not affected by the heterotic deformation, and in particular it remains BPS-saturated when is also switched on. © 2010 World Scientific Publishing Company
Domain walls, localization and confinement: What binds strings inside walls
No full textWe study a mechanism that induces confinement inside domain walls. Condensates on the two vacua separated by the wall, if they are equivalent, can tunnel from one side to the other. They can create a current and trap a confining string inside the domain wall. Strings in the two vacua are attracted toward the domain wall and form a bound state with it. We consider a simple toy model that realizes this mechanism. We also provide an example from the Seiberg-Witten theory where everything can be studied in the strong coupling regime using the dual effective action. We finally compare our findings with the previously studied wall with two different quark flavors and explain why here the discussed mechanism of confinement does not act
Large born reciprocity and cosmic accelerations
No full textThe trans-Planckian theory [1] is a model that realizes concretely the Born reciprocity idea, which is the postulate of absolute equivalence between coordinates x and momenta p. This model is intrinsically global, and thus it is naturally implemented in a cosmological setting. Cosmology and Born reciprocity are made for each other. Inflation provides the essential mechanism to suppress the terms coming from the dual part of the action. The trans-Planckian theory, on the other hand, provides an explanation for the present acceleration of the universe scale factor dominated by dark energy. This is possible just considering a simple model that contains gravity, one gauge field plus one matter field (to be identified with dark matter), together with the reciprocity principle
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