(1,0) superconformal models in six dimensions

Journal of High Energy Physics (Impact Factor: 6.11). 08/2011; 2011(12). DOI: 10.1007/JHEP12(2011)062
Source: arXiv


We construct six-dimensional (1,0) superconformal models with non-abelian
gauge couplings for multiple tensor multiplets. A crucial ingredient in the
construction is the introduction of three-form gauge potentials which
communicate degrees of freedom between the tensor multiplets and the Yang-Mills
multiplet, but do not introduce additional degrees of freedom. Generically
these models provide only equations of motions. For a subclass also a
Lagrangian formulation exists, however it appears to exhibit indefinite metrics
in the kinetic sector. We discuss several examples and analyze the excitation
spectra in their supersymmetric vacua. In general, the models are
perturbatively defined only in the spontaneously broken phase with the vev of
the tensor multiplet scalars serving as the inverse coupling constants of the
Yang-Mills multiplet. We briefly discuss the inclusion of hypermultiplets which
complete the field content to that of superconformal (2,0) theories.

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    • "In addition, the world-volume theory of M5-branes is expected to have the (2, 0)-superconformal symmetry in 6 dimensions. Although it is possible that only part of the supersymmetry is manifest in a Lagrangian formulation [14] [15] [24] [30], the same field content (more precisely the dynamical degrees of freedom) should agree with that of the (2, 0)-theory. "
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    ABSTRACT: A supersymmetric non-Abelian self-dual gauge theory with the explicit introduction of Kaluza-Klein modes is proposed to describe multiple M5-branes on $R^5 \times S^1$. The gauge symmetry is parametrized by Lie-algebra valued 1-forms with the redundancy of a 0-form, and the supersymmetry transformations without gauge-fixing are given. We study BPS configurations involving KK modes, including M-waves and M2-branes with non-trivial distributions around the circle. We find evidence for the restored 6D Lorentz symmetry in the decompactification limit. Finally, this supersymmetric gauge theory of two-forms can be equipped with more general non-Abelian gerbes in five dimensions.
    Full-text · Article · Sep 2014 · Journal of High Energy Physics
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    • "We emphasize again that the gauge field of the (1, 0) theory of this section is nondynamical ; It seems that due to this reason, one cannot define the nonabelian selfdual field strength in the following way: H µνρm = 3D [µ B νρ]m , as analyzed by the authors of [1]. However, in the (1, 0) theory of [6], the gauge field is dynamical, and it is possible to construct a field strength H µνρm associated with the nonabelian covariant derivative D [µ B νρ]m (see also [18] [19] [20] [21] [22] [23] [24] [25] [26]). So these two types of theories are not the same; But still, there may be a connection between them. "
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    ABSTRACT: We construct a general nonabelian (1, 0) tensor multiplet theory in six dimensions. The gauge field of this (1, 0) theory is non-dynamical, and the theory contains a continuous parameter b. When b = 1/2, the (1, 0) theory possesses an extra discrete symmetry enhancing the supersymmetry to (2, 0), and the theory turns out to be identical to the (2, 0) theory of Lambert and Papageorgakis (LP). Upon dimension reduction, we obtain a general = 1 supersymmetric Yang-Mills theory in five dimensions. The applications of the theories to D4 and M5-branes are briefly discussed.
    Preview · Article · Jan 2014 · Journal of High Energy Physics
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    • "Sin embargo, para el caso del sistema de mM5 incluso la cuestión de cual es el análogo de la descripción aproximada de muy bajas energías de SYM aún no se conoce a ciencia cierta (véase por ejemplo [131] [132] [133] para estudios relacionados y referencias). Para el caso del sistema de mM2 branas dicho problema ha permanecido sin solución muchos años pero recientemente el d = 3 N = 8 modelo de Bagger, Lambert y Gustavsson (BLG) supersimétrico [134] basado en 3–´ algebras (véase [135] y referencias alí ı) en vez dé algebras de Lie y un modelo de Aharony, Bergman, Jafferis y Maldacena (ABJM) más convencional [136] (con simetría de gauge SU (N ) × SU (N ) y sólo N = 6 supersimetrías manifiestas) han sido propuestos para dicho papel. "
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    ABSTRACT: In this thesis we have obtained and studied the complete set of superfield equations of motion for the interacting system of four-dimensional supermembrane and dynamical scalar multiplet. This study provides the first example of superfield equations for interacting system involving matter superfields and extended supersymmetric object, as well as the first set of superfield equations of motion for a dynamical system which includes supermembrane. The action for a supermembrane in a N = 1 D = 4 chiral superfield background has been also presented for the first time. We have obtained the complete set of equations of motion in spacetime components for the interacting system of dynamical D = 4 N = 1 supergravity and supermembrane from the superfield equations. To this end we have developed the Wess - Zumino approach type to Grisaru - Siegel - Gates - Ovrut - Waldram special minimal supergravity characterized by a dynamically generated cosmological constant. We have also found the superfield equations in N-extended tensorial superspaces with N = 2,4 and 8, which describe the D = 4 supermultiplets of massless conformal higher spin theory with N-extended supersymmetry. On the other hand, we have obtained the equations of motion of the system of multiple M0-brane derived from the covariant, supersymmetric and kappa-symmetric action proposed for such a system . We have also studied the gauge symmetries of the action which allows us to find the final form of the bosonic equations of motion for the center of energy coordinate functions. We have also shown that all BPS states of the system are (1/2)BPS states and have the same properties as the BPS states of a single M0-brane.
    Preview · Article · Dec 2013
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