QCD, with strings attached

Güijosa, Alberto

doi:10.1142/s021830131630006x

Cited by 2 publications

(1 citation statement)

References 272 publications

(345 reference statements)

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“…as well as the massless pions. 4 It has been shown that the masses as well as coupling constants for low-lying mesons read off from the five-dimensional YM-CS theory turn out to be in reasonably good agreement with the experimental data and provide some predictions for the unknown parameters.…”

Section: þmentioning

confidence: 69%

Chern-Simons five-form and holographic baryons

Lau

Sugimoto

2017

Phys. Rev. D

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In the top-down holographic model of QCD based on D4/D8-branes in type IIA string theory and some of the bottom-up models, the low energy effective theory of mesons is described by a five-dimensional Yang-Mills-Chern-Simons theory in a certain curved background with two boundaries. The fivedimensional Chern-Simons term plays a crucial role in reproducing the correct chiral anomaly in fourdimensional massless QCD. However, there are some subtle ambiguities in the definition of the Chern-Simons term for the cases with topologically nontrivial gauge bundles, which include the configurations with baryons. In particular, for the cases with three flavors, it was pointed out by Hata and Murata that the naive Chern-Simons term does not lead to an important constraint on the baryon spectrum, which is needed to pick out the correct baryon spectrum observed in nature. In this paper, we propose a formulation of a well-defined Chern-Simons term which can be used for the cases with baryons, and show that it recovers the correct baryon constraint as well as the chiral anomaly in QCD.

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Section: þmentioning

confidence: 69%

Chern-Simons five-form and holographic baryons

Lau

Sugimoto

2017

Phys. Rev. D

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Super-exceptional geometry: origin of heterotic M-theory and super-exceptional embedding construction of M5

Fiorenza

Sati

Schreiber

2020

J. High Energ. Phys.

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In the quest for the mathematical formulation of M-theory, we consider three major open problems: a first-principles construction of the single (abelian) M5-brane Lagrangian density, the origin of the gauge field in heterotic M-theory, and the supersymmetric enhancement of exceptional M-geometry. By combining techniques from homotopy theory and from supergeometry to what we call super-exceptional geometry within super-homotopy theory, we present an elegant joint solution to all three problems. This leads to a unified description of the Nambu-Goto, Perry-Schwarz, and topological Yang-Mills Lagrangians in the topologically nontrivial setting. After explaining how charge quantization of the C-field in Cohomotopy reveals D'Auria-Fré's "hidden supergroup" of 11d supergravity as the super-exceptional target space, in the sense of Bandos, for M5brane sigma-models, we prove, in exceptional generalization of the doubly-supersymmetric super-embedding formalism, that a Perry-Schwarz-type Lagrangian for single (abelian) N = (1, 0) M5-branes emerges as the super-exceptional trivialization of the M5-brane cocycle along the super-exceptional embedding of the "half" M5-brane locus, super-exceptionally compactified on the Hořava-Witten circle fiber. From inspection of the resulting 5d super Yang-Mills Lagrangian we find that the extra fermion field appearing in super-exceptional M-geometry, whose physical interpretation had remained open, is the M-theoretic avatar of the gaugino field.

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QCD, with strings attached

Cited by 2 publications

References 272 publications

Chern-Simons five-form and holographic baryons

Chern-Simons five-form and holographic baryons

Super-exceptional geometry: origin of heterotic M-theory and super-exceptional embedding construction of M5

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