Using the Witten-Sakai-Sugimoto holographic model, the authors describe axionic cosmic string loops and domain walls as D6-brane embeddings, find a first-order transition between them, and show that large-baryon-charge vortons can be metastable with radius scaling as nB/λ.
Holographic U(1)_A and String Creation
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abstract
We analyze the resolution of the U(1)_A problem in the Sakai-Sugimoto holographic dual of large N_c QCD at finite temperature. It has been shown that in the confining phase the axial symmetry is broken at order 1/N_c, in agreement with the ideas of Witten and Veneziano. We show that in the deconfined phase the axial symmetry remains unbroken to all orders in 1/N_c. In this case the breaking is due to instantons which are described by spacelike D0-branes, in agreement with 'tHooft's resolution. The holographic dual of the symmetry breaking fermion condensate is a state of spacelike strings between the D0-brane and the flavor D8-branes, which result from a spacelike version of the string creation effect. In the intermediate phase of deconfinement with broken chiral symmetry the instanton gas approximation is possibly regulated in the IR, which would imply an eta' mass-squared of order exp(-N_c).
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Cosmic Topological Defects from Holography
Using the Witten-Sakai-Sugimoto holographic model, the authors describe axionic cosmic string loops and domain walls as D6-brane embeddings, find a first-order transition between them, and show that large-baryon-charge vortons can be metastable with radius scaling as nB/λ.