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\( \mathcal{N} = 1 \) SCFTs from brane monodromy

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Abstract

We present evidence for a new class of strongly coupled \( \mathcal{N} = 1 \) superconformal field theories (SCFTs) motivated by F-theory GUT constructions. These SCFTs arise from D3-brane probes of tilted seven-branes which undergo monodromy. In the probe theory, this tilting corresponds to an \( \mathcal{N} = 1 \) deformation of an \( \mathcal{N} = 2 \) SCFT by a matrix of field-dependent masses with non-trivial branch cuts in the eigenvalues. Though these eigenvalues characterize the geometry, we find that they do not uniquely specify the holomorphic data of the physical theory. We also comment on some phenomenological aspects of how these theories can couple to the visible sector. Our construction can be applied to many \( \mathcal{N} = 2 \) SCFTs, resulting in a large new class of \( \mathcal{N} = 1 \) SCFTs.

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Authors and Affiliations

  1. School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, 08540, U.S.A.

    Jonathan J. Heckman, Yuji Tachikawa & Brian Wecht

  2. Jefferson Physical Laboratory, Harvard University, Cambridge, MA, 02138, U.S.A.

    Cumrun Vafa

Authors
  1. Jonathan J. Heckman
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  2. Yuji Tachikawa
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  3. Cumrun Vafa
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  4. Brian Wecht
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Correspondence to Jonathan J. Heckman.

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ArXiv ePrint:1009.0017

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Heckman, J.J., Tachikawa, Y., Vafa, C. et al. \( \mathcal{N} = 1 \) SCFTs from brane monodromy. J. High Energ. Phys. 2010, 132 (2010). https://doi.org/10.1007/JHEP11(2010)132

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