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topological phases of matter via K-theory -- references

Topological phases of matter via K-theory

Topological phases of matter via K-theory

General

Classification topological phases of matter (condensed matter with gapped Hamiltonians, topological insulators) by twisted equivariant topological K-theory:

Via cobordism cohomology:

Relation to the GSO projection:

Holographic

Under AdS/CFT duality in solid state physics the K-theory-classification of topological phases of matter translates to the K-Theory classification of D-brane charge in string theory, allowing a dual description of the topological phases even at strong coupling via AdS/CFT duality:

Relation to Yang-Mills monopoles as Dp/D(p+2)-brane intersections and Yang-Mills instantons as Dp/D(p+4)-brane intersections:

  • Koji Hashimoto, Taro Kimura, Band spectrum is D-brane, Progress of Theoretical and Experimental Physics, Volume 2016, Issue 1 (arXiv:1509.04676)

  • Charlotte Kristjansen, Gordon W. Semenoff, The D3-probe-D7 brane holographic fractional topological insulator, JHEP10 (2016) 079 (arXiv:1604.08548)

Last revised on February 12, 2020 at 08:16:18. See the history of this page for a list of all contributions to it.