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We consider the index of a Dirac operator on a compact even dimensional manifold with a domain wall.
1905
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D. Fursaev and D. Vassilevich, Operators, Geometry and Quanta : Methods of spectral geometry in quantum field theory , Spinger, Dordrecht, 2011. doi:10.1007/978-94-007-0205-9
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M. Kurkov and D. Vassilevich, “Parity anomaly in four dimensions,” Phys. Rev. D 96
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P. B. Gilkey, K. Kirsten and D. V. Vassilevich, “Heat trace asymptotics with transmittal boundary conditions and quantum brane world scenario,” Nucl. Phys. B 601
2001
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K. Kirsten, Spectral functions in mathematics and physics , Chapman & Hall/CRC, Boca Raton, 2001
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M. Kurkov and D. Vassilevich, “Gravitational parity anomaly with and without boundaries,” JHEP 1803
2018
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D. Vassilevich, “Index Theorems and Domain Walls,” JHEP 1807
2018
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A. J. Niemi and G. W. Semenoff, “Axial Anomaly Induced Fermion Fractionization and Effective Gauge Theory Actions in Odd Dimensional Space-Times,” Phys. Rev. Lett. 51
2077
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