Built on

P. A. M. Dirac, Wave equations in conformal space , Annals Math. 37
1936
Earlier work this paper cites.
S. Ferrara and G. Parisi, Conformal covariant correlation functions , Nucl. Phys. B42
1972
Earlier work this paper cites.
S. Ferrara, A. F. Grillo, G. Parisi and R. Gatto, Covariant expansion of the conformal four-point function , Nucl. Phys. B49
1972
Earlier work this paper cites.
S. Ferrara, A. F. Grillo, G. Parisi and R. Gatto, The shadow operator formalism for conformal algebra. vacuum expectation values and operator products , Lett. Nuovo Cim. 4S2
1972
Earlier work this paper cites.
S. Ferrara, A. F. Grillo and G. Parisi, Nonequivalence between conformal covariant wilson expansion in euclidean and minkowski space , Lett. Nuovo Cim. 5S2
1972
Earlier work this paper cites.
S. Ferrara, R. Gatto and A. F. Grillo, Conformal algebra in space-time and operator product expansion , Springer Tracts Mod. Phys. 67
1973
Earlier work this paper cites.
V. K. Dobrev, V. B. Petkova, S. G. Petrova and I. T. Todorov, Dynamical Derivation of Vacuum Operator Product Expansion in Euclidean Conformal Quantum Field Theory , Phys. Rev. D13
1976
Earlier work this paper cites.
V. K. Dobrev, G. Mack, V. B. Petkova, S. G. Petrova and I. T. Todorov, Harmonic Analysis on the n-Dimensional Lorentz Group and Its Application to Conformal Quantum Field Theory , Lect. Notes Phys. 63
1977
Earlier work this paper cites.
J. L. Cardy, Conformal Invariance and Surface Critical Behavior , Nucl. Phys. B240
1984
Earlier work this paper cites.
D. M. McAvity and H. Osborn, Conformal field theories near a boundary in general dimensions , Nucl. Phys. B455
1995
Earlier work this paper cites.
D. E. Berenstein, R. Corrado, W. Fischler and J. M. Maldacena, The Operator product expansion for Wilson loops and surfaces in the large N limit , Phys. Rev. D59
1999
Earlier work this paper cites.
R. Corrado, B. Florea and R. McNees, Correlation functions of operators and Wilson surfaces in the d = 6, (0,2) theory in the large N limit , Phys. Rev. D60
1999
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, Entanglement entropy and quantum field theory , J. Stat. Mech. 0406
2004
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B. Chen, C.-Y. Liu and J.-B. Wu, Operator Product Expansion of Wilson surfaces from M5-branes , JHEP 01
Original
2008
Earlier work this paper cites.
J. Gomis and T. Okuda, S-duality, ’t Hooft operators and the operator product expansion , JHEP 09
Original
2009
Earlier work this paper cites.
S. Gukov and E. Witten, Rigid Surface Operators , Adv. Theor. Math. Phys. 14
Original
2010
Earlier work this paper cites.
S. Weinberg, Six-dimensional Methods for Four-dimensional Conformal Field Theories , Phys. Rev. D82
Original
2010
Earlier work this paper cites.
M. S. Costa, J. Penedones, D. Poland and S. Rychkov, Spinning Conformal Correlators , JHEP 11
Original
2011
Earlier work this paper cites.

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2018

Spinning conformal defects

Kobayashi, Nozomu, Nishioka, Tatsuma

Understand

We consider conformal defects with spins under the rotation group acting on the transverse directions.

They are described in the embedding space formalism in a similar manner to spinning local operators, and their correlation functions with bulk and defect local operators are determined by the conformal symmetry.
The operator product expansion (OPE) structure of spinning conformal defects is examined by decomposing it into the spinning defect OPE block that packages all the contribution from a conformal multiplet.
The integral representation of the block derived in the shadow formalism is facilitated to deduce recursion relations for correlation functions of two spinning conformal defects.

Built on

P. A. M. Dirac, Wave equations in conformal space , Annals Math. 37
1936
Earlier work this paper cites.
S. Ferrara and G. Parisi, Conformal covariant correlation functions , Nucl. Phys. B42
1972
Earlier work this paper cites.
S. Ferrara, A. F. Grillo, G. Parisi and R. Gatto, Covariant expansion of the conformal four-point function , Nucl. Phys. B49
1972
Earlier work this paper cites.
S. Ferrara, A. F. Grillo, G. Parisi and R. Gatto, The shadow operator formalism for conformal algebra. vacuum expectation values and operator products , Lett. Nuovo Cim. 4S2
1972
Earlier work this paper cites.
S. Ferrara, A. F. Grillo and G. Parisi, Nonequivalence between conformal covariant wilson expansion in euclidean and minkowski space , Lett. Nuovo Cim. 5S2
1972
Earlier work this paper cites.
S. Ferrara, R. Gatto and A. F. Grillo, Conformal algebra in space-time and operator product expansion , Springer Tracts Mod. Phys. 67
1973
Earlier work this paper cites.
V. K. Dobrev, V. B. Petkova, S. G. Petrova and I. T. Todorov, Dynamical Derivation of Vacuum Operator Product Expansion in Euclidean Conformal Quantum Field Theory , Phys. Rev. D13
1976
Earlier work this paper cites.
V. K. Dobrev, G. Mack, V. B. Petkova, S. G. Petrova and I. T. Todorov, Harmonic Analysis on the n-Dimensional Lorentz Group and Its Application to Conformal Quantum Field Theory , Lect. Notes Phys. 63
1977
Earlier work this paper cites.
J. L. Cardy, Conformal Invariance and Surface Critical Behavior , Nucl. Phys. B240
1984
Earlier work this paper cites.
D. M. McAvity and H. Osborn, Conformal field theories near a boundary in general dimensions , Nucl. Phys. B455
1995
Earlier work this paper cites.
D. E. Berenstein, R. Corrado, W. Fischler and J. M. Maldacena, The Operator product expansion for Wilson loops and surfaces in the large N limit , Phys. Rev. D59
1999
Earlier work this paper cites.
R. Corrado, B. Florea and R. McNees, Correlation functions of operators and Wilson surfaces in the d = 6, (0,2) theory in the large N limit , Phys. Rev. D60
1999
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, Entanglement entropy and quantum field theory , J. Stat. Mech. 0406
2004
Earlier work this paper cites.
B. Chen, C.-Y. Liu and J.-B. Wu, Operator Product Expansion of Wilson surfaces from M5-branes , JHEP 01
Original
2008
Earlier work this paper cites.
J. Gomis and T. Okuda, S-duality, ’t Hooft operators and the operator product expansion , JHEP 09
Original
2009
Earlier work this paper cites.
S. Gukov and E. Witten, Rigid Surface Operators , Adv. Theor. Math. Phys. 14
Original
2010
Earlier work this paper cites.
S. Weinberg, Six-dimensional Methods for Four-dimensional Conformal Field Theories , Phys. Rev. D82
Original
2010
Earlier work this paper cites.
M. S. Costa, J. Penedones, D. Poland and S. Rychkov, Spinning Conformal Correlators , JHEP 11
Original
2011
Earlier work this paper cites.