Built on

C. P. Herzog and I. Shamir, On Marginal Operators in Boundary Conformal Field Theory , JHEP 10
Original
1906
Earlier work this paper cites.
L. Bianchi, Marginal deformations and defect anomalies , Phys. Rev. D100
Original
1907
Earlier work this paper cites.
C. P. Herzog and I. Shamir, How a-type anomalies can depend on marginal couplings , 1907.04952
Original
1907
Earlier work this paper cites.
L. Bianchi, M. Billò, F. Galvagno and A. Lerda, Emitted Radiation and Geometry , JHEP 01
Original
1910
Earlier work this paper cites.
L. Bianchi and M. Lemos, Superconformal surfaces in four dimensions , JHEP 06
Original
1911
Earlier work this paper cites.
Y. Aharonov and D. Bohm, Significance of electromagnetic potentials in the quantum theory , Phys. Rev. 115
1959
Earlier work this paper cites.
I. Drummond, Dimensional Regularization of Massless Theories in Spherical Space-Time , Nucl. Phys. B 94
1975
Earlier work this paper cites.
A. B. Zamolodchikov, Irreversibility of the Flux of the Renormalization Group in a 2D Field Theory , JETP Lett. 43
1986
Earlier work this paper cites.
J. L. Cardy, Operator Content of Two-Dimensional Conformally Invariant Theories , Nucl. Phys. B270
1986
Earlier work this paper cites.
I. Affleck, Universal Term in the Free Energy at a Critical Point and the Conformal Anomaly , Phys. Rev. Lett. 56
1986
Earlier work this paper cites.
J. S. Dowker, Casimir Effect Around a Cone , Phys. Rev. D 36
1987
Earlier work this paper cites.
J. Dowker, Vacuum Averages for Arbitrary Spin Around a Cosmic String , Phys. Rev. D 36
1987
Earlier work this paper cites.
J. L. Cardy, Is There a c Theorem in Four-Dimensions? , Phys. Lett. B 215
1988
Earlier work this paper cites.
M. Alford, J. March-Russell and F. Wilczek, Enhanced baryon number violation due to cosmic strings , Nuclear Physics B 328
1989
Earlier work this paper cites.
P. de Sousa Gerbert and R. Jackiw, Classical and Quantum Scattering on a Spinning Cone , Commun. Math. Phys. 124
1989
Earlier work this paper cites.
S. Deser and A. Schwimmer, Geometric classification of conformal anomalies in arbitrary dimensions , Phys. Lett. B309
1993
Earlier work this paper cites.
C. Holzhey, F. Larsen and F. Wilczek, Geometric and renormalized entropy in conformal field theory , Nucl. Phys. B424
1994
Earlier work this paper cites.
C. G. Callan, Jr. and F. Wilczek, On geometric entropy , Phys. Lett. B 333
1994
Earlier work this paper cites.
D. V. Fursaev, Spectral geometry and one-loop divergences on manifolds with conical singularities , Physics Letters B 334
1994
Earlier work this paper cites.
S. N. Solodukhin, The Conical singularity and quantum corrections to entropy of black hole , Phys. Rev. D 51
1995
Earlier work this paper cites.
C. R. Graham and E. Witten, Conformal anomaly of submanifold observables in AdS / CFT correspondence , Nucl. Phys. B546
1999
Earlier work this paper cites.
A. Chalabi, A. O’Bannon, B. Robinson and J. Sisti, Central charges of 2d superconformal defects , JHEP 05
Original
2003
Earlier work this paper cites.
K. A. Intriligator and B. Wecht, The Exact superconformal R symmetry maximizes a , Nucl. Phys. B 667
2003
Earlier work this paper cites.
D. Vassilevich, Heat kernel expansion: User’s manual , Phys. Rept. 388
2003
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.
E. Lauria, P. Liendo, B. C. Van Rees and X. Zhao, Line and surface defects for the free scalar field , JHEP 01
Original
2005
Earlier work this paper cites.
H. Casini, C. D. Fosco and M. Huerta, Entanglement and alpha entropies for a massive Dirac field in two dimensions , J. Stat. Mech. 0507
2005
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT , Phys. Rev. Lett. 96
2006
Earlier work this paper cites.

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2021

Monodromy Defects in Free Field Theories

Bianchi, Lorenzo, Chalabi, Adam, Procházka, Vladimír et al.

Understand

We study co-dimension two monodromy defects in theories of conformally coupled scalars and free Dirac fermions in arbitrary $d$ dimensions.

We characterise this family of conformal defects by computing the one-point functions of the stress-tensor and conserved current for Abelian flavour symmetries as well as two-point functions of the displacement operator.
In the case of $d=4$, the normalisation of these correlation functions are related to defect Weyl anomaly coefficients, and thus provide crucial information about the defect conformal field theory.
We provide explicit checks on the values of the defect central charges by calculating the universal part of the defect contribution to entanglement entropy, and further, we use our results to extract the universal part of the vacuum R\'enyi entropy.

Built on

C. P. Herzog and I. Shamir, On Marginal Operators in Boundary Conformal Field Theory , JHEP 10
Original
1906
Earlier work this paper cites.
L. Bianchi, Marginal deformations and defect anomalies , Phys. Rev. D100
Original
1907
Earlier work this paper cites.
C. P. Herzog and I. Shamir, How a-type anomalies can depend on marginal couplings , 1907.04952
Original
1907
Earlier work this paper cites.
L. Bianchi, M. Billò, F. Galvagno and A. Lerda, Emitted Radiation and Geometry , JHEP 01
Original
1910
Earlier work this paper cites.
L. Bianchi and M. Lemos, Superconformal surfaces in four dimensions , JHEP 06
Original
1911
Earlier work this paper cites.
Y. Aharonov and D. Bohm, Significance of electromagnetic potentials in the quantum theory , Phys. Rev. 115
1959
Earlier work this paper cites.
I. Drummond, Dimensional Regularization of Massless Theories in Spherical Space-Time , Nucl. Phys. B 94
1975
Earlier work this paper cites.
A. B. Zamolodchikov, Irreversibility of the Flux of the Renormalization Group in a 2D Field Theory , JETP Lett. 43
1986
Earlier work this paper cites.
J. L. Cardy, Operator Content of Two-Dimensional Conformally Invariant Theories , Nucl. Phys. B270
1986
Earlier work this paper cites.
I. Affleck, Universal Term in the Free Energy at a Critical Point and the Conformal Anomaly , Phys. Rev. Lett. 56
1986
Earlier work this paper cites.
J. S. Dowker, Casimir Effect Around a Cone , Phys. Rev. D 36
1987
Earlier work this paper cites.
J. Dowker, Vacuum Averages for Arbitrary Spin Around a Cosmic String , Phys. Rev. D 36
1987
Earlier work this paper cites.
J. L. Cardy, Is There a c Theorem in Four-Dimensions? , Phys. Lett. B 215
1988
Earlier work this paper cites.
M. Alford, J. March-Russell and F. Wilczek, Enhanced baryon number violation due to cosmic strings , Nuclear Physics B 328
1989
Earlier work this paper cites.
P. de Sousa Gerbert and R. Jackiw, Classical and Quantum Scattering on a Spinning Cone , Commun. Math. Phys. 124
1989
Earlier work this paper cites.
S. Deser and A. Schwimmer, Geometric classification of conformal anomalies in arbitrary dimensions , Phys. Lett. B309
1993
Earlier work this paper cites.
C. Holzhey, F. Larsen and F. Wilczek, Geometric and renormalized entropy in conformal field theory , Nucl. Phys. B424
1994
Earlier work this paper cites.
C. G. Callan, Jr. and F. Wilczek, On geometric entropy , Phys. Lett. B 333
1994
Earlier work this paper cites.
D. V. Fursaev, Spectral geometry and one-loop divergences on manifolds with conical singularities , Physics Letters B 334
1994
Earlier work this paper cites.
S. N. Solodukhin, The Conical singularity and quantum corrections to entropy of black hole , Phys. Rev. D 51
1995
Earlier work this paper cites.
C. R. Graham and E. Witten, Conformal anomaly of submanifold observables in AdS / CFT correspondence , Nucl. Phys. B546
1999
Earlier work this paper cites.
A. Chalabi, A. O’Bannon, B. Robinson and J. Sisti, Central charges of 2d superconformal defects , JHEP 05
Original
2003
Earlier work this paper cites.
K. A. Intriligator and B. Wecht, The Exact superconformal R symmetry maximizes a , Nucl. Phys. B 667
2003
Earlier work this paper cites.
D. Vassilevich, Heat kernel expansion: User’s manual , Phys. Rept. 388
2003
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.
E. Lauria, P. Liendo, B. C. Van Rees and X. Zhao, Line and surface defects for the free scalar field , JHEP 01
Original
2005
Earlier work this paper cites.
H. Casini, C. D. Fosco and M. Huerta, Entanglement and alpha entropies for a massive Dirac field in two dimensions , J. Stat. Mech. 0507
2005
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT , Phys. Rev. Lett. 96
2006
Earlier work this paper cites.