Why are fractional charges of orientifolds compatible with Dirac  quantization?

Tachikawa, Yuji; Yonekura, Kazuya

doi:10.21468/scipostphys.7.5.058

Cited by 67 publications

(125 citation statements)

References 57 publications

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“…This is responsible for the difference 1/2 of the Ramond-Ramond (RR) charges of the O3 +plane and O3 − -plane in Type-IIB string theory [43]. As explained in [44], for the consistency of the theory, the fractional part of the RR charge must be exactly negative of the anomaly of a D3-brane living on S 5 /Z 2 . The background (B, C) produced by O3 ± is such that only the O3 − leads to the anomaly of the Maxwell theory, explaining the difference of the RR charges; we note that the charge 1/4 of the O3 + -plane was already explained by the fermion anomaly [44].…”

Section: The Anomaly Of the Maxwell Theorymentioning

confidence: 98%

“…As explained in [44], for the consistency of the theory, the fractional part of the RR charge must be exactly negative of the anomaly of a D3-brane living on S 5 /Z 2 . The background (B, C) produced by O3 ± is such that only the O3 − leads to the anomaly of the Maxwell theory, explaining the difference of the RR charges; we note that the charge 1/4 of the O3 + -plane was already explained by the fermion anomaly [44]. We can also check that the resulting 1 2π Arg Z for other k is exactly what is necessary to reproduce the RR charge of the N =3 S-fold [45,46].…”

Section: The Anomaly Of the Maxwell Theorymentioning

confidence: 99%

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Anomaly of the Electromagnetic Duality of Maxwell Theory

2019

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We consider the (3+1)-dimensional Maxwell theory in the situation where going around nontrivial paths in the spacetime involves the action of the duality transformation exchanging the electric field and the magnetic field, as well as its SL(2, Z) generalizations. We find that the anomaly of this system in a particular formulation is 56 times that of a Weyl fermion. This result is derived in two independent ways: one is by using the bulk symmetry protected topological phase in 4+1 dimensions characterizing the anomaly, and the other is by considering the properties of a (5+1)-dimensional superconformal field theory known as the E-string theory. This anomaly of the Maxwell theory plays an important role in the consistency of string theory.

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Section: The Anomaly Of the Maxwell Theorymentioning

confidence: 98%

Section: The Anomaly Of the Maxwell Theorymentioning

confidence: 99%

Anomaly of the Electromagnetic Duality of Maxwell Theory

2019

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“…For convenience, we have included the relevant representations of standard model fields in table 2. As discussed recently in [58], in the presence of an extra Z 4 symmetry, it is possible to make sense of fermions in manifolds that are not Spin. More concretely, one can take the structure group to be (Spin × Z 4 )/Z 2 , where the generator of the Z 2 subgroup of Z 4 and (−1) F are identified.…”

Section: Sm Fermions and The Topological Superconductormentioning

confidence: 99%

“…More concretely, one can take the structure group to be (Spin × Z 4 )/Z 2 , where the generator of the Z 2 subgroup of Z 4 and (−1) F are identified. This was called a Spin Z 4 structure in [58]. Because of the above, the SM admits a Spin Z 4 structure.…”

Section: Sm Fermions and The Topological Superconductormentioning

confidence: 99%

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Dai-Freed anomalies in particle physics

García-Etxebarria

Montero

2019

J. High Energ. Phys.

158

280

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Anomalies can be elegantly analyzed by means of the Dai-Freed theorem. In this framework it is natural to consider a refinement of traditional anomaly cancellation conditions, which sometimes leads to nontrivial extra constraints in the fermion spectrum. We analyze these more refined anomaly cancellation conditions in a variety of theories of physical interest, including the Standard Model and the SU (5) and Spin(10) GUTs, which we find to be anomaly free. Turning to discrete symmetries, we find that baryon triality has a Z 9 anomaly that only cancels if the number of generations is a multiple of 3. Assuming the existence of certain anomaly-free Z 4 symmetry we relate the fact that there are 16 fermions per generation of the Standard model -including right-handed neutrinos -to anomalies under time-reversal of boundary states in four-dimensional topological superconductors. A similar relation exists for the MSSM, only this time involving the number of gauginos and Higgsinos, and it is non-trivially, and remarkably, satisfied for the SU (3) × SU (2) × U (1) gauge group with two Higgs doublets. We relate the constraints we find to the well-known Ibañez-Ross ones, and discuss the dependence on UV data of the construction. Finally, we comment on the (non-)existence of K-theoretic θ angles in four dimensions. A On reduced bordism groups 63 B Tables of bordism groups of a point 64 C Bordism groups for Z k 65 D 3d currents 71 E Alternate generators for Ω Spin 5 (BZ n ) 73 -1 -An important technical point is that (2.4) and (2.5) require regularization as usual in quantum field theory. If a regularization preserving the symmetry G for an arbitrary background gauge field can be found, then (2.4) is not anomalous. In particular, this always happens whenever there is a G-invariant mass term m d d xψψ (2.8) for the fermions. In this case, Pauli-Villars regularization is available [5], which is manifestly gauge invariant.

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The anomaly that was not meant IIB

Debray

Dierigl²,

Heckman

et al. 2021

Fortschritte der Physik

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Type IIB supergravity enjoys a discrete non-Abelian duality group, which has potential quantum anomalies. In this paper we explicitly compute these, and present the bordism group that controls them, modulo some physically motivated assumptions. Quite surprisingly, we find that they do not vanish, which naively would signal an inconsistency of F-theory. Remarkably, a subtle modification of the standard 10d Chern-Simons term cancels these anomalies, a fact which relies on the specific field content of type IIB supergravity. We also discover other ways to cancel this anomaly, via a topological analog of the Green-Schwarz mechanism. These alternative type IIB theories have the same low energy supergravity limit as ordinary type IIB, but a different spectrum of extended objects. They could either be part of the Swampland, or connect to the standard theory via domain walls.

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Why are fractional charges of orientifolds compatible with Dirac quantization?

Cited by 67 publications

References 57 publications

Anomaly of the Electromagnetic Duality of Maxwell Theory

Anomaly of the Electromagnetic Duality of Maxwell Theory

Dai-Freed anomalies in particle physics

The anomaly that was not meant IIB

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