Anomaly inflow methods for SCFT constructions in type IIB

Bah, Ibrahima; Bonetti, Federico; Minasian, Ruben; Weck, Peter

doi:10.1007/jhep02(2021)116

Cited by 21 publications

(14 citation statements)

References 52 publications

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“…We have seen that the anomaly polynomial of the low-energy CFT in two dimensions computed from purely four-dimensional data correctly reproduces the holographic results in the bulk. On the other hand, the anomaly polynomial of the two-dimensional CFT should be also computable from a ten-dimensional point of view using the anomaly inflow method developed in [49]. This could not only put the computation on firmer ground but it could also shed some light on the physics of the system.…”

Section: Discussion and Outlookmentioning

confidence: 99%

Rotating multi-charge spindles and their microstates

Hosseini,

Hristov,

Zaffaroni

2021

Preprint

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Some AdS 3 × M 7 type IIB vacua have been recently proposed to arise from D3-branes wrapped on a spindle, a sphere with conical singularities at the poles. We explicitly construct a generalization of these solutions corresponding to a class of electrically charged and rotating supersymmetric black strings in AdS 5 × S 5 with general magnetic fluxes on the spindle. We then perform a counting of their microstates using the charged Cardy formula. To this purpose, we derive the general form of the anomaly polynomial of the dual N = (0, 2) CFT in two dimensions and we show that it can be obtained via a simple gluing procedure. 4 The charged Cardy formula and the spindle microstates 21 4.1 A 2d for N = 4 super Yang-Mills on the spindle 22 4.2 The case with one magnetic charge 24 4.3 The case with arbitrary magnetic charges 27 5 A 2d for general N = 1 theories on the spindle 28

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Section: Discussion and Outlookmentioning

confidence: 99%

Rotating multi-charge spindles and their microstates

Hosseini,

Hristov,

Zaffaroni

2021

Preprint

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“…To prove the formulas (4.37) for codimension-two defects in general (2, 0) SCFTs requires a derivation of the corresponding defect 't Hooft anomalies, by extending the work of [113] to cases with an M-theory orientifold (for g = D n ), and by studying inflow in IIB string theory with ADE singularities [116]. Before ending this section, we note that beyond the family of the D ϕ [g] defects which define regular (tame) punctures in the class S setup, the 6d (2, 0) SCFTs admit a much larger zoo of superconformal codimension-two defects that give rise to irregular (wild) punctures where the superconformal symmetry is emergent in the IR [37,[117][118][119][120][121][122], as well as the twisted defects (punctures) which are attached to codimension-one topological defects generating the outer-automorphism symmetry of certain (2, 0) theories [109,[123][124][125][126][127][128][129].…”

Section: Jhep02(2022)061mentioning

confidence: 99%

Defect a-theorem and a-maximization

Wang

2022

J. High Energ. Phys.

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Conformal defects describe the universal behaviors of a conformal field theory (CFT) in the presence of a boundary or more general impurities. The coupled critical system is characterized by new conformal anomalies which are analogous to, and generalize those of standalone CFTs. Here we study the conformal a- and c-anomalies of four dimensional defects in CFTs of general spacetime dimensions greater than four. We prove that under unitary defect renormalization group (RG) flows, the defect a-anomaly must decrease, thus establishing the defect a-theorem. For conformal defects preserving minimal supersymmetry, the full defect symmetry contains a distinguished U(1)R subgroup. We derive the anomaly multiplet relations that express the defect a- and c-anomalies in terms of the defect (mixed) ’t Hooft anomalies for this U(1)R symmetry. Once the U(1)R symmetry is identified using the defect a-maximization principle which we prove, this enables a non-perturbative pathway to the conformal anomalies of strongly coupled defects. We illustrate our methods by discussing a number of examples including boundaries in five dimensions and codimension-two defects in six dimensions. We also comment on chiral algebra sectors of defect operator algebras and potential conformal collider bounds on defect anomalies.

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“…We have seen that the anomaly polynomial of the low-energy CFT in two dimensions computed from purely four-dimensional data correctly reproduces the holographic results in the bulk. On the other hand, the anomaly polynomial of the two-dimensional CFT should be also computable from a ten-dimensional point of view using the anomaly inflow method developed in [51]. This could not only put the computation on firmer ground but it could also shed some light on the physics of the system.…”

Section: Jhep07(2021)182mentioning

confidence: 99%

Rotating multi-charge spindles and their microstates

Hosseini

Hristov

Zaffaroni

2021

J. High Energ. Phys.

View full text Add to dashboard Cite

Some AdS3 × M7 type IIB vacua have been recently proposed to arise from D3-branes wrapped on a spindle, a sphere with conical singularities at the poles. We explicitly construct a generalization of these solutions corresponding to a class of electrically charged and rotating supersymmetric black strings in AdS5 × S5 with general magnetic fluxes on the spindle. We then perform a counting of their microstates using the charged Cardy formula. To this purpose, we derive the general form of the anomaly polynomial of the dual $$ \mathcal{N} $$ N = (0, 2) CFT in two dimensions and we show that it can be obtained via a simple gluing procedure.

show abstract

Anomaly inflow methods for SCFT constructions in type IIB

Cited by 21 publications

References 52 publications

Rotating multi-charge spindles and their microstates

Rotating multi-charge spindles and their microstates

Defect a-theorem and a-maximization

Rotating multi-charge spindles and their microstates

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