Anomalies of (0,4) SCFTs from F-theory

We present a new infinite family of Type IIB backgrounds with an AdS2 factor, preserving $$ \mathcal{N} $$ N = 4 SUSY. For each member of the family we propose a precise dual Super Conformal Quantum Mechanics (SCQM). We provide holographic expressions for the number of vacua (the “central charge”), Chern-Simons terms and other non-perturbative aspects of the SCQM. We relate the “central charge” of the one-dimensional system with a combination of electric and magnetic fluxes in Type IIB. The Ramond-Ramond fluxes are used to propose an extremisation principle for the central charge. Other physical and geometrical aspects of these conformal quantum mechanics are analysed.

Section: Jhep03(2021)277mentioning

confidence: 84%

Section: Jhep03(2021)277mentioning

confidence: 99%

New AdS2 backgrounds and $$ \mathcal{N} $$ = 4 conformal quantum mechanics

Lozano

Núñez

Ramirez

et al. 2021

“…In this spirit, recent progress has focused on the construction of new AdS 3 solutions with (0, 4) Poincaré supercharges [1][2][3][4][5], as well as on the identification of their 2d dual CFTs [4][5][6][7][8]. These CFTs play a prominent role in the microscopic description of 5d black holes with AdS 3 × S 2 near-horizon geometries [10][11][12][13][14][15][16]. They feature as well in the description of 6d (1, 0) CFTs deformed away from the conformal point [17,18].…”

Section: Introductionmentioning

confidence: 99%

New $$ \mathcal{N} $$ = (0, 4) AdS3 near-horizons in Type IIB

Faedo

Lozano

Petri

2021

We construct new families of $$ \mathcal{N} $$ N = (0, 4) AdS3 × S2 × $$ {\tilde{S}}^2 $$ S ˜ 2 × S1 backgrounds fibred over a 2d Riemann surface in Type IIB string theory. These solutions are obtained by extracting the near-horizon limit of D3-brane box configurations, consisting of D3-D5-NS5 branes ending on D5′-NS5′ background branes. We relate our families of solutions to previous AdS3 × S2 × CY2 and AdS3 × S3 × S2 solutions to Type IIA recently constructed in the literature. We construct explicit 2d quiver CFTs associated to the D3-brane box configurations, and check that the central charges match the holographic result. We extend our solutions to include D7-branes, and show that a subclass of these solutions can be interpreted in terms of D3-D5-NS5 defect branes embedded in a 5d fixed point theory. This is explicitly realised by linking our solutions to a 6d domain wall that asymptotes locally the AdS6 × S2 × Σ2 solution T-dual to the Brandhuber-Oz vacuum.

“…Recently, consistency of strings defects coupled to tensor fields of the theory were worked out [7][8][9][10][11][12] based on generic properties of the conformal field theory (see e.g. [13]) on the string like defects and the anomaly inflow mechanism [14][15][16], in theories with (1, 0) supersymmetry in 10d and 6d and then generalized to other dimensions.…”

Section: Jhep11(2020)125mentioning

confidence: 99%

“…The explicit form of the constraints formulated in [7], for a 6d gauge theory of gauge group G = i G i coupled to (super)gravity, is: 12) where k i are the levels of the G i current algebra, h ∨ i the dual Coxeter number of the gauge group factor G i and c L is the central charge for the left-moving sector on the string (D1…”

Section: String Defects and The Anomaly Inflowmentioning

confidence: 99%

String defects, supersymmetry and the Swampland

Angelantonj

Bonnefoy

Condeescu

et al. 2020

Recently, Kim, Shiu and Vafa proposed general consistency conditions for six dimensional supergravity theories with minimal supersymmetry coming from couplings to strings. We test them in explicit perturbative orientifold models in order to unravel the microscopic origin of these constraints. Based on the perturbative data, we conjecture the existence of null charges Q∙Q = 0 for any six-dimensional theory with at least one tensor multiplet, coupling to string defects of charge Q. We then include the new constraint to exclude some six-dimensional supersymmetric anomaly-free examples that have currently no string or F-theory realization. We also investigate the constraints from the couplings to string defects in case where supersymmetry is broken in tachyon free vacua, containing non-BPS configurations of brane supersymmetry breaking type, where the breaking is localized on antibranes. In this case, some conditions have naturally to be changed or relaxed whenever the string defects experience supersymmetry breaking, whereas the constraints are still valid if they are geometrically separated from the supersymmetry breaking source.