R7-Branes as Charge Conjugation Operators
Reviewed by Pith T0 review T1 audit T2 compute T3 formal T4 kernel pith:P6GVGAB2record.jsonopen to challenge →
read the original abstract
R7-branes are a class of recently discovered non-supersymmetric real codimension-two duality defects in type IIB string theory predicted by the Swampland Cobordism Conjecture. For type IIB realizations of 6D SCFTs with $\mathcal{N} = (2,0)$ supersymmetry, wrapping an R7-brane "at infinity" leads to a topological operator associated with a zero-form charge conjugation symmetry that squares to the identity. Similar considerations hold for those theories obtained from further toroidal compactification, but this can be obstructed by bundle curvature effects. Using some minimal data on the topological sector of the R7-branes, we extract the associated fusion rules for these charge conjugation operators. More broadly, we sketch a top down realization of various topological operators / interfaces associated with $\mathsf{C}$, $\mathsf{R}$, and $\mathsf{T}$ transformations. We also use holography to provide strong evidence for the existence of the R7-brane which is complementary to the Cobordism Conjecture. Similar considerations apply to other string-realized QFTs with symmetry operators constructed via non-supersymmetric branes which carry a conserved charge.
This paper has not been read by Pith yet.
Forward citations
Cited by 10 Pith papers
-
$\text{AdS}_D\times I$ solutions in axio-dilaton gravity
The authors reformulate the equations of motion for AdS_D × I solutions in axio-dilaton gravity as a first-order autonomous dynamical system, identify fixed points and analytic solutions for arbitrary D including in t...
-
Sharpened Dynamical Cobordism
Sharpened Dynamical Cobordism ties the allowed range of critical exponent δ to theory structure ξ, flagging obstructions from non-trivial cobordism charges that require new degrees of freedom.
-
AdS$_9$ solutions in type II supergravities
New analytic AdS9 solutions in type IIB with finite action and central charge, numerical massive IIA solutions with diverging action, and perturbative dS9 solutions are constructed in type II supergravities.
-
A missing link: Brane networks and the Cobordism Conjecture
Defects for discrete symmetries encoded in bordism groups Ω^ξ_2(BG) and H_2(BG;Z) are described as brane networks rather than isolated objects, extending the Cobordism Conjecture and demonstrated in 4d supergravity fr...
-
A missing link: Brane networks and the Cobordism Conjecture
Defects tied to discrete symmetries via bordism groups Ω^ξ_2(BG) and homology H_2(BG;Z) are codimension-two branes that participate in networks with junctions, expanding the Cobordism Conjecture's predictions in strin...
-
Bordisms between 9d type IIB supergravities and commutator widths of duality groups
Proposes a refinement of the Swampland Cobordism Conjecture for duality groups, arguing that diverging commutator widths necessitate infinitely many duality defects to realize monodromies in 9d supergravity bordisms.
-
Bordisms between 9d type IIB supergravities and commutator widths of duality groups
Proposes a refinement of the Swampland Cobordism Conjecture for Ω1(BG) with duality bundle G, where diverging commutator width of G requires infinitely many duality defects to realize monodromies via gravitational solitons.
-
Morse-Bott inequalities, Topology Change and Cobordisms to Nothing
Morse-Bott inequalities yield homology bounds and topology-change counts for generic cobordisms to nothing in string theory compactifications.
-
ICTP Lectures on (Non-)Invertible Generalized Symmetries
Lecture notes explain non-invertible generalized symmetries in QFTs as topological defects arising from stacking with TQFTs and gauging diagonal symmetries, plus their action on charges and the SymTFT framework.
-
Lectures on Generalized Symmetries
Lecture notes that systematically introduce higher-form symmetries, SymTFTs, higher-group symmetries, and related concepts in QFT using gauge theory examples.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.