Compact T-branes

Marchesano, Fernando; Savelli, Raffaele; Schwieger, Sebastián

doi:10.1007/jhep09(2017)132

Cited by 19 publications

(47 citation statements)

References 64 publications

(130 reference statements)

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“…In F-theory, these homomorphisms arise as "T-brane" data for two intersecting stacks of seven-branes probing a C 2 /Z N singularity (for a partial list of references to the T-brane literature, see references [37,39,44,91,107,[112][113][114][115][116][117][118][119][120][121][122][123][124][125][126][127][128][129][130][131]). In particular, we can turn on T-brane data for either stack of seven-branes, resulting in a theory labeled by a pair of homomorphisms ρ 1 , ρ 2 ∈ Hom(su(2), g).…”

Section: B U (1)'s From Group Theorymentioning

confidence: 99%

General prescription for globalU(1)’s in 6D SCFTs

et al. 2020

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We present a general prescription for determining the global U (1) symmetries of sixdimensional superconformal field theories (6D SCFTs). We use the quiver-like gauge theory description of the tensor branch to identify candidate U (1) symmetries which can act on generalized matter. The condition that these candidate U (1)'s are free of Adler-Bell-Jackiw (ABJ) anomalies provides bottom-up constraints for U (1)'s. This agrees with the answer obtained from symmetry breaking patterns induced by Higgs branch flows. We provide numerous examples illustrating the details of this proposal. In the F-theory realization of these theories, some of these symmetries originate from deformations of non-abelian flavor symmetries localized on a component of the discriminant, while others come from an additional generator of the Mordell-Weil group. We also provide evidence that some of these global U (1)'s do not arise from gauge symmetries, as would happen in taking a decoupling limit of a model coupled to six-dimensional supergravity.There is a striking interplay between stringy extra-dimensional geometric structures and low energy effective field theories. This is particularly manifest in the context of F-theory compactifications, where intersecting seven-branes are geometrized into elliptically fibered Calabi-Yau spaces [1-3]. A prominent example illustrating the power of such methods is the recent classification of six-dimensional superconformal field theories (6D SCFTs) via Ftheory [4,5] (see also [6,7]). This provides a remarkably flexible approach to constructing 6D SCFTs which encompasses essentially all other methods (see [8][9][10][11][12][13][14][15][16][17][18][19][20][21] for a partial list of older references, references [22][23][24][25][26] for recent holographic examples, and [27] for a review).With these results in place, it is natural to ask what detailed features of 6D SCFTs can be extracted from the associated geometries. One piece of information which is readily available from an F-theory model is the tensor branch of the 6D SCFT moduli space, as this is encoded directly in terms of Kähler deformations of the base of an F-theory model. Additionally, some global symmetries correlate with the appearance of non-compact sevenbranes intersecting the localized region inhabited by a 6D SCFT. This, in tandem with field theoretic techniques, has made it possible to tightly constrain the structure of anomalies in 6D SCFTs [28][29][30][31][32][33].Even so, there are a number of outstanding open issues connected with determining the structure of global symmetries in a 6D SCFT. In what follows we exclusively focus on the case of continuous zero-form symmetries. While in many cases there is a close match between the flavor symmetries expected from geometric and field theoretic methods, there are notable examples where either the F-theory model only captures a subset of possible flavor symmetries, and conversely, where a "naïve" field theoretic analysis might at first suggest a bigger flavor symmetry than what can actually be...

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Section: B U (1)'s From Group Theorymentioning

confidence: 99%

General prescription for globalU(1)’s in 6D SCFTs

et al. 2020

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“…In [37] we initiated the study of T-branes from a global perspective, determining the conditions for BPS T-branes to exist on a compact Kähler surface S. Remarkably, we found stringent constraints on the gauge bundles defining the T-brane background, as well as on the canonical bundle of S. In particular, under the assumption of Abelian gauge bundles and Higgs fields without poles, we found an obstruction to building globally well-defined T-brane configurations in surfaces of positive or vanishing Ricci curvature.…”

Section: Introductionmentioning

confidence: 99%

“…The analysis in [37] also assumed that the 7-brane theory wrapping S can be isolated from the other sectors of the compactification. More precisely, it assumed that the 7brane BPS equations do not depend on the presence of other objects, like further 7-branes wrapping other complex surfaces.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper we implement this strategy to extend the analysis of [37], and consider T-brane configurations on S bound to a second stack of 7-branes on S . Following [14], one may use the localisation properties of 7-brane intersections to treat the degrees of freedom on Σ = S ∩ S as a defect 6d theory on R 1,3 × Σ coupled to the 8d theory on R 1,3 × S. As such, one can describe the effect of forming the bound state as a deformation of the BPS 7-brane equations on S which, as we turn on vevs for the defect fields, acquire source terms with δ-function support at Σ.…”

Section: Introductionmentioning

confidence: 99%

“…The paper is organised as follows. In section 2 we briefly review the results of [37] and extend them by adding defect sources. We devise two different schemes in which the bulk T-brane background can be hosted by a surface of positive curvature, and dub them holomorphic and meromorphic schemes.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

T-branes and defects

Marchesano

Savelli

Schwieger

2019

J. High Energ. Phys.

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We study T-branes on compact Kähler surfaces, in the presence of fields localised at curves. If such fields are treated as defects, their vevs induce delta-function sources for the 7-brane background, possibly leading to profiles with poles. We find that the presence of defect sources relaxes the constraints on globally well-defined T-brane configurations, avoiding the obstruction to building them on surfaces of positive curvature. Profiles with poles can be understood, from a 4d viewpoint, as non-trivial vevs for massive modes induced by the defects, and come with their own set of constraints. In the special case of fields localised on a self-intersection curve, we show how to retrieve the Hitchin system with defects from an ordinary global one with enhanced symmetry.

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Fission, fusion, and 6D RG flows

Heckman

Rudelius

Tomasiello

2019

J. High Energ. Phys.

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We show that all known 6D SCFTs can be obtained iteratively from an underlying set of UV progenitor theories through the processes of "fission" and "fusion." Fission consists of a tensor branch deformation followed by a special class of Higgs branch deformations characterized by discrete and continuous homomorphisms into flavor symmetry algebras. Almost all 6D SCFTs can be realized as fission products. The remainder can be constructed via one step of fusion involving these fission products, whereby a single common flavor symmetry of decoupled 6D SCFTs is gauged and paired with a new tensor multiplet at the origin of moduli space, producing an RG flow "in reverse" to the UV. This leads to a streamlined labeling scheme for all known 6D SCFTs in terms of a few pieces of group theoretic data. The partial ordering of continuous homomorphisms su(2) → g flav for g flav a flavor symmetry also points the way to a classification of 6D RG flows.

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Compact T-branes

Cited by 19 publications

References 64 publications

General prescription for globalU(1)’s in 6D SCFTs

General prescription for globalU(1)’s in 6D SCFTs

T-branes and defects

Fission, fusion, and 6D RG flows

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