T-branes and α ′ -corrections

Marchesano, Fernando; Schwieger, Sebastián

doi:10.1007/jhep11(2016)123

Cited by 21 publications

(22 citation statements)

References 75 publications

(181 reference statements)

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“…Supersymmetry requires D = 0, implying that the argument of the square root in (3.7) be a perfect square, as expected. This highly non-trivial simplification confirms the results of [18,47] on the form of the α corrections to the BPS equations. As mentioned in the introduction, the form of the DBI we are using is known to deviate from string perturbation theory starting at order α 3 , while we are limiting ourselves to a study including corrections up to α 2 order.…”

Section: Dbi Actionsupporting

confidence: 82%

“…The BPS equations governing this supersymmetric system are written in (1.1). For the present analysis, however, we will also have to consider the leading α correction to the nonholomorphic equation, which has been derived in [18,[45][46][47]. The latter will indeed be essential for establishing the duality.…”

Section: The Non-abelian Sidementioning

confidence: 99%

“…Recall that we focus on configurations where Trφ 8 = Trφ 9 = 0, and where φ c is along the Cartan of the gauge group. The last term of the last equation is an α 2 correction to the BPS equations [18,47], and to write it we collectively indicated the worldvolume coordinates as ξ α = {τ, t, σ, s}, with τ tσs = 1. For dimensional reasons, and because the D7-brane stack is flat, this is the only non-vanishing α correction to the BPS equations within the regime of validity of the Hitchin-system description.…”

Section: The Non-abelian Sidementioning

confidence: 99%

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The two faces of T-branes

Bena

Blåbäck

Savelli

et al. 2019

J. High Energ. Phys.

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We establish a brane-brane duality connecting T-branes to collections of ordinary D-branes. T-branes are intrinsically non-Abelian brane configurations with worldvolume flux, whereas their duals consist of Abelian brane systems that encode the T-brane data in their curvature. We argue that the new Abelian picture provides a reliable description of T-branes when their non-Abelian fields have large expectation values in string units. To confirm this duality, we match the energy density and all the electromagnetic couplings on both sides. A key step in this derivation is a non-trivial factorization of the symmetrized-trace non-Abelian Dirac-Born-Infeld action when evaluated on solutions of the α -corrected Hitchin system.

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Section: Dbi Actionsupporting

confidence: 82%

Section: The Non-abelian Sidementioning

confidence: 99%

Section: The Non-abelian Sidementioning

confidence: 99%

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The two faces of T-branes

Bena

Blåbäck

Savelli

et al. 2019

J. High Energ. Phys.

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“…At moderate volumes of the compactification one may in principle apply the same strategy as in [30] to see how such corrections affect the differential equations of section 2, that govern the 7-brane background. However, as these corrections do not affect the holomorphic T-brane data and are sufficiently mild not to flip the FI-term sign, the no-go theorem of section 3 should still hold.…”

Section: Jhep09(2017)132mentioning

confidence: 99%

Compact T-branes

Marchesano

Savelli

Schwieger

2017

J. High Energ. Phys.

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Abstract:We analyse global aspects of 7-brane backgrounds with a non-commuting profile for their worldvolume scalars, also known as T-branes. In particular, we consider configurations with no poles and globally well-defined over a compact Kähler surface. We find that such T-branes cannot be constructed on surfaces of positive or vanishing Ricci curvature. For the existing T-branes, we discuss their stability as we move in Kähler moduli space at large volume and provide examples of T-branes splitting into non-mutuallysupersymmetric constituents as they cross a stability wall.

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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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T-branes and α ′ -corrections

Cited by 21 publications

References 75 publications

The two faces of T-branes

The two faces of T-branes

Compact T-branes

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

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