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F-theory and the Classification of Little Strings

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arxiv 1511.05565 v3 pith:54KFALAL submitted 2015-11-17 hep-th

Lakshya Bhardwaj , Michele Del Zotto , Jonathan J. Heckman , David R. Morrison , Tom Rudelius , Cumrun Vafa This is my paper · ORCID
classification hep-th
keywords lststheoriesf-theoryfibrationslittlemultipletscftsstring
verification ladder T0 review T1 audit T2 compute T3 formal
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Little string theories (LSTs) are UV complete non-local 6D theories decoupled from gravity in which there is an intrinsic string scale. In this paper we present a systematic approach to the construction of supersymmetric LSTs via the geometric phases of F-theory. Our central result is that all LSTs with more than one tensor multiplet are obtained by a mild extension of 6D superconformal field theories (SCFTs) in which the theory is supplemented by an additional, non-dynamical tensor multiplet, analogous to adding an affine node to an ADE quiver, resulting in a negative semidefinite Dirac pairing. We also show that all 6D SCFTs naturally embed in an LST. Motivated by physical considerations, we show that in geometries where we can verify the presence of two elliptic fibrations, exchanging the roles of these fibrations amounts to T-duality in the 6D theory compactified on a circle.

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Cited by 7 Pith papers

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  1. 6d Supergravity Blocks

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    Any consistent 6d (1,0) supergravity is assembled by gluing supergravity blocks (one H-string LST plus positively intersecting external tensors whose Gram matrix has one positive eigenvalue) and enhancing gauges; non-...

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  3. Remarks on the Higgs Branch of 5d Conformal Matter

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  4. Intersection Bounds for BPS Strings in Six-Dimensional Supergravity

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    Using a lattice Zariski decomposition of the gravitational charge and E8 current-algebra embeddings, the paper bounds previously uncontrolled BPS-string intersections: C_-3·e ≤ 3, C_-2·e ≤ 7, and isolated gauged C_-2·...

  5. Atomic Higgsings of 6D SCFTs II: Induced Flows

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    For 6d SCFTs, atomic endpoint-changing Higgsings (induced flows) are identified with induced nilpotent orbits, and an analogous induction of discrete E8 homomorphisms is physically defined for orbi-instanton theories.

  6. Surface Defects in $A$-type Little String Theories

    hep-th 2024-12 conditional novelty 6.0 of 10

    The authors give a combinatorial partition function for A-type little string theories with a full-type surface defect and argue that two NS-limit regularizations are both regular due to a recursive pole-cancellation identity.

  7. Bounds on Discrete Gauge Symmetries in Supergravity

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    Upper bounds are placed on the order of enhanced discrete gauge symmetries in supersymmetric supergravity theories with 8 or more supercharges, with some bounds saturated by string theory examples.

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