The paper constructs arbitrary networks of 10d non-tachyonic heterotic string theories via cobordism-implied junctions and gives worldsheet realizations for graphs, higher-dimensional networks, and compact configurations with sectors on different spaces.
D-Branes And K-Theory
13 Pith papers cite this work, alongside 6 external citations. Polarity classification is still indexing.
13
Pith papers citing it
6
external citations · Pith
abstract
By exploiting recent arguments about stable nonsupersymmetric D-brane states, we argue that D-brane charge takes values in the K-theory of spacetime, as has been suspected before. In the process, we gain a new understanding of some novel objects proposed recently - such as the Type I zerobrane - and we describe some new objects - such as a -1-brane in Type I superstring theory.
citation-role summary
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citation-polarity summary
roles
background 3representative citing papers
Global gauge groups match in the Blum–Dienes duality, but the Bergman–Gaberdiel duality needs an unexplained extra Z2 projection on type 0B orientifold branes.
Exhaustive enumeration of Landau-Ginzburg orientifold models without Kähler moduli, with computed complex structure moduli numbers and tadpole charges to flag perturbative stabilization candidates.
Refines charge quantization via homotopy type A whose homotopy groups classify brane charges and homology groups classify higher-form symmetries, deriving swampland-like constraints that rule out noncompact gauge groups and non-nilpotent Lie algebras for field strengths.
A duality web is proposed in which Z2 quotients of M-theory on S1 vee S1 and F-theory on (S1 vee S1) x S1 map to 0A/0B orientifolds and non-supersymmetric E-type and D-type heterotic strings, providing evidence for existing dualities.
In type 0A on a two-circle wedge, isolated collapsing-branch D_p^- sources incur infinite RR field energy cost as the branch shrinks, with possible infrared screening or discharge to D_p^+ via an effective relative-charge carrier.
Worldsheet effects from wedge singularities plus D0-brane emergence reproduce the tree-level tachyon mass in type 0A strings within a specific scaling limit.
Deformation of unstable K-theory quantizes D0/D2/NS5 and NS1/D4 brane fluxes in Type IIA and oxidizes to M-brane quantization.
Derives general formula for monodromy action on B-brane charge lattice via hemisphere partition functions in GLSMs and refines it for examples using quantum Kähler discriminant and torus link fundamental groups.
Non-invertible symmetry defects from 11D supergravity descend to Type IIA, splitting the Bianchi sector into invertible H[3] and twisted non-invertible F[4] parts with a BF-type auxiliary sector.
Uses calibrations to protect examined non-supersymmetric AdS vacua in type II string theory from D-brane mediated decays, including abelian bound states.
A review of existing waveform models for LISA sources and the challenges that must still be overcome.
citing papers explorer
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The Art of Networking: Networks of Trivalent 10d Heterotic Junctions
The paper constructs arbitrary networks of 10d non-tachyonic heterotic string theories via cobordism-implied junctions and gives worldsheet realizations for graphs, higher-dimensional networks, and compact configurations with sectors on different spaces.
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Non-supersymmetric dualities beyond the gauge algebra
Global gauge groups match in the Blum–Dienes duality, but the Bergman–Gaberdiel duality needs an unexplained extra Z2 projection on type 0B orientifold branes.
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Orientifolds of Gepner models without K\"ahler moduli
Exhaustive enumeration of Landau-Ginzburg orientifold models without Kähler moduli, with computed complex structure moduli numbers and tadpole charges to flag perturbative stabilization candidates.
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Generalised Symmetries and Swampland-Type Constraints from Charge Quantisation via Rational Homotopy Theory
Refines charge quantization via homotopy type A whose homotopy groups classify brane charges and homology groups classify higher-form symmetries, deriving swampland-like constraints that rule out noncompact gauge groups and non-nilpotent Lie algebras for field strengths.
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A Duality Web for Non-Supersymmetric Strings
A duality web is proposed in which Z2 quotients of M-theory on S1 vee S1 and F-theory on (S1 vee S1) x S1 map to 0A/0B orientifolds and non-supersymmetric E-type and D-type heterotic strings, providing evidence for existing dualities.
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A Circle That Won't Return: The Fate of RR Fluxes and D-branes in Type 0A Tachyon Condensation
In type 0A on a two-circle wedge, isolated collapsing-branch D_p^- sources incur infinite RR field energy cost as the branch shrinks, with possible infrared screening or discharge to D_p^+ via an effective relative-charge carrier.
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String dualities and wedge singularities
Worldsheet effects from wedge singularities plus D0-brane emergence reproduce the tree-level tachyon mass in type 0A strings within a specific scaling limit.
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Flux Quantization of Type IIA in Unstable K-Theory
Deformation of unstable K-theory quantizes D0/D2/NS5 and NS1/D4 brane fluxes in Type IIA and oxidizes to M-brane quantization.
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Monodromy of Calabi-Yau threefold flops via grade restriction rule and their quantum Kahler moduli
Derives general formula for monodromy action on B-brane charge lattice via hemisphere partition functions in GLSMs and refines it for examples using quantum Kähler discriminant and torus link fundamental groups.
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Non-Invertible Symmetries in Compactified Supergravities
Non-invertible symmetry defects from 11D supergravity descend to Type IIA, splitting the Bianchi sector into invertible H[3] and twisted non-invertible F[4] parts with a BF-type auxiliary sector.
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Stability of non-supersymmetric vacua from calibrations
Uses calibrations to protect examined non-supersymmetric AdS vacua in type II string theory from D-brane mediated decays, including abelian bound states.
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Waveform Modelling for the Laser Interferometer Space Antenna
A review of existing waveform models for LISA sources and the challenges that must still be overcome.
- A Crash Course in Supersymmetric Field Theory Across Dimensions