Higher-derivative corrections explicitly break all hidden symmetry enhancements in the three-dimensional reductions of non-maximal supergravities.
Unity of Superstring Dualities
6 Pith papers cite this work. Polarity classification is still indexing.
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abstract
The effective action for type II string theory compactified on a six torus is $N=8$ supergravity, which is known to have an $E_{7}$ duality symmetry. We show that this is broken by quantum effects to a discrete subgroup, $E_7(\Z)$, which contains both the T-duality group $SO(6,6;\Z)$ and the S-duality group $SL(2;\Z)$. We present evidence for the conjecture that $E_7(\Z)$ is an exact \lq U-duality' symmetry of type II string theory. This conjecture requires certain extreme black hole states to be identified with massive modes of the fundamental string. The gauge bosons from the Ramond-Ramond sector couple not to string excitations but to solitons. We discuss similar issues in the context of toroidal string compactifications to other dimensions, compactifications of the type II string on $K_3\times T^2$ and compactifications of eleven-dimensional supermembrane theory.
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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.
Derives inherently 9D one-loop effective couplings in type IIB from T-duality on reduced IIA terms at order alpha'^3, demonstrating S-duality invariance without tree-level or non-perturbative input and consistency with heterotic duality.
Flat spacetime is the only fully supersymmetric solution in four-dimensional N=3 and N=4 higher derivative Poincaré supergravity, unlike N=2 where Bertotti-Robinson geometry also qualifies.
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.
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.
citing papers explorer
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Symmetries of non-maximal supergravities with higher-derivative corrections
Higher-derivative corrections explicitly break all hidden symmetry enhancements in the three-dimensional reductions of non-maximal supergravities.
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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.
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The emergence of inherently 9-dimensional one-loop effective action from T-duality
Derives inherently 9D one-loop effective couplings in type IIB from T-duality on reduced IIA terms at order alpha'^3, demonstrating S-duality invariance without tree-level or non-perturbative input and consistency with heterotic duality.
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Only Flat Spacetime is Full BPS in Four Dimensional N=3 and N=4 Supergravity
Flat spacetime is the only fully supersymmetric solution in four-dimensional N=3 and N=4 higher derivative Poincaré supergravity, unlike N=2 where Bertotti-Robinson geometry also qualifies.
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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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Bounds on Discrete Gauge Symmetries in Supergravity
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.