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F-theory and Orientifolds

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arxiv hep-th/9605150 v2 pith:PVXPBBKE submitted 1996-05-22 hep-th

Ashoke Sen This is my paper · ORCID
classification hep-th
keywords theoryorientifoldanalyzingenhancedgaugelimitorbifoldpoints
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

By analyzing $F$-theory on $K3$ near the orbifold limit of $K3$ we establish the equivalence between $F$-theory on $K3$ and an orientifold of type IIB on $T^2$, which in turn, is related by a T-duality transformation to type I theory on $T^2$. By analyzing the $F$-theory background away from the orbifold limit, we show that non-perturbative effects in the orientifold theory splits an orientifold plane into two planes, with non-trivial SL(2,Z) monodromy around each of them. The mathematical description of this phenomenon is identical to the Seiberg-Witten result for N=2 supersymmetric $SU(2)$ gauge theory with four quark flavors. Points of enhanced gauge symmetry in the orientifold / $F$-theory are in one to one correspondence with the points of enhanced global symmetry in the Seiberg-Witten theory.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The AdS/$\mathsf{C}$-$\mathsf{P}$-${\mathsf T}$ Correspondence

    hep-th 2025-07 conditional novelty 8.0 of 10

    N=4 super Yang-Mills has P and T symmetries that mix with CP and CT under S-duality, and these map to specific worldsheet and geometric symmetries of Type IIB string theory.

  2. Extremal couplings, graviton exchange, and gluon scattering in AdS

    hep-th 2025-05 conditional novelty 8.0 of 10

    Extremal bulk couplings between graviton and gluon modes are computed in F-theory AdS/CFT, yielding the graviton exchange term and a complete 1/N² correlator for the D4 theory.

  3. Calabi-Yau Orientifold Hypersurfaces and their F-theory Uplifts

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    An algorithm builds Calabi-Yau orientifolds and F-theory fourfold uplifts from 6d reflexive polytopes derived from orientifold data, with code in CYTools and GitHub.

  4. Quantum obstructions for $N=1$ infinite distance limits -- Part I: $g_s$ obstructions

    hep-th 2026-03 unverdicted novelty 6.0 of 10

    Non-perturbative g_s corrections obstruct perturbative Type IIB descriptions and can remove classical infinite distance degenerations in asymptotic regions of the complex structure moduli space.

  5. Gravitational Background of Alice-Vortices and R7-Branes

    hep-th 2026-02 conditional novelty 6.0 of 10

    A family of asymptotic Alice-vortex/R7-brane backgrounds in axio-dilaton gravity is constructed, with the vortex tension encoded in a conical deficit and a generic intrinsic dipole moment.

  6. Three-Loop Gauge Beta Functions in Supersymmetric Theories with Exponential Higher Covariant Derivative Regularization

    hep-th 2025-09 unverdicted novelty 6.0 of 10

    Explicit closed-form evaluation of A(n) and B(m) for exponential regulators R(x)=e^{x^n} and F(x)=e^{x^m} yields fully parameterized three-loop beta functions in general N=1 SUSY gauge theories and demonstrates finite...

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