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Anomaly Mediation in Superstring Theory

Joseph P. Conlon, Mark Goodsell, Eran Palti

TL;DR

This work provides a string-theoretic test of the supergravity anomaly mediation framework by computing 1-loop gaugino masses on D3-branes in a fluxed IIB background. Using annulus amplitudes in a Z4 orbifold with NSNS and RR 3-form fluxes, the authors separate anomaly-mediated and running contributions, finding exact agreement for NSNS flux while RR flux carries an off-shell ambiguity that precludes a precise numerical match. They show the anomaly-mediated mass arises from a sum over UV open-string winding modes, yet is determined by the infrared spectrum, linking UV completions to IR data through the winding-mode structure Z(t). The gravity-mediated gaugino masses are also computed, revealing two suppressed contributions from the dilaton and twisted moduli, consistent with volume factors of the compact space. Collectively, the results validate the anomaly mediation structure in a concrete string setting and illuminate the UV/IR interplay in flux compactifications, while clarifying the limitations and needed future work for RR-flux cases and higher-point checks.

Abstract

We study anomaly mediated supersymmetry breaking in type IIB string theory and use our results to test the supergravity formula for anomaly mediated gaugino masses. We compute 1-loop gaugino masses for models of D3-branes on orbifold singularities with 3-form fluxes by calculating the annulus correlator of 3-form flux and two gauginos in the zero momentum limit. Consistent with supergravity expectations we find both anomalous and running contributions to 1-loop gaugino masses. For background Neveu-Schwarz H-flux we find an exact match with the supergravity formula. For Ramond-Ramond flux there is an off-shell ambiguity that precludes a full matching. The anomaly mediated gaugino masses, while determined by the infrared spectrum, arise from an explicit sum over UV open string winding modes. We also calculate brane-to-brane tree-level gravity mediated gaugino masses and show that there are two contributions coming from the dilaton and from the twisted modes, which are suppressed by the full T^6 volume and the untwisted T^2 volume respectively.

Anomaly Mediation in Superstring Theory

TL;DR

This work provides a string-theoretic test of the supergravity anomaly mediation framework by computing 1-loop gaugino masses on D3-branes in a fluxed IIB background. Using annulus amplitudes in a Z4 orbifold with NSNS and RR 3-form fluxes, the authors separate anomaly-mediated and running contributions, finding exact agreement for NSNS flux while RR flux carries an off-shell ambiguity that precludes a precise numerical match. They show the anomaly-mediated mass arises from a sum over UV open-string winding modes, yet is determined by the infrared spectrum, linking UV completions to IR data through the winding-mode structure Z(t). The gravity-mediated gaugino masses are also computed, revealing two suppressed contributions from the dilaton and twisted moduli, consistent with volume factors of the compact space. Collectively, the results validate the anomaly mediation structure in a concrete string setting and illuminate the UV/IR interplay in flux compactifications, while clarifying the limitations and needed future work for RR-flux cases and higher-point checks.

Abstract

We study anomaly mediated supersymmetry breaking in type IIB string theory and use our results to test the supergravity formula for anomaly mediated gaugino masses. We compute 1-loop gaugino masses for models of D3-branes on orbifold singularities with 3-form fluxes by calculating the annulus correlator of 3-form flux and two gauginos in the zero momentum limit. Consistent with supergravity expectations we find both anomalous and running contributions to 1-loop gaugino masses. For background Neveu-Schwarz H-flux we find an exact match with the supergravity formula. For Ramond-Ramond flux there is an off-shell ambiguity that precludes a full matching. The anomaly mediated gaugino masses, while determined by the infrared spectrum, arise from an explicit sum over UV open string winding modes. We also calculate brane-to-brane tree-level gravity mediated gaugino masses and show that there are two contributions coming from the dilaton and from the twisted modes, which are suppressed by the full T^6 volume and the untwisted T^2 volume respectively.

Paper Structure

This paper contains 32 sections, 362 equations, 4 figures.

Table of Contents

  1. Introduction
  2. CFT Building Blocks
  3. Vertex operators
  4. Bosonic Correlators
  5. Internal untwisted quantum correlators
  6. Internal twisted quantum correlators
  7. Internal classical correlators
  8. Momentum exponential correlators and pole structures
  9. Fermionic and Ghost Correlators
  10. Partition functions
  11. The Model
  12. Local aspects
  13. Global aspects
  14. Kähler potential
  15. Gravity mediated gaugino masses
  16. ...and 17 more sections

Figures (4)

  • Figure 1: The $\mathbb{Z}_4$ quiver.
  • Figure 2: The $T^6/\mathbb{Z}_4$ orbifold. Dark circles correspond to $\theta$ fixed points and hollow squares correspond to $\theta^2$ fixed points.
  • Figure 3: The field theory diagram giving the infrared divergence. B denotes a bosonic field and G a gaugino.
  • Figure 4: Field theory limit of the four-point string diagram. The double scalar line denotes the flux insertion.