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A chiral cascade via backreacting D7-branes with flux

Francesco Benini

TL;DR

The work realizes a chiral flavoring of the Klebanov-Tseytlin cascade by introducing backreacting D7-branes with worldvolume flux, producing fully backreacted Type IIB solutions that encode Seiberg dualities as large gauge transformations. Page charges, rather than Maxwell charges, precisely track the running gauge ranks and the emergence of gauge-singlet fields required by anomaly matching, including a mechanism for chiral zero modes at D7 intersections. The construction reveals a duality wall in the UV and a flow to a non-cascading IR, with a detailed brane-engineering dictionary connecting gravity data to field-theory cascades. These results strengthen the gauge/gravity correspondence for chiral flavored theories and hint at broader phenomenological applications from localized fermions in warped throats.

Abstract

In the context of AdS/CFT, we consider a cascading theory with an arbitrarily large number of chiral flavors. In the UV the theory can be considered as a chiral flavoring of the Klebanov-Tseytlin solution, and exhibits a duality wall. Instead in the IR, due to the rich dynamics, it safely flows to a non-cascading theory. We engineer the field theory through intersecting D7-branes with world-volume gauge flux on a conifold with 3-form fluxes, and we find new fully backreacted solutions of Type IIB Supergravity plus branes. We match the field theory cascade with supergravity by computing Page charges and interpreting Seiberg dualities as large gauge transformations of the background. Eventually we give an interpretation of the chiral zero modes arising at the intersection of the D7-branes with flux.

A chiral cascade via backreacting D7-branes with flux

TL;DR

The work realizes a chiral flavoring of the Klebanov-Tseytlin cascade by introducing backreacting D7-branes with worldvolume flux, producing fully backreacted Type IIB solutions that encode Seiberg dualities as large gauge transformations. Page charges, rather than Maxwell charges, precisely track the running gauge ranks and the emergence of gauge-singlet fields required by anomaly matching, including a mechanism for chiral zero modes at D7 intersections. The construction reveals a duality wall in the UV and a flow to a non-cascading IR, with a detailed brane-engineering dictionary connecting gravity data to field-theory cascades. These results strengthen the gauge/gravity correspondence for chiral flavored theories and hint at broader phenomenological applications from localized fermions in warped throats.

Abstract

In the context of AdS/CFT, we consider a cascading theory with an arbitrarily large number of chiral flavors. In the UV the theory can be considered as a chiral flavoring of the Klebanov-Tseytlin solution, and exhibits a duality wall. Instead in the IR, due to the rich dynamics, it safely flows to a non-cascading theory. We engineer the field theory through intersecting D7-branes with world-volume gauge flux on a conifold with 3-form fluxes, and we find new fully backreacted solutions of Type IIB Supergravity plus branes. We match the field theory cascade with supergravity by computing Page charges and interpreting Seiberg dualities as large gauge transformations of the background. Eventually we give an interpretation of the chiral zero modes arising at the intersection of the D7-branes with flux.

Paper Structure

This paper contains 20 sections, 122 equations, 4 figures, 3 tables.

Table of Contents

  1. Introduction
  2. A Field Theory Cascade
  3. SUSY D7 Probes on the Warped Conifold
  4. Type IIB Supergravity with Sources
  5. The Backreacted Solution
  6. Solutions
  7. 5-form Flux and Warp Factor
  8. Charges in Supergravity
  9. Chiral Zero Modes
  10. Page Charges
  11. Brane Engineering
  12. The Cascade
  13. Conclusions
  14. Conventions and Calabi-Yau Geometry
  15. Equations of Motion
  16. ...and 5 more sections

Figures (4)

  • Figure 1: Quiver diagram of the electric theory.
  • Figure 2: Quiver diagram of the magnetic theory after Seiberg duality.
  • Figure 3: Quiver diagram of an electric theory with a gauge singlet field $\Phi_k$ in the $(\overline{N_f},N_f)$ flavor representation.
  • Figure 4: Plot of some relevant functions: $f(\rho)$, $2\tilde{p}(\rho)/3M$, $2p(\rho)/3M$ and $N_\Phi(\rho)$.