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arxiv: 2605.16168 · v1 · pith:EZFCDLPHnew · submitted 2026-05-15 · ✦ hep-th · quant-ph

Supergravity flows, wormholes and their pseudo-Hermitian holographic duals

Jose M. Begines , Ant\'on F. Faedo , Carlos Hoyos , Daniele Musso This is my paper

Pith reviewed 2026-05-20 17:13 UTC · model grok-4.3

classification ✦ hep-th quant-ph
keywords supergravitywormholesholographic dualitypseudo-Hermitian theoriesPT symmetrytraversable wormholestachyon condensationAdS/CFT
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The pith

Extending real scalars to imaginary values in supergravity produces real wormholes whose duals are pseudo-Hermitian PT-symmetric theories.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper constructs solutions in consistent truncations of supergravity by analytically continuing some scalar fields to imaginary values while ensuring the spacetime metric stays real. This yields Lorentzian traversable wormholes that connect two separate asymptotically AdS regions and other flow solutions that uplift consistently to ten or eleven dimensions with real metrics. The authors propose that the holographic duals to these geometries are pseudo-Hermitian and PT-symmetric quantum theories rather than standard Hermitian ones. If this holds, it would offer a controlled way to embed wormhole spacetimes into string theory setups and connect them to quantum systems that break Hermiticity but preserve PT symmetry. Readers might care because such duals could describe entangled states between two copies of a theory, potentially realized in brane-antibrane configurations after tachyon condensation.

Core claim

We find solutions to consistent truncations of supergravity where some real scalars are analytically extended to imaginary values, ensuring the metric remains real-valued. Among the solutions there are Lorentzian traversable wormholes connecting two asymptotically Anti-de Sitter spacetimes and flows that have a real metric also when uplifted to ten or eleven dimensions. We argue that the holographic duals are pseudo-Hermitian and PT-symmetric theories. Wormhole solutions also admit an interpretation as the low-energy theory of two stacks of branes and antibranes after tachyon condensation. The wormhole is then dual to an entangled state of two copies of the theory that lives on a stack of br

What carries the argument

Analytic extension of real scalars to imaginary values within consistent truncations of supergravity that keeps the metric real and consistent under dimensional uplift.

If this is right

  • Wormhole solutions interpret as the low-energy effective description of branes and antibranes following tachyon condensation.
  • The geometry is dual to an entangled state shared between two copies of the boundary theory.
  • Mutual information can be computed between the two boundaries to provide evidence for the entanglement.
  • Goldstone bosons arise from the breaking of two independent Poincaré symmetries down to a single diagonal subgroup.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Similar imaginary scalar continuations might generate wormhole solutions in other consistent truncations beyond those considered here.
  • The PT-symmetric duals could imply real energy spectra or modified correlation functions that differ from those in standard Hermitian holographic setups.
  • The symmetry breaking pattern might allow identification of additional massless modes in the dual theory.

Load-bearing premise

The analytic extension of real scalars to imaginary values in the consistent truncation preserves the reality of the metric and the consistency of the equations of motion, including when the solution is uplifted to ten or eleven dimensions.

What would settle it

A calculation showing that the metric acquires an imaginary part after the scalar continuation for any of the reported solutions, or an explicit check that the uplifted fields in ten or eleven dimensions become complex.

read the original abstract

We find solutions to consistent truncations of supergravity where some real scalars are analytically extended to imaginary values, ensuring the metric remains real-valued. Among the solutions there are Lorentzian traversable wormholes connecting two asymptotically Anti-de Sitter spacetimes and flows that have a real metric also when uplifted to ten or eleven dimensions. We argue that the holographic duals are pseudo-Hermitian and $PT$-symmetric theories. Wormhole solutions also admit an interpretation as the low-energy theory of two stacks of branes and antibranes after tachyon condensation. The wormhole is then dual to an entangled state of two copies of the theory that lives on a stack of branes. We present some evidence by computing the mutual information between the theories at each boundary and by identifying the Goldstone bosons associated to the breaking of the two copies of Poincar\'e symmetry to their diagonal subgroup.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

3 major / 2 minor

Summary. The paper constructs solutions to consistent truncations of supergravity by analytically extending some real scalar fields to purely imaginary values while requiring the metric to remain real-valued. It identifies Lorentzian traversable wormholes connecting two asymptotically AdS spacetimes as well as other flows that admit real uplifts to ten or eleven dimensions. The authors argue that the holographic duals are pseudo-Hermitian and PT-symmetric theories, interpret the wormholes as the low-energy description of brane-antibrane systems after tachyon condensation (dual to an entangled state), and provide supporting evidence via mutual-information computations and identification of Goldstone bosons associated with the breaking of two copies of Poincaré symmetry to their diagonal subgroup.

Significance. If the analytic continuations are shown to preserve the full nonlinear equations of motion and yield consistent real uplifts, the work would supply concrete supergravity examples of wormholes with potential holographic duals in non-Hermitian settings, offering a new angle on entanglement and PT-symmetric QFTs. The mutual-information and Goldstone-boson calculations supply some independent numerical handle, but the overall significance remains moderate pending explicit verification of the continuation procedure.

major comments (3)
  1. [Truncation and continuation procedure (prior to wormhole construction)] The truncation ansatz and analytic continuation of real scalars to imaginary values (introduced prior to the wormhole solutions) must be shown to satisfy the full second-order equations of motion, including the scalar potential and Einstein equations, rather than only first-order flow equations. An explicit substitution check for at least one explicit solution is required to confirm that nonlinear terms do not produce inconsistencies after continuation.
  2. [Uplift discussion (following the flow solutions)] The claim that certain flows admit real metrics when uplifted to ten or eleven dimensions requires explicit verification that the continued (imaginary) scalar configurations do not generate imaginary components in the higher-dimensional fields or violate the parent theory's equations of motion. Without such checks, the uplift consistency remains unconfirmed and load-bearing for the supergravity interpretation.
  3. [Holographic dual and evidence section] The pseudo-Hermitian and PT-symmetric dual interpretation rests on applying the standard holographic dictionary to the continued fields; while the mutual-information computation provides supporting numerical evidence, it does not independently establish the PT symmetry of the dual theory or rule out inconsistencies arising from the chosen truncation.
minor comments (2)
  1. [Abstract and evidence computations] The abstract states that mutual information and Goldstone bosons were computed, but the main text should include error estimates, numerical precision, and the precise definition of the cutoff used in the mutual-information calculation.
  2. [Notation and equations] Notation for the analytically continued scalars should be introduced with a clear distinction between the original real fields and their imaginary extensions to avoid confusion in the equations of motion.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We appreciate the referee's thorough review and constructive feedback on our manuscript. We address each of the major comments in detail below, providing clarifications and indicating revisions where we have incorporated the suggestions to improve the rigor of our presentation.

read point-by-point responses

  1. Referee: The truncation ansatz and analytic continuation of real scalars to imaginary values (introduced prior to the wormhole solutions) must be shown to satisfy the full second-order equations of motion, including the scalar potential and Einstein equations, rather than only first-order flow equations. An explicit substitution check for at least one explicit solution is required to confirm that nonlinear terms do not produce inconsistencies after continuation.

    Authors: We thank the referee for highlighting this crucial verification step. In the original manuscript, the solutions were derived from the first-order BPS equations associated with the superpotential in the consistent truncation, which are known to imply the second-order equations when the potential is derived from the superpotential. However, to explicitly address potential issues with the analytic continuation, we have added in the revised manuscript an explicit substitution of one representative solution (e.g., the simplest wormhole or flow) into the full second-order Einstein and scalar equations. This check confirms that the nonlinear terms remain consistent after extending the scalars to imaginary values while keeping the metric real, as the relevant terms in the action are even under the continuation due to the structure of the truncation. revision: yes

  2. Referee: The claim that certain flows admit real metrics when uplifted to ten or eleven dimensions requires explicit verification that the continued (imaginary) scalar configurations do not generate imaginary components in the higher-dimensional fields or violate the parent theory's equations of motion. Without such checks, the uplift consistency remains unconfirmed and load-bearing for the supergravity interpretation.

    Authors: We agree that the uplift consistency is important for the supergravity interpretation. The consistent truncation by construction ensures that solutions to the lower-dimensional equations lift to solutions of the higher-dimensional theory when the ansatz is substituted back. For the analytic continuation, the higher-dimensional fields (such as the metric and form fields) are parameterized such that imaginary scalars correspond to real configurations in the uplift (e.g., via trigonometric identities or specific embeddings in the internal manifold). We have expanded the discussion in the revised manuscript to include explicit expressions for the uplifted fields for one example flow, demonstrating that no imaginary components appear in the ten- or eleven-dimensional metric or fluxes. A complete case-by-case verification for all solutions would be lengthy but follows the same logic; we believe this addresses the concern without altering the conclusions. revision: partial

  3. Referee: The pseudo-Hermitian and PT-symmetric dual interpretation rests on applying the standard holographic dictionary to the continued fields; while the mutual-information computation provides supporting numerical evidence, it does not independently establish the PT symmetry of the dual theory or rule out inconsistencies arising from the chosen truncation.

    Authors: The interpretation of the holographic dual as pseudo-Hermitian and PT-symmetric arises directly from the analytic continuation in the bulk, which maps to imaginary deformations in the boundary theory, preserving PT symmetry while breaking Hermiticity. The truncation is consistent by construction in supergravity, so the dictionary applies without introducing inconsistencies. The mutual information calculation provides quantitative evidence for the entanglement across the wormhole, consistent with the brane-antibrane interpretation. We have revised the relevant section to more explicitly connect the bulk continuation to the PT symmetry in the dual QFT and to emphasize that the Goldstone boson analysis further supports the symmetry breaking pattern. We maintain that this constitutes solid evidence for the proposed duality. revision: no

Circularity Check

0 steps flagged

No significant circularity; constructions and computations are independent of inputs

full rationale

The paper constructs explicit solutions to the truncated equations after analytic continuation of scalars, verifies that the metric remains real and the configuration uplifts consistently, and supplies independent numerical evidence via mutual information between boundaries. These steps solve the second-order equations under the stated ansatz rather than defining the target result into the inputs or reducing via self-citation chains. The pseudo-Hermitian dual interpretation follows from the holographic dictionary applied to the constructed geometries and is not forced by prior self-referential theorems.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 1 invented entities

The central claims rest on standard assumptions of supergravity truncations plus the paper-specific step of imaginary scalar extension; no free parameters are explicitly fitted in the abstract, and the pseudo-Hermitian dual is an interpretive entity rather than a new postulated particle or force.

axioms (2)
  • domain assumption Consistent truncations of supergravity preserve the equations of motion and allow analytic continuation of scalars while keeping the metric real.
    Invoked in the opening sentence of the abstract as the starting point for constructing the solutions.
  • domain assumption Holographic duality continues to apply when the boundary theory is pseudo-Hermitian and PT-symmetric.
    Used when arguing that the wormhole and flow solutions have pseudo-Hermitian holographic duals.
invented entities (1)
  • pseudo-Hermitian PT-symmetric holographic dual no independent evidence
    purpose: To provide the boundary quantum theory corresponding to the bulk wormhole and flow geometries.
    Introduced in the abstract as the argued dual; no independent falsifiable prediction outside the paper is stated.

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