Quantum corrections to the thermodynamics of R-charged D1-branes
Bibliographic record
Abstract
Abstract We investigate the quantum thermodynamics of R-charged D1-branes by incorporating non-perturbative exponential corrections that arise naturally from D-instanton contributions in type IIB string theory. Our approach extends beyond classical supergravity solutions to capture the quantum gravitational regime where traditional thermodynamic descriptions break down. Through systematic analysis of the corrected entropy expression, we derive quantum-modified thermodynamic potentials including temperature, specific heat, internal energy, and Helmholtz free energy, revealing profound deviations from classical behavior in the small-horizon limit where quantum effects dominate. The exponential corrections induce thermodynamic instabilities characterized by negative specific heat and modify the brane’s phase structure, while breaking fundamental scaling relations such as the Smarr formula through quantum deviations that encode the breakdown of classical symmetries. We extend our analysis to quantum work and thermodynamic geometry, demonstrating that these corrections reveal strong attractive microstructural interactions and potential phase transitions near extremality. The thermodynamic curvature diverges negatively in the quantum regime, signaling enhanced correlations among underlying degrees of freedom. Through the AdS/CFT correspondence, we interpret these bulk quantum effects within the dual (1 + 1)-dimensional supersymmetric Yang–Mills theory, identifying suppressed degrees of freedom, anomalous scaling behavior, and quantum-induced trace anomalies in the boundary stress tensor. Our holographic renormalization analysis reveals that quantum corrections effectively reduce the central charge and introduce conformal symmetry breaking, reflecting the deep influence of quantum gravity on strongly coupled gauge theories. These findings establish the critical importance of quantum corrections in black brane thermodynamics and provide new insights into the holographic structure of gauge theories under quantum gravitational influence.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.001 | 0.002 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.002 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".