Damghan University PressJournal of Holography Applications in Physics2783-47785320250918Black Hole-String Correspondence111188910.22128/jhap.2025.2991.1123ENLeonard SusskindStanford Institute for Theoretical Physics and Department of Physics, Stanford University, Stanford, CA 94305-4060, USAJournal Article20250816I was asked to give a brief review of the black hole-string correspondence [1] as a warm-up for a longer SITP-group discussion of a recent paper by Chen, Maldacena, and Witten [2]. Here are my notes in written form.https://jhap.du.ac.ir/article_1889_0de188e67eced96a6d5a48a8a23a7c2e.pdfDamghan University PressJournal of Holography Applications in Physics2783-47785320250918Domain Wall Skyrmions in Holographic Quantum Chromodynamics: Topological Phases and Phase Transitions1230188510.22128/jhap.2025.3004.1126ENSuat DengizOSTIM Technical University, Department of Computer Engineering, 06374 Ankara, Turkiye0000-0002-7099-4608İzzet SakallıEastern Mediterranean University, Physics Department, Famagusta, 99628 North Cyprus, via Mersin 10, Turkiye0000-0001-7827-9476Journal Article20250630We investigate the domain wall skyrmions phase in the framework of holographic quantum chromodynamics (QCD) using the Sakai-Sugimoto model. Building on previous work regarding chiral soliton lattices (CSLs) in strong magnetic fields, we study the emergence of localized skyrmions a top domain walls formed by CSLs. These skyrmions, realized as undissolved D4-branes embedded in the D8-branes, carry baryon number two and exhibit complex topological and energetic features. We explore the interplay between magnetic field strength, pion mass, and baryon chemical potential in stabilizing these configurations and demonstrate the existence of a mixed CSL-skyrmions phase. Through systematic energy analysis, we establish that the domain wall skyrmions become energetically favorable when $\mu_B |B| \gtrsim \Lambda \cdot m_\pi f_\pi^2$, with the transition occurring around $\mu_B |B| \sim 4.5$ in our holographic framework. Our phase diagram reveals three distinct regions: the CSL phase at low chemical potential and magnetic field, the domain wall skyrmions phase at intermediate scales, and a conjectured skyrmions crystal phase at the highest densities. The instanton density profiles $\text{Tr}(F \wedge F)$ show sharp localization in the domain wall skyrmions phase, contrasting with the smooth, extended distribution characteristic of the pure CSL configuration. These findings provide non-perturbative insights into baryonic matter in the dense QCD and offer a geometrical picture of topological phase transitions via string theory duality, with potential applications to neutron star physics and the broader QCD phase diagram under extreme conditions.https://jhap.du.ac.ir/article_1885_d2473dc923448674873810a7a89bc696.pdfDamghan University PressJournal of Holography Applications in Physics2783-47785320250918Holographic Complexity and Residual Entropy of a Rotating BTZ Black Hole within Horndeski Gravity314949810.22128/jhap.2025.991.1114ENFabiano Francisco Dos SantosDepartamento de Física, Universidade Federal do Maranhão, São Luís, 65080-805, Brazil0000-0001-5473-8797Journal Article20250416This work explores the holographic complexity and residual entropy of a rotating BTZ black hole within the framework of Horndeski gravity. The investigation is motivated by the need to understand the emission of information from black holes, encoded by quantum complexity, which persists even at zero temperature. Traditionally, black holes are considered to cease emitting information upon reaching zero temperature, yet our findings suggest a minimum level of information or minimal entropy. This challenges the classical notion of black hole death. Recent studies in the context of Horndeski gravity and the AdS/BCFT correspondence have identified a nonzero minimal entropy at zero temperature. Our work shows that complexity and entropy provide crucial insights into the information emission from black holes, extending beyond their classical death. These findings significantly affect our understanding of black hole thermodynamics and quantum information theory.https://jhap.du.ac.ir/article_498_cc508e705d13f501ea8b24c64e382385.pdfDamghan University PressJournal of Holography Applications in Physics2783-47785320250918Journey Through Cosmic: Tsallis Holographic Dark Energy and the Deformed Starobinsky Model5063188410.22128/jhap.2025.1041.1122ENFatemeh BaziarDepartment of Physics, Faculty of Basic Sciences, University of Mazandaran, P. O. Box 47416--95447, Babolsar, Iran0009-0002-8821-7628Journal Article20250630This study investigates the intricate dynamics of Tsallis holographic dark energy within the framework of a modified Starobinsky gravity theory. The distinctiveness of the model lies in its formulation, which involves both the Ricci scalar $R$ and an additive positive term. The primary objective is to derive the equation of state parameter, a crucial element in understanding the behavior and properties of dark energy throughout the universe. To simplify and strengthen the analysis, we adopt an exponential form for the scale factor, which is commonly used in models featuring constant expansion rates due to its analytical tractability. A comprehensive stability evaluation is also carried out, with particular attention given to the squared sound speed — a critical factor in examining how fluctuations evolve within the dark energy sector. Graphical representations are employed to highlight stable regimes and to visually interpret the viability of this holographic model under modified gravitational dynamics. The findings are presented in a detailed manner, including rigorous derivations and explicit formulations that underline the theoretical consistency and potential cosmological relevance of the model.https://jhap.du.ac.ir/article_1884_6245c23089e005a36c36d5bb9949b489.pdfDamghan University PressJournal of Holography Applications in Physics2783-47785320250918Advancements in Functorial Homological Mirror Symmetry64106189610.22128/jhap.2025.3019.1130ENVeronica PasquarellaShanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS); Block A, International Innovation Plaza, No. 657 Songhu Road, 200433 Yangpu District, Shanghai, China0000-0002-3276-0341Journal Article20250816Mostly inspired by recent work by Katzarkov, Kontsevich, and Sheshmani, combined with previous work by Aganagic, Ooguri, Saulina and Vafa with regard to BPS black hole microstate counting in terms of topological field theory calculations, we will show how these tools can be applied to concrete setups arising from String Theory, and why the formalism of functorial Homological Mirror Symmetry needs to be further developed. A crucial ingredient will turn out being cobordism techniques for evaluating invariants.https://jhap.du.ac.ir/article_1896_d993e13cce351fd7859f86c75829c1dd.pdfDamghan University PressJournal of Holography Applications in Physics2783-47785320250918Analytic Continuation and Temporal Entanglement in Relativistic QFTs Emerging from Quantum Many-Body Systems107121189710.22128/jhap.2025.3002.1125ENAram BahrozBrzoDepartment of Physics, College of Education, University of Sulaimani, Sulaimani, Kurdistan Region, IRAQ0000-0002-1257-9377Journal Article20250729We reinterpret the recent prescription for temporal entanglement entropy via analytic continuation in holographic quantum field theories from the vantage point of emergent relativistic quantum field theories (QFTs) arising from quantum many-body systems. By framing this analytic continuation in terms of tensor network constructions and saddle point structures in holography, we identify the operational underpinnings that connect non-relativistic microscopic models to low-energy temporal entanglement phenomena. We provide a physical justification for complex extremal surfaces and elaborate on the non-commutativity of analytic continuation and saddle selection, supporting these insights with analogies to quantum spin chains and Gaussian states. Our analysis reveals that the geometrization of time in strongly correlated many-body systems is not merely formal but possesses physically interpretable manifestations rooted in UV/IR correspondence and tensor network dualities.https://jhap.du.ac.ir/article_1897_b86be9f3c1c28ee1c03257d1eae6c837.pdf