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Superconducting Semilocal Stringy Textures

This talk delves into finding stable localized texture-like solitons in realistic models, covering topics such as the structure and stabilization of textures in different dimensions. The presentation discusses the stability mechanisms and formation processes of various textures, including higher derivatives and semilocal gauging. It also explores the unique properties of superconducting stringy textures and the identification of twisted loop configurations. The virial theorem, parameter space, and energy density calculations are key components of understanding these textured solutions. The conclusion and outlook highlight the potential for semilocality to stabilize textures in specific dimensions and ongoing investigations into the existence of springy textures in complex models.

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Superconducting Semilocal Stringy Textures

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  1. Superconducting Semilocal Stringy Textures L. Perivolaropoulos http://leandros.nuclear.democritos.gr Institute for Nuclear Physics Research Demokritos Research Center and T. Tomaras Department of Physics University of Crete This talk may also me found at http://leandros.nuclear.democritos.gr/talktextures

  2. Structure of Talk 1. Introduction - Texture Review 2. Stabilizing Textures Higher Derivatives Semilocal Gauge Fields 3. Superconducting Stringy Textures 4. Virial Theorem 5. Parameter Space of Stable Solutions 6. Springy Textures? 7. Conclusion - Outlook Motivation: Find Stable Localized texture-like solitons in realistic models.

  3. Textures in 1+1 A. Vacuum S1 1d Texture: Stability: 0 (Φ=1) Expand to Stabilization two ways

  4. x x x x . Textures in 3+1 B. Vacuum S3 Physical Space 3d Texture: Stability: Cosmological Mechanism for Structure Formation Stabilization two ways 1. Higher Derivatives (Skyrmion) 2. Semilocal Gauging ?

  5. x x x x . Textures in 2+1 C. Vacuum S2 2d (stringy) Texture Stability: 0 (Φ=1) Stabilization in 2d two steps 2. U(1) Gauge Field on Φ1 - Φ2 (Semilocal)

  6. x x x x . Superconductivity z=0 z=z0 3d Twisted Stringy Texture Identify to imitate twisted loop. 2πL Main Ingredients: 1. Potential Term Induces Collapse 2. U(1) gauge field induces pressure against collapse (2d stability) 3. Scalar Twist (Hopf) Nt could prevent loop collapse in 3d. L

  7. Semilocal Textures The model Twisted Stringy Texture Ansatz: Conserved Current Density Topological Charges:

  8. Virial Theorem Rescale: New Parameters: Energy Density: Rescale ρ:

  9. Numerical Solutions O(3) limit:

  10. Parameter Space Map Fix Define Parameter Space Map for Existence-Stability of Solutions β α For Nt=0 there is good agreement with previous approximate semi-analytical calculations. (Bachas, Tomaras PRD R5356, 1995)

  11. Current Pressure(Springy Textures?) For stability against loop collapse demand: 2πL Etot L L Lspring Lquench Numerical Search for parameter sectors where solutions exist.

  12. Conclusion - Outlook 1. Semilocality can stabilize textures in 2+1 dimensions. 2. Twisted superconducting stringy texture configurations exist for a finite sector of parameter space. 3. No texture - loops stabilized by current pressure (springy textures) were found in the simple model considered. Outlook Stringy textures exist also in the 2HSM. The existence of stabilized springy textures in these models is under investigation.

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