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 S 1 1d Texture: Stability: 0 (Φ=1) Expand to Stabilizationtwo ways

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

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

6. Superconductivity 3d Twisted Stringy Texture. x x x x z=0 z=z 0 Identify to imitate twisted loop. Main Ingredients: 1. Potential Term Induces Collapse 2. U(1) gauge field induces pressure against collapse (2d stability) 3. Scalar Twist (Hopf) N t could prevent loop collapse in 3d. 2πL 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 α β (Bachas, Tomaras PRD R5356, 1995) For N t =0 there is good agreement with previous approximate semi-analytical calculations.

11. Current Pressure (Springy Textures?) 2πL L For stability against loop collapse demand: E tot L L spring Numerical Search for parameter sectors where solutions exist. L quench

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.