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Holographic description of interfaces in 2-d CFTs - Physics

Holographic description of interfaces in 2-d CFTs - Physics

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<strong>Holographic</strong> duals <strong>of</strong> 2d <strong>in</strong>terface theories<br />

M. Gutperle UCLA<br />

Local solution <strong>of</strong> BPS-equations<br />

• Dilat<strong>in</strong>o, grav-AdS, grav-S, grav-K3 are used to express metric factors<br />

axion dilaton an five form <strong>in</strong> terms <strong>of</strong> sp<strong>in</strong>ors<br />

• 2 <strong>of</strong> 4 grav-Σ can be used to solve sp<strong>in</strong>or <strong>in</strong> terms <strong>of</strong> two<br />

holomorphic functions<br />

• The rema<strong>in</strong><strong>in</strong>g equation and the Bianchi identity <strong>of</strong> the five form can<br />

be solved <strong>in</strong> terms <strong>of</strong> two harmonic functions.<br />

Local solution: All bosonic fields are expressed <strong>in</strong> term <strong>of</strong><br />

2 holomorphic functions A(z),B(z)<br />

2 harmonic functions H(z, ¯z),K(z, ¯z)<br />

Satisfies all equations <strong>of</strong> motion and Bianchi identities <strong>of</strong> type<br />

II B supergravity

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