Abstract
We review some results on the connection among supergravity central charges, BPS states and Bekenstein-Hawking entropy. In particular, N=2 supergravity in four dimensions is studied in detail. For higher N supergravities we just give an account of the general theory specializing the discussion to the N=8 case when one half of supersymmetry is preserved. We stress the fact that for extremal supergravity black holes the entropy formula is topological, that is the entropy turns out to be a moduli independent quantity and can be written in terms of invariants of the duality group of the supergravity theory.
Highlights
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Summary
ÁØ × ÔÓ×× Ð ØÓ × ÓÛ ¿ Ø Ø Ø ¬Ö×Ø ÓÖ Ö « Ö ÒØ Ð ÕÙ Ø ÓÒ× ÜÔÖ ×× Ò Ø Ã ÐÐ Ò ×Ô ÒÓÖ×. Ì1⁄2 × Ò Ø Ò Ø ÓÙ Ø × ÓÒ ×Ô Ø Ó Ø ÑÓÖ Ò Ö Ð ØØÖÙ Ð×Ó ÓÖ ÒÓÒ1×ÙÔ Ö×ÝÑÑ ØÖ Ð ÓÐ ×μØØÒÖØ ÓÖ ÞÓÒ Ð ÓÐ × ÐÓÓ× Ø Ö Ö3 ́ÒÓ Ö Ø ÓÖ Ñ×μo Ì Ø × ÓÒ ØÖ × ØÓ Ô ÖØÙÖ Ø Ð ÓÐ ÛØÛØÚÖØ ÓÒ Ð Ö×ÓÑ ×Ð Ø Ñ ×× Ò ×ÓØÖÓÔÝ ÓÖ ÐÓÒ 1Ö Ò ¬ Ð Ð × Ð Öμ ÐÐ Ø × ØÙÖ × × ÔÔ Ö Ò Ö Ø ÓÖ ÞÓÒ Ü ÔØ ÓÖ Ø Ó× ××ÓØÛØØ ÓÒ× ÖÚ ÕÙ ÒØ Ø × ÓÒÖÐÖÐØÚ ØÝ Ò Ñ ÐÝ ÓÖ ÒÓÒ1ÖÓØ Ø Ò Ð ÓÐ Ø× Ñ ×× Ò Ö o. Ý ÔÓ× Ø Ú ØÝ Ó Ø ÓÔ Ö ØÓÖ Ò˦Á ˦ÂÓ Ø ÓÐÐÓÛ× Ø Ø ÓÒ Ò Ö ×Ø Ø Ø Ó ÓÑÓÐÒÝ ÓÙÒ1⁄2 μ × ÙЬÐÐ o ÙÖØ ÖÑÓÖ Ø Ð×Ó ÓÐÐÓÛ× Ø Ø Ø ×Ø Ø × Û × ØÙÖ Ø Ø ÓÙÒ ×
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