weak gravity conjecture from black hole entropy
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Weak Gravity Conjecture from Black Hole Entropy Clifford Cheung - PowerPoint PPT Presentation

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Weak Gravity Conjecture from Black Hole Entropy Clifford Cheung CC, Liu, Remmen (1801.08546) CC, Remmen (1407.7865) CC, Remmen (1402.2287) <latexit

  1. Weak Gravity Conjecture from Black Hole Entropy Clifford Cheung CC, Liu, Remmen (1801.08546) CC, Remmen (1407.7865) CC, Remmen (1402.2287)

  2. <latexit sha1_base64="K6+3yCXmZUmpC3c09G0VdSIusoU=">AB/3icbVBNS8NAEJ3Ur1q/oIXL4tF8FQTEfRY8NJjBdsKTQib7aZdupukuxuhxB78K148KOLVv+HNf+O2zUFbHw83pthZl6Ycqa043xbpZXVtfWN8mZla3tnd8/eP2irJOEtkjCE3kfYkU5i2lLM83pfSopFiGnXB4M/U7D1QqlsR3epxSX+B+zCJGsDZSYB+NkNenI4QEOkciyD0pUJNPArvq1JwZ0DJxC1KFAs3A/vJ6CckEjTXhWKmu6Taz7HUjHA6qXiZoikmQ9ynXUNjLKjy89n9E3RqlB6KEmkq1mim/p7IsVBqLELTKbAeqEVvKv7ndTMdXfs5i9NM05jMF0UZRzpB0zBQj0lKNB8bgolk5lZEBlhiok1kFROCu/jyMmlf1Fyn5t5eVuNIo4yHMJnIELV1CHBjShBQe4Rle4c16sl6sd+tj3lqyiplD+APr8wfJGZSu</latexit> <latexit sha1_base64="K6+3yCXmZUmpC3c09G0VdSIusoU=">AB/3icbVBNS8NAEJ3Ur1q/oIXL4tF8FQTEfRY8NJjBdsKTQib7aZdupukuxuhxB78K148KOLVv+HNf+O2zUFbHw83pthZl6Ycqa043xbpZXVtfWN8mZla3tnd8/eP2irJOEtkjCE3kfYkU5i2lLM83pfSopFiGnXB4M/U7D1QqlsR3epxSX+B+zCJGsDZSYB+NkNenI4QEOkciyD0pUJNPArvq1JwZ0DJxC1KFAs3A/vJ6CckEjTXhWKmu6Taz7HUjHA6qXiZoikmQ9ynXUNjLKjy89n9E3RqlB6KEmkq1mim/p7IsVBqLELTKbAeqEVvKv7ndTMdXfs5i9NM05jMF0UZRzpB0zBQj0lKNB8bgolk5lZEBlhiok1kFROCu/jyMmlf1Fyn5t5eVuNIo4yHMJnIELV1CHBjShBQe4Rle4c16sl6sd+tj3lqyiplD+APr8wfJGZSu</latexit> <latexit sha1_base64="K6+3yCXmZUmpC3c09G0VdSIusoU=">AB/3icbVBNS8NAEJ3Ur1q/oIXL4tF8FQTEfRY8NJjBdsKTQib7aZdupukuxuhxB78K148KOLVv+HNf+O2zUFbHw83pthZl6Ycqa043xbpZXVtfWN8mZla3tnd8/eP2irJOEtkjCE3kfYkU5i2lLM83pfSopFiGnXB4M/U7D1QqlsR3epxSX+B+zCJGsDZSYB+NkNenI4QEOkciyD0pUJNPArvq1JwZ0DJxC1KFAs3A/vJ6CckEjTXhWKmu6Taz7HUjHA6qXiZoikmQ9ynXUNjLKjy89n9E3RqlB6KEmkq1mim/p7IsVBqLELTKbAeqEVvKv7ndTMdXfs5i9NM05jMF0UZRzpB0zBQj0lKNB8bgolk5lZEBlhiok1kFROCu/jyMmlf1Fyn5t5eVuNIo4yHMJnIELV1CHBjShBQe4Rle4c16sl6sd+tj3lqyiplD+APr8wfJGZSu</latexit> <latexit sha1_base64="K6+3yCXmZUmpC3c09G0VdSIusoU=">AB/3icbVBNS8NAEJ3Ur1q/oIXL4tF8FQTEfRY8NJjBdsKTQib7aZdupukuxuhxB78K148KOLVv+HNf+O2zUFbHw83pthZl6Ycqa043xbpZXVtfWN8mZla3tnd8/eP2irJOEtkjCE3kfYkU5i2lLM83pfSopFiGnXB4M/U7D1QqlsR3epxSX+B+zCJGsDZSYB+NkNenI4QEOkciyD0pUJNPArvq1JwZ0DJxC1KFAs3A/vJ6CckEjTXhWKmu6Taz7HUjHA6qXiZoikmQ9ynXUNjLKjy89n9E3RqlB6KEmkq1mim/p7IsVBqLELTKbAeqEVvKv7ndTMdXfs5i9NM05jMF0UZRzpB0zBQj0lKNB8bgolk5lZEBlhiok1kFROCu/jyMmlf1Fyn5t5eVuNIo4yHMJnIELV1CHBjShBQe4Rle4c16sl6sd+tj3lqyiplD+APr8wfJGZSu</latexit> weak gravity conjecture (WGC) A U(1) gauge theory consistently coupled to gravity requires a charged state with q ≥ m/m Pl paraphrased by the slogan “Gravity is the weakest force.” Arkani-Hamed, Motl, Nicolis, Vafa (2006)

  3. <latexit sha1_base64="qZcjwVix2nrwOyLGKtNU1fICs5s=">AB+nicbVBNS8NAEJ3Ur1q/Uj16WSyCp5KIoMeClx4r2A9oQthsN+3S3STubiol9qd48aCIV3+JN/+N2zYHbX0w8Hhvhpl5YcqZ0o7zbZU2Nre2d8q7lb39g8Mju3rcUkmCW2ThCeyF2JFOYtpWzPNaS+VFIuQ024vp373QmViXxvZ6m1Bd4GLOIEayNFNhVEeSeFKjFZ8gb0gc0CeyaU3cWQOvELUgNCrQC+8sbJCQTNaEY6X6rpNqP8dSM8LprOJliqaYjPGQ9g2NsaDKzxenz9C5UQYoSqSpWKOF+nsix0KpqQhNp8B6pFa9ufif1890dOPnLE4zTWOyXBRlHOkEzXNAyYp0XxqCaSmVsRGWGJiTZpVUwI7urL6RzWXedunt3VWs0izjKcApncAEuXEMDmtCNhB4hGd4hTfryXqx3q2PZWvJKmZO4A+szx+EqJOF</latexit> <latexit 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<latexit sha1_base64="mbyiP1fpvB+bQXpTICz8ShlVoY=">AB8HicbVBNSwMxEJ2tX7V+VT16CRahXsquFNSDUPDisYJri+1Ssm2DU2yS5ItlKX/wosHFa/+HG/+G9N2D9r6YODx3gwz8KEM21c9sprK1vbG4Vt0s7u3v7B+XDo0cdp4pQn8Q8Vu0Qa8qZpL5htN2oigWIaetcHQ781tjqjSL5YOZJDQeCBZxAg2Vnqil4L3aDB+LxXrg1dw60SrycVCBHs1f+6vZjkgoqDeFY647nJibIsDKMcDotdVNE0xGeEA7lkosqA6y+cVTdGaVPopiZUsaNFd/T2RYaD0Roe0U2Az1sjcT/M6qYmugozJDVUksWiKOXIxGj2PuozRYnhE0swUczeisgQK0yMDalkQ/CWX14l/kXtubd1yuNRp5GEU7gFKrgwSU04A6a4AMBCc/wCm+Odl6cd+dj0Vpw8plj+APn8wc1QI9+</latexit> <latexit sha1_base64="mbyiP1fpvB+bQXpTICz8ShlVoY=">AB8HicbVBNSwMxEJ2tX7V+VT16CRahXsquFNSDUPDisYJri+1Ssm2DU2yS5ItlKX/wosHFa/+HG/+G9N2D9r6YODx3gwz8KEM21c9sprK1vbG4Vt0s7u3v7B+XDo0cdp4pQn8Q8Vu0Qa8qZpL5htN2oigWIaetcHQ781tjqjSL5YOZJDQeCBZxAg2Vnqil4L3aDB+LxXrg1dw60SrycVCBHs1f+6vZjkgoqDeFY647nJibIsDKMcDotdVNE0xGeEA7lkosqA6y+cVTdGaVPopiZUsaNFd/T2RYaD0Roe0U2Az1sjcT/M6qYmugozJDVUksWiKOXIxGj2PuozRYnhE0swUczeisgQK0yMDalkQ/CWX14l/kXtubd1yuNRp5GEU7gFKrgwSU04A6a4AMBCc/wCm+Odl6cd+dj0Vpw8plj+APn8wc1QI9+</latexit> circumstantial evidence #1 The WGC is automatically satisfied in many examples in string theory. The WGC is natural in QFT. For example, ( m W = gv ) g ≥ m/m Pl m Pl ≥ v in gauge theory with SU(2) → U(1) breaking.

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