Lubos Motl
Sep1-04, 07:07 PM
<jabberwocky><div class="vbmenu_control"><a href="jabberwocky:;" onClick="newWindow=window.open('','usenetCode','toolbar=no, location=no,scrollbars=yes,resizable=yes,status=no ,width=650,height=400'); newWindow.document.write('<HTML><HEAD><TITLE>Usenet ASCII</TITLE></HEAD><BODY topmargin=0 leftmargin=0 BGCOLOR=#F1F1F1><table border=0 width=625><td bgcolor=midnightblue><font color=#F1F1F1>This Usenet message\'s original ASCII form: </font></td></tr><tr><td width=449><br><br><font face=courier><UL><PRE>I wonder whether someone has an illuminating answer to the following\nquestion of Nima:\n\nConsider AdS/CFT with an SU(N) gauge group, and in the gravitational\nlanguage, imagine that you insert a spherical D3-brane, or a D3-anti-D3\nbrane pair. Inside the spherical brane, the flux is bigger by one (you can\ngeneralize "one" to a higher number) and the effective physics inside\nshould be described by a SU(N+1) theory, perhaps times an extra U(1).\n\nIn some sense, the SU(N) theory seems to contain a SU(N+1) subsector, does\nnot it? A specific state - some sort of entangled condensate - changes the\nphysics to a physics of a larger gauge group. We know how to reduce the\ngauge group by Higgsing - which would happen for a D3-brane - but an\nanti-D3-brane needs just the opposite. Although it is far less\nsupersymmetric, it still seems that such a configuration can be\nlong-lived, although you should check this statement.\n\nDoes someone know how to describe this increase of the gauge group in the\nCFT language, or why the arguments above are wrong? Thanks, Lubos\n___________________________________________ ___________________________________\nE-mail: lumo@matfyz.cz fax: +1-617/496-0110 Web: http://lumo.matfyz.cz/\neFax: +1-801/454-1858 work: +1-617/496-8199 home: +1-617/868-4487 (call)\n^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n\n</UL></PRE></font></td></tr></table></BODY><HTML>');"> <IMG SRC=/images/buttons/ip.gif BORDER=0 ALIGN=CENTER ALT="View this Usenet post in original ASCII form"> View this Usenet post in original ASCII form </a></div><P></jabberwocky>I wonder whether someone has an illuminating answer to the following
question of Nima:
Consider AdS/CFT with an SU(N) gauge group, and in the gravitational
language, imagine that you insert a spherical D3-brane, or a D3-anti-D3
brane pair. Inside the spherical brane, the flux is bigger by one (you can
generalize "one" to a higher number) and the effective physics inside
should be described by a SU(N+1) theory, perhaps times an extra U(1).
In some sense, the SU(N) theory seems to contain a SU(N+1) subsector, does
not it? A specific state - some sort of entangled condensate - changes the
physics to a physics of a larger gauge group. We know how to reduce the
gauge group by Higgsing - which would happen for a D3-brane - but an
anti-D3-brane needs just the opposite. Although it is far less
supersymmetric, it still seems that such a configuration can be
long-lived, although you should check this statement.
Does someone know how to describe this increase of the gauge group in the
CFT language, or why the arguments above are wrong? Thanks, Lubos
__{_______________________________________________ _____________________________}
E-mail: lumo@matfyz.cz fax: +1-617/496-0110 Web: http://lumo.matfyz.cz/
eFax: +1-801/454-1858 work: +1-617/496-8199 home: +1-617/868-4487 (call)
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ ^^^^^^^^^^^^^^^^^^^^^^^^^^^^
question of Nima:
Consider AdS/CFT with an SU(N) gauge group, and in the gravitational
language, imagine that you insert a spherical D3-brane, or a D3-anti-D3
brane pair. Inside the spherical brane, the flux is bigger by one (you can
generalize "one" to a higher number) and the effective physics inside
should be described by a SU(N+1) theory, perhaps times an extra U(1).
In some sense, the SU(N) theory seems to contain a SU(N+1) subsector, does
not it? A specific state - some sort of entangled condensate - changes the
physics to a physics of a larger gauge group. We know how to reduce the
gauge group by Higgsing - which would happen for a D3-brane - but an
anti-D3-brane needs just the opposite. Although it is far less
supersymmetric, it still seems that such a configuration can be
long-lived, although you should check this statement.
Does someone know how to describe this increase of the gauge group in the
CFT language, or why the arguments above are wrong? Thanks, Lubos
__{_______________________________________________ _____________________________}
E-mail: lumo@matfyz.cz fax: +1-617/496-0110 Web: http://lumo.matfyz.cz/
eFax: +1-801/454-1858 work: +1-617/496-8199 home: +1-617/868-4487 (call)
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ ^^^^^^^^^^^^^^^^^^^^^^^^^^^^