Lubos Motl
Sep26-04, 07:37 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>Hi!\n\nI think that there are at least two very interesting papers today. One of\nthem is by Cachazo+Svrcek+Witten, the powerful Princeton\'s twistor\ntriplet. They argue that there is a sort of holomorphic anomaly in the\ntwistor calculations. If someone interprets their paper in a different\nway, it would be great.\n\nThe other interesting paper is by Berkovits and Cherkis. It is certainly\none of the papers with the maximal information contained already in the\ntitle. ;-) They argue that the pure spinors (those that contain no vector\nin the squared spinor and no other p-form except for the\nmiddle-dimensional one, d/2-form) parameterize SO(d)/U(d/2) - the space of\ncomplex structures on R^d, at least for even dimensions d, which allows\nthem to be interpreted as the d-dimensional twistors (where the\ngeneralized definition of a twistor is "something that can be used to\nsolve massless equations, much like twistors in d=4". These ideas will\ncertainly sound familiar to Cumrun Vafa. It may also be relevant for\nvarious projects involving hypothetical d-dimensional twistors.\n\nI can\'t write more at this moment...\n\nAll the best\nLubos\n_____________________________________ _________________________________________\nE-mail: lumo@matfyz.cz fax: +1-617/496-0110 Web: http://lumo.matfyz.cz/\neFax: +1-801/454-1858 work: +1-617/384-9488 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>Hi!
I think that there are at least two very interesting papers today. One of
them is by Cachazo+Svrcek+Witten, the powerful Princeton's twistor
triplet. They argue that there is a sort of holomorphic anomaly in the
twistor calculations. If someone interprets their paper in a different
way, it would be great.
The other interesting paper is by Berkovits and Cherkis. It is certainly
one of the papers with the maximal information contained already in the
title. ;-) They argue that the pure spinors (those that contain no vector
in the squared spinor and no other p-form except for the
middle-dimensional one, d/2-form) parameterize SO(d)/U(d/2) - the space of
complex structures on R^d, at least for even dimensions d, which allows
them to be interpreted as the d-dimensional twistors (where the
generalized definition of a twistor is "something that can be used to
solve massless equations, much like twistors in d=4". These ideas will
certainly sound familiar to Cumrun Vafa. It may also be relevant for
various projects involving hypothetical d-dimensional twistors.
I can't write more at this moment...
All the best
Lubos
__{_______________________________________________ _____________________________}
E-mail: lumo@matfyz.cz fax: +1-617/496-0110 Web: http://lumo.matfyz.cz/
eFax: +1-801/454-1858 work: +1-617/384-9488 home: +1-617/868-4487 (call)
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ ^^^^^^^^^^^^^^^^^^^^^^^^^^^^
I think that there are at least two very interesting papers today. One of
them is by Cachazo+Svrcek+Witten, the powerful Princeton's twistor
triplet. They argue that there is a sort of holomorphic anomaly in the
twistor calculations. If someone interprets their paper in a different
way, it would be great.
The other interesting paper is by Berkovits and Cherkis. It is certainly
one of the papers with the maximal information contained already in the
title. ;-) They argue that the pure spinors (those that contain no vector
in the squared spinor and no other p-form except for the
middle-dimensional one, d/2-form) parameterize SO(d)/U(d/2) - the space of
complex structures on R^d, at least for even dimensions d, which allows
them to be interpreted as the d-dimensional twistors (where the
generalized definition of a twistor is "something that can be used to
solve massless equations, much like twistors in d=4". These ideas will
certainly sound familiar to Cumrun Vafa. It may also be relevant for
various projects involving hypothetical d-dimensional twistors.
I can't write more at this moment...
All the best
Lubos
__{_______________________________________________ _____________________________}
E-mail: lumo@matfyz.cz fax: +1-617/496-0110 Web: http://lumo.matfyz.cz/
eFax: +1-801/454-1858 work: +1-617/384-9488 home: +1-617/868-4487 (call)
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ ^^^^^^^^^^^^^^^^^^^^^^^^^^^^