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Nov22-04, 02:05 PM

<jabberwocky><div class="vbmenu_control"><a href="jabberwocky:;" onClick="newWindow=window.open('','usenetCode','to olbar=no,location=no,scrollbars=yes,resizable=yes, status=no,width=650,height=400'); newWindow.document.write('<HTML><HEAD><TITLE>Usene t 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>Here is a followup to a recent discussion:\n\nA while ago Lubos wrote:\n\n\n> On Tue, 2 Nov 2004, Urs Schreiber wrote:\n>\n> > Yukata Matsuo & Kazumi Okuyama: BPS condition of String Junction from M\n> > Theory,\n> > hep-th/9712070\n>\n> Thanks for your research, Urs! That\'s an interesting paper, but it does\n> not seem relevant for the fivebrane worldvolume theory, as far as I see.\n> String junctions of (p,q) strings exist in type IIB; if you want to\n> describe them in M-theory, it must be M-theory on a T^2 torus, at least.\n\n\nOk, but if it (n^3 scaling via pant-like membranes) works in this\ncase, wouldn\'t it already be interesting?\n\n\n> > Curtis Callan & Larus Thorlacius: Worldsheet Dynamics of String Junctions,\n> > hep-th/9803097.\n>\n> Right, this is also junctions. It\'s hard to see how these things can\n> create BPS states for fivebranes.\n\n\nThere is the notion of a (p,q) web of 5-branes, which looks like it is\njust what is needed here. It is described in\n\nAharony, Hanany & Kol:\nWebs of (p,q) 5-branes, Five Dimensional Field Theories and Grid\nDiagrams,\nhep-th/9710116\n\nand expanded on for instance in\n\nKol & Rahmfeld:\nBPS Spectrum of 5 Dimensional Field Theories, (p,q) Webs and Curve\nCounting,\nhep-th/9801067\n\nA string network of (p,q) branes may end on a "web" of (p,q) 5-branes,\nwhere (1,0) 5-branes are D5s, whjile (0,1) 5-branes are NS5s.\n\nIf the 5-branes wrap circles in IIB, this entire (p,q) string network\nending on a (p,q) 5-brane web configuration lifts to a network of M2s\nending on (1-cycles in) M5s (wrapping (p,q) cycles on a T^2), which is\nessentially what we are looking for.\n\n\n> I thought that the pants diagrams relevant for fivebranes should already\n> exist in the infinite space, and the circles arising as the boundaries of\n> the pants membrane within the fivebranes should be closed, but\n> topologically trivial. Incidentally, it seems likely that some extra\n> physics inside the fivebrane would have to protect the circle from\n> shrinking.\n\n\nThe 5-brane must wrap cycles as must the boundary of the membranes\nending on them in the above context. But if this is how it is, would\nit make these configurations less relevant or interesting for the\nspeculation that the ~n^3 degrees of freedom are given by membrane\n"pants"?\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>Here is a followup to a recent discussion:

A while ago Lubos wrote:

> On Tue, 2 Nov 2004, Urs Schreiber wrote:
>
> > Yukata Matsuo & Kazumi Okuyama: BPS condition of String Junction from M
> > Theory,
> > http://www.arxiv.org/abs/hep-th/9712070
>
> Thanks for your research, Urs! That's an interesting paper, but it does
> not seem relevant for the fivebrane worldvolume theory, as far as I see.
> String junctions of (p,q) strings exist in type IIB; if you want to
> describe them in M-theory, it must be M-theory on

torus, at least.

Ok, but if

scaling via pant-like membranes) works in this
case, wouldn't it already be interesting?

> > Curtis Callan & Larus Thorlacius: Worldsheet Dynamics of String Junctions,
> > http://www.arxiv.org/abs/hep-th/9803097.
>
> Right, this is also junctions. It's hard to see how these things can
> create BPS states for fivebranes.

There is the notion of a (p,q) web of 5-branes, which looks like it is
just what is needed here. It is described in

Aharony, Hanany & Kol:
Webs of (p,q) 5-branes, Five Dimensional Field Theories and Grid
Diagrams,
http://www.arxiv.org/abs/hep-th/9710116

and expanded on for instance in

Kol & Rahmfeld:
BPS Spectrum of 5 Dimensional Field Theories, (p,q) Webs and Curve
Counting,
http://www.arxiv.org/abs/hep-th/9801067

A string network of (p,q) branes may end on a "web" of (p,q) 5-branes,
where (1,0) 5-branes are D5s, whjile (0,1) 5-branes are NS5s.

If the 5-branes wrap circles in IIB, this entire (p,q) string network
ending on a (p,q) 5-brane web configuration lifts to a network of M2s
ending on (1-cycles in) M5s (wrapping (p,q) cycles

which is
essentially what we are looking for.

> I thought that the pants diagrams relevant for fivebranes should already
> exist in the infinite space, and the circles arising as the boundaries of
> the pants membrane within the fivebranes should be closed, but
> topologically trivial. Incidentally, it seems likely that some extra
> physics inside the fivebrane would have to protect the circle from
> shrinking.

The 5-brane must wrap cycles as must the boundary of the membranes
ending on them in the above context. But if this is how it is, would
it make these configurations less relevant or interesting for the
speculation that the

degrees of freedom are given by membrane
"pants"?

Nov22-04, 02:05 PM	#4
Urs Schreiber Urs Schreiber is Posts: n/a	Re: BPS membranes with three boundaries <jabberwocky><div class="vbmenu_control"><a href="jabberwocky:;" onClick="newWindow=window.open('','usenetCode','to olbar=no,location=no,scrollbars=yes,resizable=yes, status=no,width=650,height=400'); newWindow.document.write('<HTML><HEAD><TITLE>Usene t 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>Here is a followup to a recent discussion:\n\nA while ago Lubos wrote:\n\n\n> On Tue, 2 Nov 2004, Urs Schreiber wrote:\n>\n> > Yukata Matsuo & Kazumi Okuyama: BPS condition of String Junction from M\n> > Theory,\n> > hep-th/9712070\n>\n> Thanks for your research, Urs! That\'s an interesting paper, but it does\n> not seem relevant for the fivebrane worldvolume theory, as far as I see.\n> String junctions of (p,q) strings exist in type IIB; if you want to\n> describe them in M-theory, it must be M-theory on a T^2 torus, at least.\n\n\nOk, but if it (n^3 scaling via pant-like membranes) works in this\ncase, wouldn\'t it already be interesting?\n\n\n> > Curtis Callan & Larus Thorlacius: Worldsheet Dynamics of String Junctions,\n> > hep-th/9803097.\n>\n> Right, this is also junctions. It\'s hard to see how these things can\n> create BPS states for fivebranes.\n\n\nThere is the notion of a (p,q) web of 5-branes, which looks like it is\njust what is needed here. It is described in\n\nAharony, Hanany & Kol:\nWebs of (p,q) 5-branes, Five Dimensional Field Theories and Grid\nDiagrams,\nhep-th/9710116\n\nand expanded on for instance in\n\nKol & Rahmfeld:\nBPS Spectrum of 5 Dimensional Field Theories, (p,q) Webs and Curve\nCounting,\nhep-th/9801067\n\nA string network of (p,q) branes may end on a "web" of (p,q) 5-branes,\nwhere (1,0) 5-branes are D5s, whjile (0,1) 5-branes are NS5s.\n\nIf the 5-branes wrap circles in IIB, this entire (p,q) string network\nending on a (p,q) 5-brane web configuration lifts to a network of M2s\nending on (1-cycles in) M5s (wrapping (p,q) cycles on a T^2), which is\nessentially what we are looking for.\n\n\n> I thought that the pants diagrams relevant for fivebranes should already\n> exist in the infinite space, and the circles arising as the boundaries of\n> the pants membrane within the fivebranes should be closed, but\n> topologically trivial. Incidentally, it seems likely that some extra\n> physics inside the fivebrane would have to protect the circle from\n> shrinking.\n\n\nThe 5-brane must wrap cycles as must the boundary of the membranes\nending on them in the above context. But if this is how it is, would\nit make these configurations less relevant or interesting for the\nspeculation that the ~n^3 degrees of freedom are given by membrane\n"pants"?\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>Here is a followup to a recent discussion: A while ago Lubos wrote: > On Tue, 2 Nov 2004, Urs Schreiber wrote: > > > Yukata Matsuo & Kazumi Okuyama: BPS condition of String Junction from M > > Theory, > > http://www.arxiv.org/abs/hep-th/9712070 > > Thanks for your research, Urs! That's an interesting paper, but it does > not seem relevant for the fivebrane worldvolume theory, as far as I see. > String junctions of (p,q) strings exist in type IIB; if you want to > describe them in M-theory, it must be M-theory on torus, at least. Ok, but if scaling via pant-like membranes) works in this case, wouldn't it already be interesting? > > Curtis Callan & Larus Thorlacius: Worldsheet Dynamics of String Junctions, > > http://www.arxiv.org/abs/hep-th/9803097. > > Right, this is also junctions. It's hard to see how these things can > create BPS states for fivebranes. There is the notion of a (p,q) web of 5-branes, which looks like it is just what is needed here. It is described in Aharony, Hanany & Kol: Webs of (p,q) 5-branes, Five Dimensional Field Theories and Grid Diagrams, http://www.arxiv.org/abs/hep-th/9710116 and expanded on for instance in Kol & Rahmfeld: BPS Spectrum of 5 Dimensional Field Theories, (p,q) Webs and Curve Counting, http://www.arxiv.org/abs/hep-th/9801067 A string network of (p,q) branes may end on a "web" of (p,q) 5-branes, where (1,0) 5-branes are D5s, whjile (0,1) 5-branes are NS5s. If the 5-branes wrap circles in IIB, this entire (p,q) string network ending on a (p,q) 5-brane web configuration lifts to a network of M2s ending on (1-cycles in) M5s (wrapping (p,q) cycles which is essentially what we are looking for. > I thought that the pants diagrams relevant for fivebranes should already > exist in the infinite space, and the circles arising as the boundaries of > the pants membrane within the fivebranes should be closed, but > topologically trivial. Incidentally, it seems likely that some extra > physics inside the fivebrane would have to protect the circle from > shrinking. The 5-brane must wrap cycles as must the boundary of the membranes ending on them in the above context. But if this is how it is, would it make these configurations less relevant or interesting for the speculation that the degrees of freedom are given by membrane "pants"?