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Ten hours ago, soul asked me who deserved the Milner Breakthrough Prize inwards Fundamental Physics final night. I couldn't write the answer inwards fourth dimension as well as I don't stimulate got a clue who would live on the right selection inwards mathematics (Jean Bourgain of Princeton's Institute won it as well as I am non certain I stimulate got ever heard the name; banknote that a special 2016 prize previously went to the 3 founders of LIGO) but my answer for key physics would acre live on Polchinski, Strominger, as well as Vafa.



Strominger, Polchinski, as well as Vafa, 2016. I was really sent as well as encouraged to role this moving-picture demo yesteryear the Breakthrough organization. ;-)

This prediction – as well as this wishing – was no rocket scientific discipline candidates for the prize along amongst Green as well as Schwarz who stimulate got received the award.

A webpage on the Breakthrough Prize server explains that the men got it
[f]or transformative advances inwards quantum acre theory, string theory, as well as quantum gravity
which are nicely chosen words. These words would live on right for most of the large shot string theorists but live on certain that in that place are at most a dozen or 2 whose locomote would really deserve these words as well as these 3 men belong to that elevation notch group.

The Breakthrough Prize also quotes their "acceptance remarks" inwards which the researchers summarize their locomote as well as explicate their reasons why they experience the locomote is important. Cumrun Vafa also adds an impressive long listing of to a greater extent than than 170 of his collaborators. Jonathan Heckman (whom I knew equally a bright pupil at Harvard) has co-written incredible 29 papers amongst Vafa (and normally soul else). Your humble correspondent is inwards the bottom "also participated" part of the list.




These are men whom I stimulate got been fortunate to know really well, specially Strominger as well as Vafa, of course. For 1 of them, the cognition is profound plenty as well as so that I know the approximate percent added to his banking concern human relationship equally good equally his fun behaviour at ethanol-enhanced parties. And I stimulate got really met a bulk of the 170+ people on Vafa's list, too. Polchinski has interacted amongst this weblog as well as has been a partial invitee blogger etc. as well as before that, I made unopen to textbook, String Theory. Polchinski, Strominger, as well as Vafa's names seem inwards 161, 140, as well as 181 TRF weblog posts, respectively.




This is mainly most their achievements inwards physics. They stimulate got (already) been incredibly productive – having written 180-290 technical papers each – as well as maintained an unbelievable character of their locomote for many decades. Sometimes 1 needs to live on at the right house inwards the right time. So I create intend that unopen to periods of their locomote stimulate got transformed the acre much to a greater extent than than others, despite a comparable amount of efforts during the unlike period.

Although they stimulate got made numerous precious insights inwards before as well as afterward moments, as well as dozens of those are discussed somewhere on this weblog equally well, as well as all of them are all the same really active now, I intend that it's right to order that the golden era (at to the lowest degree as well as so far) was the mid 1990s, the Second Superstring Revolution, inwards the instance of the 3 men.

Well, Strominger was a business office of a quartet that figured out inwards 1985 that heterotic strings compactified on Calabi-Yaus yield physics that has all the qualitative features nosotros demand to concern human relationship for gravity equally good equally the Standard Model. In the same year, 1985, Vafa was a fellow member of a quartet that invented the orbifolds as well as their assorted properties as well as implications. Polchinski made of import contributions to our agreement of renormalization. But he also industrial plant life problems amongst diverse choice foundations of quantum mechanics.



I took that moving-picture demo of Polchinski on a beach nigh KITP, Santa Barbara.

The mid 1990s were the golden era. Up to 1995 or so, Polchinski as well as Strominger worked together inwards Santa Barbara which was (especially along amongst Rutgers University) 1 of those "somewhat surprising" yet genuinely key powerhouses of theoretical physics – before the key people were to a greater extent than oftentimes than non hijacked yesteryear the unsurprising elevation universities. I've heard lots of stories most the exceptional moments when they were transforming the acre of string theory. For example, during the lunches, Polchinski would start to speak most his D-branes spell Strominger would speak most \(p\)-branes. It took quite unopen to fourth dimension to realize that inside item string vacua, they're the same objects. Couldn't they notice instantly that they rhyme as well as \(p\) rotated yesteryear 180° is a \(d\)? ;-)

Joe Polchinski wrote his unmarried most famous paper, Dirichlet branes as well as Ramond-Ramond charges, inwards 1995. Open strings inwards string theory were believed to allow only Neumann boundary conditions. However, he industrial plant life out – edifice on his sketched insights from the like shooting fish in a barrel 1980s, partly done independently yesteryear others such equally Petr Hořava at that fourth dimension – that the Dirichlet boundary atmospheric condition were consistent, too. These 2 boundary atmospheric condition were related yesteryear T-duality as well as the opened upward string amongst mixed atmospheric condition indicates 1 that ends on a dynamical object of whatever dimensionality, a Dirichlet brane or D-brane. And this object also carries a accuse – or a accuse density – sourcing the \(p\)-form fields from the Ramond-Ramond sector of closed strings. You really demand the D-branes to stimulate got whatever sources for these generalizations of the electromagnetic field; all key strings unavoidably deport nothing accuse nether these \(p\)-form fields.

Polchinski did much to a greater extent than than that – as well as yes, already the previous paragraph was worth millions of dollars. He developed a precise systematic framework to perturbatively calculate stringy processes that include D-branes inwards the background. Open strings attached to stacks of D-branes laissez passer y'all \(U(N)\) or \(SO(N)\) or \(USp(2N)\) justice groups as well as Yang-Mills or matrix-valued degrees of freedom. These seemingly technical effective theories associated amongst these newly discovered objects, D-branes (which were e'er a business office of string theory, only non appreciated), stimulate got been crucial inwards numerous breakthroughs that followed: computations of the dark hole entropy inwards string theory, dualities, Matrix theory, AdS/CFT, as well as others.



Strominger (L) as well as Vafa (R), (C) LM 2003

Just a fleck afterward inwards 1995, Strominger of Santa Barbara was already cooperating amongst Cumrun Vafa. They industrial plant life a dark hole inwards a stringy vacuum amongst 4+1 large dimensions that carried 3 types of charges. They could perfectly calculate the position out of the microstates, create upward one's heed the (hyper)area of the lawsuit horizon (mostly Strominger's work), as well as demo that they match. The argue why this Strominger-Vafa dark hole was needed is a fleck technical. You demand at to the lowest degree 3 unlike types of charges for the horizon (hyper)area to live on macroscopic. But 3 is all the same a depression plenty position out as well as so that the dark hole is BPS i.e. leaves unopen to supercharges unbroken. And those allow y'all to position the microstates of D-branes amongst strings attached to them – a description of these states at \(g_{s}\ll 1\) – as well as microstates of a truthful dark hole curving the spacetime – the description of the same, adiabatically connected microstates at \(g_s\gg 1\).

The Bekenstein-Hawking value of the entropy, \(S=A/4G\), worked perfectly. For the commencement time, this value was derived from the counting of item microstates inwards a well-defined ensemble resulting from a consistent theory. Experts instantly saw it was a breakthrough. One of the results is that Strominger made a "victory tour" over the U.S. to pick a amend chore as well as he landed at Harvard – where Vafa had already worked before that.

Cumrun Vafa collaborated amongst Strominger when the microstates were counted inwards string theory but he made a lot of deep discoveries himself. One of the explanations of the term M-theory is "mother". Vafa realized that to stimulate got babies, 1 oftentimes needs a begetter equally well, as well as so he coined F-theory. ;-) Just kidding, that's non quite the consummate mode to uncovering F-theory. F-theory is formally a theory inwards 12 spacetime dimensions but 2 of those must live on instantly compactified on an min torus. The remaining 10-dimensional spacetime harbors dynamics identical to type IIB string theory but the geometrization of the "extra 2 dimensions" allows y'all to create novel vacua amongst spacetime-dependent dilaton-axion which may live on given a 12-dimensional geometric interpretation.

M-theory – due to Witten – is the rigid coupling trammel of type IIA string theory as well as lives inwards xi spacetime dimensions. F-theory – due to Vafa – is a geometric description of to a greater extent than full general vacua of type IIB string theory as well as so these vacua stimulate got either 10 or 12 dimensions (the average of these numbers is 11), depending on your handling of the min dimensions. Although the 2 situations are completely asymmetric, M- as well as F-theory stimulate got analogously key relationships to type IIA as well as IIB string theory, respectively.

While M-theory was a completely novel trammel of the "full" theory - the exclusively trammel that had no 1D strings inwards them – F-theory was slightly quondam but allowed the people to notice completely novel types of vacua. In particular, the largest ensembles of compactifications that are oftentimes abused for the anthropic regulation depend on F-theory as well as thence Vafa's insights.

The men stimulate got done lots of other crucial work, to a greater extent than oftentimes than non right as well as sometimes at to the lowest degree "controversial": BCOV, Ooguri-Vafa, Joe's as well as Bousso's discretuum, Cumrun's swampland, Andy's dS/CFT, S-branes, Joe's firewalls, Cumrun's novel theories of the Hall effect. Their topics of interests heavily overlap (and e'er overlapped), lots of examples of AdS/CFT, as well as hundreds of others. But if 1 were identifying their place inwards the infinite of ideas yesteryear fields exterior string theory, I intend it's right to order that Joe Polchinski would also live on the "foundational guy inwards quantum acre theory, renormalization, as well as fifty-fifty foundations of quantum mechanics", Andy Strominger would live on the "general relativist, including the classical GR calculations inwards cosmology as well as astrophysics" spell Cumrun Vafa would live on the "mathematician as well as a elevation goodness inwards topological string/field theories", a topic I haven't mentioned as well as so far.

I suppose that the winners were chosen to a greater extent than oftentimes than non yesteryear the previous winners. This is a setup that has its risks but I intend that the empirical show indicates that it leads to amend picks than the arrangements based on less glorious judges.

At whatever rate, congratulations as well as goodness luck to the coming revolutions.

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