Despite the continuing controversy, string theory has come to
dominate the theoretical end of high-energy physics. Among those
physicists who have been dominant players in the field since the
earliest days is Ashoke Sen of the Harish-Chandra Research Institute
in Allahabad, India. Sen, who was recently recognized by Thomson
Scientific as one of India’s Citation Laureates, has more than 12
papers in the last decade alone that have each been cited more than
100 times. Two of his papers, both on the role of so-called
"tachyons" in string theory, have been cited more than 300
times, a remarkable number for the relatively small field of
high-energy theoretical physics.
You began working on string theory in 1985, when you were still a
post-doc and it was a brand-new idea. Weren’t you concerned that it
might be risky for a post-doc without a permanent position to pursue
such a theory?
To me, it just seemed like an exciting theory, one that can
achieve the unification we have always been seeking. That was my
reason for getting into it. I didn’t really think much, in any
career sense, about the risk.
What had you been working on before string theory?
I did my Ph.D. in field theory, the more formal aspects of
what is known as perturbative field theory. I was trying to
understand the behavior of the theory at high energies. I then
worked on grand unified theories, monopoles, supersymmetry, and
eventually landed in string theory, which is where I’ve stayed.
Would you describe yourself as having been optimistic in the 1980s
that string theory would provide a so-called "theory of everything"?
There was always one obvious problem from the very beginning:
there was more than one string theory, and each string theory
had more than one vacuum, which means more than one potential
universe. That was always quite bothersome. The hope was that we
would find out that most of these theories were inconsistent and
so get a unique string theory with a unique vacuum—a unique
universe. It hasn’t happened.
How did you personally approach the problem?
I started out trying to fit string theory into grand
unification. My take was always more phenomenological. I was
trying to understand how to get the known hierarchy of particles
and forces from string theory. Then I moved into more formal
aspects—for example, looking at how strings propagate in
different backgrounds.
In your CV, you mention six areas where you’ve made major
contributions to string theory and another half dozen in which
you’ve contributed technical aspects. When you’re working on a field
with so little connection with the known universe, what drives your
next research project?
That’s actually hard to say. Of course, the eventual goal
that we always must have in mind is to derive particle physics
from string theory. This has always been my interest, and this
is what I mean by my take being more phenomenological. But my
choice of problems has been typically driven by what looked like
a logical question to ask at each stage. The long-term goal was
always to eventually get quantum mechanics and particle physics
out of string theory, but I didn’t necessarily have that in mind
each time I took on a new problem.
As a scientist based in India, do you find that being geographically
isolated from your peers in this pursuit tends to work for you or
against you?
I think it makes a difference, but it depends on the
circumstances. On the one hand, I’m not so directly influenced
by what’s considered the hot subject of the moment. That can be
an advantage when the subject is somewhat stuck in its tracks.
And being far from the crowd allows you to think
independently—you’re not immediately influenced by what everyone
is doing. But when a lot is going on and the field is evolving
quickly, it can be a disadvantage to be far away. It’s harder to
keep up.
What do you see as the biggest challenge to string theorists today?
|
Highly Cited Papers by
Ashoke Sen,
Published Since 1998
(Ranked by total citations)
| Rank |
Paper |
Citations |
| 1 |
A. Sen, "Rolling tachyon," J. High
Energy Phys., 4: 048, 2002. |
377 |
| 2 |
A. Sen, "Tachyon
condensation on the
brane antibrane system," J. High
Energy Phys., 8: 012, 1998. |
327 |
| 3 |
A. Sen, "Tachyon matter,"
J. High Energy Phys., 7: 065, 2002. |
264 |
| 4 |
A. Sen, "Universality of
the tachyon potential," J. High Energy Phys., 12:
027, 1999. |
235 |
|
5 |
A. Sen, "Descent relations
among bosonic D-branes,", Int. J. Mod. Phys.,
14(25): 4061-77, 1999. |
222 |
|
The biggest challenge is still the obvious one: trying to
understand particle physics as we know it from string theory. We
now have this one scenario, known as the "landscape" idea, that
gives one framework by which particle physics might be realized
in string theory. I don’t find it particularly desirable. I
would have liked to get a more unique answer from string theory,
but you cannot dictate to nature what it should do—if that’s the
answer, then that’s the answer. At the moment, we need a better,
more theoretical understanding of this landscape to really see
what’s going on.
What is the landscape idea, and where does it get you?
"Landscape" refers to the idea that string theory has many,
many different vacua. From the four-dimensional perspective,
some are what we call de Sitter spaces, some are anti-de Sitter,
and some are Minkowski spaces. If these had been different
theories with no way of going from one to the other, then we
would be stuck again with that question of which is the vacuum
we live in; who chooses the vacuum? However, in string theory
they appear as different phases of the same underlying theory.
Furthermore, if you have a phase with a large enough
cosmological constant, it expands so fast that even as parts of
that universe decay into more stable vacua, these parts to not
merge with each other and remain separated by the intervening
medium of a rapidly expanding phase of the universe. This way
you can populate all the vacua in the theory, starting with a
single de Sitter universe that has a large enough cosmological
constant. What happens is that because the original de Sitter
phase expands forever, this process goes on forever and
eventually all possible vacua of string theory are populated in
some part of the universe or another.
And we just happen to be living in a universe in which the various
parameters are suitable for life?
That’s right.
It sounds like the kind of idea that would seriously bother those
theorists who believe a viable theory should specify a single
universe and particularly the universe we live in.
Yes.
How do you feel about it?
If this is the truth, then we have to accept it. It might not
be the truth we prefer, but we still have to accept it. I would
also add that it has not been established that this is the
truth—there’s a lot to understand about this subject before we
conclude anything one way or the other.
Your most influential research is on tachyons. What are tachyons,
and how do they fit into string theory?
The name "tachyon" is a misnomer. If we try to quantize a
theory with instability, it appears as if the theory has a
particle with negative mass squared. That’s technically a
tachyon, so that’s where the name comes from. In actuality, it’s
just the presence of an instability in the system. It says we’re
trying to quantize the theory around a maximum of potential
energy, and that gives you the instability in the system.
What makes these tachyons, these instabilities, so important to
other string theorists?
One reason is that these instabilities have been around in
string theory since the beginning. The very first string theory
that was discovered had these instabilities. And it’s important
to understand what they really mean. The fact that a potential
has a maximum, for instance, doesn’t mean it also has a minimum.
So the first question we need to ask in a system with a tachyon
is: does the potential have a minimum around which we can
quantize the theory? If so, then what kind of properties does
this quantum theory have? These are some of the questions one
tries to answer in the context of the tachyons that appear in
string theory.
More generally, what are you working on at the moment?
I have been trying to understand the relationship between
black-hole thermodynamics and string theory. That would give us
a better understanding of the structure of
black holes. Black
holes themselves are described as solutions of a theory of
gravity. Because superstring theory is a consistent quantum
theory of gravity, we should be able to use it to understand
much more about black holes than we do at present.
The Large Hadron Collider at CERN is scheduled to go online in the
next year. What would you hope or expect to see from research on the
LHC?
The first thing I would want to see is the Higgs particle.
That would confirm, at least, that the standard model is
correct. Then it would be nice if supersymmetry would be found.
Of course, the best thing would be if something entirely new
appeared, something that surprises everyone.
Would any of these speak directly to the viability of string theory?
They could. Ultimately, if we’re going to make progress, it’s
going to take some kind of mixture between the top-down approach
and the bottom-up. We need information from both ends. The LHC
will give us more leads from the bottom up.
Have any of the developments in string theory brought us any closer
to reality—the universe as we know it—than was the case in 1984?
Possibly. This landscape idea, for example, wouldn’t really
give us a satisfactory picture if it didn’t have all string
theories unified into one single theory. With the landscape,
it’s at least possible to conceive of a universe in which all
possible vacuua are realized in one single universe. You can
have different parts of the universe in different vacuua, and
one of those vacuua could be the universe we live in. This
concept alone would not have been possible if all string
theories had not been unified into one.
One of the criticisms of string theory is that it makes no testable
predictions and so is impossible to refute. This makes it
questionable as a scientific endeavor. Is it possible to refute the
hypothesis?
The point, of course, is that string theory does have a
definite prediction: if you go to the Planck energy, you’ll
start seeing strings. The problem is that, with currently
available technology, we don’t know how to get to the Planck
energy. So what we have to do is see if we can come up with
other predictions of the theory that can be testable directly.
Perhaps some special type of vacuum will be testable where
string theory comes down to the TeV scale. There are some models
in which that happens, and if our universe happens to be in one
of these, then we might be able to test it, even with the LHC.
So if we’re lucky, then we can discover that the theory is true, but
we can’t refute it if we’re not.
Unless we can figure out a way to get to the Planck energy.
Otherwise we have to get lucky. And the Planck energy is not
something we can achieve in the foreseeable future unless there
is a major technological breakthrough.
Okay, so if the theory was simply wrong, how might we ever
know?
One way that would happen, obviously, is if somebody else
finds a theory that does better at describing particle physics,
the universe we live in. Right now, string theory is the only
consistent framework we have that incorporates gravity and all
the fundamental interactions. With the landscape, at least we
have a viable picture of the universe. Another way it could turn
out to be wrong is if suddenly there should be some unexpected
experimental phenomenon that would lead us to a different
concept or which could not be explained by string theory.
Although what such a development might be, I wouldn’t know.
Certainly not now.
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