## Scale invariance of the Î·-deformed AdS<inf>5</inf>Ã-S5 superstring, T-duality and modified type II equations

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**Citation: **

*Arutyunov G, Frolov S, Hoare B, Roiban R, Tseytlin A.A, Scale invariance of the Î·-deformed AdS<inf>5</inf>Ã-S5 superstring, T-duality and modified type II equations, Nuclear Physics B, 903, 2016, 262 - 303*

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**Abstract: **

We
consider
the
ABF
background
underlying
the
η
-deformed
AdS
5
×
S
5
sigma
model.
This
back-
ground
fails
to
satisfy
the
standard
IIB
supergravity
equations
which
indicates
that
the
corresponding
sigma
model
is
not
Wey l
invariant,
i.e.
does
not
define
a
critical
string
theory
in
the
usual
sense.
We
argue
that
the
ABF
background
should
still
define
a
UV
finite
theory
on
a
flat
2d
world-sheet
implying
that
the
η
-deformed
model
is
scale
invariant.
This
property
follows
from
the
formal
relation
via
T-duality
between
the
η
-deformed
model
and
the
one
defined
by
an
exact
type IIB
supergravity
solution
that
has
6
isometries
albeit
broken
by
a
linear
dilaton.
We
find
that
the
ABF
background
satisfies
candidate
type IIB
scale
in-
variance
conditions
which
for
the
R–R
field
strengths
are
of
the
second
order
in
derivatives.
Surprisingly,
we
also
find
that
the
ABF
background
obeys
an
interesting
modification
of
the
standard
IIB
supergravity
equations
that
are
first
order
in
derivatives
of
R–R
fields.
These
modified
equations
explicitly
depend
on
Killing
vectors
of
the
ABF
background
and,
although
not
universal,
they
imply
the
universal
scale
invari-
ance
conditions.

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**Author's Homepage: **

http://people.tcd.ie/frolovs
**Author:**FROLOV, SERGEY

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**Type of material: **

Journal Article#####
**Series/Report no: **

Nuclear Physics B903

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**Availability: **

Full text available#####
**Keywords: **

ABF background
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**DOI: **

http://dx.doi.org/10.1016/j.nuclphysb.2015.12.012
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