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$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =





Chosen Fixed Point

Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.

#TheorySuperpotentialCentral charge $a$Central charge $c$Ratio $a/c$Matter field: $R$-chargeU(1) part of $F_{UV}$Rank of $F_{UV}$Rational
55645 SU2adj1nf2 ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ 0.6741 0.8576 0.7861 [X:[1.6169], M:[0.3831, 0.6818, 1.1493, 0.8507, 0.724, 0.8507, 0.724], q:[0.8718, 0.7451], qb:[0.4464, 0.4042], phi:[0.3831]] [X:[[0, 1]], M:[[0, -1], [0, -7], [0, -3], [0, 3], [-2, -4], [0, 3], [2, -5]], q:[[1, 4], [-1, -3]], qb:[[-1, 3], [1, 0]], phi:[[0, -1]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
${}M_{2}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ -2 t^2.045 + 2*t^2.172 + t^2.299 + 2*t^2.552 + 2*t^3.575 + t^3.701 + t^4.091 + 2*t^4.217 + 4*t^4.344 + 2*t^4.471 + 3*t^4.597 + 4*t^4.724 + 3*t^4.851 + 3*t^5.104 + 2*t^5.62 + 4*t^5.747 + 2*t^5.873 - 2*t^6. + 2*t^6.127 + t^6.136 + t^6.253 + 2*t^6.263 + 4*t^6.389 + 6*t^6.516 + 6*t^6.643 + 6*t^6.769 + 9*t^6.896 + 4*t^7.023 + 6*t^7.149 + 4*t^7.276 + 2*t^7.403 - 2*t^7.529 + 3*t^7.656 + 2*t^7.665 + 4*t^7.792 + 6*t^7.919 - 2*t^8.172 + t^8.181 + t^8.299 + 2*t^8.308 + 4*t^8.435 - 6*t^8.552 + 6*t^8.561 + 11*t^8.688 + 10*t^8.815 + 12*t^8.941 - t^4.149/y - t^6.195/y - (2*t^6.321)/y - t^6.448/y - t^6.701/y + (2*t^7.217)/y + (2*t^7.344)/y + (2*t^7.471)/y + (3*t^7.597)/y + (4*t^7.724)/y + (3*t^7.851)/y + (2*t^7.977)/y + (2*t^8.104)/y - t^8.24/y - (2*t^8.367)/y - (4*t^8.493)/y + (3*t^8.747)/y + (2*t^8.873)/y - t^4.149*y - t^6.195*y - 2*t^6.321*y - t^6.448*y - t^6.701*y + 2*t^7.217*y + 2*t^7.344*y + 2*t^7.471*y + 3*t^7.597*y + 4*t^7.724*y + 3*t^7.851*y + 2*t^7.977*y + 2*t^8.104*y - t^8.24*y - 2*t^8.367*y - 4*t^8.493*y + 3*t^8.747*y + 2*t^8.873*y t^2.045/g2^7 + (g1^2*t^2.172)/g2^5 + t^2.172/(g1^2*g2^4) + t^2.299/g2^2 + 2*g2^3*t^2.552 + t^3.575/g1^2 + (g1^2*t^3.575)/g2 + g2^2*t^3.701 + t^4.091/g2^14 + (g1^2*t^4.217)/g2^12 + t^4.217/(g1^2*g2^11) + (g1^4*t^4.344)/g2^10 + (2*t^4.344)/g2^9 + t^4.344/(g1^4*g2^8) + (g1^2*t^4.471)/g2^7 + t^4.471/(g1^2*g2^6) + (3*t^4.597)/g2^4 + (2*g1^2*t^4.724)/g2^2 + (2*t^4.724)/(g1^2*g2) + 3*g2*t^4.851 + 3*g2^6*t^5.104 + (g1^2*t^5.62)/g2^8 + t^5.62/(g1^2*g2^7) + (g1^4*t^5.747)/g2^6 + (2*t^5.747)/g2^5 + t^5.747/(g1^4*g2^4) + (g1^2*t^5.873)/g2^3 + t^5.873/(g1^2*g2^2) - 2*t^6. + g1^2*g2^2*t^6.127 + (g2^3*t^6.127)/g1^2 + t^6.136/g2^21 + g2^5*t^6.253 + (g1^2*t^6.263)/g2^19 + t^6.263/(g1^2*g2^18) + (g1^4*t^6.389)/g2^17 + (2*t^6.389)/g2^16 + t^6.389/(g1^4*g2^15) + (g1^6*t^6.516)/g2^15 + (2*g1^2*t^6.516)/g2^14 + (2*t^6.516)/(g1^2*g2^13) + t^6.516/(g1^6*g2^12) + (g1^4*t^6.643)/g2^12 + (4*t^6.643)/g2^11 + t^6.643/(g1^4*g2^10) + (3*g1^2*t^6.769)/g2^9 + (3*t^6.769)/(g1^2*g2^8) + (2*g1^4*t^6.896)/g2^7 + (5*t^6.896)/g2^6 + (2*t^6.896)/(g1^4*g2^5) + (2*g1^2*t^7.023)/g2^4 + (2*t^7.023)/(g1^2*g2^3) + t^7.149/g1^4 + (g1^4*t^7.149)/g2^2 + (4*t^7.149)/g2 + 2*g1^2*g2*t^7.276 + (2*g2^2*t^7.276)/g1^2 + 2*g2^4*t^7.403 - g1^2*g2^6*t^7.529 - (g2^7*t^7.529)/g1^2 + 3*g2^9*t^7.656 + (g1^2*t^7.665)/g2^15 + t^7.665/(g1^2*g2^14) + (g1^4*t^7.792)/g2^13 + (2*t^7.792)/g2^12 + t^7.792/(g1^4*g2^11) + (g1^6*t^7.919)/g2^11 + (2*g1^2*t^7.919)/g2^10 + (2*t^7.919)/(g1^2*g2^9) + t^7.919/(g1^6*g2^8) + (g1^4*t^8.045)/g2^8 - (2*t^8.045)/g2^7 + t^8.045/(g1^4*g2^6) - (g1^2*t^8.172)/g2^5 - t^8.172/(g1^2*g2^4) + t^8.181/g2^28 + (g1^4*t^8.299)/g2^3 - t^8.299/g2^2 + t^8.299/(g1^4*g2) + (g1^2*t^8.308)/g2^26 + t^8.308/(g1^2*g2^25) + (g1^4*t^8.435)/g2^24 + (2*t^8.435)/g2^23 + t^8.435/(g1^4*g2^22) - 6*g2^3*t^8.552 + (g1^6*t^8.561)/g2^22 + (2*g1^2*t^8.561)/g2^21 + (2*t^8.561)/(g1^2*g2^20) + t^8.561/(g1^6*g2^19) + (g1^8*t^8.688)/g2^20 + (2*g1^4*t^8.688)/g2^19 + (5*t^8.688)/g2^18 + (2*t^8.688)/(g1^4*g2^17) + t^8.688/(g1^8*g2^16) + (g1^6*t^8.815)/g2^17 + (4*g1^2*t^8.815)/g2^16 + (4*t^8.815)/(g1^2*g2^15) + t^8.815/(g1^6*g2^14) + (3*g1^4*t^8.941)/g2^14 + (6*t^8.941)/g2^13 + (3*t^8.941)/(g1^4*g2^12) - t^4.149/(g2*y) - t^6.195/(g2^8*y) - (g1^2*t^6.321)/(g2^6*y) - t^6.321/(g1^2*g2^5*y) - t^6.448/(g2^3*y) - (g2^2*t^6.701)/y + (g1^2*t^7.217)/(g2^12*y) + t^7.217/(g1^2*g2^11*y) + (2*t^7.344)/(g2^9*y) + (g1^2*t^7.471)/(g2^7*y) + t^7.471/(g1^2*g2^6*y) + (3*t^7.597)/(g2^4*y) + (2*g1^2*t^7.724)/(g2^2*y) + (2*t^7.724)/(g1^2*g2*y) + (3*g2*t^7.851)/y + (g1^2*g2^3*t^7.977)/y + (g2^4*t^7.977)/(g1^2*y) + (2*g2^6*t^8.104)/y - t^8.24/(g2^15*y) - (g1^2*t^8.367)/(g2^13*y) - t^8.367/(g1^2*g2^12*y) - (g1^4*t^8.493)/(g2^11*y) - (2*t^8.493)/(g2^10*y) - t^8.493/(g1^4*g2^9*y) + (g1^4*t^8.747)/(g2^6*y) + t^8.747/(g2^5*y) + t^8.747/(g1^4*g2^4*y) + (g1^2*t^8.873)/(g2^3*y) + t^8.873/(g1^2*g2^2*y) - (t^4.149*y)/g2 - (t^6.195*y)/g2^8 - (g1^2*t^6.321*y)/g2^6 - (t^6.321*y)/(g1^2*g2^5) - (t^6.448*y)/g2^3 - g2^2*t^6.701*y + (g1^2*t^7.217*y)/g2^12 + (t^7.217*y)/(g1^2*g2^11) + (2*t^7.344*y)/g2^9 + (g1^2*t^7.471*y)/g2^7 + (t^7.471*y)/(g1^2*g2^6) + (3*t^7.597*y)/g2^4 + (2*g1^2*t^7.724*y)/g2^2 + (2*t^7.724*y)/(g1^2*g2) + 3*g2*t^7.851*y + g1^2*g2^3*t^7.977*y + (g2^4*t^7.977*y)/g1^2 + 2*g2^6*t^8.104*y - (t^8.24*y)/g2^15 - (g1^2*t^8.367*y)/g2^13 - (t^8.367*y)/(g1^2*g2^12) - (g1^4*t^8.493*y)/g2^11 - (2*t^8.493*y)/g2^10 - (t^8.493*y)/(g1^4*g2^9) + (g1^4*t^8.747*y)/g2^6 + (t^8.747*y)/g2^5 + (t^8.747*y)/(g1^4*g2^4) + (g1^2*t^8.873*y)/g2^3 + (t^8.873*y)/(g1^2*g2^2)


Deformation

Here is the data for the deformed fixed points from the chosen fixed point.

#SuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational
57534 ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}^{2}$ 0.6559 0.8243 0.7957 [X:[1.6157], M:[0.3843, 0.6901, 1.1529, 0.8471, 0.7294, 0.8471, 0.7294, 1.2314], q:[0.8667, 0.749], qb:[0.4432, 0.4039], phi:[0.3843]] t^2.07 + 2*t^2.188 + 2*t^2.541 + 2*t^3.576 + 2*t^3.694 + t^4.141 + 2*t^4.259 + 3*t^4.376 + 2*t^4.612 + 4*t^4.729 + t^4.847 + 3*t^5.082 + 2*t^5.647 + 5*t^5.765 + 2*t^5.882 - 3*t^6. - t^4.153/y - t^4.153*y detail


Equivalent Fixed Points from Other Seed Theories

Here is a list of equivalent fixed points from other gauge theories.

#TheorySuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational


Equivalent Fixed Points from the Same Seed Theory

Below is a list of equivalent fixed points from the same seed theories.

id Theory Superpotential Central Charge $a$ Central Charge $c$ Ratio $a/c$ $R$-charges More Info. Rational


Previous Theory

The previous fixed point before deforming to get the chosen fixed point.

#TheorySuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational
47265 SU2adj1nf2 ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ 0.6546 0.8215 0.7969 [X:[1.6145], M:[0.3855, 0.6986, 1.1566, 0.8434, 0.7153, 0.8434], q:[0.8713, 0.7432], qb:[0.4301, 0.4134], phi:[0.3855]] t^2.096 + t^2.146 + t^2.313 + 2*t^2.53 + t^3.52 + t^3.637 + t^3.687 + t^3.737 + t^4.192 + t^4.242 + t^4.292 + t^4.409 + t^4.459 + 3*t^4.626 + 2*t^4.676 + 3*t^4.843 + 3*t^5.061 + t^5.616 + t^5.666 + t^5.733 + t^5.783 + 2*t^5.833 + t^5.883 - 2*t^6. - t^4.157/y - t^4.157*y detail