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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
55693 SU2adj1nf3 ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{2}q_{3}$ + ${ }M_{1}q_{1}q_{3}$ 0.8641 1.0551 0.819 [M:[0.6799], q:[0.7264, 0.7264, 0.5936], qb:[0.5883, 0.5883, 0.5883], phi:[0.5471]] [M:[[-7, -1, -1, -1]], q:[[1, 1, 1, 1], [1, 1, 1, 1], [6, 0, 0, 0]], qb:[[0, 6, 0, 0], [0, 0, 6, 0], [0, 0, 0, 6]], phi:[[-2, -2, -2, -2]]] 4
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{3}$, ${ }\tilde{q}_{2}\tilde{q}_{3}$, ${ }q_{3}\tilde{q}_{1}$, ${ }q_{3}\tilde{q}_{2}$, ${ }q_{3}\tilde{q}_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{3}$, ${ }q_{2}\tilde{q}_{3}$, ${ }q_{1}q_{3}$, ${ }M_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{3}$, ${ }\phi_{1}\tilde{q}_{2}\tilde{q}_{3}$, ${ }\phi_{1}\tilde{q}_{3}^{2}$, ${ }\phi_{1}q_{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{3}\tilde{q}_{3}$, ${ }\phi_{1}q_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{3}$, ${ }M_{1}\tilde{q}_{2}\tilde{q}_{3}$, ${ }M_{1}q_{3}\tilde{q}_{1}$, ${ }M_{1}q_{3}\tilde{q}_{2}$, ${ }M_{1}q_{3}\tilde{q}_{3}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{3}$ ${}$ -10 t^2.04 + t^3.283 + 3*t^3.53 + 3*t^3.546 + 6*t^3.944 + t^3.96 + t^4.08 + t^4.359 + 6*t^5.171 + 3*t^5.187 + t^5.203 + t^5.323 + 3*t^5.57 + 3*t^5.586 + 3*t^5.984 - 10*t^6. - 3*t^6.016 + t^6.119 - t^6.398 - 6*t^6.414 + t^6.566 + 3*t^6.813 + 3*t^6.829 + 6*t^7.06 + 8*t^7.076 + 6*t^7.092 + 6*t^7.211 + 3*t^7.227 + t^7.362 + 16*t^7.474 + 15*t^7.49 + 3*t^7.506 + 3*t^7.61 - 9*t^7.641 - 3*t^7.657 + 15*t^7.889 + 3*t^7.904 + 3*t^8.024 - 10*t^8.04 - 3*t^8.056 + t^8.159 - t^8.319 + 3*t^8.454 + 9*t^8.47 + t^8.486 + t^8.605 + 15*t^8.701 + 16*t^8.717 + 9*t^8.733 + 3*t^8.749 + 3*t^8.853 + 3*t^8.868 - t^4.641/y - t^6.681/y + t^7.359/y - t^7.924/y + t^8.323/y + (3*t^8.57)/y + (3*t^8.586)/y + t^8.602/y - t^8.721/y + (6*t^8.984)/y - t^4.641*y - t^6.681*y + t^7.359*y - t^7.924*y + t^8.323*y + 3*t^8.57*y + 3*t^8.586*y + t^8.602*y - t^8.721*y + 6*t^8.984*y t^2.04/(g1^7*g2*g3*g4) + t^3.283/(g1^4*g2^4*g3^4*g4^4) + g2^6*g3^6*t^3.53 + g2^6*g4^6*t^3.53 + g3^6*g4^6*t^3.53 + g1^6*g2^6*t^3.546 + g1^6*g3^6*t^3.546 + g1^6*g4^6*t^3.546 + 2*g1*g2^7*g3*g4*t^3.944 + 2*g1*g2*g3^7*g4*t^3.944 + 2*g1*g2*g3*g4^7*t^3.944 + g1^7*g2*g3*g4*t^3.96 + t^4.08/(g1^14*g2^2*g3^2*g4^2) + g1^2*g2^2*g3^2*g4^2*t^4.359 + (g2^10*t^5.171)/(g1^2*g3^2*g4^2) + (g2^4*g3^4*t^5.171)/(g1^2*g4^2) + (g3^10*t^5.171)/(g1^2*g2^2*g4^2) + (g2^4*g4^4*t^5.171)/(g1^2*g3^2) + (g3^4*g4^4*t^5.171)/(g1^2*g2^2) + (g4^10*t^5.171)/(g1^2*g2^2*g3^2) + (g1^4*g2^4*t^5.187)/(g3^2*g4^2) + (g1^4*g3^4*t^5.187)/(g2^2*g4^2) + (g1^4*g4^4*t^5.187)/(g2^2*g3^2) + (g1^10*t^5.203)/(g2^2*g3^2*g4^2) + t^5.323/(g1^11*g2^5*g3^5*g4^5) + (g2^5*g3^5*t^5.57)/(g1^7*g4) + (g2^5*g4^5*t^5.57)/(g1^7*g3) + (g3^5*g4^5*t^5.57)/(g1^7*g2) + (g2^5*t^5.586)/(g1*g3*g4) + (g3^5*t^5.586)/(g1*g2*g4) + (g4^5*t^5.586)/(g1*g2*g3) + (g2^6*t^5.984)/g1^6 + (g3^6*t^5.984)/g1^6 + (g4^6*t^5.984)/g1^6 - 4*t^6. - (g2^6*t^6.)/g3^6 - (g3^6*t^6.)/g2^6 - (g2^6*t^6.)/g4^6 - (g3^6*t^6.)/g4^6 - (g4^6*t^6.)/g2^6 - (g4^6*t^6.)/g3^6 - (g1^6*t^6.016)/g2^6 - (g1^6*t^6.016)/g3^6 - (g1^6*t^6.016)/g4^6 + t^6.119/(g1^21*g2^3*g3^3*g4^3) - (g2*g3*g4*t^6.398)/g1^5 - (2*g1*g2*g3*t^6.414)/g4^5 - (2*g1*g2*g4*t^6.414)/g3^5 - (2*g1*g3*g4*t^6.414)/g2^5 + t^6.566/(g1^8*g2^8*g3^8*g4^8) + (g2^2*g3^2*t^6.813)/(g1^4*g4^4) + (g2^2*g4^2*t^6.813)/(g1^4*g3^4) + (g3^2*g4^2*t^6.813)/(g1^4*g2^4) + (g1^2*g2^2*t^6.829)/(g3^4*g4^4) + (g1^2*g3^2*t^6.829)/(g2^4*g4^4) + (g1^2*g4^2*t^6.829)/(g2^4*g3^4) + g2^12*g3^12*t^7.06 + g2^12*g3^6*g4^6*t^7.06 + g2^6*g3^12*g4^6*t^7.06 + g2^12*g4^12*t^7.06 + g2^6*g3^6*g4^12*t^7.06 + g3^12*g4^12*t^7.06 + g1^6*g2^12*g3^6*t^7.076 + g1^6*g2^6*g3^12*t^7.076 + g1^6*g2^12*g4^6*t^7.076 + 2*g1^6*g2^6*g3^6*g4^6*t^7.076 + g1^6*g3^12*g4^6*t^7.076 + g1^6*g2^6*g4^12*t^7.076 + g1^6*g3^6*g4^12*t^7.076 + g1^12*g2^12*t^7.092 + g1^12*g2^6*g3^6*t^7.092 + g1^12*g3^12*t^7.092 + g1^12*g2^6*g4^6*t^7.092 + g1^12*g3^6*g4^6*t^7.092 + g1^12*g4^12*t^7.092 + (g2^9*t^7.211)/(g1^9*g3^3*g4^3) + (g2^3*g3^3*t^7.211)/(g1^9*g4^3) + (g3^9*t^7.211)/(g1^9*g2^3*g4^3) + (g2^3*g4^3*t^7.211)/(g1^9*g3^3) + (g3^3*g4^3*t^7.211)/(g1^9*g2^3) + (g4^9*t^7.211)/(g1^9*g2^3*g3^3) + (g2^3*t^7.227)/(g1^3*g3^3*g4^3) + (g3^3*t^7.227)/(g1^3*g2^3*g4^3) + (g4^3*t^7.227)/(g1^3*g2^3*g3^3) + t^7.362/(g1^18*g2^6*g3^6*g4^6) + 2*g1*g2^13*g3^7*g4*t^7.474 + 2*g1*g2^7*g3^13*g4*t^7.474 + 2*g1*g2^13*g3*g4^7*t^7.474 + 4*g1*g2^7*g3^7*g4^7*t^7.474 + 2*g1*g2*g3^13*g4^7*t^7.474 + 2*g1*g2^7*g3*g4^13*t^7.474 + 2*g1*g2*g3^7*g4^13*t^7.474 + 2*g1^7*g2^13*g3*g4*t^7.49 + 3*g1^7*g2^7*g3^7*g4*t^7.49 + 2*g1^7*g2*g3^13*g4*t^7.49 + 3*g1^7*g2^7*g3*g4^7*t^7.49 + 3*g1^7*g2*g3^7*g4^7*t^7.49 + 2*g1^7*g2*g3*g4^13*t^7.49 + g1^13*g2^7*g3*g4*t^7.506 + g1^13*g2*g3^7*g4*t^7.506 + g1^13*g2*g3*g4^7*t^7.506 + (g2^4*g3^4*t^7.61)/(g1^14*g4^2) + (g2^4*g4^4*t^7.61)/(g1^14*g3^2) + (g3^4*g4^4*t^7.61)/(g1^14*g2^2) - (g2^4*t^7.641)/(g1^2*g3^2*g4^8) - (g3^4*t^7.641)/(g1^2*g2^2*g4^8) - (g2^4*t^7.641)/(g1^2*g3^8*g4^2) - (3*t^7.641)/(g1^2*g2^2*g3^2*g4^2) - (g3^4*t^7.641)/(g1^2*g2^8*g4^2) - (g4^4*t^7.641)/(g1^2*g2^2*g3^8) - (g4^4*t^7.641)/(g1^2*g2^8*g3^2) - (g1^4*t^7.657)/(g2^2*g3^2*g4^8) - (g1^4*t^7.657)/(g2^2*g3^8*g4^2) - (g1^4*t^7.657)/(g2^8*g3^2*g4^2) + 2*g1^2*g2^14*g3^2*g4^2*t^7.889 + 3*g1^2*g2^8*g3^8*g4^2*t^7.889 + 2*g1^2*g2^2*g3^14*g4^2*t^7.889 + 3*g1^2*g2^8*g3^2*g4^8*t^7.889 + 3*g1^2*g2^2*g3^8*g4^8*t^7.889 + 2*g1^2*g2^2*g3^2*g4^14*t^7.889 + g1^8*g2^8*g3^2*g4^2*t^7.904 + g1^8*g2^2*g3^8*g4^2*t^7.904 + g1^8*g2^2*g3^2*g4^8*t^7.904 + (g2^5*t^8.024)/(g1^13*g3*g4) + (g3^5*t^8.024)/(g1^13*g2*g4) + (g4^5*t^8.024)/(g1^13*g2*g3) - (g2^5*t^8.04)/(g1^7*g3*g4^7) - (g3^5*t^8.04)/(g1^7*g2*g4^7) - (g2^5*t^8.04)/(g1^7*g3^7*g4) - (4*t^8.04)/(g1^7*g2*g3*g4) - (g3^5*t^8.04)/(g1^7*g2^7*g4) - (g4^5*t^8.04)/(g1^7*g2*g3^7) - (g4^5*t^8.04)/(g1^7*g2^7*g3) - t^8.056/(g1*g2*g3*g4^7) - t^8.056/(g1*g2*g3^7*g4) - t^8.056/(g1*g2^7*g3*g4) + t^8.159/(g1^28*g2^4*g3^4*g4^4) - g1^9*g2^3*g3^3*g4^3*t^8.319 + (g2^6*t^8.454)/(g1^6*g3^6*g4^6) + (g3^6*t^8.454)/(g1^6*g2^6*g4^6) + (g4^6*t^8.454)/(g1^6*g2^6*g3^6) + t^8.47/g2^12 + t^8.47/g3^12 + (2*t^8.47)/(g2^6*g3^6) + t^8.47/g4^12 + (2*t^8.47)/(g2^6*g4^6) + (2*t^8.47)/(g3^6*g4^6) + (g1^6*t^8.486)/(g2^6*g3^6*g4^6) + t^8.605/(g1^15*g2^9*g3^9*g4^9) + (g2^16*g3^4*t^8.701)/(g1^2*g4^2) + (g2^10*g3^10*t^8.701)/(g1^2*g4^2) + (g2^4*g3^16*t^8.701)/(g1^2*g4^2) + (g2^16*g4^4*t^8.701)/(g1^2*g3^2) + (2*g2^10*g3^4*g4^4*t^8.701)/g1^2 + (2*g2^4*g3^10*g4^4*t^8.701)/g1^2 + (g3^16*g4^4*t^8.701)/(g1^2*g2^2) + (g2^10*g4^10*t^8.701)/(g1^2*g3^2) + (2*g2^4*g3^4*g4^10*t^8.701)/g1^2 + (g3^10*g4^10*t^8.701)/(g1^2*g2^2) + (g2^4*g4^16*t^8.701)/(g1^2*g3^2) + (g3^4*g4^16*t^8.701)/(g1^2*g2^2) + (g1^4*g2^16*t^8.717)/(g3^2*g4^2) + (2*g1^4*g2^10*g3^4*t^8.717)/g4^2 + (2*g1^4*g2^4*g3^10*t^8.717)/g4^2 + (g1^4*g3^16*t^8.717)/(g2^2*g4^2) + (2*g1^4*g2^10*g4^4*t^8.717)/g3^2 + g1^4*g2^4*g3^4*g4^4*t^8.717 + (2*g1^4*g3^10*g4^4*t^8.717)/g2^2 + (2*g1^4*g2^4*g4^10*t^8.717)/g3^2 + (2*g1^4*g3^4*g4^10*t^8.717)/g2^2 + (g1^4*g4^16*t^8.717)/(g2^2*g3^2) + (g1^10*g2^10*t^8.733)/(g3^2*g4^2) + (2*g1^10*g2^4*g3^4*t^8.733)/g4^2 + (g1^10*g3^10*t^8.733)/(g2^2*g4^2) + (2*g1^10*g2^4*g4^4*t^8.733)/g3^2 + (2*g1^10*g3^4*g4^4*t^8.733)/g2^2 + (g1^10*g4^10*t^8.733)/(g2^2*g3^2) + (g1^16*g2^4*t^8.749)/(g3^2*g4^2) + (g1^16*g3^4*t^8.749)/(g2^2*g4^2) + (g1^16*g4^4*t^8.749)/(g2^2*g3^2) + (g2*g3*t^8.853)/(g1^11*g4^5) + (g2*g4*t^8.853)/(g1^11*g3^5) + (g3*g4*t^8.853)/(g1^11*g2^5) + (g2*t^8.868)/(g1^5*g3^5*g4^5) + (g3*t^8.868)/(g1^5*g2^5*g4^5) + (g4*t^8.868)/(g1^5*g2^5*g3^5) - t^4.641/(g1^2*g2^2*g3^2*g4^2*y) - t^6.681/(g1^9*g2^3*g3^3*g4^3*y) + (g1^2*g2^2*g3^2*g4^2*t^7.359)/y - t^7.924/(g1^6*g2^6*g3^6*g4^6*y) + t^8.323/(g1^11*g2^5*g3^5*g4^5*y) + (g2^5*g3^5*t^8.57)/(g1^7*g4*y) + (g2^5*g4^5*t^8.57)/(g1^7*g3*y) + (g3^5*g4^5*t^8.57)/(g1^7*g2*y) + (g2^5*t^8.586)/(g1*g3*g4*y) + (g3^5*t^8.586)/(g1*g2*g4*y) + (g4^5*t^8.586)/(g1*g2*g3*y) + (g1^5*t^8.602)/(g2*g3*g4*y) - t^8.721/(g1^16*g2^4*g3^4*g4^4*y) + (2*g2^6*t^8.984)/(g1^6*y) + (2*g3^6*t^8.984)/(g1^6*y) + (2*g4^6*t^8.984)/(g1^6*y) - (t^4.641*y)/(g1^2*g2^2*g3^2*g4^2) - (t^6.681*y)/(g1^9*g2^3*g3^3*g4^3) + g1^2*g2^2*g3^2*g4^2*t^7.359*y - (t^7.924*y)/(g1^6*g2^6*g3^6*g4^6) + (t^8.323*y)/(g1^11*g2^5*g3^5*g4^5) + (g2^5*g3^5*t^8.57*y)/(g1^7*g4) + (g2^5*g4^5*t^8.57*y)/(g1^7*g3) + (g3^5*g4^5*t^8.57*y)/(g1^7*g2) + (g2^5*t^8.586*y)/(g1*g3*g4) + (g3^5*t^8.586*y)/(g1*g2*g4) + (g4^5*t^8.586*y)/(g1*g2*g3) + (g1^5*t^8.602*y)/(g2*g3*g4) - (t^8.721*y)/(g1^16*g2^4*g3^4*g4^4) + (2*g2^6*t^8.984*y)/g1^6 + (2*g3^6*t^8.984*y)/g1^6 + (2*g4^6*t^8.984*y)/g1^6


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


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
55455 SU2adj1nf3 ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{2}q_{3}$ 0.8641 1.0553 0.8188 [M:[0.6776], q:[0.723, 0.7296, 0.5928], qb:[0.5884, 0.5884, 0.5884], phi:[0.5474]] t^2.033 + t^3.284 + 3*t^3.53 + 3*t^3.543 + 3*t^3.934 + t^3.947 + 3*t^3.954 + t^4.066 + t^4.358 + 6*t^5.172 + 3*t^5.186 + t^5.199 + t^5.317 + 3*t^5.563 + 3*t^5.576 + 3*t^5.967 + t^5.98 - 11*t^6. - t^4.642/y - t^4.642*y detail