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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
57039 SU2adj1nf2 ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ 0.716 0.9276 0.7718 [M:[1.0558, 0.7211, 0.8326, 1.1674, 0.8326, 0.6694, 0.6953], q:[0.515, 0.4292], qb:[0.7639, 0.4034], phi:[0.4721]] [M:[[4], [-20], [-12], [12], [-12], [48], [14]], q:[[19], [-23]], qb:[[1], [11]], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
${}M_{6}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ ${}M_{2}\phi_{1}\tilde{q}_{2}^{2}$ -1 t^2.008 + t^2.086 + t^2.163 + 2*t^2.498 + t^2.755 + t^2.833 + t^3.167 + t^3.58 + t^3.837 + t^4.017 + t^4.094 + 3*t^4.172 + 2*t^4.249 + t^4.326 + 3*t^4.506 + 2*t^4.584 + 2*t^4.661 + t^4.763 + 2*t^4.841 + 2*t^4.918 + 4*t^4.996 + t^5.176 + 3*t^5.253 + 3*t^5.331 + t^5.51 + 2*t^5.588 + 3*t^5.665 + t^5.845 + t^5.923 - t^6. + t^6.025 + t^6.077 + t^6.102 + 3*t^6.18 + 3*t^6.257 + 5*t^6.335 + 2*t^6.412 + t^6.49 + 3*t^6.515 + 4*t^6.592 + 6*t^6.669 + 3*t^6.747 + t^6.772 + 2*t^6.824 + 2*t^6.849 + 4*t^6.927 + 8*t^7.004 + 3*t^7.082 + 3*t^7.159 + t^7.184 + 4*t^7.261 + 6*t^7.339 + 3*t^7.416 + 5*t^7.494 + t^7.519 + 3*t^7.596 + 4*t^7.674 + 5*t^7.751 + 4*t^7.828 + t^7.853 + t^7.931 + 2*t^8.008 + t^8.033 + t^8.086 + t^8.111 + t^8.163 + 3*t^8.188 - t^8.241 + 4*t^8.266 + 8*t^8.343 + 4*t^8.42 + 3*t^8.523 + 2*t^8.575 + 4*t^8.6 + t^8.653 + 9*t^8.678 + 4*t^8.755 + t^8.78 + 4*t^8.833 + 2*t^8.858 + 2*t^8.91 + 4*t^8.935 + 2*t^8.988 - t^4.416/y - t^6.425/y - t^6.502/y - t^6.58/y - t^6.914/y + t^7.094/y + t^7.172/y + t^7.249/y + (2*t^7.506)/y + (2*t^7.584)/y + (2*t^7.661)/y + t^7.763/y + (2*t^7.841)/y + (3*t^7.918)/y + (2*t^7.996)/y + t^8.176/y + (4*t^8.253)/y + (4*t^8.331)/y + t^8.408/y - t^8.433/y - t^8.51/y + (2*t^8.665)/y + t^8.845/y + t^8.923/y - t^4.416*y - t^6.425*y - t^6.502*y - t^6.58*y - t^6.914*y + t^7.094*y + t^7.172*y + t^7.249*y + 2*t^7.506*y + 2*t^7.584*y + 2*t^7.661*y + t^7.763*y + 2*t^7.841*y + 3*t^7.918*y + 2*t^7.996*y + t^8.176*y + 4*t^8.253*y + 4*t^8.331*y + t^8.408*y - t^8.433*y - t^8.51*y + 2*t^8.665*y + t^8.845*y + t^8.923*y g1^48*t^2.008 + g1^14*t^2.086 + t^2.163/g1^20 + (2*t^2.498)/g1^12 + g1^30*t^2.755 + t^2.833/g1^4 + g1^4*t^3.167 + t^3.58/g1^22 + g1^20*t^3.837 + g1^96*t^4.017 + g1^62*t^4.094 + 3*g1^28*t^4.172 + (2*t^4.249)/g1^6 + t^4.326/g1^40 + 3*g1^36*t^4.506 + 2*g1^2*t^4.584 + (2*t^4.661)/g1^32 + g1^78*t^4.763 + 2*g1^44*t^4.841 + 2*g1^10*t^4.918 + (4*t^4.996)/g1^24 + g1^52*t^5.176 + 3*g1^18*t^5.253 + (3*t^5.331)/g1^16 + g1^60*t^5.51 + 2*g1^26*t^5.588 + (3*t^5.665)/g1^8 + g1^68*t^5.845 + g1^34*t^5.923 - t^6. + g1^144*t^6.025 + t^6.077/g1^34 + g1^110*t^6.102 + 3*g1^76*t^6.18 + 3*g1^42*t^6.257 + 5*g1^8*t^6.335 + (2*t^6.412)/g1^26 + t^6.49/g1^60 + 3*g1^84*t^6.515 + 4*g1^50*t^6.592 + 6*g1^16*t^6.669 + (3*t^6.747)/g1^18 + g1^126*t^6.772 + (2*t^6.824)/g1^52 + 2*g1^92*t^6.849 + 4*g1^58*t^6.927 + 8*g1^24*t^7.004 + (3*t^7.082)/g1^10 + (3*t^7.159)/g1^44 + g1^100*t^7.184 + 4*g1^66*t^7.261 + 6*g1^32*t^7.339 + (3*t^7.416)/g1^2 + (5*t^7.494)/g1^36 + g1^108*t^7.519 + 3*g1^74*t^7.596 + 4*g1^40*t^7.674 + 5*g1^6*t^7.751 + (4*t^7.828)/g1^28 + g1^116*t^7.853 + g1^82*t^7.931 + 2*g1^48*t^8.008 + g1^192*t^8.033 + g1^14*t^8.086 + g1^158*t^8.111 + t^8.163/g1^20 + 3*g1^124*t^8.188 - t^8.241/g1^54 + 4*g1^90*t^8.266 + 8*g1^56*t^8.343 + 4*g1^22*t^8.42 + 3*g1^132*t^8.523 + (2*t^8.575)/g1^46 + 4*g1^98*t^8.6 + t^8.653/g1^80 + 9*g1^64*t^8.678 + 4*g1^30*t^8.755 + g1^174*t^8.78 + (4*t^8.833)/g1^4 + 2*g1^140*t^8.858 + (2*t^8.91)/g1^38 + 4*g1^106*t^8.935 + (2*t^8.988)/g1^72 - t^4.416/(g1^2*y) - (g1^46*t^6.425)/y - (g1^12*t^6.502)/y - t^6.58/(g1^22*y) - t^6.914/(g1^14*y) + (g1^62*t^7.094)/y + (g1^28*t^7.172)/y + t^7.249/(g1^6*y) + (2*g1^36*t^7.506)/y + (2*g1^2*t^7.584)/y + (2*t^7.661)/(g1^32*y) + (g1^78*t^7.763)/y + (2*g1^44*t^7.841)/y + (3*g1^10*t^7.918)/y + (2*t^7.996)/(g1^24*y) + (g1^52*t^8.176)/y + (4*g1^18*t^8.253)/y + (4*t^8.331)/(g1^16*y) + t^8.408/(g1^50*y) - (g1^94*t^8.433)/y - (g1^60*t^8.51)/y + (2*t^8.665)/(g1^8*y) + (g1^68*t^8.845)/y + (g1^34*t^8.923)/y - (t^4.416*y)/g1^2 - g1^46*t^6.425*y - g1^12*t^6.502*y - (t^6.58*y)/g1^22 - (t^6.914*y)/g1^14 + g1^62*t^7.094*y + g1^28*t^7.172*y + (t^7.249*y)/g1^6 + 2*g1^36*t^7.506*y + 2*g1^2*t^7.584*y + (2*t^7.661*y)/g1^32 + g1^78*t^7.763*y + 2*g1^44*t^7.841*y + 3*g1^10*t^7.918*y + (2*t^7.996*y)/g1^24 + g1^52*t^8.176*y + 4*g1^18*t^8.253*y + (4*t^8.331*y)/g1^16 + (t^8.408*y)/g1^50 - g1^94*t^8.433*y - g1^60*t^8.51*y + (2*t^8.665*y)/g1^8 + g1^68*t^8.845*y + g1^34*t^8.923*y


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
58832 ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}X_{1}$ 0.5839 0.743 0.7859 [X:[1.4545], M:[1.0909, 0.5455, 0.7273, 1.2727, 0.7273, 1.0909, 0.8182], q:[0.6818, 0.2273], qb:[0.7727, 0.5], phi:[0.4545]] 2*t^2.182 + t^2.455 + t^2.727 + t^3. + 2*t^3.273 + t^3.545 + t^4.091 + 5*t^4.364 + t^4.636 + 4*t^4.909 + 2*t^5.182 + 6*t^5.455 + 4*t^5.727 - t^6. - t^4.364/y - t^4.364*y detail {a: 12435/21296, c: 15823/21296, X1: 16/11, M1: 12/11, M2: 6/11, M3: 8/11, M4: 14/11, M5: 8/11, M6: 12/11, M7: 9/11, q1: 15/22, q2: 5/22, qb1: 17/22, qb2: 1/2, phi1: 5/11}
58915 ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ 0.7361 0.9649 0.7628 [M:[1.0564, 0.718, 0.8308, 1.1692, 0.8308, 0.6768, 0.6974, 0.718], q:[0.5179, 0.4257], qb:[0.7641, 0.4051], phi:[0.4718]] t^2.03 + t^2.092 + 2*t^2.154 + 2*t^2.492 + t^2.769 + t^2.831 + t^3.169 + t^3.569 + t^4.061 + t^4.123 + 4*t^4.184 + 3*t^4.246 + 3*t^4.308 + 3*t^4.523 + 2*t^4.585 + 4*t^4.646 + t^4.799 + 2*t^4.861 + 3*t^4.923 + 5*t^4.985 + t^5.2 + 3*t^5.261 + 4*t^5.323 + t^5.538 + 2*t^5.6 + 3*t^5.662 + t^5.723 - 2*t^6. - t^4.415/y - t^4.415*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
55485 SU2adj1nf2 ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ 0.6954 0.8879 0.7832 [M:[1.056, 0.7198, 0.8319, 1.1681, 0.8319, 0.6725], q:[0.5162, 0.4278], qb:[0.764, 0.4041], phi:[0.472]] t^2.017 + t^2.159 + 2*t^2.496 + t^2.761 + t^2.832 + t^3.168 + t^3.575 + t^3.841 + t^3.912 + t^4.035 + 2*t^4.177 + t^4.248 + t^4.319 + 3*t^4.513 + 2*t^4.655 + t^4.778 + t^4.849 + t^4.92 + 4*t^4.991 + t^5.186 + 2*t^5.257 + 3*t^5.328 + t^5.522 + 2*t^5.593 + 2*t^5.664 + t^5.858 + t^5.929 - t^6. - t^4.416/y - t^4.416*y detail