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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
46033 SU2adj1nf2 $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ 0.6567 0.843 0.7791 [X:[], M:[1.1525, 0.6728, 0.6949], q:[0.75, 0.4246], qb:[0.4025, 0.4228], phi:[0.5]] [X:[], M:[[1, 0], [0, 1], [-2, 0]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ M_3$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1M_2$, $ M_2q_1\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_2q_1q_2$, $ M_3q_1\tilde{q}_1$, $ M_2q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ M_3q_1q_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ q_1q_2\tilde{q}_1^2$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ $q_1q_2\tilde{q}_1\tilde{q}_2$ -1 t^2.02 + t^2.08 + 2*t^2.48 + t^3. + 2*t^3.46 + 2*t^3.52 + t^3.98 + 3*t^4.04 + t^4.05 + t^4.1 + t^4.17 + t^4.49 + t^4.5 + t^4.56 + t^4.57 + t^4.95 + 2*t^4.96 + t^5.02 + t^5.08 + 4*t^5.48 + 4*t^5.54 + t^5.6 + t^5.61 + t^5.93 + t^5.94 + t^5.99 - t^6. + 3*t^6.06 + 2*t^6.12 + 2*t^6.13 + t^6.19 + t^6.25 + t^6.45 + t^6.46 + 2*t^6.51 + 3*t^6.52 + t^6.53 + 2*t^6.58 + 2*t^6.65 + 2*t^6.92 + t^6.97 + 3*t^6.98 + 4*t^7.04 + 2*t^7.05 + t^7.1 + t^7.17 + 2*t^7.43 + 4*t^7.49 + 6*t^7.56 + 2*t^7.57 + t^7.62 + 3*t^7.63 + 2*t^7.69 + 2*t^7.95 + 2*t^8.01 - t^8.02 + 3*t^8.07 + 2*t^8.08 + t^8.09 + t^8.1 + 2*t^8.14 + t^8.15 + 3*t^8.21 + t^8.22 + t^8.27 + t^8.34 + t^8.41 + t^8.42 + t^8.47 - 3*t^8.48 + 2*t^8.53 + 2*t^8.54 + 4*t^8.6 + 2*t^8.61 + t^8.66 + t^8.67 + t^8.73 + t^8.74 + 3*t^8.93 + 4*t^8.99 - t^4.5/y - t^6.52/y - t^6.58/y + t^7.04/y + t^7.1/y + t^7.49/y + t^7.5/y + t^7.56/y + t^7.57/y + t^8.02/y + t^8.08/y + t^8.42/y + (5*t^8.48)/y + (3*t^8.54)/y + t^8.61/y - t^8.67/y + (2*t^8.93)/y + (2*t^8.94)/y + (2*t^8.99)/y - t^4.5*y - t^6.52*y - t^6.58*y + t^7.04*y + t^7.1*y + t^7.49*y + t^7.5*y + t^7.56*y + t^7.57*y + t^8.02*y + t^8.08*y + t^8.42*y + 5*t^8.48*y + 3*t^8.54*y + t^8.61*y - t^8.67*y + 2*t^8.93*y + 2*t^8.94*y + 2*t^8.99*y g2*t^2.02 + t^2.08/g1^2 + t^2.48/g2 + g1*g2*t^2.48 + t^3. + 2*g1*t^3.46 + t^3.52/(g1*g2) + g2*t^3.52 + g1*g2*t^3.98 + t^4.04/g1 + 2*g2^2*t^4.04 + t^4.05/(g1^2*g2^2) + (g2*t^4.1)/g1^2 + t^4.17/g1^4 + g1*g2^2*t^4.49 + t^4.5 + (g2*t^4.56)/g1 + t^4.57/(g1^2*g2) + g1^2*g2^2*t^4.95 + g1*t^4.96 + t^4.96/g2^2 + g2*t^5.02 + t^5.08/g1^2 + t^5.48/g2 + 3*g1*g2*t^5.48 + (3*t^5.54)/g1 + g2^2*t^5.54 + (g2*t^5.6)/g1^2 + t^5.61/(g1^3*g2) + g1^2*g2*t^5.93 + (g1*t^5.94)/g2 + g1*g2^2*t^5.99 - t^6. + (g2*t^6.06)/g1 + 2*g2^3*t^6.06 + (2*g2^2*t^6.12)/g1^2 + t^6.13/g1^3 + t^6.13/(g1^4*g2^2) + (g2*t^6.19)/g1^4 + t^6.25/g1^6 + g1^2*g2^2*t^6.45 + g1*t^6.46 + 2*g1*g2^3*t^6.51 + t^6.52/(g1*g2) + 2*g2*t^6.52 + t^6.53/(g1^2*g2^3) + t^6.58/g1^2 + (g2^2*t^6.58)/g1 + t^6.65/(g1^4*g2) + (g2*t^6.65)/g1^3 + 2*g1^2*t^6.92 + g1^2*g2^3*t^6.97 + t^6.98/g2 + 2*g1*g2*t^6.98 + t^7.04/g1 + 3*g2^2*t^7.04 + (2*t^7.05)/(g1^2*g2^2) + (g2*t^7.1)/g1^2 + t^7.17/g1^4 + g1^2*g2*t^7.43 + g1^3*g2^3*t^7.43 + t^7.44/g2^3 - (g1*t^7.44)/g2 + 4*g1*g2^2*t^7.49 + (4*g2*t^7.56)/g1 + 2*g2^3*t^7.56 + t^7.57/(g1^3*g2^3) + t^7.57/(g1^2*g2) + (g2^2*t^7.62)/g1^2 + (3*t^7.63)/g1^3 + t^7.69/(g1^5*g2) + (g2*t^7.69)/g1^4 + 2*g1^2*g2^2*t^7.95 + 2*g1*g2^3*t^8.01 - g2*t^8.02 + 3*g2^4*t^8.07 + (2*g2^2*t^8.08)/g1 + t^8.09/(g1^3*g2^2) + t^8.1/(g1^4*g2^4) + (2*g2^3*t^8.14)/g1^2 + (g2*t^8.15)/g1^3 + t^8.21/g1^5 + (2*g2^2*t^8.21)/g1^4 + t^8.22/(g1^6*g2^2) + (g2*t^8.27)/g1^6 + t^8.34/g1^8 + g1^3*g2^2*t^8.41 + (g1*t^8.42)/g2^2 + g1^2*g2^3*t^8.47 - (2*t^8.48)/g2 - g1*g2*t^8.48 + 2*g1*g2^4*t^8.53 + 2*g2^2*t^8.54 + (2*g2*t^8.6)/g1^2 + (2*g2^3*t^8.6)/g1 + t^8.61/(g1^4*g2^3) + t^8.61/(g1^3*g2) + (g2^2*t^8.66)/g1^3 + t^8.67/g1^4 + (g2*t^8.73)/g1^5 + t^8.74/(g1^6*g2) + 2*g1^2*g2*t^8.93 + g1^3*g2^3*t^8.93 + 2*g1*g2^2*t^8.99 + 2*g1^2*g2^4*t^8.99 - t^4.5/y - (g2*t^6.52)/y - t^6.58/(g1^2*y) + t^7.04/(g1*y) + (g2*t^7.1)/(g1^2*y) + (g1*g2^2*t^7.49)/y + t^7.5/y + (g2*t^7.56)/(g1*y) + t^7.57/(g1^2*g2*y) + (g2*t^8.02)/y + t^8.08/(g1^2*y) + (g1^2*t^8.42)/y + (2*t^8.48)/(g2*y) + (3*g1*g2*t^8.48)/y + (3*t^8.54)/(g1*y) + t^8.61/(g1^3*g2*y) - t^8.67/(g1^4*y) + (2*g1^2*g2*t^8.93)/y + (2*g1*t^8.94)/(g2*y) + (2*g1*g2^2*t^8.99)/y - t^4.5*y - g2*t^6.52*y - (t^6.58*y)/g1^2 + (t^7.04*y)/g1 + (g2*t^7.1*y)/g1^2 + g1*g2^2*t^7.49*y + t^7.5*y + (g2*t^7.56*y)/g1 + (t^7.57*y)/(g1^2*g2) + g2*t^8.02*y + (t^8.08*y)/g1^2 + g1^2*t^8.42*y + (2*t^8.48*y)/g2 + 3*g1*g2*t^8.48*y + (3*t^8.54*y)/g1 + (t^8.61*y)/(g1^3*g2) - (t^8.67*y)/g1^4 + 2*g1^2*g2*t^8.93*y + (2*g1*t^8.94*y)/g2 + 2*g1*g2^2*t^8.99*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
46099 $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ 0.6567 0.8429 0.7791 [X:[], M:[1.1526, 0.6737, 0.6948], q:[0.75, 0.4237], qb:[0.4026, 0.4237], phi:[0.5]] t^2.02 + t^2.08 + 2*t^2.48 + t^3. + 2*t^3.46 + 2*t^3.52 + t^3.98 + 4*t^4.04 + t^4.11 + t^4.17 + 2*t^4.5 + 2*t^4.56 + 3*t^4.96 + t^5.02 + t^5.08 + 4*t^5.48 + 4*t^5.54 + 2*t^5.61 + 2*t^5.94 - t^4.5/y - t^4.5*y detail
46130 $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_2$ 0.6508 0.8317 0.7826 [X:[], M:[1.1068, 0.7136, 0.7864], q:[0.75, 0.4297], qb:[0.3568, 0.4636], phi:[0.5]] t^2.14 + 2*t^2.36 + t^2.46 + t^3. + 2*t^3.32 + t^3.54 + t^3.64 + t^3.96 + t^4.08 + t^4.18 + 2*t^4.28 + 2*t^4.5 + t^4.6 + 3*t^4.72 + 2*t^4.82 + t^4.92 + t^5.14 + 2*t^5.36 + 3*t^5.46 + 4*t^5.68 + 2*t^5.78 + t^5.9 - t^4.5/y - t^4.5*y detail
46285 $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ 0.6776 0.8842 0.7663 [X:[], M:[1.153, 0.6735, 0.694, 0.6735], q:[0.75, 0.4235], qb:[0.403, 0.4235], phi:[0.5]] 2*t^2.02 + t^2.08 + 2*t^2.48 + t^3. + 2*t^3.46 + 2*t^3.52 + 6*t^4.04 + 2*t^4.1 + t^4.16 + 4*t^4.5 + 2*t^4.56 + 3*t^4.96 + 2*t^5.02 + t^5.08 + 6*t^5.48 + 6*t^5.54 + 2*t^5.6 + 2*t^5.94 - t^6. - t^4.5/y - t^4.5*y detail
46201 $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ 0.6426 0.819 0.7847 [X:[], M:[1.1608, 0.6858, 0.6783, 1.1534], q:[0.75, 0.4034], qb:[0.4108, 0.4358], phi:[0.5]] t^2.04 + t^2.06 + t^2.44 + t^3. + 2*t^3.46 + 2*t^3.48 + t^3.56 + t^3.92 + t^4.02 + t^4.04 + t^4.07 + t^4.09 + 2*t^4.11 + t^4.48 + t^4.5 + t^4.89 + t^5.04 + t^5.06 + t^5.44 + 2*t^5.5 + 4*t^5.52 + 2*t^5.54 + t^5.59 + t^5.61 + t^5.9 + t^5.93 + t^5.96 - 2*t^6. - t^4.5/y - t^4.5*y detail
46283 $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ 0.6564 0.8431 0.7786 [X:[], M:[1.1623, 0.6755, 0.6755], q:[0.75, 0.4123], qb:[0.4123, 0.4255], phi:[0.5]] 2*t^2.03 + t^2.47 + t^2.51 + t^3. + 3*t^3.49 + t^3.53 + t^3.97 + 2*t^4.01 + 4*t^4.05 + 2*t^4.5 + 2*t^4.54 + t^4.95 + t^4.99 + 3*t^5.03 + t^5.47 + 7*t^5.51 + 2*t^5.55 + t^5.96 + t^6. - t^4.5/y - t^4.5*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
45938 SU2adj1nf2 $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ 0.6363 0.8038 0.7916 [X:[], M:[1.142, 0.6775], q:[0.75, 0.4306], qb:[0.392, 0.4275], phi:[0.5]] t^2.03 + t^2.46 + t^2.47 + t^3. + 2*t^3.43 + t^3.53 + t^3.54 + t^3.85 + t^3.96 + 2*t^4.06 + t^4.07 + t^4.08 + t^4.49 + t^4.5 + t^4.92 + t^4.93 + t^4.94 + t^5.03 + 3*t^5.46 + t^5.47 + t^5.56 + t^5.57 + 2*t^5.88 + t^5.89 + t^5.99 - t^6. - t^4.5/y - t^4.5*y detail