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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
272 SU2adj1nf2 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ 0.7075 0.8653 0.8176 [X:[], M:[1.0, 0.8667, 0.8739, 0.6921], q:[0.8042, 0.5036], qb:[0.4964, 0.6297], phi:[0.3915]] [X:[], M:[[0, 0], [1, -7], [-1, -7], [1, -1]], q:[[0, 1], [-1, 0]], qb:[[1, 0], [0, 7]], phi:[[0, -2]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_4$, $ \phi_1^2$, $ M_2$, $ M_3$, $ M_1$, $ q_1\tilde{q}_1$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ M_3M_4$, $ \phi_1^4$, $ M_2\phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_1M_4$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_1\phi_1^2$ . -2 t^2.08 + t^2.35 + t^2.6 + t^2.62 + t^3. + t^3.9 + 2*t^4.15 + t^4.17 + t^4.2 + t^4.3 + t^4.43 + t^4.55 + t^4.57 + t^4.68 + 2*t^4.7 + 2*t^4.95 + t^4.97 + t^5.08 + t^5.2 + t^5.22 + t^5.24 + t^5.35 - 2*t^6. - t^6.02 + 2*t^6.23 + t^6.25 - t^6.4 + 3*t^6.5 + t^6.52 + t^6.55 + t^6.63 + t^6.65 + 2*t^6.75 + 3*t^6.77 + t^6.8 + t^6.82 + 2*t^6.9 + t^6.92 + 2*t^7.03 + 2*t^7.05 + 2*t^7.15 + t^7.17 + t^7.2 + t^7.28 + 3*t^7.3 + 2*t^7.32 + t^7.43 + t^7.55 + t^7.57 + t^7.59 + t^7.7 + t^7.8 + t^7.82 - t^7.83 + t^7.84 - t^7.85 + t^7.87 + t^8.05 - 2*t^8.08 - t^8.1 - t^8.23 + 3*t^8.31 + t^8.33 - t^8.35 + t^8.39 + t^8.45 - t^8.48 + 2*t^8.58 - 2*t^8.6 - 3*t^8.62 - t^8.64 + 2*t^8.71 - t^8.75 + t^8.77 + 2*t^8.83 + 5*t^8.85 + t^8.87 + t^8.89 + t^8.98 - t^4.17/y - t^6.25/y - t^6.52/y - t^6.77/y - t^6.8/y + t^7.43/y + t^7.55/y + t^7.57/y + t^7.68/y + t^7.7/y + t^7.83/y + t^7.95/y + t^7.97/y + t^8.08/y + t^8.1/y + t^8.22/y - t^8.33/y + t^8.35/y + t^8.62/y - t^8.85/y - (2*t^8.87)/y + t^8.98/y - t^4.17*y - t^6.25*y - t^6.52*y - t^6.77*y - t^6.8*y + t^7.43*y + t^7.55*y + t^7.57*y + t^7.68*y + t^7.7*y + t^7.83*y + t^7.95*y + t^7.97*y + t^8.08*y + t^8.1*y + t^8.22*y - t^8.33*y + t^8.35*y + t^8.62*y - t^8.85*y - 2*t^8.87*y + t^8.98*y (g1*t^2.08)/g2 + t^2.35/g2^4 + (g1*t^2.6)/g2^7 + t^2.62/(g1*g2^7) + t^3. + g1*g2*t^3.9 + (2*g1^2*t^4.15)/g2^2 + t^4.17/g2^2 + t^4.2/(g1^2*g2^2) + g2^8*t^4.3 + (g1*t^4.43)/g2^5 + g1*g2^5*t^4.55 + (g2^5*t^4.57)/g1 + (g1^2*t^4.68)/g2^8 + (2*t^4.7)/g2^8 + (g1*t^4.95)/g2^11 + g2^12*t^4.95 + t^4.97/(g1*g2^11) + (g1*t^5.08)/g2 + (g1^2*t^5.2)/g2^14 + t^5.22/g2^14 + t^5.24/(g1^2*g2^14) + t^5.35/g2^4 - 2*t^6. - t^6.02/g1^2 + (2*g1^3*t^6.23)/g2^3 + (g1*t^6.25)/g2^3 - (g2^7*t^6.4)/g1 + (3*g1^2*t^6.5)/g2^6 + t^6.52/g2^6 + t^6.55/(g1^2*g2^6) + g1^2*g2^4*t^6.63 + g2^4*t^6.65 + (2*g1^3*t^6.75)/g2^9 + (3*g1*t^6.77)/g2^9 + t^6.8/(g1*g2^9) + t^6.82/(g1^3*g2^9) + 2*g1*g2*t^6.9 + (g2*t^6.92)/g1 + (g1^2*t^7.03)/g2^12 + g1*g2^11*t^7.03 + (2*t^7.05)/g2^12 + (2*g1^2*t^7.15)/g2^2 + t^7.17/g2^2 + t^7.2/(g1^2*g2^2) + (g1^3*t^7.28)/g2^15 + (2*g1*t^7.3)/g2^15 + g2^8*t^7.3 + (2*t^7.32)/(g1*g2^15) + (g1*t^7.43)/g2^5 + (g1^2*t^7.55)/g2^18 + t^7.57/g2^18 + t^7.59/(g1^2*g2^18) + t^7.7/g2^8 + (g1^3*t^7.8)/g2^21 + (g1*t^7.82)/g2^21 - g2^2*t^7.83 + t^7.84/(g1*g2^21) - (g2^2*t^7.85)/g1^2 + t^7.87/(g1^3*g2^21) + (g1^3*t^8.05)/g2 - (2*g1*t^8.08)/g2 - t^8.1/(g1*g2) - (g2^9*t^8.23)/g1 + (3*g1^4*t^8.31)/g2^4 + (g1^2*t^8.33)/g2^4 - t^8.35/g2^4 + t^8.39/(g1^4*g2^4) + g1^2*g2^6*t^8.45 - g2^6*t^8.48 + (2*g1^3*t^8.58)/g2^7 - (2*g1*t^8.6)/g2^7 - (3*t^8.62)/(g1*g2^7) - t^8.64/(g1^3*g2^7) + 2*g1^3*g2^3*t^8.71 - (g2^3*t^8.75)/g1 + (g2^3*t^8.77)/g1^3 + (2*g1^4*t^8.83)/g2^10 + (4*g1^2*t^8.85)/g2^10 + g1*g2^13*t^8.85 + t^8.87/g2^10 + t^8.89/(g1^2*g2^10) + g1^2*t^8.98 - t^4.17/(g2^2*y) - (g1*t^6.25)/(g2^3*y) - t^6.52/(g2^6*y) - (g1*t^6.77)/(g2^9*y) - t^6.8/(g1*g2^9*y) + (g1*t^7.43)/(g2^5*y) + (g1*g2^5*t^7.55)/y + (g2^5*t^7.57)/(g1*y) + (g1^2*t^7.68)/(g2^8*y) + t^7.7/(g2^8*y) + (g2^2*t^7.83)/y + (g1*t^7.95)/(g2^11*y) + t^7.97/(g1*g2^11*y) + (g1*t^8.08)/(g2*y) + t^8.1/(g1*g2*y) + t^8.22/(g2^14*y) - (g1^2*t^8.33)/(g2^4*y) + t^8.35/(g2^4*y) + t^8.62/(g1*g2^7*y) - (g1^2*t^8.85)/(g2^10*y) - (2*t^8.87)/(g2^10*y) + (g1^2*t^8.98)/y - (t^4.17*y)/g2^2 - (g1*t^6.25*y)/g2^3 - (t^6.52*y)/g2^6 - (g1*t^6.77*y)/g2^9 - (t^6.8*y)/(g1*g2^9) + (g1*t^7.43*y)/g2^5 + g1*g2^5*t^7.55*y + (g2^5*t^7.57*y)/g1 + (g1^2*t^7.68*y)/g2^8 + (t^7.7*y)/g2^8 + g2^2*t^7.83*y + (g1*t^7.95*y)/g2^11 + (t^7.97*y)/(g1*g2^11) + (g1*t^8.08*y)/g2 + (t^8.1*y)/(g1*g2) + (t^8.22*y)/g2^14 - (g1^2*t^8.33*y)/g2^4 + (t^8.35*y)/g2^4 + (t^8.62*y)/(g1*g2^7) - (g1^2*t^8.85*y)/g2^10 - (2*t^8.87*y)/g2^10 + g1^2*t^8.98*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
445 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ 0.6501 0.7927 0.8201 [X:[], M:[1.0, 1.1539, 0.8975, 0.8461], q:[0.782, 0.3718], qb:[0.6282, 0.4743], phi:[0.4359]] t^2.54 + t^2.62 + t^2.69 + t^3. + t^3.46 + t^3.54 + t^3.77 + t^3.85 + t^4.15 + t^4.23 + t^4.31 + t^4.62 + 2*t^5.08 + t^5.15 + t^5.23 + t^5.31 + t^5.39 + t^5.62 - t^6. - t^4.31/y - t^4.31*y detail
444 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_5q_1\tilde{q}_1$ 0.7281 0.9047 0.8047 [X:[], M:[1.0, 0.869, 0.869, 0.6956, 0.6956], q:[0.8044, 0.5], qb:[0.5, 0.631], phi:[0.3912]] 2*t^2.09 + t^2.35 + 2*t^2.61 + t^3. + 6*t^4.17 + t^4.31 + 2*t^4.43 + 2*t^4.57 + 5*t^4.69 + 2*t^4.95 + t^4.96 + 2*t^5.09 + 3*t^5.21 + t^5.35 - 4*t^6. - t^4.17/y - t^4.17*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
172 SU2adj1nf2 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ 0.6869 0.8254 0.8322 [X:[], M:[1.0, 0.8713, 0.8713], q:[0.8041, 0.5], qb:[0.5, 0.6287], phi:[0.3918]] t^2.35 + 2*t^2.61 + t^3. + 2*t^3.91 + 3*t^4.18 + t^4.3 + 2*t^4.56 + t^4.7 + t^4.95 + 2*t^4.96 + 3*t^5.23 + t^5.35 - 4*t^6. - t^4.18/y - t^4.18*y detail