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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
1641 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_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_7q_1q_2$ 0.7165 0.904 0.7926 [X:[], M:[0.9701, 1.1244, 0.9701, 0.6866, 0.8756, 0.7811, 0.7811], q:[0.7811, 0.4378], qb:[0.5921, 0.4378], phi:[0.4378]] [X:[], M:[[9], [-4], [9], [-6], [4], [-1], [-1]], q:[[-1], [2]], qb:[[-11], [2]], phi:[[2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_4$, $ M_6$, $ M_7$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_3$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ M_4M_6$, $ M_4M_7$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_4$, $ M_3M_4$, $ M_5M_6$, $ M_5M_7$, $ M_6\phi_1^2$, $ M_7\phi_1^2$, $ M_5^2$, $ M_1M_6$, $ M_3M_6$, $ M_1M_7$, $ M_3M_7$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_5$, $ M_3M_5$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$ $M_4\phi_1q_2^2$, $ M_4\phi_1\tilde{q}_2^2$ -3 t^2.06 + 2*t^2.34 + 2*t^2.63 + 2*t^2.91 + 2*t^3.94 + 2*t^4.12 + 4*t^4.4 + 5*t^4.69 + t^4.87 + 6*t^4.97 + 7*t^5.25 + 2*t^5.54 + 3*t^5.82 - 3*t^6. + 2*t^6.18 + 2*t^6.28 + 4*t^6.46 + 3*t^6.57 + 9*t^6.75 + 2*t^6.85 + t^6.93 + 12*t^7.03 + 2*t^7.21 + 10*t^7.31 + t^7.49 + 12*t^7.6 - 2*t^7.78 + 13*t^7.88 - 5*t^8.06 + 8*t^8.16 + 2*t^8.24 - 8*t^8.34 + 3*t^8.45 + 4*t^8.52 - 5*t^8.63 + 4*t^8.73 + 9*t^8.81 - 4*t^8.91 + 2*t^8.99 - t^4.31/y - t^6.37/y - (2*t^6.66)/y - t^6.94/y - (2*t^7.22)/y + (4*t^7.4)/y + (4*t^7.69)/y + (8*t^7.97)/y + (6*t^8.25)/y - t^8.43/y + (4*t^8.54)/y - (2*t^8.72)/y + t^8.82/y - t^4.31*y - t^6.37*y - 2*t^6.66*y - t^6.94*y - 2*t^7.22*y + 4*t^7.4*y + 4*t^7.69*y + 8*t^7.97*y + 6*t^8.25*y - t^8.43*y + 4*t^8.54*y - 2*t^8.72*y + t^8.82*y t^2.06/g1^6 + (2*t^2.34)/g1 + 2*g1^4*t^2.63 + 2*g1^9*t^2.91 + 2*g1^6*t^3.94 + (2*t^4.12)/g1^12 + (4*t^4.4)/g1^7 + (5*t^4.69)/g1^2 + t^4.87/g1^20 + 6*g1^3*t^4.97 + 7*g1^8*t^5.25 + 2*g1^13*t^5.54 + 3*g1^18*t^5.82 - 3*t^6. + (2*t^6.18)/g1^18 + 2*g1^5*t^6.28 + (4*t^6.46)/g1^13 + 3*g1^10*t^6.57 + (9*t^6.75)/g1^8 + 2*g1^15*t^6.85 + t^6.93/g1^26 + (12*t^7.03)/g1^3 + (2*t^7.21)/g1^21 + 10*g1^2*t^7.31 + t^7.49/g1^16 + 12*g1^7*t^7.6 - (2*t^7.78)/g1^11 + 13*g1^12*t^7.88 - (5*t^8.06)/g1^6 + 8*g1^17*t^8.16 + (2*t^8.24)/g1^24 - (8*t^8.34)/g1 + 3*g1^22*t^8.45 + (4*t^8.52)/g1^19 - 5*g1^4*t^8.63 + 4*g1^27*t^8.73 + (9*t^8.81)/g1^14 - 4*g1^9*t^8.91 + (2*t^8.99)/g1^32 - (g1^2*t^4.31)/y - t^6.37/(g1^4*y) - (2*g1*t^6.66)/y - (g1^6*t^6.94)/y - (2*g1^11*t^7.22)/y + (4*t^7.4)/(g1^7*y) + (4*t^7.69)/(g1^2*y) + (8*g1^3*t^7.97)/y + (6*g1^8*t^8.25)/y - t^8.43/(g1^10*y) + (4*g1^13*t^8.54)/y - (2*t^8.72)/(g1^5*y) + (g1^18*t^8.82)/y - g1^2*t^4.31*y - (t^6.37*y)/g1^4 - 2*g1*t^6.66*y - g1^6*t^6.94*y - 2*g1^11*t^7.22*y + (4*t^7.4*y)/g1^7 + (4*t^7.69*y)/g1^2 + 8*g1^3*t^7.97*y + 6*g1^8*t^8.25*y - (t^8.43*y)/g1^10 + 4*g1^13*t^8.54*y - (2*t^8.72*y)/g1^5 + g1^18*t^8.82*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
4033 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_7q_1q_2$ + $ M_1M_8$ + $ M_4X_1$ 0.6945 0.8612 0.8064 [X:[1.336], M:[1.004, 1.1093, 1.004, 0.664, 0.8907, 0.7773, 0.7773, 0.996], q:[0.7773, 0.4453], qb:[0.5506, 0.4453], phi:[0.4453]] 2*t^2.33 + 2*t^2.67 + t^2.99 + t^3.01 + t^3.98 + 3*t^4.01 + 2*t^4.32 + t^4.64 + 3*t^4.66 + 4*t^5. + 2*t^5.32 + 5*t^5.34 + 2*t^5.66 + t^5.98 - 4*t^6. - t^4.34/y - t^4.34*y detail
4032 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_7q_1q_2$ + $ M_4M_8$ 0.6958 0.8638 0.8055 [X:[], M:[0.9672, 1.1257, 0.9672, 0.6885, 0.8743, 0.7814, 0.7814, 1.3115], q:[0.7814, 0.4372], qb:[0.5957, 0.4372], phi:[0.4372]] 2*t^2.34 + 2*t^2.62 + 2*t^2.9 + 3*t^3.93 + t^4.13 + 2*t^4.41 + 3*t^4.69 + t^4.89 + 4*t^4.97 + 7*t^5.25 + 2*t^5.52 + 3*t^5.8 - 5*t^6. - t^4.31/y - t^4.31*y detail
4034 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_7q_1q_2$ + $ M_8\phi_1q_2^2$ 0.7372 0.9444 0.7806 [X:[], M:[0.9725, 1.1233, 0.9725, 0.685, 0.8767, 0.7808, 0.7808, 0.685], q:[0.7808, 0.4383], qb:[0.5891, 0.4383], phi:[0.4383]] 2*t^2.05 + 2*t^2.34 + 2*t^2.63 + 2*t^2.92 + t^3.95 + 4*t^4.11 + 6*t^4.4 + 7*t^4.68 + t^4.85 + 8*t^4.97 + 7*t^5.26 + 2*t^5.55 + 3*t^5.84 - 3*t^6. - t^4.32/y - t^4.32*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
1056 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_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_6q_1q_2$ 0.699 0.8728 0.8008 [X:[], M:[0.9679, 1.1254, 0.9679, 0.6881, 0.8746, 0.7813], q:[0.7813, 0.4373], qb:[0.5948, 0.4373], phi:[0.4373]] t^2.06 + t^2.34 + 2*t^2.62 + 2*t^2.9 + t^3.66 + 2*t^3.94 + 2*t^4.13 + 3*t^4.41 + 3*t^4.69 + t^4.88 + 4*t^4.97 + 5*t^5.25 + 2*t^5.53 + t^5.72 + 3*t^5.81 - 2*t^6. - t^4.31/y - t^4.31*y detail