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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
55185 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6\phi_1^2$ + $ M_4M_5$ + $ M_4M_7$ 0.7086 0.877 0.808 [X:[], M:[0.9634, 0.8512, 0.9771, 1.0893, 0.9107, 1.0298, 0.9107], q:[0.6076, 0.4291], qb:[0.5412, 0.4817], phi:[0.4851]] [X:[], M:[[0, 8], [-10, 10], [-4, -4], [6, -6], [-6, 6], [2, -2], [-6, 6]], q:[[6, -10], [-6, 2]], qb:[[4, 0], [0, 4]], phi:[[-1, 1]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ M_5$, $ M_7$, $ M_1$, $ \phi_1^2$, $ M_3$, $ M_6$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ M_2^2$, $ M_2M_5$, $ M_2M_7$, $ M_1M_2$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ M_2\phi_1^2$, $ M_2M_3$, $ M_1M_5$, $ M_1M_7$, $ M_2M_6$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ M_3M_5$, $ M_3M_7$, $ M_1^2$, $ M_1M_3$, $ M_5M_6$, $ M_6M_7$, $ \phi_1^4$, $ M_3^2$, $ M_1M_6$ . -3 t^2.55 + 2*t^2.73 + t^2.89 + t^2.91 + t^2.93 + t^3.09 + t^4.03 + t^4.19 + t^4.35 + t^4.37 + t^4.52 + t^4.57 + t^4.7 + t^4.72 + t^4.9 + t^5.1 + t^5.11 + 2*t^5.29 + t^5.44 + 3*t^5.46 + t^5.49 + t^5.62 + 3*t^5.64 + t^5.66 + t^5.78 + 3*t^5.82 + t^5.86 + t^5.98 - 3*t^6. + t^6.02 - t^6.16 - t^6.18 - t^6.2 - t^6.34 - t^6.38 - t^6.54 + t^6.58 + t^6.74 + 2*t^6.76 + t^6.9 + 3*t^6.92 + t^6.94 + t^6.96 + 3*t^7.08 + 2*t^7.1 + t^7.12 + t^7.24 + 3*t^7.26 + 2*t^7.28 + t^7.3 + t^7.41 + 2*t^7.43 + t^7.46 + t^7.5 + t^7.59 + t^7.61 + t^7.65 + t^7.66 - t^7.79 + t^7.83 + 2*t^7.84 - t^7.97 + t^8. + 3*t^8.02 + t^8.03 + t^8.04 + t^8.06 - t^8.17 + t^8.18 + 5*t^8.2 + 2*t^8.22 + t^8.33 + t^8.35 + 6*t^8.38 + t^8.4 + t^8.42 + t^8.51 + 2*t^8.53 + t^8.55 + 2*t^8.59 + t^8.67 + t^8.69 + t^8.71 - 5*t^8.73 + 2*t^8.75 + t^8.79 + 2*t^8.87 - 5*t^8.89 - 3*t^8.91 - 4*t^8.93 + t^8.95 - t^4.46/y - t^7.01/y - t^7.19/y - t^7.35/y - t^7.39/y + t^7.52/y + t^7.57/y + t^7.72/y + t^7.9/y + (2*t^8.29)/y + t^8.44/y + (2*t^8.46)/y + t^8.49/y + (2*t^8.62)/y + (3*t^8.64)/y + (2*t^8.66)/y + t^8.8/y + (3*t^8.82)/y + t^8.84/y + t^8.98/y - t^4.46*y - t^7.01*y - t^7.19*y - t^7.35*y - t^7.39*y + t^7.52*y + t^7.57*y + t^7.72*y + t^7.9*y + 2*t^8.29*y + t^8.44*y + 2*t^8.46*y + t^8.49*y + 2*t^8.62*y + 3*t^8.64*y + 2*t^8.66*y + t^8.8*y + 3*t^8.82*y + t^8.84*y + t^8.98*y (g2^10*t^2.55)/g1^10 + (2*g2^6*t^2.73)/g1^6 + g2^8*t^2.89 + (g2^2*t^2.91)/g1^2 + t^2.93/(g1^4*g2^4) + (g1^2*t^3.09)/g2^2 + (g2^5*t^4.03)/g1^13 + (g2^7*t^4.19)/g1^7 + (g2^9*t^4.35)/g1 + (g2^3*t^4.37)/g1^3 + g1^3*g2^5*t^4.52 + t^4.57/(g1*g2^7) + g1^7*g2*t^4.7 + (g1^5*t^4.72)/g2^5 + (g1^9*t^4.9)/g2^9 + (g1^11*t^5.1)/g2^19 + (g2^20*t^5.11)/g1^20 + (2*g2^16*t^5.29)/g1^16 + (g2^18*t^5.44)/g1^10 + (3*g2^12*t^5.46)/g1^12 + (g2^6*t^5.49)/g1^14 + (g2^14*t^5.62)/g1^6 + (3*g2^8*t^5.64)/g1^8 + (g2^2*t^5.66)/g1^10 + g2^16*t^5.78 + (3*g2^4*t^5.82)/g1^4 + t^5.86/(g1^8*g2^8) + g1^2*g2^6*t^5.98 - 3*t^6. + t^6.02/(g1^2*g2^6) - g1^6*g2^2*t^6.16 - (g1^4*t^6.18)/g2^4 - (g1^2*t^6.2)/g2^10 - (g1^10*t^6.34)/g2^2 - (g1^6*t^6.38)/g2^14 - (g1^12*t^6.54)/g2^12 + (g2^15*t^6.58)/g1^23 + (g2^17*t^6.74)/g1^17 + (2*g2^11*t^6.76)/g1^19 + (g2^19*t^6.9)/g1^11 + (3*g2^13*t^6.92)/g1^13 + (g2^7*t^6.94)/g1^15 + (g2*t^6.96)/g1^17 + (3*g2^15*t^7.08)/g1^7 + (2*g2^9*t^7.1)/g1^9 + (g2^3*t^7.12)/g1^11 + (g2^17*t^7.24)/g1 + (3*g2^11*t^7.26)/g1^3 + (2*g2^5*t^7.28)/g1^5 + t^7.3/(g1^7*g2) + g1^3*g2^13*t^7.41 + 2*g1*g2^7*t^7.43 + (g2*t^7.46)/g1 + t^7.5/(g1^5*g2^11) + g1^7*g2^9*t^7.59 + g1^5*g2^3*t^7.61 + (g1*t^7.65)/g2^9 + (g2^30*t^7.66)/g1^30 - (g1^9*t^7.79)/g2 + (g1^5*t^7.83)/g2^13 + (2*g2^26*t^7.84)/g1^26 - (g1^13*t^7.97)/g2^5 + (g2^28*t^8.)/g1^20 + (3*g2^22*t^8.02)/g1^22 + (g1^7*t^8.03)/g2^23 + (g2^16*t^8.04)/g1^24 + (g2^10*t^8.06)/g1^26 - (g1^15*t^8.17)/g2^15 + (g2^24*t^8.18)/g1^16 + (5*g2^18*t^8.2)/g1^18 + (2*g2^12*t^8.22)/g1^20 + (g2^26*t^8.33)/g1^10 + (g2^20*t^8.35)/g1^12 + (6*g2^14*t^8.38)/g1^14 + (g2^8*t^8.4)/g1^16 + (g2^2*t^8.42)/g1^18 + (g2^22*t^8.51)/g1^6 + (2*g2^16*t^8.53)/g1^8 + (g2^10*t^8.55)/g1^10 + (2*t^8.59)/(g1^14*g2^2) + g2^24*t^8.67 + (g2^18*t^8.69)/g1^2 + (g2^12*t^8.71)/g1^4 - (5*g2^6*t^8.73)/g1^6 + (2*t^8.75)/g1^8 + t^8.79/(g1^12*g2^12) + 2*g1^2*g2^14*t^8.87 - 5*g2^8*t^8.89 - (3*g2^2*t^8.91)/g1^2 - (4*t^8.93)/(g1^4*g2^4) + t^8.95/(g1^6*g2^10) - (g2*t^4.46)/(g1*y) - (g2^11*t^7.01)/(g1^11*y) - (g2^7*t^7.19)/(g1^7*y) - (g2^9*t^7.35)/(g1*y) - t^7.39/(g1^5*g2^3*y) + (g1^3*g2^5*t^7.52)/y + t^7.57/(g1*g2^7*y) + (g1^5*t^7.72)/(g2^5*y) + (g1^9*t^7.9)/(g2^9*y) + (2*g2^16*t^8.29)/(g1^16*y) + (g2^18*t^8.44)/(g1^10*y) + (2*g2^12*t^8.46)/(g1^12*y) + (g2^6*t^8.49)/(g1^14*y) + (2*g2^14*t^8.62)/(g1^6*y) + (3*g2^8*t^8.64)/(g1^8*y) + (2*g2^2*t^8.66)/(g1^10*y) + (g2^10*t^8.8)/(g1^2*y) + (3*g2^4*t^8.82)/(g1^4*y) + t^8.84/(g1^6*g2^2*y) + (g1^2*g2^6*t^8.98)/y - (g2*t^4.46*y)/g1 - (g2^11*t^7.01*y)/g1^11 - (g2^7*t^7.19*y)/g1^7 - (g2^9*t^7.35*y)/g1 - (t^7.39*y)/(g1^5*g2^3) + g1^3*g2^5*t^7.52*y + (t^7.57*y)/(g1*g2^7) + (g1^5*t^7.72*y)/g2^5 + (g1^9*t^7.9*y)/g2^9 + (2*g2^16*t^8.29*y)/g1^16 + (g2^18*t^8.44*y)/g1^10 + (2*g2^12*t^8.46*y)/g1^12 + (g2^6*t^8.49*y)/g1^14 + (2*g2^14*t^8.62*y)/g1^6 + (3*g2^8*t^8.64*y)/g1^8 + (2*g2^2*t^8.66*y)/g1^10 + (g2^10*t^8.8*y)/g1^2 + (3*g2^4*t^8.82*y)/g1^4 + (t^8.84*y)/(g1^6*g2^2) + g1^2*g2^6*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
56855 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6\phi_1^2$ + $ M_4M_5$ + $ M_4M_7$ + $ M_3M_5$ 0.7017 0.8654 0.8109 [X:[], M:[0.9087, 0.9087, 1.0548, 1.0548, 0.9452, 1.0183, 0.9452], q:[0.6004, 0.4909], qb:[0.4909, 0.4544], phi:[0.4909]] 2*t^2.73 + 2*t^2.84 + t^2.95 + t^3.05 + t^3.16 + t^4.2 + 2*t^4.31 + 3*t^4.42 + t^4.64 + 2*t^4.75 + t^5.07 + 3*t^5.45 + 3*t^5.56 + 3*t^5.67 + 4*t^5.78 + 3*t^5.89 - 3*t^6. - t^4.47/y - t^4.47*y detail
56854 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6\phi_1^2$ + $ M_4M_5$ + $ M_4M_7$ + $ \phi_1q_1^2$ 0.6837 0.8638 0.7915 [X:[], M:[0.8228, 0.7065, 1.0598, 1.1761, 0.8239, 1.0587, 0.8239], q:[0.7647, 0.4125], qb:[0.5288, 0.4114], phi:[0.4707]] t^2.12 + 3*t^2.47 + t^2.82 + 2*t^3.18 + 2*t^3.88 + t^3.89 + t^4.23 + 2*t^4.24 + t^4.58 + 3*t^4.59 + 7*t^4.94 + t^5.29 + 4*t^5.3 + t^5.64 + 4*t^5.65 - t^6. - t^4.41/y - t^4.41*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
46847 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6\phi_1^2$ + $ M_4M_5$ 0.7013 0.8626 0.813 [X:[], M:[0.9729, 0.8851, 0.9811, 1.0689, 0.9311, 1.023], q:[0.5825, 0.4446], qb:[0.5324, 0.4864], phi:[0.4885]] t^2.66 + t^2.79 + t^2.92 + t^2.93 + t^2.94 + t^3.07 + t^3.21 + t^4.13 + t^4.26 + t^4.38 + t^4.4 + t^4.52 + t^4.55 + t^4.66 + t^4.67 + t^4.81 + t^4.96 + t^5.31 + t^5.45 + t^5.57 + t^5.59 + t^5.6 + 2*t^5.72 + t^5.84 + 3*t^5.86 + t^5.89 + t^5.99 - 2*t^6. - t^4.47/y - t^4.47*y detail