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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
993 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_5M_6$ 0.7055 0.8657 0.8149 [X:[], M:[1.0376, 0.878, 0.9624, 0.9531, 1.0469, 0.9531], q:[0.5235, 0.439], qb:[0.5141, 0.6079], phi:[0.4789]] [X:[], M:[[12, 4], [-16, -16], [-12, -4], [8, -8], [-8, 8], [8, -8]], q:[[-4, 4], [-8, -8]], qb:[[16, 0], [0, 16]], phi:[[-1, -3]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2M_4$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_2M_3$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1^4$, $ M_3\phi_1^2$, $ M_1M_4$, $ M_1M_6$, $ M_1\phi_1^2$ . -3 t^2.63 + 2*t^2.86 + t^2.87 + t^2.89 + t^3.11 + t^3.39 + t^4.07 + t^4.3 + t^4.32 + t^4.52 + t^4.55 + 2*t^4.58 + t^4.8 + t^4.83 + t^5.08 + t^5.27 + t^5.49 + t^5.51 + t^5.52 + 2*t^5.72 + 2*t^5.73 + 2*t^5.75 + t^5.76 + t^5.97 + t^5.99 - 3*t^6. - t^6.25 + t^6.27 + t^6.7 + t^6.79 + 2*t^6.93 + t^6.94 + 2*t^6.96 + 2*t^7.16 + t^7.17 + 2*t^7.18 + 2*t^7.21 + 2*t^7.38 + t^7.39 + 2*t^7.41 + 2*t^7.44 + t^7.45 + 2*t^7.46 + t^7.63 - t^7.65 + t^7.66 + t^7.69 - t^7.7 + t^7.72 + t^7.9 + t^7.92 - t^7.93 + t^7.94 + 2*t^7.97 + t^8.13 + 2*t^8.14 + t^8.16 + t^8.2 - t^8.21 + t^8.22 + t^8.35 + 2*t^8.37 + t^8.38 + 2*t^8.39 + t^8.48 + 2*t^8.58 + 3*t^8.59 + 2*t^8.61 + 3*t^8.62 - 3*t^8.63 + 2*t^8.65 + t^8.82 + 2*t^8.85 - 5*t^8.86 - t^8.87 - 6*t^8.89 + 2*t^8.9 - t^4.44/y - t^7.07/y - t^7.3/y - t^7.31/y + t^7.56/y + t^7.58/y + t^7.8/y + (2*t^8.49)/y + t^8.51/y + t^8.52/y + t^8.72/y + (2*t^8.73)/y + (3*t^8.75)/y + t^8.76/y + (2*t^8.97)/y + t^8.99/y - t^4.44*y - t^7.07*y - t^7.3*y - t^7.31*y + t^7.56*y + t^7.58*y + t^7.8*y + 2*t^8.49*y + t^8.51*y + t^8.52*y + t^8.72*y + 2*t^8.73*y + 3*t^8.75*y + t^8.76*y + 2*t^8.97*y + t^8.99*y t^2.63/(g1^16*g2^16) + (2*g1^8*t^2.86)/g2^8 + t^2.87/(g1^2*g2^6) + t^2.89/(g1^12*g2^4) + g1^12*g2^4*t^3.11 + (g2^20*t^3.39)/g1^4 + t^4.07/(g1^17*g2^19) + (g1^7*t^4.3)/g2^11 + t^4.32/(g1^13*g2^7) + (g1^31*t^4.52)/g2^3 + g1^11*g2*t^4.55 + (2*g2^5*t^4.58)/g1^9 + g1^15*g2^13*t^4.8 + (g2^17*t^4.83)/g1^5 + (g2^29*t^5.08)/g1 + t^5.27/(g1^32*g2^32) + t^5.49/(g1^8*g2^24) + t^5.51/(g1^18*g2^22) + t^5.52/(g1^28*g2^20) + (2*g1^16*t^5.72)/g2^16 + (2*g1^6*t^5.73)/g2^14 + (2*t^5.75)/(g1^4*g2^12) + t^5.76/(g1^14*g2^10) + (g1^20*t^5.97)/g2^4 + (g1^10*t^5.99)/g2^2 - 3*t^6. - g1^4*g2^12*t^6.25 + (g2^14*t^6.27)/g1^6 + t^6.7/(g1^33*g2^35) + (g2^40*t^6.79)/g1^8 + (2*t^6.93)/(g1^9*g2^27) + t^6.94/(g1^19*g2^25) + (2*t^6.96)/(g1^29*g2^23) + (2*g1^15*t^7.16)/g2^19 + (g1^5*t^7.17)/g2^17 + (2*t^7.18)/(g1^5*g2^15) + (2*t^7.21)/(g1^25*g2^11) + (2*g1^39*t^7.38)/g2^11 + (g1^29*t^7.39)/g2^9 + (2*g1^19*t^7.41)/g2^7 + (2*t^7.44)/(g1*g2^3) + t^7.45/(g1^11*g2) + (2*g2*t^7.46)/g1^21 + g1^43*g2*t^7.63 - g1^33*g2^3*t^7.65 + g1^23*g2^5*t^7.66 + g1^3*g2^9*t^7.69 - (g2^11*t^7.7)/g1^7 + (g2^13*t^7.72)/g1^17 + t^7.9/(g1^48*g2^48) + g1^27*g2^17*t^7.92 - g1^17*g2^19*t^7.93 + g1^7*g2^21*t^7.94 + (2*g2^25*t^7.97)/g1^13 + t^8.13/(g1^24*g2^40) + (2*t^8.14)/(g1^34*g2^38) + t^8.16/(g1^44*g2^36) + g1^11*g2^33*t^8.2 - g1*g2^35*t^8.21 + (g2^37*t^8.22)/g1^9 + t^8.35/g2^32 + (2*t^8.37)/(g1^10*g2^30) + t^8.38/(g1^20*g2^28) + (2*t^8.39)/(g1^30*g2^26) + (g2^49*t^8.48)/g1^5 + (2*g1^24*t^8.58)/g2^24 + (3*g1^14*t^8.59)/g2^22 + (2*g1^4*t^8.61)/g2^20 + (3*t^8.62)/(g1^6*g2^18) - (3*t^8.63)/(g1^16*g2^16) + (2*t^8.65)/(g1^26*g2^14) + (g1^38*t^8.82)/g2^14 + (2*g1^18*t^8.85)/g2^10 - (5*g1^8*t^8.86)/g2^8 - t^8.87/(g1^2*g2^6) - (6*t^8.89)/(g1^12*g2^4) + (2*t^8.9)/(g1^22*g2^2) - t^4.44/(g1*g2^3*y) - t^7.07/(g1^17*g2^19*y) - (g1^7*t^7.3)/(g2^11*y) - t^7.31/(g1^3*g2^9*y) + (g1*g2^3*t^7.56)/y + (g2^5*t^7.58)/(g1^9*y) + (g1^15*g2^13*t^7.8)/y + (2*t^8.49)/(g1^8*g2^24*y) + t^8.51/(g1^18*g2^22*y) + t^8.52/(g1^28*g2^20*y) + (g1^16*t^8.72)/(g2^16*y) + (2*g1^6*t^8.73)/(g2^14*y) + (3*t^8.75)/(g1^4*g2^12*y) + t^8.76/(g1^14*g2^10*y) + (2*g1^20*t^8.97)/(g2^4*y) + (g1^10*t^8.99)/(g2^2*y) - (t^4.44*y)/(g1*g2^3) - (t^7.07*y)/(g1^17*g2^19) - (g1^7*t^7.3*y)/g2^11 - (t^7.31*y)/(g1^3*g2^9) + g1*g2^3*t^7.56*y + (g2^5*t^7.58*y)/g1^9 + g1^15*g2^13*t^7.8*y + (2*t^8.49*y)/(g1^8*g2^24) + (t^8.51*y)/(g1^18*g2^22) + (t^8.52*y)/(g1^28*g2^20) + (g1^16*t^8.72*y)/g2^16 + (2*g1^6*t^8.73*y)/g2^14 + (3*t^8.75*y)/(g1^4*g2^12) + (t^8.76*y)/(g1^14*g2^10) + (2*g1^20*t^8.97*y)/g2^4 + (g1^10*t^8.99*y)/g2^2


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
1567 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_5M_6$ + $ M_1M_7$ 0.71 0.8743 0.8121 [X:[], M:[1.0587, 0.8481, 0.9413, 0.9655, 1.0345, 0.9655, 0.9413], q:[0.5172, 0.424], qb:[0.5415, 0.6105], phi:[0.4767]] t^2.54 + 2*t^2.82 + t^2.86 + 2*t^2.9 + t^3.38 + t^3.97 + t^4.25 + t^4.33 + 2*t^4.53 + t^4.61 + t^4.68 + t^4.81 + t^4.89 + 2*t^5.09 + 2*t^5.37 + t^5.4 + t^5.44 + 2*t^5.65 + 2*t^5.68 + 3*t^5.72 + 2*t^5.76 + 2*t^5.79 - 4*t^6. - t^4.43/y - t^4.43*y detail
2105 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_5M_6$ + $ \phi_1q_1\tilde{q}_2$ 0.6038 0.7739 0.7802 [X:[], M:[1.0166, 0.6882, 0.9834, 0.7214, 1.2786, 0.7214], q:[0.6393, 0.3441], qb:[0.3773, 0.9345], phi:[0.4262]] t^2.06 + 2*t^2.16 + t^2.56 + t^2.95 + t^3.05 + t^3.34 + t^3.44 + t^3.54 + t^4.13 + 2*t^4.23 + 3*t^4.33 + t^4.62 + 3*t^4.72 + t^5.01 + 4*t^5.11 + 2*t^5.21 + t^5.41 + 3*t^5.51 + 3*t^5.61 + 2*t^5.71 + t^5.9 - t^6. - t^4.28/y - t^4.28*y detail
2106 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_5M_6$ + $ \phi_1\tilde{q}_1^2$ 0.6433 0.803 0.801 [X:[], M:[1.1981, 0.7264, 0.8019, 1.1226, 0.8774, 1.1226], q:[0.4387, 0.3632], qb:[0.7594, 0.5142], phi:[0.4811]] t^2.18 + t^2.41 + t^2.86 + t^2.89 + 2*t^3.37 + t^3.59 + t^3.62 + t^3.85 + 2*t^4.08 + t^4.3 + t^4.36 + t^4.53 + t^4.58 + t^4.81 + t^5.04 + t^5.07 + t^5.26 + t^5.29 + t^5.55 + t^5.72 + t^5.75 + 2*t^5.77 + t^5.8 - 2*t^6. - t^4.44/y - t^4.44*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
611 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ 0.7024 0.8607 0.8161 [X:[], M:[1.0504, 0.8793, 0.9496, 0.98, 1.02], q:[0.51, 0.4396], qb:[0.5404, 0.5803], phi:[0.4824]] t^2.64 + t^2.85 + t^2.89 + t^2.94 + t^3.06 + t^3.15 + t^3.27 + t^4.09 + t^4.3 + t^4.39 + 2*t^4.51 + t^4.6 + t^4.69 + t^4.72 + t^4.81 + t^4.93 + t^5.28 + t^5.49 + t^5.53 + t^5.7 + t^5.74 + t^5.79 + t^5.83 + t^5.91 + t^5.95 - 2*t^6. - t^4.45/y - t^4.45*y detail