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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
208 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ 0.5895 0.742 0.7945 [X:[], M:[1.0, 1.0406, 0.9189], q:[0.7601, 0.2399], qb:[0.5406, 0.5406], phi:[0.4797]] [X:[], M:[[0, 0], [4, 4], [-8, -8]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_3$, $ \phi_1q_2^2$, $ M_1$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ M_3^2$, $ M_3\phi_1q_2^2$, $ M_1M_3$, $ \phi_1^2q_2^4$, $ M_2M_3$ . -4 2*t^2.34 + t^2.76 + t^2.88 + t^3. + t^3.12 + 2*t^3.78 + 2*t^3.9 + 6*t^4.68 + 2*t^5.22 + 2*t^5.34 + 2*t^5.46 + t^5.51 + t^5.63 + 2*t^5.76 + t^5.88 - 4*t^6. + 4*t^6.12 + 4*t^6.24 + 2*t^6.66 + 10*t^7.02 - 2*t^7.44 + 4*t^7.56 + 6*t^7.68 + 6*t^7.8 + 2*t^8.1 + t^8.27 - 10*t^8.34 + t^8.39 + 8*t^8.46 + 2*t^8.51 + 10*t^8.58 + 2*t^8.63 - t^8.76 - 5*t^8.88 - t^4.44/y - t^7.2/y + (2*t^7.68)/y + (2*t^8.1)/y + (2*t^8.22)/y + (2*t^8.34)/y + (2*t^8.46)/y + t^8.63/y + t^8.76/y + (2*t^8.88)/y - t^4.44*y - t^7.2*y + 2*t^7.68*y + 2*t^8.1*y + 2*t^8.22*y + 2*t^8.34*y + 2*t^8.46*y + t^8.63*y + t^8.76*y + 2*t^8.88*y (g1^7*t^2.34)/g2 + (g2^7*t^2.34)/g1 + t^2.76/(g1^8*g2^8) + t^2.88/(g1^4*g2^4) + t^3. + g1^4*g2^4*t^3.12 + (g1^5*t^3.78)/g2^3 + (g2^5*t^3.78)/g1^3 + g1^9*g2*t^3.9 + g1*g2^9*t^3.9 + (2*g1^14*t^4.68)/g2^2 + 2*g1^6*g2^6*t^4.68 + (2*g2^14*t^4.68)/g1^2 + (g1^3*t^5.22)/g2^5 + (g2^3*t^5.22)/g1^5 + (g1^7*t^5.34)/g2 + (g2^7*t^5.34)/g1 + g1^11*g2^3*t^5.46 + g1^3*g2^11*t^5.46 + t^5.51/(g1^16*g2^16) + t^5.63/(g1^12*g2^12) + (2*t^5.76)/(g1^8*g2^8) + t^5.88/(g1^4*g2^4) - 2*t^6. - (g1^8*t^6.)/g2^8 - (g2^8*t^6.)/g1^8 + (g1^12*t^6.12)/g2^4 + 2*g1^4*g2^4*t^6.12 + (g2^12*t^6.12)/g1^4 + g1^16*t^6.24 + 2*g1^8*g2^8*t^6.24 + g2^16*t^6.24 + (g1*t^6.66)/g2^7 + (g2*t^6.66)/g1^7 + (2*g1^21*t^7.02)/g2^3 + 3*g1^13*g2^5*t^7.02 + 3*g1^5*g2^13*t^7.02 + (2*g2^21*t^7.02)/g1^3 - (2*t^7.44)/(g1^2*g2^2) + (2*g1^10*t^7.56)/g2^6 + (2*g2^10*t^7.56)/g1^6 + (2*g1^14*t^7.68)/g2^2 + 2*g1^6*g2^6*t^7.68 + (2*g2^14*t^7.68)/g1^2 + 2*g1^18*g2^2*t^7.8 + 2*g1^10*g2^10*t^7.8 + 2*g1^2*g2^18*t^7.8 + t^8.1/(g1*g2^9) + t^8.1/(g1^9*g2) + t^8.27/(g1^24*g2^24) - (g1^15*t^8.34)/g2^9 - (4*g1^7*t^8.34)/g2 - (4*g2^7*t^8.34)/g1 - (g2^15*t^8.34)/g1^9 + t^8.39/(g1^20*g2^20) + (2*g1^19*t^8.46)/g2^5 + 2*g1^11*g2^3*t^8.46 + 2*g1^3*g2^11*t^8.46 + (2*g2^19*t^8.46)/g1^5 + (2*t^8.51)/(g1^16*g2^16) + (2*g1^23*t^8.58)/g2 + 3*g1^15*g2^7*t^8.58 + 3*g1^7*g2^15*t^8.58 + (2*g2^23*t^8.58)/g1 + (2*t^8.63)/(g1^12*g2^12) - t^8.76/(g1^8*g2^8) - (g1^4*t^8.88)/g2^12 - (3*t^8.88)/(g1^4*g2^4) - (g2^4*t^8.88)/g1^12 - t^4.44/(g1^2*g2^2*y) - t^7.2/(g1^10*g2^10*y) + (2*g1^6*g2^6*t^7.68)/y + t^8.1/(g1*g2^9*y) + t^8.1/(g1^9*g2*y) + (g1^3*t^8.22)/(g2^5*y) + (g2^3*t^8.22)/(g1^5*y) + (g1^7*t^8.34)/(g2*y) + (g2^7*t^8.34)/(g1*y) + (g1^11*g2^3*t^8.46)/y + (g1^3*g2^11*t^8.46)/y + t^8.63/(g1^12*g2^12*y) + t^8.76/(g1^8*g2^8*y) + (2*t^8.88)/(g1^4*g2^4*y) - (t^4.44*y)/(g1^2*g2^2) - (t^7.2*y)/(g1^10*g2^10) + 2*g1^6*g2^6*t^7.68*y + (t^8.1*y)/(g1*g2^9) + (t^8.1*y)/(g1^9*g2) + (g1^3*t^8.22*y)/g2^5 + (g2^3*t^8.22*y)/g1^5 + (g1^7*t^8.34*y)/g2 + (g2^7*t^8.34*y)/g1 + g1^11*g2^3*t^8.46*y + g1^3*g2^11*t^8.46*y + (t^8.63*y)/(g1^12*g2^12) + (t^8.76*y)/(g1^8*g2^8) + (2*t^8.88*y)/(g1^4*g2^4)


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
335 $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_2q_2\tilde{q}_1$ 0.5742 0.7205 0.797 [X:[], M:[1.0, 1.1067, 0.7865], q:[0.7767, 0.2233], qb:[0.6699, 0.5436], phi:[0.4466]] t^2.3 + t^2.36 + 2*t^2.68 + t^3. + t^3.32 + t^3.64 + t^3.96 + t^4.02 + t^4.34 + 2*t^4.6 + t^4.72 + 3*t^4.98 + t^5.04 + t^5.3 + 5*t^5.36 + 2*t^5.68 + t^5.94 - t^6. - t^4.34/y - t^4.34*y detail
334 $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ 0.6092 0.7784 0.7826 [X:[], M:[1.0, 1.0424, 0.9152, 0.7291], q:[0.7606, 0.2394], qb:[0.5527, 0.5321], phi:[0.4788]] t^2.19 + t^2.31 + t^2.38 + t^2.75 + t^2.87 + t^3. + t^3.13 + t^3.75 + t^3.88 + t^3.94 + t^4.37 + t^4.5 + t^4.56 + 2*t^4.63 + 2*t^4.69 + 2*t^4.75 + t^4.93 + t^5.06 + 2*t^5.19 + t^5.25 + 2*t^5.31 + t^5.38 + t^5.44 + t^5.49 + t^5.5 + t^5.62 + 2*t^5.75 + t^5.87 - 2*t^6. - t^4.44/y - t^4.44*y detail
333 $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ 0.5867 0.74 0.7929 [X:[], M:[1.0, 1.0193, 0.9615, 1.0193], q:[0.7548, 0.2452], qb:[0.5193, 0.5193], phi:[0.4904]] 2*t^2.29 + t^2.88 + t^3. + 2*t^3.06 + 2*t^3.76 + 2*t^3.82 + 6*t^4.59 + 2*t^5.29 + 4*t^5.35 + t^5.77 + t^5.88 + t^5.94 - 5*t^6. - t^4.47/y - t^4.47*y detail
1735 $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_1$ 0.6102 0.7816 0.7806 [X:[], M:[1.0, 1.0442, 0.9116, 0.6905], q:[0.761, 0.239], qb:[0.5484, 0.54], phi:[0.4779]] t^2.07 + t^2.34 + t^2.36 + t^2.73 + t^2.87 + t^3. + t^3.13 + t^3.77 + t^3.8 + t^3.9 + t^4.14 + t^4.41 + t^4.43 + 2*t^4.67 + 2*t^4.7 + 2*t^4.72 + t^4.81 + t^4.94 + t^5.07 + 2*t^5.2 + t^5.23 + t^5.34 + t^5.36 + 2*t^5.47 + t^5.49 + t^5.6 + 2*t^5.73 + t^5.84 + 2*t^5.87 - 2*t^6. - t^4.43/y - t^4.43*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
127 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ 0.6849 0.8216 0.8337 [X:[], M:[0.689, 1.2094, 0.8921], q:[0.8024, 0.5086], qb:[0.554, 0.554], phi:[0.3953]] t^2.07 + t^2.68 + 2*t^3.19 + t^3.63 + 2*t^4.07 + t^4.13 + t^4.24 + 2*t^4.37 + 3*t^4.51 + t^4.74 + 2*t^5.25 + t^5.35 + t^5.7 - 5*t^6. - t^4.19/y - t^4.19*y detail