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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
262 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$ 0.6704 0.8228 0.8147 [X:[], M:[0.979, 1.1205, 0.979, 0.6807], q:[0.7801, 0.4398], qb:[0.5813, 0.4398], phi:[0.4398]] [X:[], M:[[-7, 1], [4, 0], [-11, -1], [6, 0]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_4$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_2$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ M_1M_4$, $ \phi_1^4$, $ M_2M_4$, $ M_4q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_1M_3$, $ M_3^2$, $ M_1^2$ $M_4\phi_1q_2^2$, $ M_4\phi_1\tilde{q}_2^2$ -2 t^2.04 + t^2.64 + 2*t^2.94 + t^3.36 + 2*t^3.66 + 2*t^3.96 + 2*t^4.08 + 2*t^4.38 + t^4.68 + t^4.81 + 2*t^4.98 + t^5.28 + t^5.4 + 2*t^5.7 + 3*t^5.87 - 2*t^6. + 2*t^6.13 + 2*t^6.3 + 5*t^6.6 + t^6.72 + t^6.85 + 2*t^6.89 + 4*t^7.02 + 3*t^7.32 + 2*t^7.45 + 2*t^7.62 + 4*t^7.74 + 6*t^7.92 + 3*t^8.17 + 2*t^8.34 + 2*t^8.47 + t^8.64 + 2*t^8.76 + 4*t^8.81 + 2*t^8.89 - 6*t^8.94 - t^4.32/y - t^6.36/y - (2*t^7.26)/y + (2*t^7.38)/y + t^7.68/y + (2*t^7.98)/y + t^8.28/y + (2*t^8.58)/y + (2*t^8.7)/y + t^8.87/y - t^4.32*y - t^6.36*y - 2*t^7.26*y + 2*t^7.38*y + t^7.68*y + 2*t^7.98*y + t^8.28*y + 2*t^8.58*y + 2*t^8.7*y + t^8.87*y g1^6*t^2.04 + t^2.64/g1^4 + t^2.94/(g1^11*g2) + (g2*t^2.94)/g1^7 + g1^4*t^3.36 + t^3.66/(g1^3*g2) + g1*g2*t^3.66 + t^3.96/(g1^10*g2^2) + (g2^2*t^3.96)/g1^2 + 2*g1^12*t^4.08 + (g1^5*t^4.38)/g2 + g1^9*g2*t^4.38 + g1^2*t^4.68 + g1^20*t^4.81 + t^4.98/(g1^5*g2) + (g2*t^4.98)/g1 + t^5.28/g1^8 + g1^10*t^5.4 + (g1^3*t^5.7)/g2 + g1^7*g2*t^5.7 + t^5.87/g1^18 + t^5.87/(g1^22*g2^2) + (g2^2*t^5.87)/g1^14 - 2*t^6. + 2*g1^18*t^6.13 + t^6.3/(g1^7*g2) + (g2*t^6.3)/g1^3 + t^6.6/g1^10 + (2*t^6.6)/(g1^14*g2^2) + (2*g2^2*t^6.6)/g1^6 + g1^8*t^6.72 + g1^26*t^6.85 + t^6.89/(g1^21*g2^3) + (g2^3*t^6.89)/g1^9 + (2*g1*t^7.02)/g2 + 2*g1^5*g2*t^7.02 + t^7.32/g1^2 + t^7.32/(g1^6*g2^2) + g1^2*g2^2*t^7.32 + 2*g1^16*t^7.45 + t^7.62/(g1^13*g2^3) + (g2^3*t^7.62)/g1 + (2*g1^9*t^7.74)/g2 + 2*g1^13*g2*t^7.74 + (2*t^7.92)/g1^12 + t^7.92/(g1^20*g2^4) + t^7.92/(g1^16*g2^2) + (g2^2*t^7.92)/g1^8 + (g2^4*t^7.92)/g1^4 - 2*g1^6*t^8.04 + (g1^2*t^8.04)/g2^2 + g1^10*g2^2*t^8.04 + 3*g1^24*t^8.17 + t^8.34/(g1^5*g2^3) + g1^7*g2^3*t^8.34 + (g1^17*t^8.47)/g2 + g1^21*g2*t^8.47 - t^8.64/g1^4 + t^8.64/(g1^8*g2^2) + g2^2*t^8.64 + (g1^10*t^8.76)/g2^2 + g1^18*g2^2*t^8.76 + t^8.81/(g1^33*g2^3) + t^8.81/(g1^29*g2) + (g2*t^8.81)/g1^25 + (g2^3*t^8.81)/g1^21 + 2*g1^32*t^8.89 - (3*t^8.94)/(g1^11*g2) - (3*g2*t^8.94)/g1^7 - t^4.32/(g1^2*y) - (g1^4*t^6.36)/y - t^7.26/(g1^13*g2*y) - (g2*t^7.26)/(g1^9*y) + (g1^5*t^7.38)/(g2*y) + (g1^9*g2*t^7.38)/y + (g1^2*t^7.68)/y + t^7.98/(g1^5*g2*y) + (g2*t^7.98)/(g1*y) + t^8.28/(g1^8*y) + t^8.58/(g1^15*g2*y) + (g2*t^8.58)/(g1^11*y) + (g1^3*t^8.7)/(g2*y) + (g1^7*g2*t^8.7)/y + t^8.87/(g1^18*y) - (t^4.32*y)/g1^2 - g1^4*t^6.36*y - (t^7.26*y)/(g1^13*g2) - (g2*t^7.26*y)/g1^9 + (g1^5*t^7.38*y)/g2 + g1^9*g2*t^7.38*y + g1^2*t^7.68*y + (t^7.98*y)/(g1^5*g2) + (g2*t^7.98*y)/g1 + (t^8.28*y)/g1^8 + (t^8.58*y)/(g1^15*g2) + (g2*t^8.58*y)/g1^11 + (g1^3*t^8.7*y)/g2 + g1^7*g2*t^8.7*y + (t^8.87*y)/g1^18


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
410 $\phi_1q_1^2$ + $ 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_1^2$ 0.67 0.8227 0.8144 [X:[], M:[1.0, 1.115, 0.9824, 0.6725], q:[0.7788, 0.4337], qb:[0.5663, 0.4513], phi:[0.4425]] t^2.02 + t^2.65 + t^2.95 + t^3. + t^3.35 + t^3.64 + t^3.69 + t^3.93 + 3*t^4.04 + t^4.33 + t^4.38 + t^4.67 + t^4.73 + t^4.96 + t^5.02 + t^5.31 + t^5.36 + t^5.65 + t^5.71 + t^5.89 + t^5.95 - t^6. - t^4.33/y - t^4.33*y detail
413 $\phi_1q_1^2$ + $ 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_4$ 0.63 0.78 0.8077 [X:[], M:[0.8, 1.2, 0.8, 0.8], q:[0.8, 0.4], qb:[0.8, 0.4], phi:[0.4]] 4*t^2.4 + 5*t^3.6 + 11*t^4.8 + 11*t^6. - t^4.2/y - t^4.2*y detail {a: 63/100, c: 39/50, M1: 4/5, M2: 6/5, M3: 4/5, M4: 4/5, q1: 4/5, q2: 2/5, qb1: 4/5, qb2: 2/5, phi1: 2/5}
411 $\phi_1q_1^2$ + $ 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$ 0.6814 0.8416 0.8096 [X:[], M:[0.9657, 1.1263, 0.9657, 0.6895, 0.8737], q:[0.7816, 0.4368], qb:[0.5974, 0.4368], phi:[0.4368]] t^2.07 + 2*t^2.62 + 2*t^2.9 + 2*t^3.66 + 2*t^3.93 + 2*t^4.14 + 2*t^4.41 + 2*t^4.69 + t^4.9 + 2*t^4.97 + 3*t^5.24 + 2*t^5.52 + 2*t^5.72 + 3*t^5.79 - 3*t^6. - t^4.31/y - t^4.31*y detail
414 $\phi_1q_1^2$ + $ 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_4q_1q_2$ 0.6566 0.8083 0.8123 [X:[], M:[0.8549, 1.1451, 0.9921, 0.7177], q:[0.7863, 0.496], qb:[0.6491, 0.3588], phi:[0.4274]] t^2.15 + 2*t^2.56 + t^2.98 + 3*t^3.44 + t^3.85 + t^4.26 + 3*t^4.31 + 3*t^4.72 + 3*t^5.13 + t^5.18 + t^5.54 + 2*t^5.59 + t^5.95 + 3*t^6. - t^4.28/y - t^4.28*y detail
415 $\phi_1q_1^2$ + $ 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_5\phi_1q_2^2$ 0.6912 0.864 0.8 [X:[], M:[0.9777, 1.1199, 0.9825, 0.6799, 0.6751], q:[0.78, 0.4425], qb:[0.5799, 0.4376], phi:[0.44]] t^2.03 + t^2.04 + t^2.64 + t^2.93 + t^2.95 + t^3.36 + t^3.65 + t^3.67 + t^3.95 + t^4.05 + t^4.06 + 2*t^4.08 + t^4.37 + t^4.39 + t^4.67 + t^4.68 + t^4.8 + t^4.96 + 2*t^4.97 + t^4.99 + t^5.28 + t^5.39 + t^5.4 + t^5.68 + 2*t^5.69 + t^5.71 + t^5.87 + t^5.88 + t^5.9 + t^5.97 - 2*t^6. - t^4.32/y - t^4.32*y detail
412 $\phi_1q_1^2$ + $ 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_5q_1\tilde{q}_2$ 0.6883 0.8554 0.8047 [X:[], M:[0.9936, 1.1195, 0.9686, 0.6793, 0.7674], q:[0.7799, 0.4277], qb:[0.5787, 0.4528], phi:[0.4402]] t^2.04 + t^2.3 + t^2.64 + t^2.91 + t^2.98 + t^3.36 + t^3.62 + t^3.89 + t^4.04 + 2*t^4.08 + 2*t^4.34 + t^4.42 + t^4.6 + t^4.68 + t^4.79 + 2*t^4.94 + t^5.02 + t^5.21 + 2*t^5.28 + t^5.4 + 2*t^5.66 + t^5.81 + t^5.89 + t^5.92 + t^5.96 - 2*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
169 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$ 0.6496 0.7822 0.8305 [X:[], M:[0.9769, 1.1214, 0.9769], q:[0.7803, 0.4393], qb:[0.5838, 0.4393], phi:[0.4393]] t^2.64 + 2*t^2.93 + t^3.36 + 2*t^3.66 + 3*t^3.95 + t^4.09 + 2*t^4.39 + t^4.82 + t^5.27 + 3*t^5.86 - 4*t^6. - t^4.32/y - t^4.32*y detail