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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
47095 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_5\tilde{q}_1\tilde{q}_2$ 0.688 0.8543 0.8054 [X:[], M:[0.9811, 0.9811, 1.1195, 0.6792, 0.7799], q:[0.5786, 0.4403], qb:[0.4403, 0.7799], phi:[0.4403]] [X:[], M:[[-9], [-9], [4], [6], [1]], q:[[11], [-2]], qb:[[-2], [1]], phi:[[-2]]] 1 {a: 30921/44944, c: 19197/22472, M1: 52/53, M2: 52/53, M3: 178/159, M4: 36/53, M5: 124/159, q1: 92/159, q2: 70/159, qb1: 70/159, qb2: 124/159, phi1: 70/159}
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_4$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ q_1\tilde{q}_2$, $ M_4M_5$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ M_4\phi_1^2$, $ \phi_1q_1^2$, $ M_1M_4$, $ M_2M_4$, $ M_5\phi_1^2$, $ M_1M_5$, $ M_2M_5$, $ \phi_1^4$, $ M_3M_4$, $ M_3M_5$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$ $M_4\phi_1q_2^2$, $ M_4\phi_1\tilde{q}_1^2$ -1 t^2.04 + t^2.34 + t^2.64 + 2*t^2.94 + t^3.36 + t^3.66 + 2*t^3.96 + 2*t^4.08 + 3*t^4.38 + 2*t^4.68 + t^4.79 + 3*t^4.98 + 3*t^5.28 + t^5.4 + 2*t^5.7 + 3*t^5.89 - t^6. + 2*t^6.11 + 3*t^6.3 + 2*t^6.42 + 3*t^6.6 + 4*t^6.72 + t^6.83 + 2*t^6.91 + 5*t^7.02 + t^7.13 + 4*t^7.32 + 2*t^7.43 + 3*t^7.62 + 3*t^7.74 + 6*t^7.92 + 3*t^8.15 + 3*t^8.23 + 3*t^8.45 + 2*t^8.64 + 4*t^8.75 + 4*t^8.83 + 2*t^8.87 - 4*t^8.94 - t^4.32/y - t^6.36/y - t^6.66/y - (2*t^7.26)/y + (3*t^7.38)/y + t^7.68/y + (4*t^7.98)/y + (3*t^8.28)/y + (2*t^8.58)/y + t^8.7/y + t^8.89/y - t^4.32*y - t^6.36*y - t^6.66*y - 2*t^7.26*y + 3*t^7.38*y + t^7.68*y + 4*t^7.98*y + 3*t^8.28*y + 2*t^8.58*y + t^8.7*y + t^8.89*y g1^6*t^2.04 + g1*t^2.34 + t^2.64/g1^4 + (2*t^2.94)/g1^9 + g1^4*t^3.36 + t^3.66/g1 + (2*t^3.96)/g1^6 + 2*g1^12*t^4.08 + 3*g1^7*t^4.38 + 2*g1^2*t^4.68 + g1^20*t^4.79 + (3*t^4.98)/g1^3 + (3*t^5.28)/g1^8 + g1^10*t^5.4 + 2*g1^5*t^5.7 + (3*t^5.89)/g1^18 - t^6. + 2*g1^18*t^6.11 + (3*t^6.3)/g1^5 + 2*g1^13*t^6.42 + (3*t^6.6)/g1^10 + 4*g1^8*t^6.72 + g1^26*t^6.83 + (2*t^6.91)/g1^15 + 5*g1^3*t^7.02 + g1^21*t^7.13 + (4*t^7.32)/g1^2 + 2*g1^16*t^7.43 + (3*t^7.62)/g1^7 + 3*g1^11*t^7.74 + (6*t^7.92)/g1^12 + 3*g1^24*t^8.15 + (3*t^8.23)/g1^17 + 3*g1^19*t^8.45 + (2*t^8.64)/g1^4 + 4*g1^14*t^8.75 + (4*t^8.83)/g1^27 + 2*g1^32*t^8.87 - (4*t^8.94)/g1^9 - t^4.32/(g1^2*y) - (g1^4*t^6.36)/y - t^6.66/(g1*y) - (2*t^7.26)/(g1^11*y) + (3*g1^7*t^7.38)/y + (g1^2*t^7.68)/y + (4*t^7.98)/(g1^3*y) + (3*t^8.28)/(g1^8*y) + (2*t^8.58)/(g1^13*y) + (g1^5*t^8.7)/y + t^8.89/(g1^18*y) - (t^4.32*y)/g1^2 - g1^4*t^6.36*y - (t^6.66*y)/g1 - (2*t^7.26*y)/g1^11 + 3*g1^7*t^7.38*y + g1^2*t^7.68*y + (4*t^7.98*y)/g1^3 + (3*t^8.28*y)/g1^8 + (2*t^8.58*y)/g1^13 + g1^5*t^8.7*y + (t^8.89*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
52086 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_3M_6$ 0.699 0.8728 0.8008 [X:[], M:[0.9679, 0.9679, 1.1254, 0.6881, 0.7813, 0.8746], q:[0.5948, 0.4373], qb:[0.4373, 0.7813], 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
55468 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_4M_6$ 0.6672 0.8135 0.8202 [X:[], M:[0.9793, 0.9793, 1.1203, 0.6805, 0.7801, 1.3195], q:[0.5809, 0.4398], qb:[0.4398, 0.7801], phi:[0.4398]] t^2.34 + t^2.64 + 2*t^2.94 + t^3.36 + t^3.66 + 3*t^3.96 + t^4.08 + 2*t^4.38 + t^4.68 + t^4.8 + t^4.98 + 3*t^5.28 + t^5.7 + 3*t^5.88 - 3*t^6. - t^4.32/y - t^4.32*y detail
55530 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ 0.7088 0.8952 0.7918 [X:[], M:[0.9827, 0.9827, 1.1188, 0.6782, 0.7797, 0.6782], q:[0.5767, 0.4406], qb:[0.4406, 0.7797], phi:[0.4406]] 2*t^2.03 + t^2.34 + t^2.64 + 2*t^2.95 + t^3.36 + t^3.66 + t^3.97 + 4*t^4.07 + 4*t^4.37 + 3*t^4.68 + t^4.78 + 5*t^4.98 + 3*t^5.29 + 2*t^5.39 + 3*t^5.7 + 3*t^5.9 - 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
46667 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ 0.6883 0.8554 0.8047 [X:[], M:[0.9686, 0.9936, 1.1195, 0.6793, 0.7674], q:[0.5787, 0.4528], qb:[0.4277, 0.7799], 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