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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
845 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_7$ + $ M_4M_8$ 0.7418 0.8996 0.8246 [X:[], M:[0.8609, 1.1769, 0.7854, 0.8609, 0.7854, 0.7854, 1.1391, 1.1391], q:[0.5318, 0.6073], qb:[0.6073, 0.6073], phi:[0.4116]] [X:[], M:[[-4, -4, 0, 0], [2, 2, 2, 2], [0, 0, -4, -4], [-4, 0, -4, 0], [0, -4, 0, -4], [0, -4, -4, 0], [4, 4, 0, 0], [4, 0, 4, 0]], q:[[4, 0, 0, 0], [0, 4, 0, 0]], qb:[[0, 0, 4, 0], [0, 0, 0, 4]], phi:[[-1, -1, -1, -1]]] 4
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_6$, $ M_5$, $ M_3$, $ M_7$, $ M_8$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_6^2$, $ M_5^2$, $ M_3^2$, $ M_3M_5$, $ M_3M_6$, $ M_5M_6$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_6M_8$, $ M_5q_1\tilde{q}_2$, $ M_6M_7$, $ M_5M_7$, $ M_3M_8$, $ M_3M_7$, $ M_5M_8$, $ M_6q_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_5$, $ M_2M_6$ . -10 3*t^2.36 + 3*t^3.42 + t^3.53 + t^4.43 + 3*t^4.65 + 6*t^4.71 + 6*t^4.88 + 6*t^5.77 + 3*t^5.89 - 10*t^6. - 3*t^6.23 + 3*t^6.78 + 6*t^6.83 + 3*t^6.95 + 6*t^7.01 + 10*t^7.07 + 9*t^7.23 - 3*t^7.46 + 3*t^7.84 + 6*t^8.07 + 9*t^8.13 + 6*t^8.24 + 9*t^8.3 - 24*t^8.36 - 3*t^8.52 - 6*t^8.58 + t^8.81 + t^8.85 - t^4.23/y - (3*t^6.59)/y + (3*t^7.71)/y + (3*t^7.88)/y + (9*t^8.77)/y + (3*t^8.89)/y - (6*t^8.95)/y - t^4.23*y - 3*t^6.59*y + 3*t^7.71*y + 3*t^7.88*y + 9*t^8.77*y + 3*t^8.89*y - 6*t^8.95*y t^2.36/(g2^4*g3^4) + t^2.36/(g2^4*g4^4) + t^2.36/(g3^4*g4^4) + g1^4*g2^4*t^3.42 + g1^4*g3^4*t^3.42 + g1^4*g4^4*t^3.42 + g1^2*g2^2*g3^2*g4^2*t^3.53 + (g1^7*t^4.43)/(g2*g3*g4) + (g1^3*g2^3*t^4.65)/(g3*g4) + (g1^3*g3^3*t^4.65)/(g2*g4) + (g1^3*g4^3*t^4.65)/(g2*g3) + t^4.71/(g2^8*g3^8) + t^4.71/(g2^8*g4^8) + t^4.71/(g3^8*g4^8) + t^4.71/(g2^4*g3^4*g4^8) + t^4.71/(g2^4*g3^8*g4^4) + t^4.71/(g2^8*g3^4*g4^4) + (g2^7*t^4.88)/(g1*g3*g4) + (g2^3*g3^3*t^4.88)/(g1*g4) + (g3^7*t^4.88)/(g1*g2*g4) + (g2^3*g4^3*t^4.88)/(g1*g3) + (g3^3*g4^3*t^4.88)/(g1*g2) + (g4^7*t^4.88)/(g1*g2*g3) + (g1^4*t^5.77)/g2^4 + (g1^4*t^5.77)/g3^4 + (g1^4*t^5.77)/g4^4 + (g1^4*g2^4*t^5.77)/(g3^4*g4^4) + (g1^4*g3^4*t^5.77)/(g2^4*g4^4) + (g1^4*g4^4*t^5.77)/(g2^4*g3^4) + (g1^2*g2^2*t^5.89)/(g3^2*g4^2) + (g1^2*g3^2*t^5.89)/(g2^2*g4^2) + (g1^2*g4^2*t^5.89)/(g2^2*g3^2) - 4*t^6. - (g2^4*t^6.)/g3^4 - (g3^4*t^6.)/g2^4 - (g2^4*t^6.)/g4^4 - (g3^4*t^6.)/g4^4 - (g4^4*t^6.)/g2^4 - (g4^4*t^6.)/g3^4 - (g2^4*t^6.23)/g1^4 - (g3^4*t^6.23)/g1^4 - (g4^4*t^6.23)/g1^4 + (g1^7*t^6.78)/(g2*g3^5*g4^5) + (g1^7*t^6.78)/(g2^5*g3*g4^5) + (g1^7*t^6.78)/(g2^5*g3^5*g4) + g1^8*g2^8*t^6.83 + g1^8*g2^4*g3^4*t^6.83 + g1^8*g3^8*t^6.83 + g1^8*g2^4*g4^4*t^6.83 + g1^8*g3^4*g4^4*t^6.83 + g1^8*g4^8*t^6.83 + g1^6*g2^6*g3^2*g4^2*t^6.95 + g1^6*g2^2*g3^6*g4^2*t^6.95 + g1^6*g2^2*g3^2*g4^6*t^6.95 + (g1^3*g2^3*t^7.01)/(g3^5*g4^5) + (g1^3*t^7.01)/(g2*g3*g4^5) + (g1^3*g3^3*t^7.01)/(g2^5*g4^5) + (g1^3*t^7.01)/(g2*g3^5*g4) + (g1^3*t^7.01)/(g2^5*g3*g4) + (g1^3*g4^3*t^7.01)/(g2^5*g3^5) + t^7.07/(g2^12*g3^12) + t^7.07/(g2^12*g4^12) + t^7.07/(g3^12*g4^12) + t^7.07/(g2^4*g3^8*g4^12) + t^7.07/(g2^8*g3^4*g4^12) + t^7.07/(g2^4*g3^12*g4^8) + t^7.07/(g2^8*g3^8*g4^8) + t^7.07/(g2^12*g3^4*g4^8) + t^7.07/(g2^8*g3^12*g4^4) + t^7.07/(g2^12*g3^8*g4^4) + (g2^7*t^7.23)/(g1*g3^5*g4^5) + (g2^3*t^7.23)/(g1*g3*g4^5) + (g3^3*t^7.23)/(g1*g2*g4^5) + (g3^7*t^7.23)/(g1*g2^5*g4^5) + (g2^3*t^7.23)/(g1*g3^5*g4) + (g3^3*t^7.23)/(g1*g2^5*g4) + (g4^3*t^7.23)/(g1*g2*g3^5) + (g4^3*t^7.23)/(g1*g2^5*g3) + (g4^7*t^7.23)/(g1*g2^5*g3^5) - (g2^3*t^7.46)/(g1^5*g3*g4) - (g3^3*t^7.46)/(g1^5*g2*g4) - (g4^3*t^7.46)/(g1^5*g2*g3) + (g1^11*g2^3*t^7.84)/(g3*g4) + (g1^11*g3^3*t^7.84)/(g2*g4) + (g1^11*g4^3*t^7.84)/(g2*g3) + (g1^7*g2^7*t^8.07)/(g3*g4) + (g1^7*g2^3*g3^3*t^8.07)/g4 + (g1^7*g3^7*t^8.07)/(g2*g4) + (g1^7*g2^3*g4^3*t^8.07)/g3 + (g1^7*g3^3*g4^3*t^8.07)/g2 + (g1^7*g4^7*t^8.07)/(g2*g3) + (g1^4*t^8.13)/(g2^4*g3^8) + (g1^4*t^8.13)/(g2^8*g3^4) + (g1^4*t^8.13)/(g2^4*g4^8) + (g1^4*g2^4*t^8.13)/(g3^8*g4^8) + (g1^4*t^8.13)/(g3^4*g4^8) + (g1^4*g3^4*t^8.13)/(g2^8*g4^8) + (g1^4*t^8.13)/(g2^8*g4^4) + (g1^4*t^8.13)/(g3^8*g4^4) + (g1^4*g4^4*t^8.13)/(g2^8*g3^8) + (g1^2*g2^2*t^8.24)/(g3^6*g4^6) + (g1^2*t^8.24)/(g2^2*g3^2*g4^6) + (g1^2*g3^2*t^8.24)/(g2^6*g4^6) + (g1^2*t^8.24)/(g2^2*g3^6*g4^2) + (g1^2*t^8.24)/(g2^6*g3^2*g4^2) + (g1^2*g4^2*t^8.24)/(g2^6*g3^6) + (g1^3*g2^11*t^8.3)/(g3*g4) + (g1^3*g2^7*g3^3*t^8.3)/g4 + (g1^3*g2^3*g3^7*t^8.3)/g4 + (g1^3*g3^11*t^8.3)/(g2*g4) + (g1^3*g2^7*g4^3*t^8.3)/g3 + (g1^3*g3^7*g4^3*t^8.3)/g2 + (g1^3*g2^3*g4^7*t^8.3)/g3 + (g1^3*g3^3*g4^7*t^8.3)/g2 + (g1^3*g4^11*t^8.3)/(g2*g3) - t^8.36/g2^8 - t^8.36/g3^8 - (5*t^8.36)/(g2^4*g3^4) - t^8.36/g4^8 - (g2^4*t^8.36)/(g3^4*g4^8) - (g3^4*t^8.36)/(g2^4*g4^8) - (5*t^8.36)/(g2^4*g4^4) - (g2^4*t^8.36)/(g3^8*g4^4) - (5*t^8.36)/(g3^4*g4^4) - (g3^4*t^8.36)/(g2^8*g4^4) - (g4^4*t^8.36)/(g2^4*g3^8) - (g4^4*t^8.36)/(g2^8*g3^4) - (g2^7*g3^3*g4^3*t^8.52)/g1 - (g2^3*g3^7*g4^3*t^8.52)/g1 - (g2^3*g3^3*g4^7*t^8.52)/g1 - t^8.58/(g1^4*g2^4) - t^8.58/(g1^4*g3^4) - t^8.58/(g1^4*g4^4) - (g2^4*t^8.58)/(g1^4*g3^4*g4^4) - (g3^4*t^8.58)/(g1^4*g2^4*g4^4) - (g4^4*t^8.58)/(g1^4*g2^4*g3^4) + t^8.81/g1^8 + (g1^14*t^8.85)/(g2^2*g3^2*g4^2) - t^4.23/(g1*g2*g3*g4*y) - t^6.59/(g1*g2*g3^5*g4^5*y) - t^6.59/(g1*g2^5*g3*g4^5*y) - t^6.59/(g1*g2^5*g3^5*g4*y) + t^7.71/(g2^4*g3^4*g4^8*y) + t^7.71/(g2^4*g3^8*g4^4*y) + t^7.71/(g2^8*g3^4*g4^4*y) + (g2^3*g3^3*t^7.88)/(g1*g4*y) + (g2^3*g4^3*t^7.88)/(g1*g3*y) + (g3^3*g4^3*t^7.88)/(g1*g2*y) + (2*g1^4*t^8.77)/(g2^4*y) + (2*g1^4*t^8.77)/(g3^4*y) + (2*g1^4*t^8.77)/(g4^4*y) + (g1^4*g2^4*t^8.77)/(g3^4*g4^4*y) + (g1^4*g3^4*t^8.77)/(g2^4*g4^4*y) + (g1^4*g4^4*t^8.77)/(g2^4*g3^4*y) + (g1^2*g2^2*t^8.89)/(g3^2*g4^2*y) + (g1^2*g3^2*t^8.89)/(g2^2*g4^2*y) + (g1^2*g4^2*t^8.89)/(g2^2*g3^2*y) - t^8.95/(g1*g2*g3^9*g4^9*y) - t^8.95/(g1*g2^5*g3^5*g4^9*y) - t^8.95/(g1*g2^9*g3*g4^9*y) - t^8.95/(g1*g2^5*g3^9*g4^5*y) - t^8.95/(g1*g2^9*g3^5*g4^5*y) - t^8.95/(g1*g2^9*g3^9*g4*y) - (t^4.23*y)/(g1*g2*g3*g4) - (t^6.59*y)/(g1*g2*g3^5*g4^5) - (t^6.59*y)/(g1*g2^5*g3*g4^5) - (t^6.59*y)/(g1*g2^5*g3^5*g4) + (t^7.71*y)/(g2^4*g3^4*g4^8) + (t^7.71*y)/(g2^4*g3^8*g4^4) + (t^7.71*y)/(g2^8*g3^4*g4^4) + (g2^3*g3^3*t^7.88*y)/(g1*g4) + (g2^3*g4^3*t^7.88*y)/(g1*g3) + (g3^3*g4^3*t^7.88*y)/(g1*g2) + (2*g1^4*t^8.77*y)/g2^4 + (2*g1^4*t^8.77*y)/g3^4 + (2*g1^4*t^8.77*y)/g4^4 + (g1^4*g2^4*t^8.77*y)/(g3^4*g4^4) + (g1^4*g3^4*t^8.77*y)/(g2^4*g4^4) + (g1^4*g4^4*t^8.77*y)/(g2^4*g3^4) + (g1^2*g2^2*t^8.89*y)/(g3^2*g4^2) + (g1^2*g3^2*t^8.89*y)/(g2^2*g4^2) + (g1^2*g4^2*t^8.89*y)/(g2^2*g3^2) - (t^8.95*y)/(g1*g2*g3^9*g4^9) - (t^8.95*y)/(g1*g2^5*g3^5*g4^9) - (t^8.95*y)/(g1*g2^9*g3*g4^9) - (t^8.95*y)/(g1*g2^5*g3^9*g4^5) - (t^8.95*y)/(g1*g2^9*g3^5*g4^5) - (t^8.95*y)/(g1*g2^9*g3^9*g4)


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


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
536 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_7$ 0.7566 0.9235 0.8193 [X:[], M:[0.8325, 1.2021, 0.7634, 0.797, 0.7989, 0.7634, 1.1675], q:[0.5669, 0.6005], qb:[0.6361, 0.6005], phi:[0.399]] 2*t^2.29 + t^2.39 + t^2.4 + 2*t^3.5 + t^3.61 + 3*t^4.58 + t^4.6 + 2*t^4.68 + 2*t^4.69 + 2*t^4.7 + t^4.78 + 2*t^4.79 + 3*t^4.8 + t^4.81 + 2*t^4.91 + t^5.01 + 3*t^5.79 + 2*t^5.9 - 4*t^6. - t^4.2/y - t^4.2*y detail