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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
5208 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_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_1\tilde{q}_1$ + $ M_8\phi_1q_1^2$ 0.7101 0.9182 0.7734 [X:[], M:[0.8157, 1.0614, 1.1843, 0.6928, 0.8157, 1.0391, 0.7151, 0.6928], q:[0.419, 0.7654], qb:[0.3967, 0.5419], phi:[0.4693]] [X:[], M:[[-12], [4], [12], [-20], [-12], [-30], [14], [-20]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_4$, $ M_8$, $ M_7$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_6$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_4M_8$, $ M_8^2$, $ M_4M_7$, $ M_7M_8$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_4$, $ M_4M_5$, $ M_1M_8$, $ M_5M_8$, $ M_1M_7$, $ M_5M_7$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_8\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_7\phi_1^2$, $ \phi_1q_1q_2$, $ M_4M_6$, $ M_6M_8$, $ M_2M_4$, $ M_6M_7$, $ M_2M_8$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_2M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_6$, $ M_5M_6$, $ M_4q_2\tilde{q}_1$, $ M_8q_2\tilde{q}_1$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ M_7q_2\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$, $ M_8\phi_1\tilde{q}_1^2$, $ M_6\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ M_7\phi_1\tilde{q}_1^2$ . -2 2*t^2.08 + t^2.15 + 2*t^2.45 + t^2.82 + t^3.12 + t^3.18 + t^3.49 + t^3.79 + 3*t^4.16 + 3*t^4.22 + 2*t^4.29 + 4*t^4.53 + 2*t^4.59 + t^4.66 + 5*t^4.89 + t^4.96 + 2*t^5.2 + 5*t^5.26 + t^5.33 + 3*t^5.56 + 3*t^5.63 + 2*t^5.87 + 3*t^5.93 - 2*t^6. - t^6.07 + 7*t^6.23 + 6*t^6.3 + 3*t^6.37 + t^6.44 + 8*t^6.6 + 5*t^6.67 + 4*t^6.74 + t^6.8 + t^6.91 + 9*t^6.97 + 3*t^7.04 + t^7.11 + 4*t^7.27 + 12*t^7.34 + 3*t^7.41 + t^7.47 + t^7.58 + 5*t^7.64 + 9*t^7.71 + 2*t^7.78 - 2*t^7.84 + 3*t^7.94 + 8*t^8.01 + t^8.08 - 6*t^8.15 - 2*t^8.21 + 11*t^8.31 + 14*t^8.38 + 2*t^8.45 - 2*t^8.51 + t^8.58 + 16*t^8.68 + 11*t^8.75 + t^8.82 + 2*t^8.88 + 2*t^8.95 + 2*t^8.98 - t^4.41/y - (2*t^6.49)/y - t^6.55/y - t^6.85/y + t^7.16/y + (2*t^7.22)/y + t^7.29/y + (3*t^7.53)/y + (2*t^7.59)/y + (3*t^7.89)/y + (2*t^7.96)/y + (2*t^8.2)/y + (6*t^8.26)/y + (3*t^8.33)/y + t^8.56/y + t^8.63/y - t^8.7/y + (2*t^8.87)/y + (2*t^8.93)/y - t^4.41*y - 2*t^6.49*y - t^6.55*y - t^6.85*y + t^7.16*y + 2*t^7.22*y + t^7.29*y + 3*t^7.53*y + 2*t^7.59*y + 3*t^7.89*y + 2*t^7.96*y + 2*t^8.2*y + 6*t^8.26*y + 3*t^8.33*y + t^8.56*y + t^8.63*y - t^8.7*y + 2*t^8.87*y + 2*t^8.93*y (2*t^2.08)/g1^20 + g1^14*t^2.15 + (2*t^2.45)/g1^12 + t^2.82/g1^4 + t^3.12/g1^30 + g1^4*t^3.18 + t^3.49/g1^22 + t^3.79/g1^48 + (3*t^4.16)/g1^40 + (3*t^4.22)/g1^6 + 2*g1^28*t^4.29 + (4*t^4.53)/g1^32 + 2*g1^2*t^4.59 + g1^36*t^4.66 + (5*t^4.89)/g1^24 + g1^10*t^4.96 + (2*t^5.2)/g1^50 + (5*t^5.26)/g1^16 + g1^18*t^5.33 + (3*t^5.56)/g1^42 + (3*t^5.63)/g1^8 + (2*t^5.87)/g1^68 + (3*t^5.93)/g1^34 - 2*t^6. - g1^34*t^6.07 + (7*t^6.23)/g1^60 + (6*t^6.3)/g1^26 + 3*g1^8*t^6.37 + g1^42*t^6.44 + (8*t^6.6)/g1^52 + (5*t^6.67)/g1^18 + 4*g1^16*t^6.74 + g1^50*t^6.8 + t^6.91/g1^78 + (9*t^6.97)/g1^44 + (3*t^7.04)/g1^10 + g1^24*t^7.11 + (4*t^7.27)/g1^70 + (12*t^7.34)/g1^36 + (3*t^7.41)/g1^2 + g1^32*t^7.47 + t^7.58/g1^96 + (5*t^7.64)/g1^62 + (9*t^7.71)/g1^28 + 2*g1^6*t^7.78 - 2*g1^40*t^7.84 + (3*t^7.94)/g1^88 + (8*t^8.01)/g1^54 + t^8.08/g1^20 - 6*g1^14*t^8.15 - 2*g1^48*t^8.21 + (11*t^8.31)/g1^80 + (14*t^8.38)/g1^46 + (2*t^8.45)/g1^12 - 2*g1^22*t^8.51 + g1^56*t^8.58 + (16*t^8.68)/g1^72 + (11*t^8.75)/g1^38 + t^8.82/g1^4 + 2*g1^30*t^8.88 + 2*g1^64*t^8.95 + (2*t^8.98)/g1^98 - t^4.41/(g1^2*y) - (2*t^6.49)/(g1^22*y) - (g1^12*t^6.55)/y - t^6.85/(g1^14*y) + t^7.16/(g1^40*y) + (2*t^7.22)/(g1^6*y) + (g1^28*t^7.29)/y + (3*t^7.53)/(g1^32*y) + (2*g1^2*t^7.59)/y + (3*t^7.89)/(g1^24*y) + (2*g1^10*t^7.96)/y + (2*t^8.2)/(g1^50*y) + (6*t^8.26)/(g1^16*y) + (3*g1^18*t^8.33)/y + t^8.56/(g1^42*y) + t^8.63/(g1^8*y) - (g1^26*t^8.7)/y + (2*t^8.87)/(g1^68*y) + (2*t^8.93)/(g1^34*y) - (t^4.41*y)/g1^2 - (2*t^6.49*y)/g1^22 - g1^12*t^6.55*y - (t^6.85*y)/g1^14 + (t^7.16*y)/g1^40 + (2*t^7.22*y)/g1^6 + g1^28*t^7.29*y + (3*t^7.53*y)/g1^32 + 2*g1^2*t^7.59*y + (3*t^7.89*y)/g1^24 + 2*g1^10*t^7.96*y + (2*t^8.2*y)/g1^50 + (6*t^8.26*y)/g1^16 + 3*g1^18*t^8.33*y + (t^8.56*y)/g1^42 + (t^8.63*y)/g1^8 - g1^26*t^8.7*y + (2*t^8.87*y)/g1^68 + (2*t^8.93*y)/g1^34


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
3536 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_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_1\tilde{q}_1$ 0.6894 0.878 0.7852 [X:[], M:[0.8172, 1.0609, 1.1828, 0.6954, 0.8172, 1.043, 0.7132], q:[0.4175, 0.7652], qb:[0.3997, 0.5394], phi:[0.4695]] t^2.09 + t^2.14 + 2*t^2.45 + t^2.82 + t^3.13 + t^3.18 + t^3.49 + t^3.81 + t^3.91 + t^4.17 + 2*t^4.23 + 2*t^4.28 + 2*t^4.54 + 2*t^4.59 + t^4.65 + 4*t^4.9 + t^4.96 + t^5.22 + 4*t^5.27 + t^5.32 + 2*t^5.58 + 3*t^5.63 + t^5.89 + 3*t^5.95 - t^6. - t^4.41/y - t^4.41*y detail