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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
110 SU2adj1nf2 $\phi_1q_1^2$ + $ q_1q_2$ + $ \phi_1^2X_1$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ 0.4927 0.5714 0.8624 [X:[1.5228], M:[0.7159, 0.6962], q:[0.8807, 1.1193], qb:[0.5326, 0.5129], phi:[0.2386]] [X:[[0, 4]], M:[[0, -6], [2, -14]], q:[[0, 1], [0, -1]], qb:[[-1, 8], [1, 0]], phi:[[0, -2]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_1M_2$, $ M_1^2$, $ X_1$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1\tilde{q}_2^2$ . -2 t^2.09 + t^2.15 + t^3.14 + t^3.79 + t^4.18 + t^4.24 + t^4.3 + t^4.57 + t^5.23 + t^5.28 + t^5.88 - 2*t^6. - t^6.06 + 2*t^6.27 + t^6.32 + t^6.38 + t^6.44 - t^6.77 + t^6.93 + t^7.31 + t^7.37 + t^7.43 + t^7.59 + t^7.97 - 2*t^8.09 - 2*t^8.15 - t^8.21 + t^8.35 + t^8.36 + t^8.41 + t^8.47 - t^8.48 + t^8.53 + t^8.59 - 2*t^8.8 - 2*t^8.86 - t^8.8/y^2 - t^8.86/y^2 - t^3.72/y - t^5.8/y - t^5.86/y + t^7.24/y + t^7.57/y + t^7.63/y - t^7.89/y - t^7.95/y - t^8.01/y + t^8.23/y + t^8.28/y + t^8.88/y + t^8.94/y - t^3.72*y - t^5.8*y - t^5.86*y + t^7.24*y + t^7.57*y + t^7.63*y - t^7.89*y - t^7.95*y - t^8.01*y + t^8.23*y + t^8.28*y + t^8.88*y + t^8.94*y - t^8.8*y^2 - t^8.86*y^2 (g1^2*t^2.09)/g2^14 + t^2.15/g2^6 + g2^8*t^3.14 + (g1^2*t^3.79)/g2^2 + (g1^4*t^4.18)/g2^28 + (g1^2*t^4.24)/g2^20 + t^4.3/g2^12 + g2^4*t^4.57 + (g1^2*t^5.23)/g2^6 + g2^2*t^5.28 + (g1^4*t^5.88)/g2^16 - 2*t^6. - (g2^8*t^6.06)/g1^2 + (g1^6*t^6.27)/g2^42 + g2^16*t^6.27 + (g1^4*t^6.32)/g2^34 + (g1^2*t^6.38)/g2^26 + t^6.44/g2^18 - (g2^6*t^6.77)/g1^2 + g1^2*g2^6*t^6.93 + (g1^4*t^7.31)/g2^20 + (g1^2*t^7.37)/g2^12 + t^7.43/g2^4 + (g1^4*t^7.59)/g2^4 + (g1^6*t^7.97)/g2^30 - (2*g1^2*t^8.09)/g2^14 - (2*t^8.15)/g2^6 - (g2^2*t^8.21)/g1^2 + (g1^8*t^8.35)/g2^56 + g1^2*g2^2*t^8.36 + (g1^6*t^8.41)/g2^48 + (g1^4*t^8.47)/g2^40 - (g2^18*t^8.48)/g1^2 + (g1^2*t^8.53)/g2^32 + t^8.59/g2^24 - (2*g1^2*t^8.8)/g2^16 - (2*t^8.86)/g2^8 - (g1^2*t^8.8)/(g2^16*y^2) - t^8.86/(g2^8*y^2) - t^3.72/(g2^2*y) - (g1^2*t^5.8)/(g2^16*y) - t^5.86/(g2^8*y) + (g1^2*t^7.24)/(g2^20*y) + (g2^4*t^7.57)/y + (g2^12*t^7.63)/(g1^2*y) - (g1^4*t^7.89)/(g2^30*y) - (g1^2*t^7.95)/(g2^22*y) - t^8.01/(g2^14*y) + (g1^2*t^8.23)/(g2^6*y) + (g2^2*t^8.28)/y + (g1^4*t^8.88)/(g2^16*y) + (g1^2*t^8.94)/(g2^8*y) - (t^3.72*y)/g2^2 - (g1^2*t^5.8*y)/g2^16 - (t^5.86*y)/g2^8 + (g1^2*t^7.24*y)/g2^20 + g2^4*t^7.57*y + (g2^12*t^7.63*y)/g1^2 - (g1^4*t^7.89*y)/g2^30 - (g1^2*t^7.95*y)/g2^22 - (t^8.01*y)/g2^14 + (g1^2*t^8.23*y)/g2^6 + g2^2*t^8.28*y + (g1^4*t^8.88*y)/g2^16 + (g1^2*t^8.94*y)/g2^8 - (g1^2*t^8.8*y^2)/g2^16 - (t^8.86*y^2)/g2^8


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
176 $\phi_1q_1^2$ + $ q_1q_2$ + $ \phi_1^2X_1$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_1M_2$ 0.4135 0.4854 0.8518 [X:[1.3853], M:[0.922, 1.078], q:[0.8463, 1.1537], qb:[0.3073, 0.4634], phi:[0.3073]] t^2.31 + t^2.77 + t^3.23 + t^3.7 + t^4.16 + t^4.62 + t^5.08 + t^5.55 - t^6. - t^3.92/y - t^3.92*y detail
175 $\phi_1q_1^2$ + $ q_1q_2$ + $ \phi_1^2X_1$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2^2$ 0.4487 0.5156 0.8702 [X:[1.4646], M:[0.8031, 1.0], q:[0.8662, 1.1338], qb:[0.3662, 0.5631], phi:[0.2677]] t^2.41 + t^2.79 + t^3. + t^4.18 + t^4.39 + t^4.82 + t^5.2 + t^5.58 + t^5.79 - t^6. - t^3.8/y - t^3.8*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
10 SU2adj1nf1 $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1\tilde{q}_1$ 0.4927 0.5714 0.8624 [X:[1.5228], M:[0.6962, 0.7159], q:[0.5326], qb:[0.5129], phi:[0.2386]] t^2.09 + t^2.15 + t^3.14 + t^3.79 + t^4.18 + t^4.24 + t^4.3 + t^4.57 + t^5.23 + t^5.28 + t^5.88 - 2*t^6. - t^3.72/y - t^5.8/y - t^5.86/y - t^3.72*y - t^5.8*y - t^5.86*y detail


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
70 SU2adj1nf2 $\phi_1q_1^2$ + $ q_1q_2$ + $ \phi_1^2X_1$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ 0.4723 0.5327 0.8867 [X:[1.5173], M:[0.7241], q:[0.8793, 1.1207], qb:[0.5173, 0.5173], phi:[0.2414]] t^2.17 + t^3.1 + 2*t^3.83 + t^4.34 + t^4.55 + t^5.28 - 2*t^6. - t^3.72/y - t^5.9/y - t^3.72*y - t^5.9*y detail