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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
8384 Sp2adj1nf1 $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ 1.1425 1.27 0.8996 [X:[1.6533], M:[1.0401, 0.6934], q:[0.5666, 0.3933], qb:[], phi:[0.1734]] [X:[[4]], M:[[-12], [-8]], q:[[5], [7]], qb:[], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ \phi_1^4$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ M_2^2$, $ M_2\phi_1^4$, $ \phi_1^8$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ M_2\phi_1q_2^2$, $ \phi_1^5q_2^2$, $ X_1$, $ M_1M_2$, $ M_1\phi_1^4$, $ M_2\phi_1q_1q_2$, $ \phi_1^2q_2^4$ $M_2\phi_1^2q_1q_2$, $ M_1\phi_1q_2^2$, $ M_2\phi_1^3q_2^2$, $ \phi_1^7q_2^2$ 2 2*t^2.08 + t^2.88 + t^3.12 + t^3.4 + 2*t^3.92 + 3*t^4.16 + t^4.44 + 4*t^4.96 + 2*t^5.2 + t^5.48 + t^5.76 + 2*t^6. + 5*t^6.24 + t^6.28 + 3*t^6.8 + 6*t^7.04 + 3*t^7.28 + 3*t^7.32 + 6*t^7.84 + 4*t^8.08 + 7*t^8.32 + 4*t^8.36 - 4*t^8.6 + t^8.64 + 4*t^8.88 + t^8.08/y^2 - (2*t^8.6)/y^2 - t^3.52/y - t^4.56/y - (2*t^5.6)/y - t^6.4/y - (3*t^6.64)/y - t^6.92/y + t^7.16/y - t^7.44/y - (4*t^7.68)/y + t^7.96/y + (2*t^8.2)/y - (5*t^8.72)/y - t^3.52*y - t^4.56*y - 2*t^5.6*y - t^6.4*y - 3*t^6.64*y - t^6.92*y + t^7.16*y - t^7.44*y - 4*t^7.68*y + t^7.96*y + 2*t^8.2*y - 5*t^8.72*y + t^8.08*y^2 - 2*t^8.6*y^2 (2*t^2.08)/g1^8 + g1^12*t^2.88 + t^3.12/g1^12 + g1^10*t^3.4 + 2*g1^8*t^3.92 + (3*t^4.16)/g1^16 + g1^6*t^4.44 + 4*g1^4*t^4.96 + (2*t^5.2)/g1^20 + g1^2*t^5.48 + g1^24*t^5.76 + 2*t^6. + (5*t^6.24)/g1^24 + g1^22*t^6.28 + 3*g1^20*t^6.8 + (6*t^7.04)/g1^4 + (3*t^7.28)/g1^28 + 3*g1^18*t^7.32 + 6*g1^16*t^7.84 + (4*t^8.08)/g1^8 + (7*t^8.32)/g1^32 + 4*g1^14*t^8.36 - (4*t^8.6)/g1^10 + g1^36*t^8.64 + 4*g1^12*t^8.88 + t^8.08/(g1^8*y^2) - (2*t^8.6)/(g1^10*y^2) - t^3.52/(g1^2*y) - t^4.56/(g1^6*y) - (2*t^5.6)/(g1^10*y) - (g1^10*t^6.4)/y - (3*t^6.64)/(g1^14*y) - (g1^8*t^6.92)/y + t^7.16/(g1^16*y) - (g1^6*t^7.44)/y - (4*t^7.68)/(g1^18*y) + (g1^4*t^7.96)/y + (2*t^8.2)/(g1^20*y) - (5*t^8.72)/(g1^22*y) - (t^3.52*y)/g1^2 - (t^4.56*y)/g1^6 - (2*t^5.6*y)/g1^10 - g1^10*t^6.4*y - (3*t^6.64*y)/g1^14 - g1^8*t^6.92*y + (t^7.16*y)/g1^16 - g1^6*t^7.44*y - (4*t^7.68*y)/g1^18 + g1^4*t^7.96*y + (2*t^8.2*y)/g1^20 - (5*t^8.72*y)/g1^22 + (t^8.08*y^2)/g1^8 - (2*t^8.6*y^2)/g1^10


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
8515 $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ 1.1552 1.2908 0.895 [X:[1.662], M:[1.0139, 0.6759, 0.8449], q:[0.5775, 0.4086], qb:[], phi:[0.169]] 2*t^2.03 + t^2.53 + t^2.96 + t^3.04 + 2*t^3.97 + 3*t^4.06 + t^4.48 + 2*t^4.56 + 4*t^4.99 + 3*t^5.07 + t^5.58 + t^5.92 + 2*t^6. - t^3.51/y - t^4.52/y - (2*t^5.53)/y - t^3.51*y - t^4.52*y - 2*t^5.53*y detail
8517 $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1^2q_1q_2$ 1.1632 1.3098 0.8881 [X:[1.6545], M:[1.0364, 0.6909, 0.6909], q:[0.5682, 0.3955], qb:[], phi:[0.1727]] 3*t^2.07 + t^2.89 + t^3.11 + t^3.41 + t^3.93 + 6*t^4.15 + t^4.45 + 5*t^4.96 + 3*t^5.18 + 2*t^5.48 + t^5.78 + t^6. - t^3.52/y - t^4.55/y - (3*t^5.59)/y - t^3.52*y - t^4.55*y - 3*t^5.59*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
8203 Sp2adj1nf1 $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1q_1q_2$ 1.1219 1.2307 0.9116 [X:[1.6518], M:[1.0447], q:[0.5647, 0.3906], qb:[], phi:[0.1741]] t^2.09 + t^2.87 + t^3.13 + t^3.39 + 3*t^3.91 + t^4.18 + t^4.43 + 3*t^4.96 + t^5.22 + t^5.73 + t^6. - t^3.52/y - t^4.57/y - t^5.61/y - t^3.52*y - t^4.57*y - t^5.61*y detail