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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
45229 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ q_1^3q_2$ + $ M_2\phi_1^2$ + $ M_3q_1^2$ 1.7886 1.8941 0.9443 [X:[], M:[0.7845, 1.3054, 0.9581], q:[0.5209, 0.4372], qb:[], phi:[0.3473]] [X:[], M:[[7], [4], [6]], q:[[-3], [9]], qb:[], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_1$, $ q_2^2$, $ M_3$, $ q_1q_2$, $ \phi_1^2q_2$, $ M_2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_1^2$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ M_1q_2^2$, $ \phi_1^2q_1^2$, $ M_1M_3$, $ M_1q_1q_2$, $ q_2^4$, $ M_3q_2^2$, $ q_1q_2^3$, $ M_3^2$, $ M_3q_1q_2$, $ q_1^2q_2^2$ $\phi_1^3q_1q_2$ -1 t^2.35 + t^2.62 + 2*t^2.87 + t^3.4 + 2*t^3.92 + t^4.17 + 2*t^4.71 + t^4.96 + t^4.98 + t^5.21 + 2*t^5.23 + t^5.25 + 2*t^5.5 + 3*t^5.75 - t^6. + t^6.02 - t^6.25 + 4*t^6.27 + 2*t^6.54 - t^6.77 + 5*t^6.79 + t^7.04 + 2*t^7.06 - t^7.29 + 3*t^7.31 + 2*t^7.33 + 2*t^7.56 + 5*t^7.58 + t^7.6 + 4*t^7.83 + 2*t^7.85 + t^7.87 + 3*t^8.08 + 4*t^8.1 + 2*t^8.12 - t^8.35 + 3*t^8.37 - t^8.6 + 6*t^8.62 + t^8.64 - 2*t^8.87 + 4*t^8.89 - t^4.04/y - t^5.35/y - t^5.6/y - t^6.13/y - t^6.4/y - t^6.66/y - (2*t^6.92)/y - t^7.44/y - t^7.71/y - (2*t^7.96)/y - t^8.21/y - t^8.23/y - (2*t^8.48)/y + (2*t^8.5)/y + t^8.73/y - t^8.75/y - t^4.04*y - t^5.35*y - t^5.6*y - t^6.13*y - t^6.4*y - t^6.66*y - 2*t^6.92*y - t^7.44*y - t^7.71*y - 2*t^7.96*y - t^8.21*y - t^8.23*y - 2*t^8.48*y + 2*t^8.5*y + t^8.73*y - t^8.75*y g1^7*t^2.35 + g1^18*t^2.62 + 2*g1^6*t^2.87 + g1^5*t^3.4 + 2*g1^4*t^3.92 + t^4.17/g1^8 + 2*g1^14*t^4.71 + g1^2*t^4.96 + g1^25*t^4.98 + t^5.21/g1^10 + 2*g1^13*t^5.23 + g1^36*t^5.25 + 2*g1^24*t^5.5 + 3*g1^12*t^5.75 - t^6. + g1^23*t^6.02 - t^6.25/g1^12 + 4*g1^11*t^6.27 + 2*g1^22*t^6.54 - t^6.77/g1^13 + 5*g1^10*t^6.79 + t^7.04/g1^2 + 2*g1^21*t^7.06 - t^7.29/g1^14 + 3*g1^9*t^7.31 + 2*g1^32*t^7.33 + (2*t^7.56)/g1^3 + 5*g1^20*t^7.58 + g1^43*t^7.6 + 4*g1^8*t^7.83 + 2*g1^31*t^7.85 + g1^54*t^7.87 + (3*t^8.08)/g1^4 + 4*g1^19*t^8.1 + 2*g1^42*t^8.12 - g1^7*t^8.35 + 3*g1^30*t^8.37 - t^8.6/g1^5 + 6*g1^18*t^8.62 + g1^41*t^8.64 - 2*g1^6*t^8.87 + 4*g1^29*t^8.89 - t^4.04/(g1^2*y) - (g1^7*t^5.35)/y - t^5.6/(g1^5*y) - t^6.13/(g1^6*y) - (g1^5*t^6.4)/y - (g1^16*t^6.66)/y - (2*g1^4*t^6.92)/y - (g1^3*t^7.44)/y - (g1^14*t^7.71)/y - (2*g1^2*t^7.96)/y - t^8.21/(g1^10*y) - (g1^13*t^8.23)/y - (2*g1*t^8.48)/y + (2*g1^24*t^8.5)/y + t^8.73/(g1^11*y) - (g1^12*t^8.75)/y - (t^4.04*y)/g1^2 - g1^7*t^5.35*y - (t^5.6*y)/g1^5 - (t^6.13*y)/g1^6 - g1^5*t^6.4*y - g1^16*t^6.66*y - 2*g1^4*t^6.92*y - g1^3*t^7.44*y - g1^14*t^7.71*y - 2*g1^2*t^7.96*y - (t^8.21*y)/g1^10 - g1^13*t^8.23*y - 2*g1*t^8.48*y + 2*g1^24*t^8.5*y + (t^8.73*y)/g1^11 - g1^12*t^8.75*y


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
45309 $M_1\phi_1^2q_1$ + $ q_1^3q_2$ + $ M_2\phi_1^2$ + $ M_3q_1^2$ + $ M_4\phi_1^2q_2$ 1.8005 1.9131 0.9411 [X:[], M:[0.7902, 1.3087, 0.9631, 0.8641], q:[0.5185, 0.4446], qb:[], phi:[0.3456]] t^2.37 + t^2.59 + t^2.67 + 2*t^2.89 + 2*t^3.93 + t^4.15 + 2*t^4.74 + 2*t^4.96 + t^5.04 + 2*t^5.18 + 3*t^5.26 + t^5.34 + 2*t^5.48 + 2*t^5.56 + 2*t^5.78 - t^6. - t^4.04/y - t^5.37/y - t^5.59/y - t^4.04*y - t^5.37*y - 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
45061 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ q_1^3q_2$ + $ M_2\phi_1^2$ 1.785 1.8864 0.9463 [X:[], M:[0.7927, 1.3101], q:[0.5174, 0.4478], qb:[], phi:[0.3449]] t^2.38 + t^2.69 + t^2.9 + t^3.1 + t^3.41 + 2*t^3.93 + t^4.14 + 2*t^4.76 + t^4.97 + t^5.06 + t^5.17 + t^5.27 + t^5.37 + t^5.48 + t^5.58 + 2*t^5.79 - t^4.03/y - t^5.38/y - t^5.59/y - t^4.03*y - t^5.38*y - t^5.59*y detail