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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
45074 SO5adj1nf2 $q_1^3q_2$ + $ M_1q_1^2$ + $ M_2\phi_1^2$ 1.7713 1.8624 0.9511 [X:[], M:[0.9631, 1.3088], q:[0.5184, 0.4447], qb:[], phi:[0.3456]] [X:[], M:[[6], [4]], q:[[-3], [9]], qb:[], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$q_2^2$, $ M_1$, $ q_1q_2$, $ \phi_1^2q_2$, $ \phi_1^2q_1$, $ M_2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_1^2$, $ q_2^4$, $ M_1q_2^2$, $ q_1q_2^3$, $ M_1^2$, $ M_1q_1q_2$ $\phi_1^3q_1q_2$ -1 t^2.67 + 2*t^2.89 + t^3.41 + t^3.63 + 2*t^3.93 + t^4.15 + t^4.74 + t^4.96 + t^5.18 + t^5.34 + 2*t^5.56 + 2*t^5.78 - t^6. + t^6.08 - t^6.22 + 3*t^6.3 + t^6.52 + 2*t^6.59 - t^6.74 + 5*t^6.82 + 2*t^7.04 + 2*t^7.33 + t^7.41 + 3*t^7.56 + 3*t^7.63 + t^7.78 + 4*t^7.85 + t^8. + 3*t^8.07 + t^8.15 + 2*t^8.23 + t^8.37 + 2*t^8.45 + t^8.59 + 2*t^8.67 + t^8.74 + t^8.81 - 2*t^8.89 + 3*t^8.97 - t^4.04/y - t^5.37/y - t^5.59/y - t^6.11/y - t^6.71/y - (2*t^6.93)/y - t^7.44/y - t^7.67/y - t^7.96/y - t^8.04/y - t^8.18/y - (3*t^8.26)/y - t^8.48/y + (2*t^8.56)/y + t^8.7/y - t^8.78/y - t^4.04*y - t^5.37*y - t^5.59*y - t^6.11*y - t^6.71*y - 2*t^6.93*y - t^7.44*y - t^7.67*y - t^7.96*y - t^8.04*y - t^8.18*y - 3*t^8.26*y - t^8.48*y + 2*t^8.56*y + t^8.7*y - t^8.78*y g1^18*t^2.67 + 2*g1^6*t^2.89 + g1^5*t^3.41 + t^3.63/g1^7 + 2*g1^4*t^3.93 + t^4.15/g1^8 + g1^14*t^4.74 + g1^2*t^4.96 + t^5.18/g1^10 + g1^36*t^5.34 + 2*g1^24*t^5.56 + 2*g1^12*t^5.78 - t^6. + g1^23*t^6.08 - t^6.22/g1^12 + 3*g1^11*t^6.3 + t^6.52/g1 + 2*g1^22*t^6.59 - t^6.74/g1^13 + 5*g1^10*t^6.82 + (2*t^7.04)/g1^2 + 2*g1^9*t^7.33 + g1^32*t^7.41 + (3*t^7.56)/g1^3 + 3*g1^20*t^7.63 + t^7.78/g1^15 + 4*g1^8*t^7.85 + g1^54*t^8. + (3*t^8.07)/g1^4 + g1^19*t^8.15 + 2*g1^42*t^8.23 + g1^7*t^8.37 + 2*g1^30*t^8.45 + t^8.59/g1^5 + 2*g1^18*t^8.67 + g1^41*t^8.74 + t^8.81/g1^17 - 2*g1^6*t^8.89 + 3*g1^29*t^8.97 - t^4.04/(g1^2*y) - (g1^7*t^5.37)/y - t^5.59/(g1^5*y) - t^6.11/(g1^6*y) - (g1^16*t^6.71)/y - (2*g1^4*t^6.93)/y - (g1^3*t^7.44)/y - t^7.67/(g1^9*y) - (g1^2*t^7.96)/y - (g1^25*t^8.04)/y - t^8.18/(g1^10*y) - (3*g1^13*t^8.26)/y - (g1*t^8.48)/y + (2*g1^24*t^8.56)/y + t^8.7/(g1^11*y) - (g1^12*t^8.78)/y - (t^4.04*y)/g1^2 - g1^7*t^5.37*y - (t^5.59*y)/g1^5 - (t^6.11*y)/g1^6 - g1^16*t^6.71*y - 2*g1^4*t^6.93*y - g1^3*t^7.44*y - (t^7.67*y)/g1^9 - g1^2*t^7.96*y - g1^25*t^8.04*y - (t^8.18*y)/g1^10 - 3*g1^13*t^8.26*y - g1*t^8.48*y + 2*g1^24*t^8.56*y + (t^8.7*y)/g1^11 - g1^12*t^8.78*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
45169 $q_1^3q_2$ + $ M_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3\phi_1^2q_2$ 1.7836 1.8823 0.9476 [X:[], M:[0.9683, 1.3122, 0.8598], q:[0.5159, 0.4524], qb:[], phi:[0.3439]] t^2.58 + t^2.71 + 2*t^2.9 + t^3.61 + 2*t^3.94 + t^4.13 + t^4.78 + t^4.97 + 2*t^5.16 + t^5.29 + t^5.43 + 2*t^5.48 + 2*t^5.62 + 2*t^5.81 - t^6. - t^4.03/y - t^5.39/y - t^5.58/y - t^4.03*y - t^5.39*y - t^5.58*y detail
45156 $q_1^3q_2$ + $ M_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2^2$ 1.7642 1.8478 0.9547 [X:[], M:[0.9856, 1.3238, 1.0431], q:[0.5072, 0.4785], qb:[], phi:[0.3381]] 2*t^2.96 + t^3.13 + t^3.46 + t^3.55 + 2*t^3.97 + t^4.06 + t^4.9 + t^4.99 + t^5.07 + 2*t^5.91 - t^6. - t^4.01/y - t^5.45/y - t^5.54/y - t^4.01*y - t^5.45*y - t^5.54*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
44967 SO5adj1nf2 $q_1^3q_2$ + $ M_1q_1^2$ 1.792 1.9022 0.9421 [X:[], M:[0.9638], q:[0.5181, 0.4457], qb:[], phi:[0.3454]] t^2.07 + t^2.67 + 2*t^2.89 + t^3.41 + t^3.63 + t^3.93 + 2*t^4.14 + 2*t^4.75 + 3*t^4.96 + t^5.18 + t^5.35 + t^5.48 + 2*t^5.57 + t^5.7 + 2*t^5.78 - 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