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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
45252 SO5adj1nf2 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ + $ M_3q_1^2$ 1.7778 1.8713 0.9501 [X:[1.3273], M:[1.0271, 0.8409, 0.991], q:[0.5045, 0.4864], qb:[], phi:[0.3363]] [X:[[4]], M:[[-18], [-5], [6]], q:[[-3], [9]], qb:[], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ M_3$, $ q_1q_2$, $ M_1$, $ \phi_1^2q_1$, $ \phi_1q_1q_2$, $ X_1$, $ \phi_1^4$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ M_2^2$, $ \phi_1^2q_1^2$, $ M_2M_3$, $ M_2q_1q_2$, $ M_1M_2$, $ M_3^2$, $ M_3q_1q_2$ $\phi_1^3q_1q_2$ -1 t^2.52 + 2*t^2.97 + t^3.08 + t^3.53 + 2*t^3.98 + t^4.04 + t^4.94 + t^4.99 + 2*t^5.05 + 2*t^5.5 + t^5.6 + 2*t^5.95 - t^6. + 2*t^6.05 + t^6.16 + 3*t^6.5 + t^6.61 + 3*t^6.95 + t^7.01 + 2*t^7.06 + t^7.12 + t^7.46 + 3*t^7.51 + 3*t^7.57 + 2*t^7.91 + 3*t^7.96 + 6*t^8.02 + t^8.07 + 2*t^8.13 + 2*t^8.47 - t^8.52 + 3*t^8.58 + t^8.69 + 3*t^8.92 - t^8.97 - t^4.01/y - t^5.47/y - t^5.52/y - t^6.03/y - t^6.53/y - (2*t^6.98)/y - t^7.09/y - t^7.54/y - (2*t^7.99)/y - (2*t^8.05)/y - (2*t^8.44)/y + t^8.5/y - t^8.55/y + t^8.95/y - t^4.01*y - t^5.47*y - t^5.52*y - t^6.03*y - t^6.53*y - 2*t^6.98*y - t^7.09*y - t^7.54*y - 2*t^7.99*y - 2*t^8.05*y - 2*t^8.44*y + t^8.5*y - t^8.55*y + t^8.95*y t^2.52/g1^5 + 2*g1^6*t^2.97 + t^3.08/g1^18 + t^3.53/g1^7 + 2*g1^4*t^3.98 + t^4.04/g1^8 + g1^14*t^4.94 + g1^2*t^4.99 + (2*t^5.05)/g1^10 + 2*g1*t^5.5 + t^5.6/g1^23 + 2*g1^12*t^5.95 - t^6. + (2*t^6.05)/g1^12 + t^6.16/g1^36 + (3*t^6.5)/g1 + t^6.61/g1^25 + 3*g1^10*t^6.95 + t^7.01/g1^2 + (2*t^7.06)/g1^14 + t^7.12/g1^26 + g1^9*t^7.46 + (3*t^7.51)/g1^3 + (3*t^7.57)/g1^15 + 2*g1^20*t^7.91 + 3*g1^8*t^7.96 + (6*t^8.02)/g1^4 + t^8.07/g1^16 + (2*t^8.13)/g1^28 + 2*g1^7*t^8.47 - t^8.52/g1^5 + (3*t^8.58)/g1^17 + t^8.69/g1^41 + 3*g1^18*t^8.92 - g1^6*t^8.97 - t^4.01/(g1^2*y) - (g1^7*t^5.47)/y - t^5.52/(g1^5*y) - t^6.03/(g1^6*y) - t^6.53/(g1^7*y) - (2*g1^4*t^6.98)/y - t^7.09/(g1^20*y) - t^7.54/(g1^9*y) - (2*g1^2*t^7.99)/y - (2*t^8.05)/(g1^10*y) - (2*g1^13*t^8.44)/y + (g1*t^8.5)/y - t^8.55/(g1^11*y) + (g1^12*t^8.95)/y - (t^4.01*y)/g1^2 - g1^7*t^5.47*y - (t^5.52*y)/g1^5 - (t^6.03*y)/g1^6 - (t^6.53*y)/g1^7 - 2*g1^4*t^6.98*y - (t^7.09*y)/g1^20 - (t^7.54*y)/g1^9 - 2*g1^2*t^7.99*y - (2*t^8.05*y)/g1^10 - 2*g1^13*t^8.44*y + g1*t^8.5*y - (t^8.55*y)/g1^11 + g1^12*t^8.95*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
45297 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ + $ M_3q_1^2$ + $ M_4\phi_1^2q_1$ 1.7931 1.8979 0.9448 [X:[1.3229], M:[1.0468, 0.8463, 0.9844, 0.8151], q:[0.5078, 0.4766], qb:[], phi:[0.3385]] t^2.45 + t^2.54 + 2*t^2.95 + t^3.14 + 2*t^3.97 + t^4.06 + 2*t^4.89 + 2*t^4.98 + 2*t^5.08 + 2*t^5.4 + 2*t^5.49 + t^5.59 + t^5.68 + 2*t^5.91 - t^6. - t^4.02/y - t^5.45/y - t^5.54/y - t^4.02*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
45072 SO5adj1nf2 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ 1.7773 1.871 0.9499 [X:[1.3327], M:[1.003, 0.8342], q:[0.5005, 0.4985], qb:[], phi:[0.3337]] t^2.5 + 2*t^3. + t^3.01 + t^3.5 + 3*t^4. + t^4.99 + 3*t^5. + t^5.5 + 2*t^5.51 - t^4./y - (2*t^5.5)/y - t^6./y - t^4.*y - 2*t^5.5*y - t^6.*y detail
45043 SO5adj1nf2 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2$ 1.7632 1.8463 0.955 [X:[], M:[1.0184, 1.3293], q:[0.5031, 0.4908], qb:[], phi:[0.3354]] t^2.98 + t^3.02 + t^3.06 + t^3.48 + t^3.52 + 2*t^3.99 + t^4.02 + t^4.96 + t^4.99 + t^5.03 - t^4.01/y - t^5.48/y - t^5.52/y - t^4.01*y - t^5.48*y - t^5.52*y detail