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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
45339 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3q_1^2$ + $ M_1M_3$ + $ M_3M_4$ 1.8324 1.9752 0.9277 [X:[], M:[0.8356, 0.7465, 1.1644, 0.8356], q:[0.4178, 0.4624], qb:[], phi:[0.3733]] [X:[], M:[[4], [-6], [-4], [4]], q:[[2], [7]], qb:[], phi:[[-3]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ \phi_1^2$, $ M_1$, $ M_4$, $ q_1q_2$, $ q_2^2$, $ \phi_1^2q_2$, $ M_2^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ M_1M_2$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^2q_1^2$, $ M_2q_1q_2$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ M_2q_2^2$, $ \phi_1^2q_2^2$, $ M_1q_1q_2$, $ M_4q_1q_2$, $ M_1q_2^2$, $ M_4q_2^2$, $ q_1^2q_2^2$, $ q_1q_2^3$, $ q_2^4$, $ M_2\phi_1^2q_2$, $ \phi_1^4q_2$ $\phi_1^3q_1q_2$ -1 2*t^2.24 + 2*t^2.51 + t^2.64 + t^2.77 + t^3.63 + 4*t^4.48 + 5*t^4.75 + 3*t^4.88 + 6*t^5.01 + 2*t^5.15 + 3*t^5.28 + t^5.41 + t^5.55 + t^5.87 - t^6. + t^6.13 + t^6.27 + t^6.4 + 6*t^6.72 - t^6.85 + 8*t^6.99 + 5*t^7.12 + 14*t^7.25 + 7*t^7.39 + 13*t^7.52 + 7*t^7.65 + 8*t^7.79 + 3*t^7.92 + 3*t^8.06 + t^8.11 + t^8.19 - 3*t^8.24 + t^8.32 - t^8.37 - 2*t^8.51 + t^8.64 - t^8.77 + 2*t^8.91 + 9*t^8.96 - t^4.12/y - t^5.37/y - t^5.51/y - (3*t^6.36)/y - (2*t^6.63)/y - t^6.76/y - t^6.89/y + t^7.48/y - (2*t^7.61)/y + t^7.75/y + t^7.88/y + t^8.28/y + t^8.41/y - (6*t^8.6)/y + t^8.73/y - (3*t^8.87)/y - t^4.12*y - t^5.37*y - t^5.51*y - 3*t^6.36*y - 2*t^6.63*y - t^6.76*y - t^6.89*y + t^7.48*y - 2*t^7.61*y + t^7.75*y + t^7.88*y + t^8.28*y + t^8.41*y - 6*t^8.6*y + t^8.73*y - 3*t^8.87*y (2*t^2.24)/g1^6 + 2*g1^4*t^2.51 + g1^9*t^2.64 + g1^14*t^2.77 + g1*t^3.63 + (4*t^4.48)/g1^12 + (5*t^4.75)/g1^2 + 3*g1^3*t^4.88 + 6*g1^8*t^5.01 + 2*g1^13*t^5.15 + 3*g1^18*t^5.28 + g1^23*t^5.41 + g1^28*t^5.55 + t^5.87/g1^5 - t^6. + g1^5*t^6.13 + g1^10*t^6.27 + g1^15*t^6.4 + (6*t^6.72)/g1^18 - t^6.85/g1^13 + (8*t^6.99)/g1^8 + (5*t^7.12)/g1^3 + 14*g1^2*t^7.25 + 7*g1^7*t^7.39 + 13*g1^12*t^7.52 + 7*g1^17*t^7.65 + 8*g1^22*t^7.79 + 3*g1^27*t^7.92 + 3*g1^32*t^8.06 + t^8.11/g1^11 + g1^37*t^8.19 - (3*t^8.24)/g1^6 + g1^42*t^8.32 - t^8.37/g1 - 2*g1^4*t^8.51 + g1^9*t^8.64 - g1^14*t^8.77 + 2*g1^19*t^8.91 + (9*t^8.96)/g1^24 - t^4.12/(g1^3*y) - t^5.37/(g1*y) - (g1^4*t^5.51)/y - (3*t^6.36)/(g1^9*y) - (2*g1*t^6.63)/y - (g1^6*t^6.76)/y - (g1^11*t^6.89)/y + t^7.48/(g1^12*y) - (2*t^7.61)/(g1^7*y) + t^7.75/(g1^2*y) + (g1^3*t^7.88)/y + (g1^18*t^8.28)/y + (g1^23*t^8.41)/y - (6*t^8.6)/(g1^15*y) + t^8.73/(g1^10*y) - (3*t^8.87)/(g1^5*y) - (t^4.12*y)/g1^3 - (t^5.37*y)/g1 - g1^4*t^5.51*y - (3*t^6.36*y)/g1^9 - 2*g1*t^6.63*y - g1^6*t^6.76*y - g1^11*t^6.89*y + (t^7.48*y)/g1^12 - (2*t^7.61*y)/g1^7 + (t^7.75*y)/g1^2 + g1^3*t^7.88*y + g1^18*t^8.28*y + g1^23*t^8.41*y - (6*t^8.6*y)/g1^15 + (t^8.73*y)/g1^10 - (3*t^8.87*y)/g1^5


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
45466 $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3q_1^2$ + $ M_1M_3$ + $ M_3M_4$ + $ M_5q_1q_2$ 1.8225 1.9572 0.9312 [X:[], M:[0.8443, 0.7335, 1.1557, 0.8443, 1.1003], q:[0.4222, 0.4775], qb:[], phi:[0.3668]] 2*t^2.2 + 2*t^2.53 + t^2.87 + t^3.3 + t^3.63 + 4*t^4.4 + 5*t^4.73 + t^4.9 + 6*t^5.07 + 2*t^5.4 + 2*t^5.5 + t^5.73 + 3*t^5.83 - t^6. - t^4.1/y - t^5.37/y - t^5.53/y - t^4.1*y - t^5.37*y - t^5.53*y detail
45419 $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3q_1^2$ + $ M_1M_3$ + $ M_3M_4$ + $ M_5q_2^2$ 1.8278 1.9661 0.9297 [X:[], M:[0.8505, 0.7243, 1.1495, 0.8505, 1.0234], q:[0.4252, 0.4883], qb:[], phi:[0.3622]] 2*t^2.17 + 2*t^2.55 + t^2.74 + t^3.07 + t^3.64 + 4*t^4.35 + 5*t^4.72 + 3*t^4.91 + 4*t^5.1 + 2*t^5.24 + 2*t^5.29 + t^5.48 + 2*t^5.62 + 2*t^5.81 - t^6. - t^4.09/y - t^5.36/y - t^5.55/y - t^4.09*y - t^5.36*y - t^5.55*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
45204 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3q_1^2$ + $ M_1M_3$ 1.8184 1.9504 0.9323 [X:[], M:[0.8389, 0.7417, 1.1611], q:[0.4194, 0.468], qb:[], phi:[0.3708]] 2*t^2.23 + t^2.52 + t^2.66 + t^2.81 + t^3.48 + t^3.63 + 4*t^4.45 + 3*t^4.74 + 3*t^4.89 + 4*t^5.03 + t^5.18 + 2*t^5.32 + t^5.47 + t^5.62 + 2*t^5.71 + t^5.85 - t^4.11/y - t^5.37/y - t^5.52/y - t^4.11*y - t^5.37*y - t^5.52*y detail