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$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

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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
45060 SO5adj1nf2 $M_1q_1q_2$ + $ M_2q_1^2$ + $ M_1\phi_1^2$ 1.7528 1.8545 0.9452 [X:[], M:[1.2, 1.1729], q:[0.4135, 0.3865], qb:[], phi:[0.4]] [X:[], M:[[0], [2]], q:[[-1], [1]], qb:[], phi:[[0]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$q_2^2$, $ \phi_1^2$, $ M_2$, $ \phi_1^2q_2$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1^2q_1$, $ q_2^4$, $ \phi_1^2q_2^2$, $ \phi_1^4$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_1^2$, $ M_2q_2^2$, $ \phi_1^2q_2^3$, $ M_2\phi_1^2$, $ \phi_1q_1q_2^3$, $ \phi_1^4q_2$, $ \phi_1^2q_1q_2^2$ $2\phi_1^3q_1q_2$ 1 t^2.32 + t^2.4 + t^3.52 + t^3.56 + 2*t^3.6 + t^3.64 + t^4.64 + 2*t^4.72 + 3*t^4.8 + t^4.88 + t^5.84 + t^5.88 + 2*t^5.92 + 2*t^5.96 + t^6. + t^6.04 - t^6.08 + t^6.96 + 3*t^7.04 + t^7.08 + 6*t^7.12 + 2*t^7.16 + 6*t^7.2 + t^7.24 + t^7.28 + t^8.16 + t^8.2 + 3*t^8.24 + 3*t^8.28 + 3*t^8.32 + 4*t^8.36 + 3*t^8.4 + 3*t^8.44 - t^8.48 + t^8.52 - t^4.2/y - t^5.36/y - t^5.44/y - t^6.52/y - (2*t^6.6)/y - t^7.68/y - (3*t^7.76)/y - t^7.8/y - (2*t^7.84)/y + t^8.96/y - t^4.2*y - t^5.36*y - t^5.44*y - t^6.52*y - 2*t^6.6*y - t^7.68*y - 3*t^7.76*y - t^7.8*y - 2*t^7.84*y + t^8.96*y g1^2*t^2.32 + t^2.4 + g1^2*t^3.52 + g1*t^3.56 + 2*t^3.6 + t^3.64/g1 + g1^4*t^4.64 + 2*g1^2*t^4.72 + 3*t^4.8 + t^4.88/g1^2 + g1^4*t^5.84 + g1^3*t^5.88 + 2*g1^2*t^5.92 + 2*g1*t^5.96 + t^6. + t^6.04/g1 - t^6.08/g1^2 + g1^6*t^6.96 + 3*g1^4*t^7.04 + g1^3*t^7.08 + 6*g1^2*t^7.12 + 2*g1*t^7.16 + 6*t^7.2 + t^7.24/g1 + t^7.28/g1^2 + g1^6*t^8.16 + g1^5*t^8.2 + 3*g1^4*t^8.24 + 3*g1^3*t^8.28 + 3*g1^2*t^8.32 + 4*g1*t^8.36 + 3*t^8.4 + (3*t^8.44)/g1 - t^8.48/g1^2 + t^8.52/g1^3 - t^4.2/y - (g1*t^5.36)/y - t^5.44/(g1*y) - (g1^2*t^6.52)/y - (2*t^6.6)/y - (g1^3*t^7.68)/y - (3*g1*t^7.76)/y - t^7.8/y - (2*t^7.84)/(g1*y) + (g1*t^8.96)/y - t^4.2*y - g1*t^5.36*y - (t^5.44*y)/g1 - g1^2*t^6.52*y - 2*t^6.6*y - g1^3*t^7.68*y - 3*g1*t^7.76*y - t^7.8*y - (2*t^7.84*y)/g1 + g1*t^8.96*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
45159 $M_1q_1q_2$ + $ M_2q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ 1.7693 1.8835 0.9394 [X:[], M:[1.2, 1.1729, 0.8], q:[0.4135, 0.3865], qb:[], phi:[0.4]] t^2.32 + 2*t^2.4 + t^3.52 + t^3.56 + t^3.6 + t^3.64 + t^4.64 + 3*t^4.72 + 5*t^4.8 + t^4.88 + t^5.84 + t^5.88 + 2*t^5.92 + 3*t^5.96 + t^6. - t^4.2/y - t^5.36/y - t^5.44/y - t^4.2*y - t^5.36*y - t^5.44*y detail
45132 $M_1q_1q_2$ + $ M_2q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2q_1$ 1.7703 1.8864 0.9384 [X:[], M:[1.2, 1.1611, 0.7806], q:[0.4194, 0.3806], qb:[], phi:[0.4]] t^2.28 + t^2.34 + t^2.4 + t^3.48 + t^3.54 + 2*t^3.6 + t^4.57 + t^4.63 + 3*t^4.68 + t^4.74 + 3*t^4.8 + t^4.92 + t^5.77 + 2*t^5.83 + 3*t^5.88 + 3*t^5.94 + t^6. - t^4.2/y - t^5.34/y - t^5.46/y - t^4.2*y - t^5.34*y - t^5.46*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
44948 SO5adj1nf2 $M_1q_1q_2$ + $ M_2q_1^2$ 1.7899 1.8957 0.9442 [X:[], M:[1.0484, 1.006], q:[0.497, 0.4546], qb:[], phi:[0.3495]] t^2.1 + t^2.73 + t^3.02 + t^3.15 + t^3.46 + t^3.59 + t^3.9 + 2*t^4.19 + 2*t^4.82 + t^4.95 + t^5.08 + t^5.11 + t^5.24 + t^5.46 + t^5.56 + t^5.68 + t^5.75 - t^4.05/y - t^5.41/y - t^5.54/y - t^4.05*y - t^5.41*y - t^5.54*y detail