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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
45084 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ q_1^3q_2$ + $ M_2q_1q_2$ 1.8028 1.9205 0.9387 [X:[], M:[0.8018, 1.0271], q:[0.5135, 0.4594], qb:[], phi:[0.3424]] [X:[], M:[[7], [-6]], q:[[-3], [9]], qb:[], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^2$, $ M_1$, $ q_2^2$, $ M_2$, $ q_1^2$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_1^2$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ M_2\phi_1^2$, $ \phi_1^2q_1^2$, $ M_1q_2^2$, $ M_1M_2$, $ M_1q_1^2$, $ \phi_1^4q_2$, $ q_2^4$, $ M_2q_2^2$, $ q_1^2q_2^2$ $2\phi_1^3q_1q_2$ 0 t^2.05 + t^2.41 + t^2.76 + 2*t^3.08 + t^3.43 + t^3.95 + 2*t^4.11 + t^4.46 + 3*t^4.81 + t^4.97 + 3*t^5.14 + t^5.16 + 3*t^5.49 + t^5.51 + 2*t^5.84 + 4*t^6.16 + t^6.19 + t^6.35 + 3*t^6.51 - t^6.68 + t^6.7 + 4*t^6.86 + 2*t^7.03 + 4*t^7.19 + 3*t^7.22 + 2*t^7.38 + 5*t^7.54 + 3*t^7.57 + t^7.73 + 6*t^7.89 + t^7.92 + 2*t^8.05 + 6*t^8.22 + 4*t^8.24 + t^8.27 + 5*t^8.57 + 2*t^8.59 - t^8.73 + t^8.76 + 6*t^8.92 + t^8.95 - t^4.03/y - t^5.41/y - t^5.57/y - (2*t^6.08)/y - t^6.43/y - t^6.78/y - (2*t^7.11)/y - t^7.46/y - t^7.62/y - t^7.97/y - t^8.14/y - t^8.32/y - t^8.65/y - t^8.84/y - t^4.03*y - t^5.41*y - t^5.57*y - 2*t^6.08*y - t^6.43*y - t^6.78*y - 2*t^7.11*y - t^7.46*y - t^7.62*y - t^7.97*y - t^8.14*y - t^8.32*y - t^8.65*y - t^8.84*y t^2.05/g1^4 + g1^7*t^2.41 + g1^18*t^2.76 + (2*t^3.08)/g1^6 + g1^5*t^3.43 + g1^4*t^3.95 + (2*t^4.11)/g1^8 + g1^3*t^4.46 + 3*g1^14*t^4.81 + g1^2*t^4.97 + (3*t^5.14)/g1^10 + g1^25*t^5.16 + 3*g1*t^5.49 + g1^36*t^5.51 + 2*g1^12*t^5.84 + (4*t^6.16)/g1^12 + g1^23*t^6.19 + g1^11*t^6.35 + (3*t^6.51)/g1 - t^6.68/g1^13 + g1^22*t^6.7 + 4*g1^10*t^6.86 + (2*t^7.03)/g1^2 + (4*t^7.19)/g1^14 + 3*g1^21*t^7.22 + 2*g1^9*t^7.38 + (5*t^7.54)/g1^3 + 3*g1^32*t^7.57 + g1^20*t^7.73 + 6*g1^8*t^7.89 + g1^43*t^7.92 + (2*t^8.05)/g1^4 + (6*t^8.22)/g1^16 + 4*g1^19*t^8.24 + g1^54*t^8.27 + (5*t^8.57)/g1^5 + 2*g1^30*t^8.59 - t^8.73/g1^17 + g1^18*t^8.76 + 6*g1^6*t^8.92 + g1^41*t^8.95 - t^4.03/(g1^2*y) - (g1^7*t^5.41)/y - t^5.57/(g1^5*y) - (2*t^6.08)/(g1^6*y) - (g1^5*t^6.43)/y - (g1^16*t^6.78)/y - (2*t^7.11)/(g1^8*y) - (g1^3*t^7.46)/y - t^7.62/(g1^9*y) - (g1^2*t^7.97)/y - t^8.14/(g1^10*y) - (g1^13*t^8.32)/y - t^8.65/(g1^11*y) - (g1^12*t^8.84)/y - (t^4.03*y)/g1^2 - g1^7*t^5.41*y - (t^5.57*y)/g1^5 - (2*t^6.08*y)/g1^6 - g1^5*t^6.43*y - g1^16*t^6.78*y - (2*t^7.11*y)/g1^8 - g1^3*t^7.46*y - (t^7.62*y)/g1^9 - g1^2*t^7.97*y - (t^8.14*y)/g1^10 - g1^13*t^8.32*y - (t^8.65*y)/g1^11 - g1^12*t^8.84*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
45123 $M_1\phi_1^2q_1$ + $ q_1^3q_2$ + $ M_2q_1q_2$ + $ M_1q_2^2$ + $ \phi_1^2X_1$ 1.7545 1.842 0.9525 [X:[1.36], M:[0.88, 0.96], q:[0.48, 0.56], qb:[], phi:[0.32]] t^2.64 + 2*t^2.88 + t^3.36 + t^3.6 + t^3.84 + 2*t^4.08 + t^4.8 + t^5.04 + 2*t^5.28 + 2*t^5.52 + 2*t^5.76 - t^3.96/y - t^5.4/y - t^5.64/y - t^5.88/y - t^3.96*y - t^5.4*y - t^5.64*y - t^5.88*y detail {a: 438627/250000, c: 230251/125000, X1: 34/25, M1: 22/25, M2: 24/25, q1: 12/25, q2: 14/25, phi1: 8/25}
45197 $M_1\phi_1^2q_1$ + $ q_1^3q_2$ + $ M_2q_1q_2$ + $ M_3\phi_1q_1q_2$ 1.8236 1.9609 0.93 [X:[], M:[0.8023, 1.0266, 0.6844], q:[0.5133, 0.4602], qb:[], phi:[0.3422]] 2*t^2.05 + t^2.41 + t^2.76 + 2*t^3.08 + t^3.43 + 4*t^4.11 + 2*t^4.46 + 4*t^4.81 + t^4.97 + 5*t^5.13 + t^5.17 + 4*t^5.49 + t^5.52 + 2*t^5.84 - t^6. - t^4.03/y - t^5.41/y - t^5.57/y - t^4.03*y - t^5.41*y - t^5.57*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
44945 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ q_1^3q_2$ 1.8057 1.9263 0.9374 [X:[], M:[0.7935], q:[0.5171, 0.4487], qb:[], phi:[0.3447]] t^2.07 + t^2.38 + t^2.69 + t^2.9 + t^3.1 + t^3.41 + t^3.93 + 2*t^4.14 + t^4.45 + 3*t^4.76 + 2*t^4.97 + t^5.07 + 2*t^5.17 + t^5.28 + t^5.38 + 2*t^5.48 + t^5.59 + 2*t^5.79 + t^6. - 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