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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
45451 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3q_1^2$ + $ M_1M_3$ + $ M_4\phi_1^2q_2$ + $ M_5q_2^2$ 1.8322 1.9748 0.9278 [X:[], M:[0.8546, 0.718, 1.1454, 0.7863, 1.0087], q:[0.4273, 0.4956], qb:[], phi:[0.359]] [X:[], M:[[4], [-6], [-4], [-1], [-14]], q:[[2], [7]], qb:[], phi:[[-3]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ \phi_1^2$, $ M_4$, $ M_1$, $ q_1q_2$, $ M_5$, $ M_3$, $ M_2^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ M_2M_4$, $ M_4\phi_1^2$, $ M_1M_2$, $ M_4^2$, $ M_1\phi_1^2$, $ \phi_1^2q_1^2$, $ M_1M_4$, $ M_2q_1q_2$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ M_4q_1q_2$, $ \phi_1^2q_2^2$, $ M_2M_5$, $ M_5\phi_1^2$, $ M_1q_1q_2$, $ M_4M_5$, $ q_1^2q_2^2$, $ M_2M_3$, $ M_1M_5$, $ M_3\phi_1^2$, $ M_3M_4$, $ M_5q_1q_2$ $\phi_1^3q_1q_2$ 0 2*t^2.15 + t^2.36 + t^2.56 + t^2.77 + t^3.03 + t^3.44 + 4*t^4.31 + 2*t^4.51 + 4*t^4.72 + 4*t^4.92 + 3*t^5.13 + 2*t^5.18 + t^5.33 + t^5.39 + t^5.54 + 3*t^5.59 + t^5.8 + t^6.05 + 7*t^6.46 + 3*t^6.67 + 7*t^6.87 + 9*t^7.08 + 8*t^7.28 + 4*t^7.33 + 7*t^7.49 + 2*t^7.54 + 5*t^7.69 + 8*t^7.74 + 3*t^7.9 + 3*t^7.95 + t^8.1 + 3*t^8.15 + 2*t^8.21 + t^8.31 - t^8.36 + t^8.41 - t^8.56 + 12*t^8.62 - 2*t^8.77 + 5*t^8.82 - t^8.97 - t^4.08/y - t^5.36/y - t^5.56/y - (3*t^6.23)/y - t^6.44/y - t^6.64/y - t^6.85/y - t^7.1/y + t^7.31/y - t^7.51/y - t^7.72/y + (2*t^7.92)/y - t^8.13/y + (2*t^8.18)/y - (6*t^8.39)/y - (2*t^8.8)/y - t^4.08*y - t^5.36*y - t^5.56*y - 3*t^6.23*y - t^6.44*y - t^6.64*y - t^6.85*y - t^7.1*y + t^7.31*y - t^7.51*y - t^7.72*y + 2*t^7.92*y - t^8.13*y + 2*t^8.18*y - 6*t^8.39*y - 2*t^8.8*y (2*t^2.15)/g1^6 + t^2.36/g1 + g1^4*t^2.56 + g1^9*t^2.77 + t^3.03/g1^14 + t^3.44/g1^4 + (4*t^4.31)/g1^12 + (2*t^4.51)/g1^7 + (4*t^4.72)/g1^2 + 4*g1^3*t^4.92 + 3*g1^8*t^5.13 + (2*t^5.18)/g1^20 + g1^13*t^5.33 + t^5.39/g1^15 + g1^18*t^5.54 + (3*t^5.59)/g1^10 + t^5.8/g1^5 + t^6.05/g1^28 + (7*t^6.46)/g1^18 + (3*t^6.67)/g1^13 + (7*t^6.87)/g1^8 + (9*t^7.08)/g1^3 + 8*g1^2*t^7.28 + (4*t^7.33)/g1^26 + 7*g1^7*t^7.49 + (2*t^7.54)/g1^21 + 5*g1^12*t^7.69 + (8*t^7.74)/g1^16 + 3*g1^17*t^7.9 + (3*t^7.95)/g1^11 + g1^22*t^8.1 + (3*t^8.15)/g1^6 + (2*t^8.21)/g1^34 + g1^27*t^8.31 - t^8.36/g1 + t^8.41/g1^29 - g1^4*t^8.56 + (12*t^8.62)/g1^24 - 2*g1^9*t^8.77 + (5*t^8.82)/g1^19 - g1^14*t^8.97 - t^4.08/(g1^3*y) - t^5.36/(g1*y) - (g1^4*t^5.56)/y - (3*t^6.23)/(g1^9*y) - t^6.44/(g1^4*y) - (g1*t^6.64)/y - (g1^6*t^6.85)/y - t^7.1/(g1^17*y) + t^7.31/(g1^12*y) - t^7.51/(g1^7*y) - t^7.72/(g1^2*y) + (2*g1^3*t^7.92)/y - (g1^8*t^8.13)/y + (2*t^8.18)/(g1^20*y) - (6*t^8.39)/(g1^15*y) - (2*t^8.8)/(g1^5*y) - (t^4.08*y)/g1^3 - (t^5.36*y)/g1 - g1^4*t^5.56*y - (3*t^6.23*y)/g1^9 - (t^6.44*y)/g1^4 - g1*t^6.64*y - g1^6*t^6.85*y - (t^7.1*y)/g1^17 + (t^7.31*y)/g1^12 - (t^7.51*y)/g1^7 - (t^7.72*y)/g1^2 + 2*g1^3*t^7.92*y - g1^8*t^8.13*y + (2*t^8.18*y)/g1^20 - (6*t^8.39*y)/g1^15 - (2*t^8.8*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
45549 $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3q_1^2$ + $ M_1M_3$ + $ M_4\phi_1^2q_2$ + $ M_5q_2^2$ + $ M_3M_6$ 1.8451 1.9966 0.9241 [X:[], M:[0.8511, 0.7233, 1.1489, 0.7872, 1.0211, 0.8511], q:[0.4256, 0.4894], qb:[], phi:[0.3617]] 2*t^2.17 + t^2.36 + 2*t^2.55 + t^2.74 + t^3.06 + 4*t^4.34 + 2*t^4.53 + 6*t^4.72 + 5*t^4.91 + 5*t^5.11 + 2*t^5.23 + 2*t^5.3 + t^5.43 + t^5.49 + 2*t^5.62 - 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
45304 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3q_1^2$ + $ M_1M_3$ + $ M_4\phi_1^2q_2$ 1.8355 1.9805 0.9268 [X:[], M:[0.8395, 0.7407, 1.1605, 0.7901], q:[0.4198, 0.4692], qb:[], phi:[0.3704]] 2*t^2.22 + t^2.37 + t^2.52 + t^2.67 + t^2.81 + t^3.48 + 4*t^4.44 + 2*t^4.59 + 4*t^4.74 + 4*t^4.89 + 5*t^5.04 + 2*t^5.19 + 2*t^5.33 + t^5.48 + t^5.63 + 2*t^5.7 - 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