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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
44951 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ 1.8373 1.9804 0.9278 [X:[], M:[0.81, 0.7326], q:[0.4574, 0.4437], qb:[], phi:[0.3663]] [X:[], M:[[-1, 2], [-2, -2]], q:[[3, 0], [0, 3]], qb:[], phi:[[-1, -1]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ \phi_1^2$, $ M_1$, $ q_2^2$, $ q_1q_2$, $ q_1^2$, $ \phi_1^2q_2$, $ M_2^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ M_1M_2$, $ M_1\phi_1^2$, $ M_1^2$, $ M_2q_2^2$, $ \phi_1^2q_2^2$, $ M_2q_1q_2$, $ \phi_1^2q_1q_2$, $ M_2q_1^2$, $ \phi_1^2q_1^2$, $ M_1q_2^2$, $ M_1q_1q_2$, $ M_1q_1^2$, $ q_2^4$, $ q_1q_2^3$, $ q_1^2q_2^2$, $ q_1^3q_2$, $ q_1^4$, $ M_2\phi_1^2q_2$, $ \phi_1^4q_2$ $\phi_1^3q_1q_2$ -1 2*t^2.2 + t^2.43 + t^2.66 + t^2.7 + t^2.74 + t^3.53 + 4*t^4.4 + 2*t^4.63 + 4*t^4.86 + 3*t^4.9 + 3*t^4.94 + t^5.09 + t^5.13 + t^5.17 + t^5.32 + t^5.37 + 2*t^5.41 + t^5.45 + t^5.49 + 2*t^5.73 - t^6. - t^6.04 + t^6.19 + t^6.23 + t^6.27 + 6*t^6.59 + 3*t^6.83 - t^6.87 + 8*t^7.06 + 5*t^7.1 + 5*t^7.14 + 4*t^7.29 + 3*t^7.33 + 3*t^7.37 + 4*t^7.52 + 5*t^7.56 + 7*t^7.6 + 4*t^7.65 + 3*t^7.69 + t^7.75 + t^7.8 + 2*t^7.84 + t^7.88 + 5*t^7.92 + t^7.99 + t^8.03 + 2*t^8.07 + 2*t^8.11 + 2*t^8.15 - t^8.16 + t^8.19 - 3*t^8.2 + t^8.23 - 3*t^8.24 + 3*t^8.39 + t^8.43 + t^8.47 - 2*t^8.66 - 3*t^8.7 - 3*t^8.74 + 8*t^8.79 + t^8.85 + t^8.89 + 2*t^8.94 + t^8.98 - t^4.1/y - t^5.43/y - t^5.47/y - (3*t^6.3)/y - t^6.53/y - t^6.76/y - t^6.8/y - t^6.84/y + t^7.4/y - t^7.63/y - (2*t^7.67)/y + t^7.86/y + (2*t^7.9)/y + (2*t^7.94)/y - t^8.13/y - t^8.17/y - t^8.22/y + t^8.37/y + t^8.41/y + t^8.45/y - (6*t^8.49)/y + t^8.77/y - (4*t^8.96)/y - t^4.1*y - t^5.43*y - t^5.47*y - 3*t^6.3*y - t^6.53*y - t^6.76*y - t^6.8*y - t^6.84*y + t^7.4*y - t^7.63*y - 2*t^7.67*y + t^7.86*y + 2*t^7.9*y + 2*t^7.94*y - t^8.13*y - t^8.17*y - t^8.22*y + t^8.37*y + t^8.41*y + t^8.45*y - 6*t^8.49*y + t^8.77*y - 4*t^8.96*y (2*t^2.2)/(g1^2*g2^2) + (g2^2*t^2.43)/g1 + g2^6*t^2.66 + g1^3*g2^3*t^2.7 + g1^6*t^2.74 + (g2*t^3.53)/g1^2 + (4*t^4.4)/(g1^4*g2^4) + (2*t^4.63)/g1^3 + (4*g2^4*t^4.86)/g1^2 + 3*g1*g2*t^4.9 + (3*g1^4*t^4.94)/g2^2 + (g2^8*t^5.09)/g1 + g1^2*g2^5*t^5.13 + g1^5*g2^2*t^5.17 + g2^12*t^5.32 + g1^3*g2^9*t^5.37 + 2*g1^6*g2^6*t^5.41 + g1^9*g2^3*t^5.45 + g1^12*t^5.49 + (2*t^5.73)/(g1^4*g2) - t^6. - (g1^3*t^6.04)/g2^3 + (g2^7*t^6.19)/g1^2 + g1*g2^4*t^6.23 + g1^4*g2*t^6.27 + (6*t^6.59)/(g1^6*g2^6) + (3*t^6.83)/(g1^5*g2^2) - t^6.87/(g1^2*g2^5) + (8*g2^2*t^7.06)/g1^4 + (5*t^7.1)/(g1*g2) + (5*g1^2*t^7.14)/g2^4 + (4*g2^6*t^7.29)/g1^3 + 3*g2^3*t^7.33 + 3*g1^3*t^7.37 + (4*g2^10*t^7.52)/g1^2 + 5*g1*g2^7*t^7.56 + 7*g1^4*g2^4*t^7.6 + 4*g1^7*g2*t^7.65 + (3*g1^10*t^7.69)/g2^2 + (g2^14*t^7.75)/g1 + g1^2*g2^11*t^7.8 + 2*g1^5*g2^8*t^7.84 + g1^8*g2^5*t^7.88 + (4*t^7.92)/(g1^6*g2^3) + g1^11*g2^2*t^7.92 + g2^18*t^7.99 + g1^3*g2^15*t^8.03 + 2*g1^6*g2^12*t^8.07 + 2*g1^9*g2^9*t^8.11 + 2*g1^12*g2^6*t^8.15 - (g2*t^8.16)/g1^5 + g1^15*g2^3*t^8.19 - (3*t^8.2)/(g1^2*g2^2) + g1^18*t^8.23 - (3*g1*t^8.24)/g2^5 + (3*g2^5*t^8.39)/g1^4 + (g2^2*t^8.43)/g1 + (g1^2*t^8.47)/g2 - 2*g2^6*t^8.66 - 3*g1^3*g2^3*t^8.7 - 3*g1^6*t^8.74 + (9*t^8.79)/(g1^8*g2^8) - (g1^9*t^8.79)/g2^3 + (g2^13*t^8.85)/g1^2 + g1*g2^10*t^8.89 + 2*g1^4*g2^7*t^8.94 + g1^7*g2^4*t^8.98 - t^4.1/(g1*g2*y) - (g2^2*t^5.43)/(g1*y) - (g1^2*t^5.47)/(g2*y) - (3*t^6.3)/(g1^3*g2^3*y) - (g2*t^6.53)/(g1^2*y) - (g2^5*t^6.76)/(g1*y) - (g1^2*g2^2*t^6.8)/y - (g1^5*t^6.84)/(g2*y) + t^7.4/(g1^4*g2^4*y) - t^7.63/(g1^3*y) - (2*t^7.67)/(g2^3*y) + (g2^4*t^7.86)/(g1^2*y) + (2*g1*g2*t^7.9)/y + (2*g1^4*t^7.94)/(g2^2*y) - (g1^2*g2^5*t^8.13)/y - (g1^5*g2^2*t^8.17)/y - (g1^8*t^8.22)/(g2*y) + (g1^3*g2^9*t^8.37)/y + (g1^6*g2^6*t^8.41)/y + (g1^9*g2^3*t^8.45)/y - (6*t^8.49)/(g1^5*g2^5*y) + t^8.77/(g1*g2^4*y) - (4*g2^3*t^8.96)/(g1^3*y) - (t^4.1*y)/(g1*g2) - (g2^2*t^5.43*y)/g1 - (g1^2*t^5.47*y)/g2 - (3*t^6.3*y)/(g1^3*g2^3) - (g2*t^6.53*y)/g1^2 - (g2^5*t^6.76*y)/g1 - g1^2*g2^2*t^6.8*y - (g1^5*t^6.84*y)/g2 + (t^7.4*y)/(g1^4*g2^4) - (t^7.63*y)/g1^3 - (2*t^7.67*y)/g2^3 + (g2^4*t^7.86*y)/g1^2 + 2*g1*g2*t^7.9*y + (2*g1^4*t^7.94*y)/g2^2 - g1^2*g2^5*t^8.13*y - g1^5*g2^2*t^8.17*y - (g1^8*t^8.22*y)/g2 + g1^3*g2^9*t^8.37*y + g1^6*g2^6*t^8.41*y + g1^9*g2^3*t^8.45*y - (6*t^8.49*y)/(g1^5*g2^5) + (t^8.77*y)/(g1*g2^4) - (4*g2^3*t^8.96*y)/g1^3


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
44988 $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_1q_2^2$ 1.8035 1.9367 0.9312 [X:[], M:[0.8946, 0.6839], q:[0.4214, 0.5527], qb:[], phi:[0.342]] 2*t^2.05 + t^2.53 + t^2.68 + t^2.92 + t^3.32 + t^3.71 + 4*t^4.1 + 3*t^4.58 + 2*t^4.74 + 3*t^4.97 + t^5.06 + t^5.21 + 4*t^5.37 + t^5.45 + 2*t^5.76 + 2*t^5.84 - t^4.03/y - t^5.29/y - t^5.68/y - t^4.03*y - t^5.29*y - t^5.68*y detail
45006 $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_2$ 1.8525 2.0069 0.9231 [X:[], M:[0.8163, 0.7347, 0.8163], q:[0.449, 0.449], qb:[], phi:[0.3673]] 2*t^2.2 + 2*t^2.45 + 3*t^2.69 + 4*t^4.41 + 4*t^4.65 + 12*t^4.9 + 6*t^5.14 + 6*t^5.39 - 3*t^6. - t^4.1/y - (2*t^5.45)/y - t^4.1*y - 2*t^5.45*y detail
45000 $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3q_1^2$ 1.8324 1.9737 0.9284 [X:[], M:[0.7942, 0.7151, 1.0185], q:[0.4908, 0.4366], qb:[], phi:[0.3575]] 2*t^2.15 + t^2.38 + t^2.62 + t^2.78 + t^3.06 + t^3.46 + 4*t^4.29 + 2*t^4.53 + 4*t^4.77 + 3*t^4.93 + t^5. + t^5.09 + t^5.16 + 2*t^5.2 + t^5.24 + t^5.4 + t^5.44 + t^5.56 + 2*t^5.6 + t^5.68 + t^5.84 - t^6. - t^4.07/y - t^5.38/y - t^5.54/y - t^4.07*y - t^5.38*y - t^5.54*y detail
45058 $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ q_2^4$ 1.8282 1.9659 0.9299 [X:[], M:[0.8517, 0.7034], q:[0.4449, 0.5], qb:[], phi:[0.3517]] 2*t^2.11 + t^2.56 + t^2.67 + t^2.83 + t^3. + t^3.61 + 4*t^4.22 + 2*t^4.67 + 3*t^4.78 + 3*t^4.94 + 4*t^5.11 + t^5.22 + t^5.34 + t^5.39 + t^5.5 + t^5.56 + 2*t^5.67 + 2*t^5.72 - t^4.06/y - t^5.39/y - t^5.56/y - t^4.06*y - t^5.39*y - t^5.56*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
44918 SO5adj1nf2 $M_1\phi_1^2q_1$ 1.8177 1.9448 0.9347 [X:[], M:[0.809], q:[0.4541, 0.4406], qb:[], phi:[0.3684]] t^2.21 + t^2.43 + t^2.64 + t^2.68 + t^2.72 + t^3.53 + t^3.79 + 2*t^4.42 + t^4.64 + 3*t^4.85 + 2*t^4.89 + 2*t^4.94 + t^5.07 + t^5.11 + t^5.15 + t^5.29 + t^5.33 + 2*t^5.37 + t^5.41 + t^5.45 + t^5.74 - t^4.11/y - t^5.43/y - t^5.47/y - t^4.11*y - t^5.43*y - t^5.47*y detail
44919 SO5adj1nf2 $M_1\phi_1^2$ 1.7824 1.8817 0.9472 [X:[], M:[1.2605], q:[0.4454, 0.4454], qb:[], phi:[0.3698]] 3*t^2.67 + 2*t^3.55 + 2*t^3.78 + t^4.44 + 3*t^4.89 + 6*t^5.34 - 3*t^6. - t^4.11/y - (2*t^5.45)/y - t^4.11*y - 2*t^5.45*y detail