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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
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]] [X:[], M:[[2, 2]], q:[[3, 0], [0, 3]], qb:[], phi:[[-1, -1]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$q_1^2$, $ q_1q_2$, $ q_2^2$, $ \phi_1^2q_1$, $ \phi_1^2q_2$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_2^2$, $ q_1^4$, $ q_1^3q_2$, $ q_1^2q_2^2$, $ q_1q_2^3$, $ q_2^4$ $\phi_1^3q_1q_2$ -3 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. + 6*t^6.23 + 6*t^6.45 - 2*t^6.88 + 3*t^7.11 + 4*t^7.34 + 11*t^7.56 + 2*t^7.99 + 10*t^8.02 - t^8.22 + 4*t^8.45 - 6*t^8.67 + t^8.87 + 12*t^8.9 - t^4.11/y - (2*t^5.45)/y - t^6.33/y - (3*t^6.78)/y - (2*t^7.66)/y - t^7.89/y - (6*t^8.12)/y + (3*t^8.34)/y - t^8.55/y + (2*t^8.77)/y - t^4.11*y - 2*t^5.45*y - t^6.33*y - 3*t^6.78*y - 2*t^7.66*y - t^7.89*y - 6*t^8.12*y + 3*t^8.34*y - t^8.55*y + 2*t^8.77*y g1^6*t^2.67 + g1^3*g2^3*t^2.67 + g2^6*t^2.67 + (g1*t^3.55)/g2^2 + (g2*t^3.55)/g1^2 + 2*g1^2*g2^2*t^3.78 + t^4.44/(g1^4*g2^4) + (g1^4*t^4.89)/g2^2 + g1*g2*t^4.89 + (g2^4*t^4.89)/g1^2 + g1^12*t^5.34 + g1^9*g2^3*t^5.34 + 2*g1^6*g2^6*t^5.34 + g1^3*g2^9*t^5.34 + g2^12*t^5.34 - t^6. - (g1^3*t^6.)/g2^3 - (g2^3*t^6.)/g1^3 + (g1^7*t^6.23)/g2^2 + 2*g1^4*g2*t^6.23 + 2*g1*g2^4*t^6.23 + (g2^7*t^6.23)/g1^2 + 2*g1^8*g2^2*t^6.45 + 2*g1^5*g2^5*t^6.45 + 2*g1^2*g2^8*t^6.45 - t^6.88/(g1^2*g2^5) - t^6.88/(g1^5*g2^2) + (g1^2*t^7.11)/g2^4 + t^7.11/(g1*g2) + (g2^2*t^7.11)/g1^4 + 2*g1^3*t^7.34 + 2*g2^3*t^7.34 + (g1^10*t^7.56)/g2^2 + 2*g1^7*g2*t^7.56 + 5*g1^4*g2^4*t^7.56 + 2*g1*g2^7*t^7.56 + (g2^10*t^7.56)/g1^2 + t^7.99/(g1^3*g2^6) + t^7.99/(g1^6*g2^3) + g1^18*t^8.02 + g1^15*g2^3*t^8.02 + 2*g1^12*g2^6*t^8.02 + 2*g1^9*g2^9*t^8.02 + 2*g1^6*g2^12*t^8.02 + g1^3*g2^15*t^8.02 + g2^18*t^8.02 - (g1*t^8.22)/g2^5 + t^8.22/(g1^2*g2^2) - (g2*t^8.22)/g1^5 + (g1^5*t^8.45)/g2^4 + (g1^2*t^8.45)/g2 + (g2^2*t^8.45)/g1 + (g2^5*t^8.45)/g1^4 - g1^6*t^8.67 - (g1^9*t^8.67)/g2^3 - 2*g1^3*g2^3*t^8.67 - g2^6*t^8.67 - (g2^9*t^8.67)/g1^3 + t^8.87/(g1^8*g2^8) + (g1^13*t^8.9)/g2^2 + 2*g1^10*g2*t^8.9 + 3*g1^7*g2^4*t^8.9 + 3*g1^4*g2^7*t^8.9 + 2*g1*g2^10*t^8.9 + (g2^13*t^8.9)/g1^2 - t^4.11/(g1*g2*y) - (g1^2*t^5.45)/(g2*y) - (g2^2*t^5.45)/(g1*y) - t^6.33/(g1^3*g2^3*y) - (g1^5*t^6.78)/(g2*y) - (g1^2*g2^2*t^6.78)/y - (g2^5*t^6.78)/(g1*y) - t^7.66/(g1^3*y) - t^7.66/(g2^3*y) - (g1*g2*t^7.89)/y - (g1^8*t^8.12)/(g2*y) - (2*g1^5*g2^2*t^8.12)/y - (2*g1^2*g2^5*t^8.12)/y - (g2^8*t^8.12)/(g1*y) + (g1^9*g2^3*t^8.34)/y + (g1^6*g2^6*t^8.34)/y + (g1^3*g2^9*t^8.34)/y - t^8.55/(g1^5*g2^5*y) + t^8.77/(g1*g2^4*y) + t^8.77/(g1^4*g2*y) - (t^4.11*y)/(g1*g2) - (g1^2*t^5.45*y)/g2 - (g2^2*t^5.45*y)/g1 - (t^6.33*y)/(g1^3*g2^3) - (g1^5*t^6.78*y)/g2 - g1^2*g2^2*t^6.78*y - (g2^5*t^6.78*y)/g1 - (t^7.66*y)/g1^3 - (t^7.66*y)/g2^3 - g1*g2*t^7.89*y - (g1^8*t^8.12*y)/g2 - 2*g1^5*g2^2*t^8.12*y - 2*g1^2*g2^5*t^8.12*y - (g2^8*t^8.12*y)/g1 + g1^9*g2^3*t^8.34*y + g1^6*g2^6*t^8.34*y + g1^3*g2^9*t^8.34*y - (t^8.55*y)/(g1^5*g2^5) + (t^8.77*y)/(g1*g2^4) + (t^8.77*y)/(g1^4*g2)


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
44977 $M_1\phi_1^2q_1$ + $ M_1q_1q_2$ + $ \phi_1^2X_1$ 1.7127 1.7883 0.9577 [X:[1.3948], M:[0.9078], q:[0.487, 0.6052], qb:[], phi:[0.3026]] t^2.72 + t^2.92 + t^3.28 + 3*t^3.63 + 2*t^4.18 + t^4.74 + t^5.09 + 2*t^5.45 + t^5.84 - t^6. - t^3.91/y - t^5.37/y - (2*t^5.72)/y - t^3.91*y - t^5.37*y - 2*t^5.72*y detail
44956 $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ 1.7222 1.8077 0.9527 [X:[1.3878], M:[0.7755], q:[0.6122, 0.4694], qb:[], phi:[0.3061]] t^2.33 + t^2.82 + 2*t^3.24 + 2*t^3.67 + 2*t^4.16 + 2*t^4.65 + t^5.08 + t^5.14 + t^5.51 + t^5.57 + t^5.63 - t^3.92/y - t^5.33/y - (2*t^5.76)/y - t^3.92*y - t^5.33*y - 2*t^5.76*y detail
44962 $M_1\phi_1^2q_1$ + $ M_1q_2^2$ 1.7827 1.8963 0.9401 [X:[], M:[0.8949], q:[0.4203, 0.5525], qb:[], phi:[0.3424]] t^2.05 + t^2.52 + t^2.68 + t^2.92 + t^3.32 + t^3.71 + t^3.95 + 2*t^4.11 + 2*t^4.58 + t^4.74 + 2*t^4.97 + t^5.04 + t^5.21 + 3*t^5.37 + t^5.44 + t^5.77 + 2*t^5.84 + t^6. - 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
44951 $M_1\phi_1^2q_1$ + $ 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]] 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^4.1/y - t^5.43/y - t^5.47/y - t^4.1*y - t^5.43*y - t^5.47*y detail
44936 $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ 1.833 1.9716 0.9297 [X:[], M:[0.8153, 0.8153], q:[0.4458, 0.4458], qb:[], phi:[0.3695]] t^2.22 + 2*t^2.45 + 3*t^2.67 + t^3.78 + 2*t^4.43 + 2*t^4.66 + 9*t^4.89 + 6*t^5.12 + 6*t^5.35 - 2*t^6. - t^4.11/y - (2*t^5.45)/y - t^4.11*y - 2*t^5.45*y detail
44963 $M_1\phi_1^2q_1$ + $ M_2q_1^2$ 1.8123 1.9359 0.9361 [X:[], M:[0.7935, 1.0238], q:[0.4881, 0.4344], qb:[], phi:[0.3592]] t^2.16 + t^2.38 + t^2.61 + t^2.77 + t^3.07 + t^3.46 + t^3.84 + 2*t^4.31 + t^4.54 + 3*t^4.76 + 2*t^4.92 + t^4.99 + t^5.08 + t^5.15 + t^5.21 + t^5.23 + t^5.37 + t^5.45 + t^5.53 + t^5.61 + t^5.68 + t^5.84 - t^4.08/y - t^5.38/y - t^5.54/y - t^4.08*y - t^5.38*y - t^5.54*y detail
44978 $M_1\phi_1^2q_1$ + $ M_2q_2^2$ 1.8097 1.9292 0.9381 [X:[], M:[0.8324, 1.0547], q:[0.448, 0.4726], qb:[], phi:[0.3598]] t^2.16 + t^2.5 + t^2.69 + t^2.76 + t^3.16 + t^3.58 + t^3.84 + 2*t^4.32 + t^4.66 + 2*t^4.85 + 2*t^4.92 + 2*t^4.99 + t^5.19 + t^5.26 + t^5.32 + t^5.38 + t^5.45 + t^5.52 + t^5.66 + t^5.74 + t^5.85 - t^4.08/y - t^5.42/y - t^5.5/y - t^4.08*y - t^5.42*y - t^5.5*y detail
44972 $M_1\phi_1^2q_1$ + $ \phi_1^4$ + $ q_2^2X_1$ + $ q_1q_2X_2$ + $ q_1^2X_3$ 1.4928 1.5713 0.95 [X:[1.513, 1.5, 1.487], M:[0.7435], q:[0.2565, 0.2435], qb:[], phi:[0.5]] t^2.23 + 2*t^3. + t^3.73 + 3*t^4.46 + 2*t^4.5 + 2*t^4.54 + 2*t^5.23 + 2*t^6. - t^4.5/y - t^5.23/y - t^5.27/y - t^4.5*y - t^5.23*y - t^5.27*y detail
44945 $M_1\phi_1^2q_1$ + $ 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
44968 $M_1\phi_1^2q_1$ + $ q_1^4$ 1.8119 1.9364 0.9357 [X:[], M:[0.7881], q:[0.5, 0.4322], qb:[], phi:[0.3559]] t^2.14 + t^2.36 + t^2.59 + t^2.8 + t^3. + t^3.43 + t^3.86 + 2*t^4.27 + t^4.5 + 3*t^4.73 + 2*t^4.93 + t^4.96 + 2*t^5.14 + t^5.16 + t^5.19 + t^5.36 + t^5.39 + t^5.57 + 2*t^5.59 + t^5.8 + t^6. - t^4.07/y - t^5.36/y - t^5.57/y - t^4.07*y - t^5.36*y - t^5.57*y detail
44931 $M_1\phi_1^2$ + $ M_2\phi_1^2q_1$ 1.7982 1.9099 0.9415 [X:[], M:[1.2584, 0.8079], q:[0.4505, 0.4372], qb:[], phi:[0.3708]] t^2.42 + t^2.62 + t^2.66 + t^2.7 + t^3.54 + 2*t^3.78 + t^4.45 + 2*t^4.85 + t^4.89 + t^4.93 + t^5.05 + t^5.09 + t^5.13 + t^5.25 + t^5.29 + 2*t^5.33 + t^5.37 + t^5.41 - t^6. - t^4.11/y - t^5.42/y - t^5.46/y - t^4.11*y - t^5.42*y - t^5.46*y detail
44961 $M_1\phi_1^2$ + $ M_2q_1q_2$ 1.7737 1.8639 0.9516 [X:[], M:[1.2783, 1.0826], q:[0.4587, 0.4587], qb:[], phi:[0.3609]] 2*t^2.75 + t^3.25 + 2*t^3.54 + 2*t^3.83 + t^4.33 + 3*t^4.92 + 3*t^5.5 - t^6. - t^4.08/y - (2*t^5.46)/y - t^4.08*y - 2*t^5.46*y detail
44965 $M_1\phi_1^2$ + $ M_2q_1^2$ 1.7755 1.8681 0.9504 [X:[], M:[1.2795, 1.0402], q:[0.4799, 0.4394], qb:[], phi:[0.3602]] t^2.64 + t^2.76 + t^3.12 + t^3.48 + t^3.6 + 2*t^3.84 + t^4.32 + t^4.8 + t^4.92 + t^5.04 + t^5.27 + t^5.39 + t^5.52 + t^5.76 - t^6. - t^4.08/y - t^5.4/y - t^5.52/y - t^4.08*y - t^5.4*y - t^5.52*y detail
44974 $M_1\phi_1^2$ + $ q_1^3q_2$ 1.7683 1.8559 0.9528 [X:[], M:[1.3137], q:[0.5147, 0.4559], qb:[], phi:[0.3431]] t^2.74 + t^2.91 + t^3.09 + t^3.43 + t^3.6 + 2*t^3.94 + t^4.12 + t^4.79 + t^4.97 + t^5.15 + t^5.47 + t^5.65 + t^5.82 - t^4.03/y - t^5.4/y - t^5.57/y - t^4.03*y - t^5.4*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
44917 SO5adj1nf2 . 1.802 1.9168 0.9401 [X:[], M:[], q:[0.4488, 0.4488], qb:[], phi:[0.3674]] t^2.2 + 3*t^2.69 + 2*t^3.55 + t^3.8 + 2*t^4.41 + 6*t^4.9 + 6*t^5.39 + 2*t^5.76 - 2*t^6. - t^4.1/y - (2*t^5.45)/y - t^4.1*y - 2*t^5.45*y detail