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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
45072 SO5adj1nf2 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ 1.7773 1.871 0.9499 [X:[1.3327], M:[1.003, 0.8342], q:[0.5005, 0.4985], qb:[], phi:[0.3337]] [X:[[4]], M:[[-18], [-5]], q:[[-3], [9]], qb:[], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ q_1^2$, $ q_1q_2$, $ M_1$, $ \phi_1^2q_1$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ X_1$, $ \phi_1^2q_2^2$, $ M_2^2$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ M_2q_1q_2$, $ M_1M_2$, $ M_2q_1^2$ $\phi_1^3q_1q_2$ 0 t^2.5 + 2*t^3. + t^3.01 + t^3.5 + 3*t^4. + t^4.99 + 3*t^5. + t^5.5 + 2*t^5.51 + 3*t^6.01 + t^6.02 + 2*t^6.5 + 2*t^6.51 + 3*t^7. + 4*t^7.01 + 4*t^7.5 + 3*t^7.51 + t^7.99 + 8*t^8. + 5*t^8.01 + 4*t^8.51 + t^8.52 + t^8.99 - t^4./y - (2*t^5.5)/y - t^6./y - t^6.5/y - (2*t^7.)/y - t^7.01/y - t^7.5/y - (4*t^8.)/y - t^8.49/y - t^8.51/y - t^4.*y - 2*t^5.5*y - t^6.*y - t^6.5*y - 2*t^7.*y - t^7.01*y - t^7.5*y - 4*t^8.*y - t^8.49*y - t^8.51*y t^2.5/g1^5 + t^3./g1^6 + g1^6*t^3. + t^3.01/g1^18 + t^3.5/g1^7 + t^4./g1^8 + 2*g1^4*t^4. + g1^14*t^4.99 + (2*t^5.)/g1^10 + g1^2*t^5. + g1*t^5.5 + t^5.51/g1^23 + t^5.51/g1^11 + t^6.01/g1^24 + (2*t^6.01)/g1^12 + t^6.02/g1^36 + (2*t^6.5)/g1 + t^6.51/g1^25 + t^6.51/g1^13 + (2*t^7.)/g1^2 + g1^10*t^7. + t^7.01/g1^26 + (3*t^7.01)/g1^14 + (3*t^7.5)/g1^3 + g1^9*t^7.5 + (3*t^7.51)/g1^15 + g1^20*t^7.99 + (5*t^8.)/g1^4 + 3*g1^8*t^8. + (2*t^8.01)/g1^28 + (3*t^8.01)/g1^16 + t^8.51/g1^29 + (3*t^8.51)/g1^17 + t^8.52/g1^41 + g1^18*t^8.99 - t^4./(g1^2*y) - t^5.5/(g1^5*y) - (g1^7*t^5.5)/y - t^6./(g1^6*y) - t^6.5/(g1^7*y) - t^7./(g1^8*y) - (g1^4*t^7.)/y - t^7.01/(g1^20*y) - t^7.5/(g1^9*y) - (2*t^8.)/(g1^10*y) - (2*g1^2*t^8.)/y - (g1^13*t^8.49)/y - t^8.51/(g1^11*y) - (t^4.*y)/g1^2 - (t^5.5*y)/g1^5 - g1^7*t^5.5*y - (t^6.*y)/g1^6 - (t^6.5*y)/g1^7 - (t^7.*y)/g1^8 - g1^4*t^7.*y - (t^7.01*y)/g1^20 - (t^7.5*y)/g1^9 - (2*t^8.*y)/g1^10 - 2*g1^2*t^8.*y - g1^13*t^8.49*y - (t^8.51*y)/g1^11


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
45232 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ + $ M_1M_2$ 1.767 1.8567 0.9517 [X:[1.3043], M:[1.1304, 0.8696], q:[0.5217, 0.4348], qb:[], phi:[0.3478]] t^2.61 + t^2.87 + t^3.13 + t^3.39 + t^3.65 + 2*t^3.91 + t^4.17 + t^4.7 + t^4.96 + 2*t^5.22 + t^5.48 + t^5.74 + t^6. - t^4.04/y - t^5.35/y - t^5.61/y - t^4.04*y - t^5.35*y - t^5.61*y detail {a: 343989/194672, c: 180723/97336, X1: 30/23, M1: 26/23, M2: 20/23, q1: 12/23, q2: 10/23, phi1: 8/23}
45244 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ + $ M_2q_1^2$ 1.7323 1.8175 0.9531 [X:[1.2727], M:[1.2727, 0.9091], q:[0.5455, 0.3636], qb:[], phi:[0.3636]] 2*t^2.73 + t^3.27 + 4*t^3.82 + 2*t^4.36 + t^4.91 + 3*t^5.45 + t^6. - t^4.09/y - t^5.18/y - t^5.73/y - t^4.09*y - t^5.18*y - t^5.73*y detail {a: 36891/21296, c: 19353/10648, X1: 14/11, M1: 14/11, M2: 10/11, q1: 6/11, q2: 4/11, phi1: 4/11}
45162 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^2q_1$ 1.792 1.896 0.9451 [X:[1.3282], M:[1.0233, 0.8398, 0.8243], q:[0.5039, 0.4883], qb:[], phi:[0.3359]] t^2.47 + t^2.52 + t^2.98 + t^3.02 + t^3.07 + 2*t^3.98 + t^4.03 + 2*t^4.95 + 2*t^4.99 + 2*t^5.04 + t^5.45 + 2*t^5.5 + 2*t^5.54 + t^5.59 - t^4.01/y - t^5.47/y - t^5.52/y - t^4.01*y - t^5.47*y - t^5.52*y detail
45178 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ + $ M_3q_1q_2$ 1.7776 1.8725 0.9494 [X:[1.338], M:[0.9792, 0.8275, 0.9931], q:[0.4965, 0.5104], qb:[], phi:[0.331]] t^2.48 + t^2.94 + 2*t^2.98 + t^3.48 + t^3.97 + 2*t^4.01 + 2*t^4.97 + t^5.01 + t^5.05 + t^5.42 + 2*t^5.46 + t^5.88 + 2*t^5.92 + 3*t^5.96 - t^6. - t^3.99/y - t^5.48/y - t^5.52/y - t^5.98/y - t^3.99*y - t^5.48*y - t^5.52*y - t^5.98*y detail
45252 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ + $ M_3q_1^2$ 1.7778 1.8713 0.9501 [X:[1.3273], M:[1.0271, 0.8409, 0.991], q:[0.5045, 0.4864], qb:[], phi:[0.3363]] t^2.52 + 2*t^2.97 + t^3.08 + t^3.53 + 2*t^3.98 + t^4.04 + t^4.94 + t^4.99 + 2*t^5.05 + 2*t^5.5 + t^5.6 + 2*t^5.95 - t^6. - t^4.01/y - t^5.47/y - t^5.52/y - t^4.01*y - t^5.47*y - t^5.52*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
44940 SO5adj1nf2 $q_1^3q_2$ + $ M_1q_2^2$ 1.7841 1.8877 0.9451 [X:[], M:[1.018], q:[0.503, 0.491], qb:[], phi:[0.3353]] t^2.01 + t^2.98 + t^3.02 + t^3.05 + t^3.49 + t^3.52 + t^3.99 + 2*t^4.02 + t^4.96 + 2*t^4.99 + 2*t^5.03 + t^5.07 + t^5.5 + t^5.53 + t^6. - t^4.01/y - t^5.48/y - t^5.51/y - t^4.01*y - t^5.48*y - t^5.51*y detail