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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
45178 SO5adj1nf2 $q_1^3q_2$ + $ 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]] [X:[[4]], M:[[-18], [-5], [-6]], q:[[-3], [9]], qb:[], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ M_1$, $ M_3$, $ q_1^2$, $ \phi_1^2q_1$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ X_1$, $ M_2^2$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_2^2$, $ M_1M_2$, $ M_2M_3$, $ M_2q_1^2$, $ M_1^2$, $ M_1M_3$, $ M_1q_1^2$, $ M_3^2$, $ M_2\phi_1^2q_1$, $ M_3q_1^2$ $\phi_1^3q_1q_2$ -1 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^6.04 + t^6.41 + 2*t^6.45 + t^6.5 + t^6.91 + 4*t^6.95 + 3*t^6.99 - t^7.03 + 3*t^7.45 + 3*t^7.49 + t^7.53 + 2*t^7.9 + 5*t^7.94 + 4*t^7.99 + 3*t^8.03 + t^8.36 + 2*t^8.4 + 4*t^8.44 - t^8.48 - t^8.52 + t^8.81 + 2*t^8.85 + 3*t^8.9 + 3*t^8.94 - t^3.99/y - t^5.48/y - t^5.52/y - t^5.98/y - t^6.48/y - t^6.93/y - (2*t^6.97)/y - t^7.47/y - (2*t^7.97)/y - (2*t^8.01)/y - t^8.46/y - t^8.5/y + t^8.92/y - (2*t^8.96)/y - t^3.99*y - t^5.48*y - t^5.52*y - t^5.98*y - t^6.48*y - t^6.93*y - 2*t^6.97*y - t^7.47*y - 2*t^7.97*y - 2*t^8.01*y - t^8.46*y - t^8.5*y + t^8.92*y - 2*t^8.96*y t^2.48/g1^5 + t^2.94/g1^18 + (2*t^2.98)/g1^6 + t^3.48/g1^7 + t^3.97/g1^8 + 2*g1^4*t^4.01 + (2*t^4.97)/g1^10 + g1^2*t^5.01 + g1^14*t^5.05 + t^5.42/g1^23 + (2*t^5.46)/g1^11 + t^5.88/g1^36 + (2*t^5.92)/g1^24 + (3*t^5.96)/g1^12 - t^6. - g1^12*t^6.04 + t^6.41/g1^25 + (2*t^6.45)/g1^13 + t^6.5/g1 + t^6.91/g1^26 + (4*t^6.95)/g1^14 + (3*t^6.99)/g1^2 - g1^10*t^7.03 + (3*t^7.45)/g1^15 + (3*t^7.49)/g1^3 + g1^9*t^7.53 + (2*t^7.9)/g1^28 + (5*t^7.94)/g1^16 + (4*t^7.99)/g1^4 + 3*g1^8*t^8.03 + t^8.36/g1^41 + (2*t^8.4)/g1^29 + (4*t^8.44)/g1^17 - t^8.48/g1^5 - g1^7*t^8.52 + t^8.81/g1^54 + (2*t^8.85)/g1^42 + (3*t^8.9)/g1^30 + (3*t^8.94)/g1^18 - t^3.99/(g1^2*y) - t^5.48/(g1^5*y) - (g1^7*t^5.52)/y - t^5.98/(g1^6*y) - t^6.48/(g1^7*y) - t^6.93/(g1^20*y) - (2*t^6.97)/(g1^8*y) - t^7.47/(g1^9*y) - (2*t^7.97)/(g1^10*y) - (2*g1^2*t^8.01)/y - t^8.46/(g1^11*y) - (g1*t^8.5)/y + t^8.92/(g1^24*y) - (2*t^8.96)/(g1^12*y) - (t^3.99*y)/g1^2 - (t^5.48*y)/g1^5 - g1^7*t^5.52*y - (t^5.98*y)/g1^6 - (t^6.48*y)/g1^7 - (t^6.93*y)/g1^20 - (2*t^6.97*y)/g1^8 - (t^7.47*y)/g1^9 - (2*t^7.97*y)/g1^10 - 2*g1^2*t^8.01*y - (t^8.46*y)/g1^11 - g1*t^8.5*y + (t^8.92*y)/g1^24 - (2*t^8.96*y)/g1^12


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
45396 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ + $ M_3q_1q_2$ + $ M_1M_2$ 1.763 1.8499 0.953 [X:[1.3043], M:[1.1304, 0.8696, 1.0435], q:[0.5217, 0.4348], qb:[], phi:[0.3478]] t^2.61 + 2*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^5.74 - 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: 21450/12167, c: 22508/12167, X1: 30/23, M1: 26/23, M2: 20/23, M3: 24/23, q1: 12/23, q2: 10/23, phi1: 8/23}
45299 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ + $ M_3q_1q_2$ + $ M_4\phi_1^4$ 1.7984 1.9135 0.9399 [X:[1.3376], M:[0.9808, 0.828, 0.9936, 0.6752], q:[0.4968, 0.5096], qb:[], phi:[0.3312]] t^2.03 + t^2.48 + t^2.94 + 2*t^2.98 + t^3.48 + 2*t^4.01 + t^4.05 + t^4.51 + 3*t^4.97 + 3*t^5.01 + t^5.04 + t^5.43 + 2*t^5.46 + t^5.5 + 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


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
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]] 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 - t^4./y - (2*t^5.5)/y - t^6./y - t^4.*y - 2*t^5.5*y - t^6.*y detail
45043 SO5adj1nf2 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2$ 1.7632 1.8463 0.955 [X:[], M:[1.0184, 1.3293], q:[0.5031, 0.4908], qb:[], phi:[0.3354]] t^2.98 + t^3.02 + t^3.06 + t^3.48 + t^3.52 + 2*t^3.99 + t^4.02 + t^4.96 + t^4.99 + t^5.03 - t^4.01/y - t^5.48/y - t^5.52/y - t^4.01*y - t^5.48*y - t^5.52*y detail