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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
45024 SO5adj1nf2 $q_1^3q_2$ + $ M_1q_1q_2$ + $ M_2\phi_1^2q_2$ 1.7998 1.9142 0.9402 [X:[], M:[1.0163, 0.847], q:[0.5082, 0.4755], qb:[], phi:[0.3388]] [X:[], M:[[-6], [-5]], q:[[-3], [9]], qb:[], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^2$, $ M_2$, $ q_2^2$, $ M_1$, $ q_1^2$, $ \phi_1^2q_1$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_2\phi_1^2$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ M_2^2$, $ M_1\phi_1^2$, $ \phi_1^2q_1^2$, $ M_2q_2^2$, $ M_1M_2$, $ \phi_1^4q_1$, $ M_2q_1^2$, $ q_2^4$, $ M_1q_2^2$ $2\phi_1^3q_1q_2$ 0 t^2.03 + t^2.54 + t^2.85 + 2*t^3.05 + t^3.56 + t^3.97 + 2*t^4.07 + t^4.57 + 2*t^4.89 + t^4.98 + 4*t^5.08 + t^5.39 + 3*t^5.59 + t^5.71 + t^5.9 + 5*t^6.1 + t^6.41 + 3*t^6.61 + t^6.82 + 2*t^6.92 + 2*t^7.02 + 6*t^7.11 + 2*t^7.43 + 2*t^7.52 + 6*t^7.62 + 2*t^7.74 + t^7.84 + 4*t^7.93 + 2*t^8.03 + 9*t^8.13 + t^8.25 + 2*t^8.44 - t^8.54 + t^8.56 + 7*t^8.64 + t^8.75 + 3*t^8.95 - t^4.02/y - t^5.44/y - t^5.54/y - (2*t^6.05)/y - t^6.56/y - t^6.87/y - (2*t^7.07)/y - t^7.48/y - t^7.57/y + t^7.89/y - t^7.98/y - (2*t^8.08)/y - t^8.3/y - t^8.49/y - t^4.02*y - t^5.44*y - t^5.54*y - 2*t^6.05*y - t^6.56*y - t^6.87*y - 2*t^7.07*y - t^7.48*y - t^7.57*y + t^7.89*y - t^7.98*y - 2*t^8.08*y - t^8.3*y - t^8.49*y t^2.03/g1^4 + t^2.54/g1^5 + g1^18*t^2.85 + (2*t^3.05)/g1^6 + t^3.56/g1^7 + g1^4*t^3.97 + (2*t^4.07)/g1^8 + t^4.57/g1^9 + 2*g1^14*t^4.89 + g1^2*t^4.98 + (4*t^5.08)/g1^10 + g1^13*t^5.39 + (3*t^5.59)/g1^11 + g1^36*t^5.71 + g1^12*t^5.9 + (5*t^6.1)/g1^12 + g1^11*t^6.41 + (3*t^6.61)/g1^13 + g1^22*t^6.82 + 2*g1^10*t^6.92 + (2*t^7.02)/g1^2 + (6*t^7.11)/g1^14 + 2*g1^9*t^7.43 + (2*t^7.52)/g1^3 + (6*t^7.62)/g1^15 + 2*g1^32*t^7.74 + g1^20*t^7.84 + 4*g1^8*t^7.93 + (2*t^8.03)/g1^4 + (9*t^8.13)/g1^16 + g1^31*t^8.25 + 2*g1^7*t^8.44 - t^8.54/g1^5 + g1^54*t^8.56 + (7*t^8.64)/g1^17 + g1^30*t^8.75 + 3*g1^6*t^8.95 - t^4.02/(g1^2*y) - (g1^7*t^5.44)/y - t^5.54/(g1^5*y) - (2*t^6.05)/(g1^6*y) - t^6.56/(g1^7*y) - (g1^16*t^6.87)/y - (2*t^7.07)/(g1^8*y) - (g1^3*t^7.48)/y - t^7.57/(g1^9*y) + (g1^14*t^7.89)/y - (g1^2*t^7.98)/y - (2*t^8.08)/(g1^10*y) - (g1^25*t^8.3)/y - (g1*t^8.49)/y - (t^4.02*y)/g1^2 - g1^7*t^5.44*y - (t^5.54*y)/g1^5 - (2*t^6.05*y)/g1^6 - (t^6.56*y)/g1^7 - g1^16*t^6.87*y - (2*t^7.07*y)/g1^8 - g1^3*t^7.48*y - (t^7.57*y)/g1^9 + g1^14*t^7.89*y - g1^2*t^7.98*y - (2*t^8.08*y)/g1^10 - g1^25*t^8.3*y - g1*t^8.49*y


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
45146 $q_1^3q_2$ + $ M_1q_1q_2$ + $ M_2\phi_1^2q_2$ + $ M_3\phi_1q_1q_2$ 1.8206 1.9552 0.9312 [X:[], M:[1.016, 0.8467, 0.6774], q:[0.508, 0.476], qb:[], phi:[0.3387]] 2*t^2.03 + t^2.54 + t^2.86 + 2*t^3.05 + t^3.56 + 4*t^4.06 + 2*t^4.57 + 3*t^4.89 + t^4.98 + 6*t^5.08 + t^5.4 + 4*t^5.59 + t^5.71 + t^5.9 - t^6. - t^4.02/y - t^5.44/y - t^5.54/y - t^4.02*y - t^5.44*y - t^5.54*y detail
45236 $q_1^3q_2$ + $ M_1q_1q_2$ + $ M_2\phi_1^2q_2$ + $ M_3\phi_1^2q_1$ 1.8156 1.942 0.9349 [X:[], M:[1.0222, 0.8518, 0.8074], q:[0.5111, 0.4667], qb:[], phi:[0.3407]] t^2.04 + t^2.42 + t^2.56 + t^2.8 + 2*t^3.07 + t^3.96 + 2*t^4.09 + t^4.47 + t^4.6 + 3*t^4.84 + 2*t^4.98 + 4*t^5.11 + t^5.22 + t^5.36 + 2*t^5.49 + t^5.6 + 2*t^5.62 + t^5.87 - t^4.02/y - t^5.42/y - t^5.56/y - t^4.02*y - t^5.42*y - t^5.56*y detail
45183 $q_1^3q_2$ + $ M_1q_1q_2$ + $ M_2\phi_1^2q_2$ + $ M_3\phi_1^2$ 1.779 1.8733 0.9497 [X:[], M:[1.0167, 0.8472, 1.3222], q:[0.5083, 0.475], qb:[], phi:[0.3389]] t^2.54 + t^2.85 + 2*t^3.05 + t^3.56 + 2*t^3.97 + t^4.07 + t^4.88 + t^4.98 + 2*t^5.08 + t^5.39 + 2*t^5.59 + t^5.7 + t^5.9 - t^6. - t^4.02/y - t^5.44/y - t^5.54/y - t^4.02*y - t^5.44*y - t^5.54*y detail
45223 $q_1^3q_2$ + $ M_1q_1q_2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2q_2^2$ + $ \phi_1^2X_1$ 1.641 1.7303 0.9484 [X:[1.4286], M:[0.8571, 0.7143], q:[0.4286, 0.7143], qb:[], phi:[0.2857]] t^2.14 + 2*t^2.57 + t^3. + t^3.43 + 5*t^4.29 + 2*t^4.71 + 4*t^5.14 + 2*t^5.57 + 2*t^6. - t^3.86/y - t^5.14/y - t^5.57/y - (2*t^6.)/y - t^3.86*y - t^5.14*y - t^5.57*y - 2*t^6.*y detail {a: 4503/2744, c: 1187/686, X1: 10/7, M1: 6/7, M2: 5/7, q1: 3/7, q2: 5/7, phi1: 2/7}


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
44933 SO5adj1nf2 $q_1^3q_2$ + $ M_1q_1q_2$ 1.7866 1.8917 0.9445 [X:[], M:[1.0214], q:[0.5107, 0.4679], qb:[], phi:[0.3405]] t^2.04 + t^2.81 + 2*t^3.06 + t^3.45 + t^3.57 + t^3.96 + 2*t^4.09 + 2*t^4.85 + t^4.98 + 3*t^5.11 + t^5.49 + 2*t^5.62 + t^5.87 - t^4.02/y - t^5.43/y - t^5.55/y - t^4.02*y - t^5.43*y - t^5.55*y detail