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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
45089 SO5adj1nf2 $q_1^3q_2$ + $ M_1\phi_1^2q_2$ + $ M_2q_1^2$ 1.8043 1.9224 0.9385 [X:[], M:[0.8593, 0.9689], q:[0.5156, 0.4533], qb:[], phi:[0.3437]] [X:[], M:[[-5], [6]], q:[[-3], [9]], qb:[], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^2$, $ M_1$, $ q_2^2$, $ M_2$, $ q_1q_2$, $ \phi_1^2q_1$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_1\phi_1^2$, $ \phi_1^2q_2^2$, $ M_2\phi_1^2$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ \phi_1^2q_1^2$, $ M_1q_2^2$, $ q_2^4$, $ M_1M_2$, $ M_1q_1q_2$, $ M_2q_2^2$, $ q_1q_2^3$, $ \phi_1^4q_1$, $ M_2^2$, $ M_2q_1q_2$ $2\phi_1^3q_1q_2$ 0 t^2.06 + t^2.58 + t^2.72 + 2*t^2.91 + t^3.61 + t^3.94 + 2*t^4.12 + t^4.64 + 2*t^4.78 + 3*t^4.97 + 2*t^5.16 + t^5.3 + t^5.44 + 2*t^5.48 + 2*t^5.63 + t^5.67 + 2*t^5.81 + 2*t^6.19 + t^6.33 + 2*t^6.52 + t^6.66 + t^6.7 + 4*t^6.84 + 4*t^7.03 + 2*t^7.22 + 2*t^7.36 + 2*t^7.5 + 4*t^7.55 + 5*t^7.69 + 4*t^7.73 + 5*t^7.88 + t^8.02 + 4*t^8.06 + t^8.16 + 2*t^8.2 + 2*t^8.25 + 2*t^8.35 + 3*t^8.39 + 2*t^8.53 + t^8.58 + 2*t^8.72 + 2*t^8.76 + 2*t^8.91 - t^4.03/y - t^5.39/y - t^5.58/y - (2*t^6.09)/y - t^6.61/y - t^6.75/y - (2*t^6.94)/y - t^7.45/y - t^7.64/y + t^7.78/y + t^7.97/y - t^8.11/y - (4*t^8.16)/y - (2*t^8.3)/y + t^8.48/y + (2*t^8.63)/y - t^8.81/y - t^4.03*y - t^5.39*y - t^5.58*y - 2*t^6.09*y - t^6.61*y - t^6.75*y - 2*t^6.94*y - t^7.45*y - t^7.64*y + t^7.78*y + t^7.97*y - t^8.11*y - 4*t^8.16*y - 2*t^8.3*y + t^8.48*y + 2*t^8.63*y - t^8.81*y t^2.06/g1^4 + t^2.58/g1^5 + g1^18*t^2.72 + 2*g1^6*t^2.91 + t^3.61/g1^7 + g1^4*t^3.94 + (2*t^4.12)/g1^8 + t^4.64/g1^9 + 2*g1^14*t^4.78 + 3*g1^2*t^4.97 + (2*t^5.16)/g1^10 + g1^13*t^5.3 + g1^36*t^5.44 + 2*g1*t^5.48 + 2*g1^24*t^5.63 + t^5.67/g1^11 + 2*g1^12*t^5.81 + (2*t^6.19)/g1^12 + g1^11*t^6.33 + (2*t^6.52)/g1 + g1^22*t^6.66 + t^6.7/g1^13 + 4*g1^10*t^6.84 + (4*t^7.03)/g1^2 + (2*t^7.22)/g1^14 + 2*g1^9*t^7.36 + 2*g1^32*t^7.5 + (4*t^7.55)/g1^3 + 5*g1^20*t^7.69 + (4*t^7.73)/g1^15 + 5*g1^8*t^7.88 + g1^31*t^8.02 + (4*t^8.06)/g1^4 + g1^54*t^8.16 + 2*g1^19*t^8.2 + (2*t^8.25)/g1^16 + 2*g1^42*t^8.35 + 3*g1^7*t^8.39 + 2*g1^30*t^8.53 + t^8.58/g1^5 + 2*g1^18*t^8.72 + (2*t^8.76)/g1^17 + 2*g1^6*t^8.91 - t^4.03/(g1^2*y) - (g1^7*t^5.39)/y - t^5.58/(g1^5*y) - (2*t^6.09)/(g1^6*y) - t^6.61/(g1^7*y) - (g1^16*t^6.75)/y - (2*g1^4*t^6.94)/y - (g1^3*t^7.45)/y - t^7.64/(g1^9*y) + (g1^14*t^7.78)/y + (g1^2*t^7.97)/y - (g1^25*t^8.11)/y - (4*t^8.16)/(g1^10*y) - (2*g1^13*t^8.3)/y + (g1*t^8.48)/y + (2*g1^24*t^8.63)/y - (g1^12*t^8.81)/y - (t^4.03*y)/g1^2 - g1^7*t^5.39*y - (t^5.58*y)/g1^5 - (2*t^6.09*y)/g1^6 - (t^6.61*y)/g1^7 - g1^16*t^6.75*y - 2*g1^4*t^6.94*y - g1^3*t^7.45*y - (t^7.64*y)/g1^9 + g1^14*t^7.78*y + g1^2*t^7.97*y - g1^25*t^8.11*y - (4*t^8.16*y)/g1^10 - 2*g1^13*t^8.3*y + g1*t^8.48*y + 2*g1^24*t^8.63*y - g1^12*t^8.81*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
45118 $q_1^3q_2$ + $ M_1\phi_1^2q_2$ + $ M_2q_1^2$ + $ M_1q_2^2$ + $ \phi_1^2X_1$ 1.715 1.7967 0.9545 [X:[1.3846], M:[0.7692, 1.0769], q:[0.4615, 0.6154], qb:[], phi:[0.3077]] t^2.31 + 3*t^3.23 + 2*t^3.69 + 2*t^4.15 + 2*t^4.62 + t^5.08 + 3*t^5.54 - t^3.92/y - t^5.31/y - (2*t^5.77)/y - t^3.92*y - t^5.31*y - 2*t^5.77*y detail {a: 60285/35152, c: 31579/17576, X1: 18/13, M1: 10/13, M2: 14/13, q1: 6/13, q2: 8/13, phi1: 4/13}
45206 $q_1^3q_2$ + $ M_1\phi_1^2q_2$ + $ M_2q_1^2$ + $ M_3\phi_1q_1q_2$ 1.825 1.9626 0.9299 [X:[], M:[0.8588, 0.9694, 0.687], q:[0.5153, 0.4542], qb:[], phi:[0.3435]] 2*t^2.06 + t^2.58 + t^2.72 + 2*t^2.91 + t^3.61 + 4*t^4.12 + 2*t^4.64 + 3*t^4.79 + 5*t^4.97 + 2*t^5.15 + t^5.3 + t^5.45 + 2*t^5.48 + 2*t^5.63 + 2*t^5.67 + 2*t^5.82 - t^6. - t^4.03/y - t^5.39/y - t^5.58/y - t^4.03*y - t^5.39*y - t^5.58*y detail
45224 $q_1^3q_2$ + $ M_1\phi_1^2q_2$ + $ M_2q_1^2$ + $ \phi_1^2q_2^2$ + $ \phi_1^2X_1$ 1.6159 1.6873 0.9577 [X:[1.4286], M:[0.7143, 1.1429], q:[0.4286, 0.7143], qb:[], phi:[0.2857]] t^2.14 + t^3. + 3*t^3.43 + 5*t^4.29 + t^5.14 + 2*t^5.57 - 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: 2217/1372, c: 2315/1372, X1: 10/7, M1: 5/7, M2: 8/7, 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
44937 SO5adj1nf2 $q_1^3q_2$ + $ M_1\phi_1^2q_2$ 1.8017 1.9175 0.9396 [X:[], M:[0.8532], q:[0.5119, 0.4643], qb:[], phi:[0.3413]] t^2.05 + t^2.56 + t^2.79 + t^2.93 + t^3.07 + t^3.58 + t^3.95 + 2*t^4.1 + t^4.61 + 2*t^4.83 + 2*t^4.98 + 3*t^5.12 + t^5.35 + t^5.49 + t^5.57 + 2*t^5.63 + t^5.71 + t^5.86 + t^6. - 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