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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
44950 SO5adj1nf2 $M_1q_1q_2$ + $ \phi_1^4q_1$ 1.7768 1.8876 0.9413 [X:[], M:[1.159], q:[0.4547, 0.3863], qb:[], phi:[0.3863]] [X:[], M:[[3]], q:[[-4], [1]], qb:[], phi:[[1]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^2$, $ q_2^2$, $ q_1^2$, $ M_1$, $ \phi_1^2q_2$, $ \phi_1^2q_1$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_2^2$, $ q_2^4$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_1^2$, $ q_1^2q_2^2$, $ q_1^4$, $ M_1\phi_1^2$, $ \phi_1^4q_2$, $ \phi_1^2q_2^3$ $2\phi_1^3q_1q_2$, $ \phi_1^2q_1q_2^2$, $ \phi_1q_1q_2^3$ 3 2*t^2.32 + t^2.73 + 2*t^3.48 + 2*t^3.68 + 5*t^4.64 + t^4.84 + 3*t^5.05 + t^5.46 + 3*t^5.79 + 3*t^6. + t^6.21 + 2*t^6.41 + 9*t^6.95 + 4*t^7.16 + 8*t^7.36 + t^7.57 + 3*t^7.77 + 7*t^8.11 + t^8.18 + 7*t^8.32 + 2*t^8.52 + 4*t^8.73 + t^8.93 - t^4.16/y - t^5.32/y - t^5.52/y - (3*t^6.48)/y - t^6.89/y - (3*t^7.64)/y - (3*t^7.84)/y + t^8.05/y - t^8.25/y - (3*t^8.79)/y - t^4.16*y - t^5.32*y - t^5.52*y - 3*t^6.48*y - t^6.89*y - 3*t^7.64*y - 3*t^7.84*y + t^8.05*y - t^8.25*y - 3*t^8.79*y 2*g1^2*t^2.32 + t^2.73/g1^8 + 2*g1^3*t^3.48 + (2*t^3.68)/g1^2 + 5*g1^4*t^4.64 + t^4.84/g1 + (3*t^5.05)/g1^6 + t^5.46/g1^16 + 3*g1^5*t^5.79 + 3*t^6. + t^6.21/g1^5 + (2*t^6.41)/g1^10 + 9*g1^6*t^6.95 + 4*g1*t^7.16 + (8*t^7.36)/g1^4 + t^7.57/g1^9 + (3*t^7.77)/g1^14 + 7*g1^7*t^8.11 + t^8.18/g1^24 + 7*g1^2*t^8.32 + (2*t^8.52)/g1^3 + (4*t^8.73)/g1^8 + t^8.93/g1^13 - (g1*t^4.16)/y - (g1^2*t^5.32)/y - t^5.52/(g1^3*y) - (3*g1^3*t^6.48)/y - t^6.89/(g1^7*y) - (3*g1^4*t^7.64)/y - (3*t^7.84)/(g1*y) + t^8.05/(g1^6*y) - t^8.25/(g1^11*y) - (3*g1^5*t^8.79)/y - g1*t^4.16*y - g1^2*t^5.32*y - (t^5.52*y)/g1^3 - 3*g1^3*t^6.48*y - (t^6.89*y)/g1^7 - 3*g1^4*t^7.64*y - (3*t^7.84*y)/g1 + (t^8.05*y)/g1^6 - (t^8.25*y)/g1^11 - 3*g1^5*t^8.79*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
45011 $M_1q_1q_2$ + $ \phi_1^4q_1$ + $ M_2\phi_1q_1q_2$ 1.7949 1.9199 0.9349 [X:[], M:[1.1556, 0.7704], q:[0.4593, 0.3852], qb:[], phi:[0.3852]] 3*t^2.31 + t^2.76 + 2*t^3.47 + t^3.69 + 8*t^4.62 + t^4.84 + 4*t^5.07 + t^5.51 + 5*t^5.78 + 2*t^6. - t^4.16/y - t^5.31/y - t^5.53/y - t^4.16*y - t^5.31*y - t^5.53*y detail {a: 29077/16200, c: 15551/8100, M1: 52/45, M2: 104/135, q1: 62/135, q2: 52/135, phi1: 52/135}
44986 $M_1q_1q_2$ + $ \phi_1^4q_1$ + $ M_2q_2^2$ 1.7589 1.8557 0.9478 [X:[], M:[1.1625, 1.225], q:[0.45, 0.3875], qb:[], phi:[0.3875]] t^2.32 + t^2.7 + 2*t^3.49 + 3*t^3.68 + 3*t^4.65 + t^4.84 + 2*t^5.03 + t^5.4 + t^5.81 + 2*t^6. - t^4.16/y - t^5.32/y - t^5.51/y - t^4.16*y - t^5.32*y - t^5.51*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
44923 SO5adj1nf2 $M_1q_1q_2$ 1.7938 1.9011 0.9435 [X:[], M:[1.0769], q:[0.4615, 0.4615], qb:[], phi:[0.359]] t^2.15 + 2*t^2.77 + t^3.23 + 2*t^3.54 + t^3.85 + 2*t^4.31 + 5*t^4.92 + t^5.38 + 3*t^5.54 + 2*t^5.69 - t^4.08/y - (2*t^5.46)/y - t^4.08*y - 2*t^5.46*y detail {a: 14551/8112, c: 7711/4056, M1: 14/13, q1: 6/13, q2: 6/13, phi1: 14/39}