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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
45337 SO5adj1nf2 $M_1q_1q_2$ + $ M_2q_1^2$ + $ M_3\phi_1^2q_1$ + $ M_2M_3$ + $ M_4\phi_1^2$ 1.7697 1.8616 0.9506 [X:[], M:[1.1037, 1.1572, 0.8428, 1.2642], q:[0.4214, 0.4749], qb:[], phi:[0.3679]] [X:[], M:[[-9], [-4], [4], [6]], q:[[2], [7]], qb:[], phi:[[-3]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_3$, $ q_2^2$, $ M_1$, $ M_2$, $ \phi_1^2q_2$, $ M_4$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ M_3^2$, $ \phi_1^2q_2^2$, $ M_3q_2^2$, $ q_2^4$ $\phi_1^3q_1q_2$ 0 t^2.53 + t^2.85 + t^3.31 + t^3.47 + t^3.63 + 2*t^3.79 + t^4.41 + t^4.74 + t^4.9 + 2*t^5.06 + t^5.38 + t^5.7 + t^6.16 + 3*t^6.32 + t^6.48 + t^6.62 + 2*t^6.64 + t^6.94 + 2*t^7.1 + 4*t^7.26 + 3*t^7.42 + 5*t^7.59 + t^7.73 + t^7.75 + t^7.89 + 2*t^7.91 + t^8.05 + 3*t^8.21 + t^8.23 + t^8.37 + 2*t^8.53 + t^8.55 + 2*t^8.69 + t^8.83 + 3*t^8.85 - t^4.1/y - t^5.37/y - t^5.53/y - t^6.31/y - t^6.63/y - t^6.95/y - t^7.41/y - t^7.58/y - t^7.74/y - (2*t^7.9)/y - t^8.06/y - t^8.22/y - t^8.52/y - t^8.84/y - t^4.1*y - t^5.37*y - t^5.53*y - t^6.31*y - t^6.63*y - t^6.95*y - t^7.41*y - t^7.58*y - t^7.74*y - 2*t^7.9*y - t^8.06*y - t^8.22*y - t^8.52*y - t^8.84*y g1^4*t^2.53 + g1^14*t^2.85 + t^3.31/g1^9 + t^3.47/g1^4 + g1*t^3.63 + 2*g1^6*t^3.79 + t^4.41/g1^12 + t^4.74/g1^2 + g1^3*t^4.9 + 2*g1^8*t^5.06 + g1^18*t^5.38 + g1^28*t^5.7 + g1^5*t^6.16 + 3*g1^10*t^6.32 + g1^15*t^6.48 + t^6.62/g1^18 + 2*g1^20*t^6.64 + t^6.94/g1^8 + (2*t^7.1)/g1^3 + 4*g1^2*t^7.26 + 3*g1^7*t^7.42 + 5*g1^12*t^7.59 + t^7.73/g1^21 + g1^17*t^7.75 + t^7.89/g1^16 + 2*g1^22*t^7.91 + t^8.05/g1^11 + (3*t^8.21)/g1^6 + g1^32*t^8.23 + t^8.37/g1 + 2*g1^4*t^8.53 + g1^42*t^8.55 + 2*g1^9*t^8.69 + t^8.83/g1^24 + 3*g1^14*t^8.85 - t^4.1/(g1^3*y) - t^5.37/(g1*y) - (g1^4*t^5.53)/y - t^6.31/(g1^9*y) - (g1*t^6.63)/y - (g1^11*t^6.95)/y - t^7.41/(g1^12*y) - t^7.58/(g1^7*y) - t^7.74/(g1^2*y) - (2*g1^3*t^7.9)/y - (g1^8*t^8.06)/y - (g1^13*t^8.22)/y - t^8.52/(g1^15*y) - t^8.84/(g1^5*y) - (t^4.1*y)/g1^3 - (t^5.37*y)/g1 - g1^4*t^5.53*y - (t^6.31*y)/g1^9 - g1*t^6.63*y - g1^11*t^6.95*y - (t^7.41*y)/g1^12 - (t^7.58*y)/g1^7 - (t^7.74*y)/g1^2 - 2*g1^3*t^7.9*y - g1^8*t^8.06*y - g1^13*t^8.22*y - (t^8.52*y)/g1^15 - (t^8.84*y)/g1^5


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
45482 $M_1q_1q_2$ + $ M_2q_1^2$ + $ M_3\phi_1^2q_1$ + $ M_2M_3$ + $ M_4\phi_1^2$ + $ M_2M_5$ 1.7834 1.8862 0.9455 [X:[], M:[1.1122, 1.161, 0.839, 1.2585, 0.839], q:[0.4195, 0.4683], qb:[], phi:[0.3707]] 2*t^2.52 + t^2.81 + t^3.34 + t^3.63 + 2*t^3.78 + t^4.45 + t^4.74 + t^4.89 + 4*t^5.03 + 2*t^5.33 + t^5.62 + t^5.85 - t^6. - t^4.11/y - t^5.37/y - t^5.52/y - t^4.11*y - t^5.37*y - t^5.52*y detail
45471 $M_1q_1q_2$ + $ M_2q_1^2$ + $ M_3\phi_1^2q_1$ + $ M_2M_3$ + $ M_4\phi_1^2$ + $ M_5q_2^2$ 1.7678 1.8572 0.9519 [X:[], M:[1.0642, 1.1396, 0.8604, 1.2905, 0.9888], q:[0.4302, 0.5056], qb:[], phi:[0.3547]] t^2.58 + t^2.97 + t^3.19 + t^3.42 + t^3.65 + 2*t^3.87 + t^4.26 + t^4.71 + t^4.94 + 2*t^5.16 + t^5.55 + t^5.93 - t^4.06/y - t^5.35/y - t^5.58/y - t^4.06*y - t^5.35*y - t^5.58*y detail
45509 $M_1q_1q_2$ + $ M_2q_1^2$ + $ M_3\phi_1^2q_1$ + $ M_2M_3$ + $ M_4\phi_1^2$ + $ q_2^4$ 1.7677 1.857 0.9519 [X:[], M:[1.0714, 1.1429, 0.8571, 1.2857], q:[0.4286, 0.5], qb:[], phi:[0.3571]] t^2.57 + t^3. + t^3.21 + t^3.43 + t^3.64 + 2*t^3.86 + t^4.29 + t^4.71 + t^4.93 + 2*t^5.14 + t^5.57 + t^6. - t^4.07/y - t^5.36/y - t^5.57/y - t^4.07*y - t^5.36*y - t^5.57*y detail {a: 38805/21952, c: 40765/21952, M1: 15/14, M2: 8/7, M3: 6/7, M4: 9/7, q1: 3/7, q2: 1/2, phi1: 5/14}


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
45234 SO5adj1nf2 $M_1q_1q_2$ + $ M_2q_1^2$ + $ M_3\phi_1^2q_1$ + $ M_2M_3$ 1.7893 1.8975 0.943 [X:[], M:[1.0978, 1.1546, 0.8454], q:[0.4227, 0.4795], qb:[], phi:[0.3659]] t^2.2 + t^2.54 + t^2.88 + t^3.29 + t^3.46 + t^3.63 + t^3.8 + 2*t^4.39 + 2*t^4.73 + t^4.9 + 3*t^5.07 + t^5.41 + t^5.49 + t^5.66 + t^5.75 + t^5.83 + t^6. - t^4.1/y - t^5.37/y - t^5.54/y - t^4.1*y - t^5.37*y - t^5.54*y detail