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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
44948 SO5adj1nf2 $M_1q_1q_2$ + $ M_2q_1^2$ 1.7899 1.8957 0.9442 [X:[], M:[1.0484, 1.006], q:[0.497, 0.4546], qb:[], phi:[0.3495]] [X:[], M:[[-3, -3], [-6, 0]], q:[[3, 0], [0, 3]], qb:[], phi:[[-1, -1]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^2$, $ q_2^2$, $ M_2$, $ M_1$, $ \phi_1^2q_2$, $ \phi_1^2q_1$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_1^2$, $ M_2\phi_1^2$, $ M_1\phi_1^2$, $ q_2^4$, $ \phi_1^4q_2$, $ \phi_1^4q_1$, $ M_2q_2^2$ $2\phi_1^3q_1q_2$ 0 t^2.1 + t^2.73 + t^3.02 + t^3.15 + t^3.46 + t^3.59 + t^3.9 + 2*t^4.19 + 2*t^4.82 + t^4.95 + t^5.08 + t^5.11 + t^5.24 + t^5.46 + t^5.56 + t^5.68 + t^5.75 + t^6.04 - t^6.13 + t^6.16 + t^6.19 + 3*t^6.29 + t^6.32 + t^6.48 + t^6.61 + t^6.63 + 4*t^6.92 + 2*t^7.05 + t^7.18 + 2*t^7.21 + 2*t^7.34 + t^7.36 + t^7.49 + 2*t^7.55 + 2*t^7.65 + t^7.68 + 2*t^7.78 + t^7.81 + 2*t^7.84 + t^7.97 + 2*t^8.1 + t^8.13 + t^8.18 - t^8.22 + t^8.26 + 2*t^8.29 + 4*t^8.39 + 2*t^8.41 + t^8.47 + t^8.54 + t^8.58 + t^8.67 + t^8.7 + t^8.76 - t^8.85 + t^8.92 - t^4.05/y - t^5.41/y - t^5.54/y - (2*t^6.15)/y - t^6.78/y - t^7.07/y - t^7.19/y - (2*t^7.51)/y - (2*t^7.64)/y + t^7.82/y + t^8.11/y - t^8.14/y - (2*t^8.24)/y - t^8.27/y - t^8.43/y + t^8.68/y + t^8.75/y - (2*t^8.87)/y - t^4.05*y - t^5.41*y - t^5.54*y - 2*t^6.15*y - t^6.78*y - t^7.07*y - t^7.19*y - 2*t^7.51*y - 2*t^7.64*y + t^7.82*y + t^8.11*y - t^8.14*y - 2*t^8.24*y - t^8.27*y - t^8.43*y + t^8.68*y + t^8.75*y - 2*t^8.87*y t^2.1/(g1^2*g2^2) + g2^6*t^2.73 + t^3.02/g1^6 + t^3.15/(g1^3*g2^3) + (g2*t^3.46)/g1^2 + (g1*t^3.59)/g2^2 + g1^2*g2^2*t^3.9 + (2*t^4.19)/(g1^4*g2^4) + (2*g2^4*t^4.82)/g1^2 + g1*g2*t^4.95 + (g1^4*t^5.08)/g2^2 + t^5.11/(g1^8*g2^2) + t^5.24/(g1^5*g2^5) + g2^12*t^5.46 + t^5.56/(g1^4*g2) + t^5.68/(g1*g2^4) + (g2^6*t^5.75)/g1^6 + t^6.04/g1^12 - (g1^3*t^6.13)/g2^3 + t^6.16/(g1^9*g2^3) + (g2^7*t^6.19)/g1^2 + (3*t^6.29)/(g1^6*g2^6) + g1*g2^4*t^6.32 + (g2*t^6.48)/g1^8 + t^6.61/(g1^5*g2^2) + g1^2*g2^8*t^6.63 + (4*g2^2*t^6.92)/g1^4 + (2*t^7.05)/(g1*g2) + (g1^2*t^7.18)/g2^4 + (2*t^7.21)/(g1^10*g2^4) + (2*t^7.34)/(g1^7*g2^7) + g2^3*t^7.36 + g1^3*t^7.49 + (2*g2^10*t^7.55)/g1^2 + (2*t^7.65)/(g1^6*g2^3) + g1*g2^7*t^7.68 + (2*t^7.78)/(g1^3*g2^6) + g1^4*g2^4*t^7.81 + (2*g2^4*t^7.84)/g1^8 + (g2*t^7.97)/g1^5 + (2*t^8.1)/(g1^2*g2^2) + t^8.13/(g1^14*g2^2) + g2^18*t^8.18 - (g1*t^8.22)/g2^5 + t^8.26/(g1^11*g2^5) + (2*g2^5*t^8.29)/g1^4 + (4*t^8.39)/(g1^8*g2^8) + (2*g2^2*t^8.41)/g1 + (g2^12*t^8.47)/g1^6 + (g1^2*t^8.54)/g2 + t^8.58/(g1^10*g2) + (g1^5*t^8.67)/g2^4 + t^8.7/(g1^7*g2^4) + (g2^6*t^8.76)/g1^12 - g1^3*g2^3*t^8.85 + (g2^13*t^8.92)/g1^2 - t^4.05/(g1*g2*y) - (g2^2*t^5.41)/(g1*y) - (g1^2*t^5.54)/(g2*y) - (2*t^6.15)/(g1^3*g2^3*y) - (g2^5*t^6.78)/(g1*y) - t^7.07/(g1^7*g2*y) - t^7.19/(g1^4*g2^4*y) - (2*t^7.51)/(g1^3*y) - (2*t^7.64)/(g2^3*y) + (g2^4*t^7.82)/(g1^2*y) + t^8.11/(g1^8*g2^2*y) - (g2^8*t^8.14)/(g1*y) - (2*t^8.24)/(g1^5*g2^5*y) - (g1^2*g2^5*t^8.27)/y - (g2^2*t^8.43)/(g1^7*y) + t^8.68/(g1*g2^4*y) + (g2^6*t^8.75)/(g1^6*y) - (2*g2^3*t^8.87)/(g1^3*y) - (t^4.05*y)/(g1*g2) - (g2^2*t^5.41*y)/g1 - (g1^2*t^5.54*y)/g2 - (2*t^6.15*y)/(g1^3*g2^3) - (g2^5*t^6.78*y)/g1 - (t^7.07*y)/(g1^7*g2) - (t^7.19*y)/(g1^4*g2^4) - (2*t^7.51*y)/g1^3 - (2*t^7.64*y)/g2^3 + (g2^4*t^7.82*y)/g1^2 + (t^8.11*y)/(g1^8*g2^2) - (g2^8*t^8.14*y)/g1 - (2*t^8.24*y)/(g1^5*g2^5) - g1^2*g2^5*t^8.27*y - (g2^2*t^8.43*y)/g1^7 + (t^8.68*y)/(g1*g2^4) + (g2^6*t^8.75*y)/g1^6 - (2*g2^3*t^8.87*y)/g1^3


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
45060 $M_1q_1q_2$ + $ M_2q_1^2$ + $ M_1\phi_1^2$ 1.7528 1.8545 0.9452 [X:[], M:[1.2, 1.1729], q:[0.4135, 0.3865], qb:[], phi:[0.4]] t^2.32 + t^2.4 + t^3.52 + t^3.56 + 2*t^3.6 + t^3.64 + t^4.64 + 2*t^4.72 + 3*t^4.8 + t^4.88 + t^5.84 + t^5.88 + 2*t^5.92 + 2*t^5.96 + t^6. - t^4.2/y - t^5.36/y - t^5.44/y - t^4.2*y - t^5.36*y - t^5.44*y detail
44996 $M_1q_1q_2$ + $ M_2q_1^2$ + $ M_3\phi_1^2q_1$ 1.8063 1.9256 0.9381 [X:[], M:[1.0509, 0.9953, 0.7971], q:[0.5024, 0.4468], qb:[], phi:[0.3503]] t^2.1 + t^2.39 + t^2.68 + t^2.99 + t^3.15 + t^3.44 + t^3.9 + 2*t^4.2 + t^4.49 + 3*t^4.78 + t^4.95 + t^5.07 + t^5.09 + t^5.12 + t^5.25 + t^5.36 + t^5.38 + 2*t^5.54 + t^5.67 + t^5.83 + t^5.97 - t^4.05/y - t^5.39/y - t^5.56/y - t^4.05*y - t^5.39*y - t^5.56*y detail
45064 $M_1q_1q_2$ + $ M_2q_1^2$ + $ M_3\phi_1^2$ 1.7693 1.8564 0.9531 [X:[], M:[1.0521, 1.0098, 1.2986], q:[0.4951, 0.4529], qb:[], phi:[0.3507]] t^2.72 + t^3.03 + t^3.16 + t^3.46 + t^3.59 + 2*t^3.9 + t^4.21 + t^4.82 + t^4.95 + t^5.07 + t^5.43 + t^5.75 - t^6. - t^4.05/y - t^5.41/y - t^5.54/y - t^4.05*y - t^5.41*y - t^5.54*y detail
45051 $M_1q_1q_2$ + $ M_2q_1^2$ + $ \phi_1^4q_1$ 1.7716 1.8801 0.9423 [X:[], M:[1.1325, 1.02], q:[0.49, 0.3775], qb:[], phi:[0.3775]] 2*t^2.26 + t^3.06 + 2*t^3.4 + 2*t^3.74 + 5*t^4.53 + t^4.87 + t^5.21 + 2*t^5.32 + 3*t^5.66 + 3*t^6. - t^4.13/y - t^5.26/y - t^5.6/y - t^4.13*y - t^5.26*y - t^5.6*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}