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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
46838 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_4M_6$ 0.6951 0.8535 0.8144 [X:[], M:[1.0236, 0.9385, 0.9764, 1.0457, 1.0079, 0.9543], q:[0.5229, 0.4535], qb:[0.5386, 0.5008], phi:[0.4961]] [X:[], M:[[6, 6], [-16, 4], [-6, -6], [12, -8], [2, 2], [-12, 8]], q:[[6, -4], [-12, -2]], qb:[[10, 0], [0, 10]], phi:[[-1, -1]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ M_6$, $ M_3$, $ \phi_1^2$, $ M_5$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_6$, $ M_6^2$, $ M_3M_6$, $ M_2\phi_1^2$, $ M_2M_5$, $ M_6\phi_1^2$, $ M_1M_2$, $ M_5M_6$, $ M_3\phi_1^2$, $ M_1M_6$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3M_5$, $ \phi_1^4$, $ M_6\tilde{q}_1\tilde{q}_2$ . -2 t^2.82 + t^2.86 + t^2.93 + t^2.98 + t^3.02 + t^3.07 + t^3.12 + t^4.21 + t^4.35 + t^4.42 + t^4.46 + t^4.49 + t^4.56 + t^4.61 + t^4.63 + t^4.67 + t^4.72 + t^5.63 + t^5.68 + t^5.73 + t^5.79 + 2*t^5.84 + t^5.89 + t^5.91 + t^5.93 + t^5.95 + t^5.98 - 2*t^6. + t^6.05 - t^6.07 + 2*t^6.09 - t^6.11 + t^6.14 + t^6.19 - t^6.21 + t^6.24 - t^6.26 + t^7.02 + t^7.07 + t^7.14 + t^7.17 + t^7.19 + t^7.21 + 2*t^7.28 + t^7.31 + 2*t^7.33 + t^7.36 + t^7.39 + 2*t^7.42 + t^7.44 + 2*t^7.47 + 2*t^7.54 + t^7.56 + 2*t^7.58 + t^7.61 + t^7.65 + t^7.68 + t^7.7 + t^7.72 + t^7.79 + t^7.84 + t^8.42 + t^8.45 + t^8.49 + t^8.54 + t^8.56 + t^8.59 + t^8.63 + 2*t^8.65 + 3*t^8.7 - t^8.72 + t^8.75 + 2*t^8.77 + t^8.8 - t^8.82 + t^8.83 + 2*t^8.84 - 3*t^8.86 + t^8.88 + 2*t^8.91 - 2*t^8.93 + 2*t^8.96 - 3*t^8.98 + t^8.99 - t^4.49/y - t^7.3/y + t^7.67/y + t^8.68/y + t^8.74/y + (2*t^8.79)/y + (2*t^8.84)/y + (2*t^8.89)/y + t^8.91/y + (2*t^8.93)/y + t^8.95/y + t^8.98/y - t^4.49*y - t^7.3*y + t^7.67*y + t^8.68*y + t^8.74*y + 2*t^8.79*y + 2*t^8.84*y + 2*t^8.89*y + t^8.91*y + 2*t^8.93*y + t^8.95*y + t^8.98*y (g2^4*t^2.82)/g1^16 + (g2^8*t^2.86)/g1^12 + t^2.93/(g1^6*g2^6) + t^2.98/(g1^2*g2^2) + g1^2*g2^2*t^3.02 + g1^6*g2^6*t^3.07 + g1^10*g2^10*t^3.12 + t^4.21/(g1^25*g2^5) + (g2^7*t^4.35)/g1^13 + t^4.42/(g1^7*g2^7) + t^4.46/(g1^3*g2^3) + (g2^19*t^4.49)/g1 + g1^5*g2^5*t^4.56 + g1^9*g2^9*t^4.61 + (g1^11*t^4.63)/g2^9 + (g1^15*t^4.67)/g2^5 + (g1^19*t^4.72)/g2 + (g2^8*t^5.63)/g1^32 + (g2^12*t^5.68)/g1^28 + (g2^16*t^5.73)/g1^24 + (g2^2*t^5.79)/g1^18 + (2*g2^6*t^5.84)/g1^14 + (g2^10*t^5.89)/g1^10 + t^5.91/(g1^8*g2^8) + (g2^14*t^5.93)/g1^6 + t^5.95/(g1^4*g2^4) + (g2^18*t^5.98)/g1^2 - 2*t^6. + g1^4*g2^4*t^6.05 - (g1^6*t^6.07)/g2^14 + 2*g1^8*g2^8*t^6.09 - (g1^10*t^6.11)/g2^10 + g1^12*g2^12*t^6.14 + g1^16*g2^16*t^6.19 - (g1^18*t^6.21)/g2^2 + g1^20*g2^20*t^6.24 - g1^22*g2^2*t^6.26 + t^7.02/(g1^41*g2) + (g2^3*t^7.07)/g1^37 + t^7.14/(g1^31*g2^11) + (g2^11*t^7.17)/g1^29 + t^7.19/(g1^27*g2^7) + (g2^15*t^7.21)/g1^25 + (2*g2*t^7.28)/g1^19 + (g2^23*t^7.31)/g1^17 + (2*g2^5*t^7.33)/g1^15 + (g2^27*t^7.36)/g1^13 + t^7.39/(g1^9*g2^9) + (2*g2^13*t^7.42)/g1^7 + t^7.44/(g1^5*g2^5) + (2*g2^17*t^7.47)/g1^3 + 2*g1^3*g2^3*t^7.54 + g1^5*g2^25*t^7.56 + 2*g1^7*g2^7*t^7.58 + g1^9*g2^29*t^7.61 + (g1^13*t^7.65)/g2^7 + g1^15*g2^15*t^7.68 + (g1^17*t^7.7)/g2^3 + g1^19*g2^19*t^7.72 + g1^25*g2^5*t^7.79 + g1^29*g2^9*t^7.84 + t^8.42/(g1^50*g2^10) + (g2^12*t^8.45)/g1^48 + (g2^16*t^8.49)/g1^44 + (g2^20*t^8.54)/g1^40 + (g2^2*t^8.56)/g1^38 + (g2^24*t^8.59)/g1^36 + t^8.63/(g1^32*g2^12) + (2*g2^10*t^8.65)/g1^30 + (3*g2^14*t^8.7)/g1^26 - t^8.72/(g1^24*g2^4) + (g2^18*t^8.75)/g1^22 + (2*t^8.77)/g1^20 + (g2^22*t^8.8)/g1^18 - (g2^4*t^8.82)/g1^16 + t^8.83/(g1^14*g2^14) + (2*g2^26*t^8.84)/g1^14 - (3*g2^8*t^8.86)/g1^12 + t^8.88/(g1^10*g2^10) + (2*g2^12*t^8.91)/g1^8 - (2*t^8.93)/(g1^6*g2^6) + (2*g2^16*t^8.96)/g1^4 - (3*t^8.98)/(g1^2*g2^2) + (g2^38*t^8.99)/g1^2 - t^4.49/(g1*g2*y) - (g2^3*t^7.3)/(g1^17*y) + (g1^15*t^7.67)/(g2^5*y) + (g2^12*t^8.68)/(g1^28*y) + t^8.74/(g1^22*g2^2*y) + (2*g2^2*t^8.79)/(g1^18*y) + (2*g2^6*t^8.84)/(g1^14*y) + (2*g2^10*t^8.89)/(g1^10*y) + t^8.91/(g1^8*g2^8*y) + (2*g2^14*t^8.93)/(g1^6*y) + t^8.95/(g1^4*g2^4*y) + (g2^18*t^8.98)/(g1^2*y) - (t^4.49*y)/(g1*g2) - (g2^3*t^7.3*y)/g1^17 + (g1^15*t^7.67*y)/g2^5 + (g2^12*t^8.68*y)/g1^28 + (t^8.74*y)/(g1^22*g2^2) + (2*g2^2*t^8.79*y)/g1^18 + (2*g2^6*t^8.84*y)/g1^14 + (2*g2^10*t^8.89*y)/g1^10 + (t^8.91*y)/(g1^8*g2^8) + (2*g2^14*t^8.93*y)/g1^6 + (t^8.95*y)/(g1^4*g2^4) + (g2^18*t^8.98*y)/g1^2


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
51490 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_4M_6$ + $ M_1M_6$ 0.6949 0.8521 0.8155 [X:[], M:[1.0309, 0.9485, 0.9691, 1.0309, 1.0103, 0.9691], q:[0.5154, 0.4537], qb:[0.536, 0.5154], phi:[0.4949]] t^2.85 + 2*t^2.91 + t^2.97 + t^3.03 + t^3.09 + t^3.15 + t^4.21 + 2*t^4.39 + t^4.45 + 3*t^4.58 + 2*t^4.64 + t^4.7 + t^5.69 + t^5.75 + 2*t^5.81 + 3*t^5.88 + 2*t^5.94 - 2*t^6. - t^4.48/y - t^4.48*y detail
55401 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_4M_6$ + $ M_5M_7$ 0.696 0.8546 0.8144 [X:[], M:[1.0313, 0.9364, 0.9687, 1.0428, 1.0104, 0.9572, 0.9896], q:[0.5214, 0.4473], qb:[0.5423, 0.5099], phi:[0.4948]] t^2.81 + t^2.87 + t^2.91 + 2*t^2.97 + t^3.09 + t^3.16 + t^4.17 + t^4.36 + t^4.39 + t^4.45 + t^4.54 + t^4.58 + t^4.61 + t^4.64 + t^4.68 + t^4.74 + t^5.62 + t^5.68 + t^5.74 + 2*t^5.78 + 2*t^5.84 + 2*t^5.87 + 2*t^5.94 + t^5.97 - 3*t^6. - t^4.48/y - t^4.48*y detail
54404 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_4M_6$ + $ M_7\phi_1^2$ 0.6945 0.8529 0.8142 [X:[], M:[1.016, 0.9408, 0.984, 1.0485, 1.0053, 0.9515, 1.0053], q:[0.5243, 0.4597], qb:[0.5349, 0.4917], phi:[0.4973]] t^2.82 + t^2.85 + t^2.95 + 2*t^3.02 + t^3.05 + t^3.08 + t^4.25 + t^4.35 + 2*t^4.44 + t^4.48 + t^4.54 + t^4.57 + t^4.64 + t^4.67 + t^4.7 + t^5.64 + t^5.68 + t^5.71 + 2*t^5.84 + 2*t^5.87 + t^5.9 + t^5.93 + t^5.97 - 3*t^6. - t^4.49/y - t^4.49*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
46623 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ 0.6935 0.8487 0.8171 [X:[], M:[1.0327, 0.99, 0.9673, 0.9882, 1.0109], q:[0.4941, 0.4732], qb:[0.5159, 0.5386], phi:[0.4946]] t^2.9 + t^2.96 + 2*t^2.97 + t^3.03 + t^3.1 + t^3.16 + t^4.32 + t^4.39 + 2*t^4.45 + t^4.51 + t^4.52 + 2*t^4.58 + t^4.65 + t^4.72 + t^5.87 + 3*t^5.93 + t^5.94 - t^4.48/y - t^4.48*y detail