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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
1753 SU2adj1nf2 $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1^2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5q_2\tilde{q}_1$ 0.6689 0.8351 0.801 [X:[], M:[1.3008, 0.6951, 0.7072, 0.6911, 0.6951], q:[0.8252, 0.8252], qb:[0.4797, 0.4716], phi:[0.3496]] [X:[], M:[[4, 4], [-7, -1], [2, -10], [-10, 2], [-7, -1]], q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -2]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_4$, $ M_2$, $ M_5$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_2M_4$, $ M_4M_5$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ M_3M_4$, $ M_2M_3$, $ M_3M_5$, $ M_3^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_1M_4$, $ M_5q_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_1M_5$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ . -3 t^2.07 + 2*t^2.09 + t^2.12 + t^2.85 + 2*t^3.89 + 2*t^3.9 + t^4.15 + 2*t^4.16 + 3*t^4.17 + t^4.2 + 2*t^4.21 + t^4.24 + t^4.93 + 2*t^4.94 + t^4.95 + t^4.98 + t^5.71 + 2*t^5.96 + 5*t^5.98 + 2*t^5.99 - 3*t^6. + t^6.02 + t^6.22 + 2*t^6.23 + 3*t^6.24 + 4*t^6.26 + t^6.27 + 2*t^6.28 + 3*t^6.29 + t^6.32 + 2*t^6.33 + t^6.37 + 2*t^6.74 + 2*t^6.76 + t^7. + 2*t^7.01 + 3*t^7.02 - t^7.05 + t^7.1 + 3*t^7.78 + 4*t^7.79 + t^7.8 - 2*t^7.82 + 2*t^8.04 + 5*t^8.05 + 6*t^8.06 - t^8.07 - 6*t^8.09 + t^8.1 - 3*t^8.12 + t^8.15 + t^8.29 + 2*t^8.31 + 3*t^8.32 + 4*t^8.33 + 6*t^8.34 + 2*t^8.35 + 3*t^8.37 + 4*t^8.38 + t^8.39 + 2*t^8.4 + 3*t^8.41 + t^8.44 + 2*t^8.45 + t^8.49 + t^8.56 + 2*t^8.82 + 4*t^8.83 + 2*t^8.84 - 3*t^8.85 - 2*t^8.87 - t^4.05/y - t^6.12/y - (2*t^6.13)/y - t^6.17/y + (2*t^7.16)/y + t^7.17/y + t^7.2/y + (2*t^7.21)/y + (2*t^7.93)/y + (2*t^7.94)/y + (2*t^7.96)/y + (2*t^7.98)/y - t^8.2/y - (2*t^8.21)/y - (3*t^8.22)/y - t^8.24/y - (2*t^8.26)/y - t^8.29/y + (2*t^8.96)/y + (6*t^8.98)/y + (4*t^8.99)/y - t^4.05*y - t^6.12*y - 2*t^6.13*y - t^6.17*y + 2*t^7.16*y + t^7.17*y + t^7.2*y + 2*t^7.21*y + 2*t^7.93*y + 2*t^7.94*y + 2*t^7.96*y + 2*t^7.98*y - t^8.2*y - 2*t^8.21*y - 3*t^8.22*y - t^8.24*y - 2*t^8.26*y - t^8.29*y + 2*t^8.96*y + 6*t^8.98*y + 4*t^8.99*y (g2^2*t^2.07)/g1^10 + (2*t^2.09)/(g1^7*g2) + (g1^2*t^2.12)/g2^10 + g1^6*g2^6*t^2.85 + 2*g1*g2^7*t^3.89 + 2*g1^4*g2^4*t^3.9 + (g2^4*t^4.15)/g1^20 + (2*g2*t^4.16)/g1^17 + (3*t^4.17)/(g1^14*g2^2) + t^4.2/(g1^8*g2^8) + (2*t^4.21)/(g1^5*g2^11) + (g1^4*t^4.24)/g2^20 + (g2^8*t^4.93)/g1^4 + (2*g2^5*t^4.94)/g1 + g1^2*g2^2*t^4.95 + (g1^8*t^4.98)/g2^4 + g1^12*g2^12*t^5.71 + (2*g2^9*t^5.96)/g1^9 + (5*g2^6*t^5.98)/g1^6 + (2*g2^3*t^5.99)/g1^3 - 3*t^6. + (g1^6*t^6.02)/g2^6 + (g2^6*t^6.22)/g1^30 + (2*g2^3*t^6.23)/g1^27 + (3*t^6.24)/g1^24 + (4*t^6.26)/(g1^21*g2^3) + t^6.27/(g1^18*g2^6) + (2*t^6.28)/(g1^15*g2^9) + (3*t^6.29)/(g1^12*g2^12) + t^6.32/(g1^6*g2^18) + (2*t^6.33)/(g1^3*g2^21) + (g1^6*t^6.37)/g2^30 + 2*g1^7*g2^13*t^6.74 + 2*g1^10*g2^10*t^6.76 + (g2^10*t^7.)/g1^14 + (2*g2^7*t^7.01)/g1^11 + (3*g2^4*t^7.02)/g1^8 - t^7.05/(g1^2*g2^2) + (g1^10*t^7.1)/g2^14 + 3*g1^2*g2^14*t^7.78 + 4*g1^5*g2^11*t^7.79 + g1^8*g2^8*t^7.8 - 2*g1^11*g2^5*t^7.82 + (2*g2^11*t^8.04)/g1^19 + (5*g2^8*t^8.05)/g1^16 + (6*g2^5*t^8.06)/g1^13 - (g2^2*t^8.07)/g1^10 - (6*t^8.09)/(g1^7*g2) + t^8.1/(g1^4*g2^4) - (3*g1^2*t^8.12)/g2^10 + (g1^8*t^8.15)/g2^16 + (g2^8*t^8.29)/g1^40 + (2*g2^5*t^8.31)/g1^37 + (3*g2^2*t^8.32)/g1^34 + (4*t^8.33)/(g1^31*g2) + (6*t^8.34)/(g1^28*g2^4) + (2*t^8.35)/(g1^25*g2^7) + (3*t^8.37)/(g1^22*g2^10) + (4*t^8.38)/(g1^19*g2^13) + t^8.39/(g1^16*g2^16) + (2*t^8.4)/(g1^13*g2^19) + (3*t^8.41)/(g1^10*g2^22) + t^8.44/(g1^4*g2^28) + (2*t^8.45)/(g1*g2^31) + (g1^8*t^8.49)/g2^40 + g1^18*g2^18*t^8.56 + (2*g2^15*t^8.82)/g1^3 + 4*g2^12*t^8.83 + 2*g1^3*g2^9*t^8.84 - 3*g1^6*g2^6*t^8.85 - 2*g1^9*g2^3*t^8.87 - t^4.05/(g1^2*g2^2*y) - t^6.12/(g1^12*y) - (2*t^6.13)/(g1^9*g2^3*y) - t^6.17/(g2^12*y) + (2*g2*t^7.16)/(g1^17*y) + t^7.17/(g1^14*g2^2*y) + t^7.2/(g1^8*g2^8*y) + (2*t^7.21)/(g1^5*g2^11*y) + (2*g2^8*t^7.93)/(g1^4*y) + (2*g2^5*t^7.94)/(g1*y) + (2*g1^5*t^7.96)/(g2*y) + (2*g1^8*t^7.98)/(g2^4*y) - (g2^2*t^8.2)/(g1^22*y) - (2*t^8.21)/(g1^19*g2*y) - (3*t^8.22)/(g1^16*g2^4*y) - t^8.24/(g1^10*g2^10*y) - (2*t^8.26)/(g1^7*g2^13*y) - (g1^2*t^8.29)/(g2^22*y) + (2*g2^9*t^8.96)/(g1^9*y) + (6*g2^6*t^8.98)/(g1^6*y) + (4*g2^3*t^8.99)/(g1^3*y) - (t^4.05*y)/(g1^2*g2^2) - (t^6.12*y)/g1^12 - (2*t^6.13*y)/(g1^9*g2^3) - (t^6.17*y)/g2^12 + (2*g2*t^7.16*y)/g1^17 + (t^7.17*y)/(g1^14*g2^2) + (t^7.2*y)/(g1^8*g2^8) + (2*t^7.21*y)/(g1^5*g2^11) + (2*g2^8*t^7.93*y)/g1^4 + (2*g2^5*t^7.94*y)/g1 + (2*g1^5*t^7.96*y)/g2 + (2*g1^8*t^7.98*y)/g2^4 - (g2^2*t^8.2*y)/g1^22 - (2*t^8.21*y)/(g1^19*g2) - (3*t^8.22*y)/(g1^16*g2^4) - (t^8.24*y)/(g1^10*g2^10) - (2*t^8.26*y)/(g1^7*g2^13) - (g1^2*t^8.29*y)/g2^22 + (2*g2^9*t^8.96*y)/g1^9 + (6*g2^6*t^8.98*y)/g1^6 + (4*g2^3*t^8.99*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


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
235 SU2adj1nf2 $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1^2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1^2$ 0.6484 0.7955 0.8151 [X:[], M:[1.2971, 0.7005, 0.7076, 0.6981], q:[0.8243, 0.8243], qb:[0.4752, 0.4705], phi:[0.3514]] t^2.09 + t^2.1 + t^2.12 + t^2.84 + 2*t^3.88 + 2*t^3.89 + t^3.9 + t^4.19 + 2*t^4.2 + 2*t^4.22 + t^4.25 + t^4.93 + t^4.94 + t^4.95 + t^4.96 + t^5.67 + 2*t^5.98 + 4*t^5.99 - 2*t^6. - t^4.05/y - t^4.05*y detail