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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
544 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ 0.6254 0.8129 0.7694 [X:[], M:[0.9847, 1.0459, 1.0153, 0.7462, 0.7462], q:[0.7462, 0.2691], qb:[0.477, 0.477], phi:[0.5077]] [X:[], M:[[4, 4], [-12, -12], [-4, -4], [-5, 7], [7, -5]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_5$, $ q_2\tilde{q}_1$, $ M_4$, $ q_2\tilde{q}_2$, $ M_3$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_4M_5$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3M_5$, $ M_5\phi_1^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3M_4$, $ M_4\phi_1^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_5$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_5q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_4q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ . -6 4*t^2.24 + 2*t^3.05 + 2*t^3.14 + 2*t^3.67 + 3*t^4.39 + 10*t^4.48 + 8*t^5.28 + 6*t^5.38 + 7*t^5.91 - 6*t^6. + t^6.09 + 4*t^6.18 + 3*t^6.28 + 8*t^6.62 + 20*t^6.72 - 2*t^6.9 + t^7.43 + 18*t^7.52 + 12*t^7.61 + 4*t^8.05 + 10*t^8.15 - 24*t^8.24 + 4*t^8.33 + 12*t^8.42 + 8*t^8.51 + 5*t^8.77 + 14*t^8.86 + 34*t^8.95 - t^4.52/y - (2*t^6.76)/y + t^7.39/y + (7*t^7.48)/y - t^7.57/y - t^7.66/y + (10*t^8.28)/y + (8*t^8.38)/y + (8*t^8.91)/y - t^4.52*y - 2*t^6.76*y + t^7.39*y + 7*t^7.48*y - t^7.57*y - t^7.66*y + 10*t^8.28*y + 8*t^8.38*y + 8*t^8.91*y (2*g1^7*t^2.24)/g2^5 + (2*g2^7*t^2.24)/g1^5 + (2*t^3.05)/(g1^4*g2^4) + (2*t^3.14)/(g1^12*g2^12) + g1^13*g2*t^3.67 + g1*g2^13*t^3.67 + (g1^22*t^4.39)/g2^2 + g1^10*g2^10*t^4.39 + (g2^22*t^4.39)/g1^2 + (3*g1^14*t^4.48)/g2^10 + 4*g1^2*g2^2*t^4.48 + (3*g2^14*t^4.48)/g1^10 + (4*g1^3*t^5.28)/g2^9 + (4*g2^3*t^5.28)/g1^9 + (3*t^5.38)/(g1^5*g2^17) + (3*t^5.38)/(g1^17*g2^5) + (2*g1^20*t^5.91)/g2^4 + 3*g1^8*g2^8*t^5.91 + (2*g2^20*t^5.91)/g1^4 - 4*t^6. - (g1^12*t^6.)/g2^12 - (g2^12*t^6.)/g1^12 + t^6.09/(g1^8*g2^8) + (4*t^6.18)/(g1^16*g2^16) + (3*t^6.28)/(g1^24*g2^24) + (2*g1^29*t^6.62)/g2^7 + 2*g1^17*g2^5*t^6.62 + 2*g1^5*g2^17*t^6.62 + (2*g2^29*t^6.62)/g1^7 + (4*g1^21*t^6.72)/g2^15 + (6*g1^9*t^6.72)/g2^3 + (6*g2^9*t^6.72)/g1^3 + (4*g2^21*t^6.72)/g1^15 - t^6.9/(g1^7*g2^19) - t^6.9/(g1^19*g2^7) + (g1^18*t^7.43)/g2^6 - g1^6*g2^6*t^7.43 + (g2^18*t^7.43)/g1^6 + (6*g1^10*t^7.52)/g2^14 + (6*t^7.52)/(g1^2*g2^2) + (6*g2^10*t^7.52)/g1^14 + (4*g1^2*t^7.61)/g2^22 + (4*t^7.61)/(g1^10*g2^10) + (4*g2^2*t^7.61)/g1^22 + (g1^35*t^8.05)/g2 + g1^23*g2^11*t^8.05 + g1^11*g2^23*t^8.05 + (g2^35*t^8.05)/g1 + (3*g1^27*t^8.15)/g2^9 + 2*g1^15*g2^3*t^8.15 + 2*g1^3*g2^15*t^8.15 + (3*g2^27*t^8.15)/g1^9 - (2*g1^19*t^8.24)/g2^17 - (10*g1^7*t^8.24)/g2^5 - (10*g2^7*t^8.24)/g1^5 - (2*g2^19*t^8.24)/g1^17 + (2*t^8.33)/(g1*g2^13) + (2*t^8.33)/(g1^13*g2) + (6*t^8.42)/(g1^9*g2^21) + (6*t^8.42)/(g1^21*g2^9) + (4*t^8.51)/(g1^17*g2^29) + (4*t^8.51)/(g1^29*g2^17) + (g1^44*t^8.77)/g2^4 + g1^32*g2^8*t^8.77 + g1^20*g2^20*t^8.77 + g1^8*g2^32*t^8.77 + (g2^44*t^8.77)/g1^4 + 3*g1^24*t^8.86 + (3*g1^36*t^8.86)/g2^12 + 2*g1^12*g2^12*t^8.86 + 3*g2^24*t^8.86 + (3*g2^36*t^8.86)/g1^12 + (5*g1^28*t^8.95)/g2^20 + (8*g1^16*t^8.95)/g2^8 + 8*g1^4*g2^4*t^8.95 + (8*g2^16*t^8.95)/g1^8 + (5*g2^28*t^8.95)/g1^20 - t^4.52/(g1^2*g2^2*y) - (g1^5*t^6.76)/(g2^7*y) - (g2^5*t^6.76)/(g1^7*y) + (g1^10*g2^10*t^7.39)/y + (g1^14*t^7.48)/(g2^10*y) + (5*g1^2*g2^2*t^7.48)/y + (g2^14*t^7.48)/(g1^10*y) - t^7.57/(g1^6*g2^6*y) - t^7.66/(g1^14*g2^14*y) + (5*g1^3*t^8.28)/(g2^9*y) + (5*g2^3*t^8.28)/(g1^9*y) + (4*t^8.38)/(g1^5*g2^17*y) + (4*t^8.38)/(g1^17*g2^5*y) + (2*g1^20*t^8.91)/(g2^4*y) + (4*g1^8*g2^8*t^8.91)/y + (2*g2^20*t^8.91)/(g1^4*y) - (t^4.52*y)/(g1^2*g2^2) - (g1^5*t^6.76*y)/g2^7 - (g2^5*t^6.76*y)/g1^7 + g1^10*g2^10*t^7.39*y + (g1^14*t^7.48*y)/g2^10 + 5*g1^2*g2^2*t^7.48*y + (g2^14*t^7.48*y)/g1^10 - (t^7.57*y)/(g1^6*g2^6) - (t^7.66*y)/(g1^14*g2^14) + (5*g1^3*t^8.28*y)/g2^9 + (5*g2^3*t^8.28*y)/g1^9 + (4*t^8.38*y)/(g1^5*g2^17) + (4*t^8.38*y)/(g1^17*g2^5) + (2*g1^20*t^8.91*y)/g2^4 + 4*g1^8*g2^8*t^8.91*y + (2*g2^20*t^8.91*y)/g1^4


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
1912 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ 0.6438 0.8466 0.7605 [X:[], M:[0.9911, 1.0267, 1.0089, 0.7377, 0.7578, 0.7555], q:[0.7478, 0.2611], qb:[0.4967, 0.4766], phi:[0.5045]] 2*t^2.21 + 3*t^2.27 + 2*t^3.03 + 2*t^3.08 + t^3.67 + t^4.37 + 4*t^4.43 + 2*t^4.48 + 5*t^4.49 + t^4.53 + 2*t^4.54 + 3*t^4.55 + 4*t^5.24 + 5*t^5.29 + 4*t^5.3 + 5*t^5.35 + 2*t^5.89 + t^5.95 - 4*t^6. - t^4.51/y - t^4.51*y detail
1910 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ q_1q_2\tilde{q}_2^2$ 0.6251 0.8126 0.7692 [X:[], M:[0.9888, 1.0335, 1.0112, 0.7584, 0.736], q:[0.7472, 0.264], qb:[0.4721, 0.4944], phi:[0.5056]] 2*t^2.21 + 2*t^2.28 + 2*t^3.03 + 2*t^3.1 + t^3.66 + t^3.72 + t^4.35 + 4*t^4.42 + 5*t^4.48 + 3*t^4.55 + 4*t^5.24 + 7*t^5.31 + 3*t^5.38 + 2*t^5.87 + 2*t^5.93 - 2*t^6. - t^4.52/y - t^4.52*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
344 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ 0.6064 0.7787 0.7788 [X:[], M:[0.9857, 1.043, 1.0143, 0.7364], q:[0.7464, 0.2679], qb:[0.4885, 0.4685], phi:[0.5072]] 2*t^2.21 + t^2.27 + 2*t^3.04 + 2*t^3.13 + t^3.64 + t^3.7 + t^3.73 + t^4.33 + t^4.39 + 3*t^4.42 + t^4.45 + 2*t^4.48 + t^4.54 + 4*t^5.25 + 2*t^5.31 + 3*t^5.34 + t^5.4 + 2*t^5.85 + 2*t^5.91 + t^5.94 + t^5.97 - 3*t^6. - t^4.52/y - t^4.52*y detail