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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
362 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_3^2$ 0.7272 0.8931 0.8142 [X:[], M:[1.0, 0.7935, 1.0, 0.7935], q:[0.4543, 0.5457], qb:[0.5457, 0.6608], phi:[0.4484]] [X:[], M:[[0, 0], [-4, -4], [0, 0], [-4, -4]], q:[[-4, 0], [4, 0]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_3$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2^2$, $ M_2M_4$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_2$, $ M_2M_3$, $ M_1M_4$, $ M_3M_4$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$ $M_1M_3$ -3 2*t^2.38 + t^2.69 + 2*t^3. + t^3.27 + t^3.35 + t^4.07 + 2*t^4.35 + 3*t^4.62 + t^4.69 + 3*t^4.76 + 2*t^4.96 + 2*t^5.07 + t^5.31 + 4*t^5.38 + 2*t^5.69 + t^5.96 - 3*t^6. + t^6.04 + 2*t^6.45 + t^6.55 - t^6.62 + t^6.69 + 3*t^6.73 + t^6.76 + 4*t^7. + 2*t^7.04 + 2*t^7.07 + 4*t^7.14 + 3*t^7.31 + 3*t^7.35 + t^7.42 + 3*t^7.45 + 4*t^7.62 + 2*t^7.69 + 6*t^7.76 + 3*t^7.89 - 3*t^7.93 + 2*t^7.96 + t^8.04 + 4*t^8.07 - t^8.11 + t^8.14 - 2*t^8.27 + 2*t^8.31 - 4*t^8.38 + 2*t^8.42 - t^8.62 - 2*t^8.65 + t^8.66 - t^8.73 + t^8.76 + 3*t^8.83 + 4*t^8.96 - t^4.35/y - (2*t^6.73)/y - t^7.04/y + t^7.65/y + t^7.76/y + (2*t^7.96)/y + (2*t^8.07)/y + (4*t^8.38)/y + (2*t^8.65)/y + (2*t^8.69)/y + (2*t^8.73)/y + t^8.96/y - t^4.35*y - 2*t^6.73*y - t^7.04*y + t^7.65*y + t^7.76*y + 2*t^7.96*y + 2*t^8.07*y + 4*t^8.38*y + 2*t^8.65*y + 2*t^8.69*y + 2*t^8.73*y + t^8.96*y (2*t^2.38)/(g1^4*g2^4) + t^2.69/(g1^2*g2^2) + 2*t^3. + g1^8*t^3.27 + (g2^4*t^3.35)/g1^4 + t^4.07/(g1^9*g2) + (2*t^4.35)/(g1*g2) + (3*g1^7*t^4.62)/g2 + (g2^3*t^4.69)/g1^5 + (3*t^4.76)/(g1^8*g2^8) + 2*g1^3*g2^3*t^4.96 + (2*t^5.07)/(g1^6*g2^6) + (g2^7*t^5.31)/g1 + (4*t^5.38)/(g1^4*g2^4) + (2*t^5.69)/(g1^2*g2^2) + (g1^6*t^5.96)/g2^2 - 3*t^6. + (g2^2*t^6.04)/g1^6 + (2*t^6.45)/(g1^13*g2^5) + g1^16*t^6.55 - g1^4*g2^4*t^6.62 + (g2^8*t^6.69)/g1^8 + (3*t^6.73)/(g1^5*g2^5) + t^6.76/(g1^11*g2^3) + (4*g1^3*t^7.)/g2^5 + (2*t^7.04)/(g1^3*g2^3) + (2*t^7.07)/(g1^9*g2) + (4*t^7.14)/(g1^12*g2^12) + (3*g1^5*t^7.31)/g2^3 + (3*t^7.35)/(g1*g2) + (g2^3*t^7.42)/g1^13 + (3*t^7.45)/(g1^10*g2^10) + (4*g1^7*t^7.62)/g2 + (2*g2^3*t^7.69)/g1^5 + (6*t^7.76)/(g1^8*g2^8) + (3*g1^15*t^7.89)/g2 - 3*g1^9*g2*t^7.93 + 2*g1^3*g2^3*t^7.96 + (g2^7*t^8.04)/g1^9 + (4*t^8.07)/(g1^6*g2^6) - t^8.11/(g1^12*g2^4) + t^8.14/(g1^18*g2^2) - 2*g1^5*g2^5*t^8.27 + (2*g2^7*t^8.31)/g1 - (4*t^8.38)/(g1^4*g2^4) + (2*t^8.42)/(g1^10*g2^2) - g1*g2^9*t^8.62 - (2*g1^4*t^8.65)/g2^4 + (g2^11*t^8.66)/g1^5 - t^8.73/g1^8 + (g2^2*t^8.76)/g1^14 + (3*t^8.83)/(g1^17*g2^9) + (4*g1^6*t^8.96)/g2^2 - t^4.35/(g1*g2*y) - (2*t^6.73)/(g1^5*g2^5*y) - t^7.04/(g1^3*g2^3*y) + (g1*g2*t^7.65)/y + t^7.76/(g1^8*g2^8*y) + (2*g1^3*g2^3*t^7.96)/y + (2*t^8.07)/(g1^6*g2^6*y) + (4*t^8.38)/(g1^4*g2^4*y) + (2*g1^4*t^8.65)/(g2^4*y) + (2*t^8.69)/(g1^2*g2^2*y) + (2*t^8.73)/(g1^8*y) + (g1^6*t^8.96)/(g2^2*y) - (t^4.35*y)/(g1*g2) - (2*t^6.73*y)/(g1^5*g2^5) - (t^7.04*y)/(g1^3*g2^3) + g1*g2*t^7.65*y + (t^7.76*y)/(g1^8*g2^8) + 2*g1^3*g2^3*t^7.96*y + (2*t^8.07*y)/(g1^6*g2^6) + (4*t^8.38*y)/(g1^4*g2^4) + (2*g1^4*t^8.65*y)/g2^4 + (2*t^8.69*y)/(g1^2*g2^2) + (2*t^8.73*y)/g1^8 + (g1^6*t^8.96*y)/g2^2


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
1792 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_3^2$ + $ \phi_1\tilde{q}_2^2$ 0.7123 0.8829 0.8068 [X:[], M:[1.0, 0.6935, 1.0, 0.6935], q:[0.4818, 0.5182], qb:[0.5182, 0.7883], phi:[0.4234]] 2*t^2.08 + t^2.54 + 2*t^3. + t^3.11 + t^3.81 + 4*t^4.16 + 2*t^4.27 + 3*t^4.38 + 2*t^4.62 + 5*t^5.08 + 2*t^5.19 + 2*t^5.54 + t^5.65 - 2*t^6. - t^4.27/y - t^4.27*y detail
573 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_3^2$ + $ \phi_1^2q_2\tilde{q}_1$ 0.7271 0.893 0.8142 [X:[], M:[1.0, 0.7947, 1.0, 0.7947], q:[0.4487, 0.5513], qb:[0.5513, 0.654], phi:[0.4487]] 2*t^2.38 + t^2.69 + 2*t^3. + 2*t^3.31 + t^4.04 + 2*t^4.35 + 4*t^4.65 + 3*t^4.77 + 2*t^4.96 + 2*t^5.08 + t^5.27 + 4*t^5.38 + 2*t^5.69 - t^6. - t^4.35/y - t^4.35*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
227 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ 0.7407 0.9101 0.8139 [X:[], M:[1.0, 0.7195, 0.8597, 0.8597], q:[0.5, 0.5], qb:[0.6403, 0.6403], phi:[0.4299]] t^2.16 + 3*t^2.58 + t^3. + 2*t^3.42 + 3*t^4.29 + t^4.32 + 4*t^4.71 + 3*t^4.74 + 3*t^5.13 + 7*t^5.16 + t^5.58 - t^6. - t^4.29/y - t^4.29*y detail