Landscape




$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

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
4435 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_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ 0.6589 0.8742 0.7538 [X:[], M:[0.9543, 1.1371, 1.0457, 0.8629, 0.7386, 0.7386, 0.83, 0.8629], q:[0.7386, 0.3071], qb:[0.4314, 0.4314], phi:[0.5229]] [X:[], M:[[4], [-12], [-4], [12], [1], [1], [-7], [12]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_5$, $ M_6$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_7$, $ M_4$, $ M_8$, $ M_3$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_5q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5M_7$, $ M_6M_7$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_2$, $ M_4M_5$, $ M_4M_6$, $ M_5M_8$, $ M_6M_8$, $ M_4q_2\tilde{q}_1$, $ M_8q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_8q_2\tilde{q}_2$, $ M_7^2$, $ M_4M_7$, $ M_7M_8$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_4^2$, $ M_4M_8$, $ M_8^2$, $ M_3M_5$, $ M_3M_6$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3M_4$, $ M_3M_8$, $ M_4\phi_1^2$, $ M_8\phi_1^2$, $ M_5q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$ $M_7q_1\tilde{q}_1$ -5 4*t^2.22 + t^2.49 + 2*t^2.59 + 2*t^3.14 + t^3.51 + 3*t^4.16 + 10*t^4.43 + 4*t^4.71 + 8*t^4.8 + t^4.98 + 2*t^5.08 + 3*t^5.18 + 8*t^5.35 + 7*t^5.73 - 5*t^6. + 2*t^6.1 + t^6.27 + 8*t^6.37 + 21*t^6.65 + 6*t^6.75 + 6*t^6.92 + 18*t^7.02 + 2*t^7.2 + 9*t^7.29 + 12*t^7.39 + t^7.47 + 14*t^7.57 + 4*t^7.67 + 4*t^7.77 + 16*t^7.94 - 21*t^8.22 + 17*t^8.31 - t^8.49 + 4*t^8.59 + 3*t^8.69 - 3*t^8.76 + 36*t^8.86 + 16*t^8.96 - t^4.57/y - (2*t^6.78)/y - t^7.06/y - t^7.16/y + (7*t^7.43)/y + (3*t^7.71)/y + (8*t^7.8)/y + t^7.98/y + (3*t^8.08)/y + t^8.18/y + (10*t^8.35)/y + (2*t^8.63)/y + (8*t^8.73)/y - t^4.57*y - 2*t^6.78*y - t^7.06*y - t^7.16*y + 7*t^7.43*y + 3*t^7.71*y + 8*t^7.8*y + t^7.98*y + 3*t^8.08*y + t^8.18*y + 10*t^8.35*y + 2*t^8.63*y + 8*t^8.73*y 4*g1*t^2.22 + t^2.49/g1^7 + 2*g1^12*t^2.59 + (2*t^3.14)/g1^4 + g1^7*t^3.51 + 3*g1^10*t^4.16 + 10*g1^2*t^4.43 + (4*t^4.71)/g1^6 + 8*g1^13*t^4.8 + t^4.98/g1^14 + 2*g1^5*t^5.08 + 3*g1^24*t^5.18 + (8*t^5.35)/g1^3 + 7*g1^8*t^5.73 - 5*t^6. + 2*g1^19*t^6.1 + t^6.27/g1^8 + 8*g1^11*t^6.37 + 21*g1^3*t^6.65 + 6*g1^22*t^6.75 + (6*t^6.92)/g1^5 + 18*g1^14*t^7.02 + (2*t^7.2)/g1^13 + 9*g1^6*t^7.29 + 12*g1^25*t^7.39 + t^7.47/g1^21 + (14*t^7.57)/g1^2 + 4*g1^17*t^7.67 + 4*g1^36*t^7.77 + 16*g1^9*t^7.94 - 21*g1*t^8.22 + 17*g1^20*t^8.31 - t^8.49/g1^7 + 4*g1^12*t^8.59 + 3*g1^31*t^8.69 - (3*t^8.76)/g1^15 + 36*g1^4*t^8.86 + 16*g1^23*t^8.96 - t^4.57/(g1^2*y) - (2*t^6.78)/(g1*y) - t^7.06/(g1^9*y) - (g1^10*t^7.16)/y + (7*g1^2*t^7.43)/y + (3*t^7.71)/(g1^6*y) + (8*g1^13*t^7.8)/y + t^7.98/(g1^14*y) + (3*g1^5*t^8.08)/y + (g1^24*t^8.18)/y + (10*t^8.35)/(g1^3*y) + (2*t^8.63)/(g1^11*y) + (8*g1^8*t^8.73)/y - (t^4.57*y)/g1^2 - (2*t^6.78*y)/g1 - (t^7.06*y)/g1^9 - g1^10*t^7.16*y + 7*g1^2*t^7.43*y + (3*t^7.71*y)/g1^6 + 8*g1^13*t^7.8*y + (t^7.98*y)/g1^14 + 3*g1^5*t^8.08*y + g1^24*t^8.18*y + (10*t^8.35*y)/g1^3 + (2*t^8.63*y)/g1^11 + 8*g1^8*t^8.73*y


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
5949 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ + $ M_9q_1\tilde{q}_1$ 0.6739 0.8987 0.7499 [X:[], M:[0.9616, 1.1153, 1.0384, 0.8847, 0.7404, 0.7404, 0.8173, 0.8847, 0.8173], q:[0.7404, 0.2981], qb:[0.4423, 0.4423], phi:[0.5192]] 4*t^2.22 + 2*t^2.45 + 2*t^2.65 + 2*t^3.12 + 3*t^4.21 + 10*t^4.44 + 8*t^4.67 + 8*t^4.88 + 3*t^4.9 + 4*t^5.11 + 3*t^5.31 + 8*t^5.34 + 2*t^5.57 + 3*t^5.77 - 6*t^6. - t^4.56/y - t^4.56*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
2396 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_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ 0.6488 0.8541 0.7596 [X:[], M:[0.9712, 1.0864, 1.0288, 0.9136, 0.7428, 0.7428, 0.8004], q:[0.7428, 0.286], qb:[0.4568, 0.4568], phi:[0.5144]] 4*t^2.23 + t^2.4 + t^2.74 + 2*t^3.09 + t^3.26 + t^3.6 + 3*t^4.28 + 10*t^4.46 + 4*t^4.63 + t^4.8 + 4*t^4.97 + t^5.14 + 8*t^5.31 + t^5.48 + 4*t^5.49 + t^5.66 + 5*t^5.83 - 4*t^6. - t^4.54/y - t^4.54*y detail