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
46403 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6\phi_1^2$ 0.7284 0.9028 0.8068 [X:[], M:[0.9169, 0.9169, 0.9169, 0.9169, 0.7506, 1.0831], q:[0.6247, 0.4584], qb:[0.4584, 0.6247], phi:[0.4584]] [X:[], M:[[4, 6, 1], [6, 4, 1], [0, -2, -1], [-2, 0, -1], [6, 6, 0], [-2, -2, 0]], q:[[-6, -6, -1], [2, 0, 0]], qb:[[0, 2, 0], [0, 0, 1]], phi:[[1, 1, 0]]] 3
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_5$, $ \phi_1^2$, $ M_4$, $ M_3$, $ M_2$, $ M_1$, $ M_6$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1^2$, $ M_3M_5$, $ M_4M_5$, $ M_2M_5$, $ M_1M_5$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_1M_3$, $ M_2M_4$, $ M_5M_6$, $ \phi_1^4$, $ M_1M_4$, $ M_4^2$, $ M_3^2$, $ M_3M_4$, $ M_2^2$, $ M_1M_2$, $ M_1^2$ $M_1M_6$, $ M_2M_6$, $ M_3M_6$, $ M_4M_6$ -3 t^2.25 + 5*t^2.75 + t^3.25 + 3*t^4.13 + t^4.5 + 4*t^4.62 + 5*t^5. + 3*t^5.12 + 12*t^5.5 - 3*t^6. + 3*t^6.38 - 4*t^6.5 + t^6.76 + 15*t^6.88 + 5*t^7.25 + 12*t^7.38 + 12*t^7.75 + 4*t^7.87 + 20*t^8.25 - 4*t^8.37 + 3*t^8.63 - 18*t^8.75 - t^4.38/y - t^6.63/y - (4*t^7.13)/y + (4*t^7.62)/y + (5*t^8.)/y + t^8.12/y + (11*t^8.5)/y - t^8.88/y - t^4.38*y - t^6.63*y - 4*t^7.13*y + 4*t^7.62*y + 5*t^8.*y + t^8.12*y + 11*t^8.5*y - t^8.88*y g1^6*g2^6*t^2.25 + g1^2*g2^2*t^2.75 + t^2.75/(g1^2*g3) + t^2.75/(g2^2*g3) + g1^6*g2^4*g3*t^2.75 + g1^4*g2^6*g3*t^2.75 + t^3.25/(g1^2*g2^2) + g1^5*g2*t^4.13 + g1^3*g2^3*t^4.13 + g1*g2^5*t^4.13 + g1^12*g2^12*t^4.5 + t^4.62/(g1^3*g2^5*g3) + t^4.62/(g1^5*g2^3*g3) + g1^3*g2*g3*t^4.62 + g1*g2^3*g3*t^4.62 + g1^8*g2^8*t^5. + (g1^6*g2^4*t^5.)/g3 + (g1^4*g2^6*t^5.)/g3 + g1^12*g2^10*g3*t^5. + g1^10*g2^12*g3*t^5. + t^5.12/(g1^5*g2^5) + t^5.12/(g1^11*g2^11*g3^2) + g1*g2*g3^2*t^5.12 + g1^6*g2^2*t^5.5 + 4*g1^4*g2^4*t^5.5 + g1^2*g2^6*t^5.5 + t^5.5/(g1^4*g3^2) + t^5.5/(g2^4*g3^2) + t^5.5/(g1^2*g2^2*g3^2) + g1^12*g2^8*g3^2*t^5.5 + g1^10*g2^10*g3^2*t^5.5 + g1^8*g2^12*g3^2*t^5.5 - 3*t^6. - (g1^2*t^6.)/g2^2 - (g2^2*t^6.)/g1^2 - t^6./(g1^6*g2^6*g3^2) + t^6./(g1^2*g2^4*g3) + t^6./(g1^4*g2^2*g3) + g1^4*g2^2*g3*t^6. + g1^2*g2^4*g3*t^6. - g1^6*g2^6*g3^2*t^6. + g1^11*g2^7*t^6.38 + g1^9*g2^9*t^6.38 + g1^7*g2^11*t^6.38 - t^6.5/(g1^6*g2^8*g3) - t^6.5/(g1^8*g2^6*g3) - (g3*t^6.5)/g1^2 - (g3*t^6.5)/g2^2 + g1^18*g2^18*t^6.76 + g1^7*g2^3*t^6.88 + g1^5*g2^5*t^6.88 + g1^3*g2^7*t^6.88 + (g1^5*t^6.88)/(g2*g3) + (2*g1^3*g2*t^6.88)/g3 + (2*g1*g2^3*t^6.88)/g3 + (g2^5*t^6.88)/(g1*g3) + g1^11*g2^5*g3*t^6.88 + 2*g1^9*g2^7*g3*t^6.88 + 2*g1^7*g2^9*g3*t^6.88 + g1^5*g2^11*g3*t^6.88 + g1^14*g2^14*t^7.25 + (g1^12*g2^10*t^7.25)/g3 + (g1^10*g2^12*t^7.25)/g3 + g1^18*g2^16*g3*t^7.25 + g1^16*g2^18*g3*t^7.25 + (g1^3*t^7.38)/g2 + 2*g1*g2*t^7.38 + (g2^3*t^7.38)/g1 + t^7.38/(g1^3*g2^7*g3^2) + (2*t^7.38)/(g1^5*g2^5*g3^2) + t^7.38/(g1^7*g2^3*g3^2) + g1^9*g2^5*g3^2*t^7.38 + 2*g1^7*g2^7*g3^2*t^7.38 + g1^5*g2^9*g3^2*t^7.38 + g1^12*g2^8*t^7.75 + 4*g1^10*g2^10*t^7.75 + g1^8*g2^12*t^7.75 + (g1^6*g2^2*t^7.75)/g3^2 + (g1^4*g2^4*t^7.75)/g3^2 + (g1^2*g2^6*t^7.75)/g3^2 + g1^18*g2^14*g3^2*t^7.75 + g1^16*g2^16*g3^2*t^7.75 + g1^14*g2^18*g3^2*t^7.75 - t^7.87/(g1*g2^5) - (2*t^7.87)/(g1^3*g2^3) - t^7.87/(g1^5*g2) + t^7.87/(g1^11*g2^13*g3^3) + t^7.87/(g1^13*g2^11*g3^3) + t^7.87/(g1^5*g2^7*g3) + t^7.87/(g1^7*g2^5*g3) + (g1*g3*t^7.87)/g2 + (g2*g3*t^7.87)/g1 + g1^7*g2^5*g3^3*t^7.87 + g1^5*g2^7*g3^3*t^7.87 + g1^10*g2^2*t^8.25 - g1^8*g2^4*t^8.25 - 2*g1^6*g2^6*t^8.25 - g1^4*g2^8*t^8.25 + g1^2*g2^10*t^8.25 + t^8.25/(g1^6*g3^3) + t^8.25/(g2^6*g3^3) + t^8.25/(g1^2*g2^4*g3^3) + t^8.25/(g1^4*g2^2*g3^3) - t^8.25/g3^2 + (g1^6*t^8.25)/g3 + (3*g1^4*g2^2*t^8.25)/g3 + (3*g1^2*g2^4*t^8.25)/g3 + (g2^6*t^8.25)/g3 + g1^12*g2^6*g3*t^8.25 + 3*g1^10*g2^8*g3*t^8.25 + 3*g1^8*g2^10*g3*t^8.25 + g1^6*g2^12*g3*t^8.25 - g1^12*g2^12*g3^2*t^8.25 + g1^18*g2^12*g3^3*t^8.25 + g1^16*g2^14*g3^3*t^8.25 + g1^14*g2^16*g3^3*t^8.25 + g1^12*g2^18*g3^3*t^8.25 - t^8.37/(g1^9*g2^11*g3) - t^8.37/(g1^11*g2^9*g3) - (g3*t^8.37)/(g1^3*g2^5) - (g3*t^8.37)/(g1^5*g2^3) + g1^17*g2^13*t^8.63 + g1^15*g2^15*t^8.63 + g1^13*g2^17*t^8.63 - t^8.75/(g1^6*g2^8*g3^3) - t^8.75/(g1^8*g2^6*g3^3) + t^8.75/(g1^2*g2^6*g3^2) + t^8.75/(g1^4*g2^4*g3^2) + t^8.75/(g1^6*g2^2*g3^2) - (5*t^8.75)/(g1^2*g3) - (5*t^8.75)/(g2^2*g3) - 5*g1^6*g2^4*g3*t^8.75 - 5*g1^4*g2^6*g3*t^8.75 + g1^10*g2^6*g3^2*t^8.75 + g1^8*g2^8*g3^2*t^8.75 + g1^6*g2^10*g3^2*t^8.75 - g1^12*g2^10*g3^3*t^8.75 - g1^10*g2^12*g3^3*t^8.75 - (g1*g2*t^4.38)/y - (g1^7*g2^7*t^6.63)/y - (g1*t^7.13)/(g2*g3*y) - (g2*t^7.13)/(g1*g3*y) - (g1^7*g2^5*g3*t^7.13)/y - (g1^5*g2^7*g3*t^7.13)/y + t^7.62/(g1^3*g2^5*g3*y) + t^7.62/(g1^5*g2^3*g3*y) + (g1^3*g2*g3*t^7.62)/y + (g1*g2^3*g3*t^7.62)/y + (g1^8*g2^8*t^8.)/y + (g1^6*g2^4*t^8.)/(g3*y) + (g1^4*g2^6*t^8.)/(g3*y) + (g1^12*g2^10*g3*t^8.)/y + (g1^10*g2^12*g3*t^8.)/y + t^8.12/(g1^5*g2^5*y) + (g1^6*g2^2*t^8.5)/y + (3*g1^4*g2^4*t^8.5)/y + (g1^2*g2^6*t^8.5)/y + t^8.5/(g1^2*g2^2*g3^2*y) + (g1^2*t^8.5)/(g3*y) + (g2^2*t^8.5)/(g3*y) + (g1^8*g2^6*g3*t^8.5)/y + (g1^6*g2^8*g3*t^8.5)/y + (g1^10*g2^10*g3^2*t^8.5)/y - (g1^13*g2^13*t^8.88)/y - g1*g2*t^4.38*y - g1^7*g2^7*t^6.63*y - (g1*t^7.13*y)/(g2*g3) - (g2*t^7.13*y)/(g1*g3) - g1^7*g2^5*g3*t^7.13*y - g1^5*g2^7*g3*t^7.13*y + (t^7.62*y)/(g1^3*g2^5*g3) + (t^7.62*y)/(g1^5*g2^3*g3) + g1^3*g2*g3*t^7.62*y + g1*g2^3*g3*t^7.62*y + g1^8*g2^8*t^8.*y + (g1^6*g2^4*t^8.*y)/g3 + (g1^4*g2^6*t^8.*y)/g3 + g1^12*g2^10*g3*t^8.*y + g1^10*g2^12*g3*t^8.*y + (t^8.12*y)/(g1^5*g2^5) + g1^6*g2^2*t^8.5*y + 3*g1^4*g2^4*t^8.5*y + g1^2*g2^6*t^8.5*y + (t^8.5*y)/(g1^2*g2^2*g3^2) + (g1^2*t^8.5*y)/g3 + (g2^2*t^8.5*y)/g3 + g1^8*g2^6*g3*t^8.5*y + g1^6*g2^8*g3*t^8.5*y + g1^10*g2^10*g3^2*t^8.5*y - g1^13*g2^13*t^8.88*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
46905 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6\phi_1^2$ + $ M_1M_2$ 0.7198 0.8904 0.8084 [X:[], M:[1.0, 1.0, 0.8691, 0.8691, 0.8037, 1.0654], q:[0.5327, 0.4673], qb:[0.4673, 0.6636], phi:[0.4673]] t^2.41 + 2*t^2.61 + t^2.8 + 2*t^3. + t^3.2 + 3*t^4.21 + 2*t^4.4 + t^4.6 + 2*t^4.79 + t^4.82 + t^4.99 + 2*t^5.02 + 4*t^5.21 + t^5.38 + 2*t^5.41 + 5*t^5.61 + 2*t^5.8 - 2*t^6. - t^4.4/y - t^4.4*y detail
46847 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6\phi_1^2$ + $ M_4M_5$ 0.7013 0.8626 0.813 [X:[], M:[0.9729, 0.8851, 0.9811, 1.0689, 0.9311, 1.023], q:[0.5825, 0.4446], qb:[0.5324, 0.4864], phi:[0.4885]] t^2.66 + t^2.79 + t^2.92 + t^2.93 + t^2.94 + t^3.07 + t^3.21 + t^4.13 + t^4.26 + t^4.38 + t^4.4 + t^4.52 + t^4.55 + t^4.66 + t^4.67 + t^4.81 + t^4.96 + t^5.31 + t^5.45 + t^5.57 + t^5.59 + t^5.6 + 2*t^5.72 + t^5.84 + 3*t^5.86 + t^5.89 + t^5.99 - 2*t^6. - t^4.47/y - t^4.47*y detail
48146 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6\phi_1^2$ + $ M_6M_7$ 0.7363 0.9181 0.802 [X:[], M:[0.9094, 0.9094, 0.9094, 0.9094, 0.7282, 1.0906, 0.9094], q:[0.6359, 0.4547], qb:[0.4547, 0.6359], phi:[0.4547]] t^2.18 + 6*t^2.73 + 3*t^4.09 + t^4.37 + 4*t^4.64 + 6*t^4.91 + 3*t^5.18 + 17*t^5.46 - 8*t^6. - t^4.36/y - t^4.36*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
46133 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ 0.8092 1.0197 0.7935 [X:[], M:[0.7518, 0.7518, 0.7518, 0.7518, 0.7518, 0.7518], q:[0.6241, 0.6241], qb:[0.6241, 0.6241], phi:[0.3759]] 7*t^2.26 + 28*t^4.51 + 10*t^4.87 - 16*t^6. - t^4.13/y - t^4.13*y detail