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
6758 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_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_1\tilde{q}_1$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_2M_9$ 0.715 0.9245 0.7734 [X:[], M:[0.8217, 1.0594, 1.1783, 0.7029, 0.8217, 1.0543, 0.708, 0.7131, 0.9406], q:[0.4134, 0.7649], qb:[0.4083, 0.5323], phi:[0.4703]] [X:[], M:[[-12], [4], [12], [-20], [-12], [-30], [14], [48], [-4]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_4$, $ M_7$, $ M_8$, $ M_1$, $ M_5$, $ M_9$, $ \phi_1^2$, $ M_6$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ M_4^2$, $ M_4M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7^2$, $ M_4M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_7M_8$, $ M_8^2$, $ M_1M_4$, $ M_4M_5$, $ M_1M_7$, $ M_5M_7$, $ M_1M_8$, $ M_5M_8$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4M_9$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_7M_9$, $ M_7\phi_1^2$, $ \phi_1q_1q_2$, $ M_8M_9$, $ M_8\phi_1^2$, $ M_4M_6$, $ M_6M_7$, $ M_1M_9$, $ M_5M_9$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_6M_8$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_6$, $ M_5M_6$, $ M_4q_2\tilde{q}_1$, $ M_9^2$, $ M_9\phi_1^2$, $ \phi_1^4$, $ M_7q_2\tilde{q}_1$, $ M_8q_2\tilde{q}_1$, $ M_6M_9$, $ M_6\phi_1^2$, $ M_5q_2\tilde{q}_1$ $M_4\phi_1q_1^2$ -2 t^2.11 + t^2.12 + t^2.14 + 2*t^2.47 + 2*t^2.82 + t^3.16 + t^3.52 + t^3.89 + t^4.22 + 2*t^4.23 + 3*t^4.25 + t^4.26 + t^4.28 + 2*t^4.57 + 2*t^4.59 + 3*t^4.6 + 5*t^4.93 + 2*t^4.95 + 2*t^4.96 + t^5.27 + 5*t^5.29 + t^5.3 + 2*t^5.63 + 3*t^5.64 + t^5.66 + 3*t^5.98 - 2*t^6. + t^6.03 + 2*t^6.33 + 3*t^6.34 + 3*t^6.36 + 3*t^6.37 + 3*t^6.39 + t^6.4 + t^6.42 + 3*t^6.68 + 2*t^6.7 + 7*t^6.71 + 3*t^6.73 + 3*t^6.74 + 4*t^7.04 + 5*t^7.05 + 8*t^7.07 + 2*t^7.09 + 2*t^7.1 + t^7.38 + 8*t^7.4 + 4*t^7.41 + 5*t^7.43 + t^7.44 + 2*t^7.74 + 9*t^7.75 + 4*t^7.77 + t^7.78 + t^7.8 + 4*t^8.09 + 3*t^8.11 - t^8.12 - 2*t^8.14 + t^8.17 + 2*t^8.43 + 7*t^8.45 + t^8.47 + t^8.48 + 5*t^8.5 + 3*t^8.51 + 3*t^8.53 + t^8.54 + t^8.56 + 4*t^8.79 + 6*t^8.81 - t^8.82 + 4*t^8.84 + 9*t^8.85 + 3*t^8.87 + 3*t^8.88 - t^4.41/y - t^6.52/y - t^6.53/y - t^6.55/y - t^6.88/y + (2*t^7.25)/y + t^7.26/y + t^7.57/y + (3*t^7.59)/y + (2*t^7.6)/y + (3*t^7.93)/y + (3*t^7.95)/y + (2*t^7.96)/y + (2*t^8.27)/y + (6*t^8.29)/y + (2*t^8.3)/y + (2*t^8.63)/y + t^8.64/y - t^8.66/y - t^8.67/y - t^8.69/y + (3*t^8.98)/y - t^4.41*y - t^6.52*y - t^6.53*y - t^6.55*y - t^6.88*y + 2*t^7.25*y + t^7.26*y + t^7.57*y + 3*t^7.59*y + 2*t^7.6*y + 3*t^7.93*y + 3*t^7.95*y + 2*t^7.96*y + 2*t^8.27*y + 6*t^8.29*y + 2*t^8.3*y + 2*t^8.63*y + t^8.64*y - t^8.66*y - t^8.67*y - t^8.69*y + 3*t^8.98*y t^2.11/g1^20 + g1^14*t^2.12 + g1^48*t^2.14 + (2*t^2.47)/g1^12 + (2*t^2.82)/g1^4 + t^3.16/g1^30 + t^3.52/g1^22 + g1^20*t^3.89 + t^4.22/g1^40 + (2*t^4.23)/g1^6 + 3*g1^28*t^4.25 + g1^62*t^4.26 + g1^96*t^4.28 + (2*t^4.57)/g1^32 + 2*g1^2*t^4.59 + 3*g1^36*t^4.6 + (5*t^4.93)/g1^24 + 2*g1^10*t^4.95 + 2*g1^44*t^4.96 + t^5.27/g1^50 + (5*t^5.29)/g1^16 + g1^18*t^5.3 + (2*t^5.63)/g1^42 + (3*t^5.64)/g1^8 + g1^26*t^5.66 + (3*t^5.98)/g1^34 - 2*t^6. + g1^68*t^6.03 + (2*t^6.33)/g1^60 + (3*t^6.34)/g1^26 + 3*g1^8*t^6.36 + 3*g1^42*t^6.37 + 3*g1^76*t^6.39 + g1^110*t^6.4 + g1^144*t^6.42 + (3*t^6.68)/g1^52 + (2*t^6.7)/g1^18 + 7*g1^16*t^6.71 + 3*g1^50*t^6.73 + 3*g1^84*t^6.74 + (4*t^7.04)/g1^44 + (5*t^7.05)/g1^10 + 8*g1^24*t^7.07 + 2*g1^58*t^7.09 + 2*g1^92*t^7.1 + t^7.38/g1^70 + (8*t^7.4)/g1^36 + (4*t^7.41)/g1^2 + 5*g1^32*t^7.43 + g1^66*t^7.44 + (2*t^7.74)/g1^62 + (9*t^7.75)/g1^28 + 4*g1^6*t^7.77 + g1^40*t^7.78 + g1^74*t^7.8 + (4*t^8.09)/g1^54 + (3*t^8.11)/g1^20 - g1^14*t^8.12 - 2*g1^48*t^8.14 + g1^116*t^8.17 + (2*t^8.43)/g1^80 + (7*t^8.45)/g1^46 + t^8.47/g1^12 + g1^22*t^8.48 + 5*g1^56*t^8.5 + 3*g1^90*t^8.51 + 3*g1^124*t^8.53 + g1^158*t^8.54 + g1^192*t^8.56 + (4*t^8.79)/g1^72 + (6*t^8.81)/g1^38 - t^8.82/g1^4 + 4*g1^30*t^8.84 + 9*g1^64*t^8.85 + 3*g1^98*t^8.87 + 3*g1^132*t^8.88 - t^4.41/(g1^2*y) - t^6.52/(g1^22*y) - (g1^12*t^6.53)/y - (g1^46*t^6.55)/y - t^6.88/(g1^14*y) + (2*g1^28*t^7.25)/y + (g1^62*t^7.26)/y + t^7.57/(g1^32*y) + (3*g1^2*t^7.59)/y + (2*g1^36*t^7.6)/y + (3*t^7.93)/(g1^24*y) + (3*g1^10*t^7.95)/y + (2*g1^44*t^7.96)/y + (2*t^8.27)/(g1^50*y) + (6*t^8.29)/(g1^16*y) + (2*g1^18*t^8.3)/y + (2*t^8.63)/(g1^42*y) + t^8.64/(g1^8*y) - (g1^26*t^8.66)/y - (g1^60*t^8.67)/y - (g1^94*t^8.69)/y + (3*t^8.98)/(g1^34*y) - (t^4.41*y)/g1^2 - (t^6.52*y)/g1^22 - g1^12*t^6.53*y - g1^46*t^6.55*y - (t^6.88*y)/g1^14 + 2*g1^28*t^7.25*y + g1^62*t^7.26*y + (t^7.57*y)/g1^32 + 3*g1^2*t^7.59*y + 2*g1^36*t^7.6*y + (3*t^7.93*y)/g1^24 + 3*g1^10*t^7.95*y + 2*g1^44*t^7.96*y + (2*t^8.27*y)/g1^50 + (6*t^8.29*y)/g1^16 + 2*g1^18*t^8.3*y + (2*t^8.63*y)/g1^42 + (t^8.64*y)/g1^8 - g1^26*t^8.66*y - g1^60*t^8.67*y - g1^94*t^8.69*y + (3*t^8.98*y)/g1^34


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
5207 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_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_1\tilde{q}_1$ + $ M_8\phi_1\tilde{q}_1^2$ 0.7095 0.9154 0.7751 [X:[], M:[0.8231, 1.059, 1.1769, 0.7051, 0.8231, 1.0576, 0.7064, 0.7078], q:[0.4122, 0.7647], qb:[0.4109, 0.5302], phi:[0.4705]] 3*t^2.12 + 2*t^2.47 + t^2.82 + t^3.17 + t^3.18 + t^3.53 + t^3.88 + 3*t^4.23 + 4*t^4.24 + t^4.25 + 2*t^4.58 + 5*t^4.59 + 5*t^4.94 + t^4.95 + 5*t^5.29 + 3*t^5.3 + 2*t^5.64 + 4*t^5.65 + t^6. - t^4.41/y - t^4.41*y detail