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
4015 SU2adj1nf2 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_1M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2^2$ 0.6916 0.8724 0.7927 [X:[], M:[1.1702, 1.1064, 0.9573, 1.0, 0.8298, 0.8298, 0.7661, 0.6807], q:[0.7766, 0.4363], qb:[0.3936, 0.6064], phi:[0.4468]] [X:[], M:[[-3], [4], [-11], [0], [3], [3], [10], [-12]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_8$, $ M_7$, $ M_5$, $ M_6$, $ M_3$, $ M_4$, $ M_2$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ M_8^2$, $ q_1\tilde{q}_2$, $ M_7M_8$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_8$, $ M_6M_8$, $ M_7^2$, $ M_5M_7$, $ M_6M_7$, $ M_3M_8$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_8$, $ M_3M_7$, $ M_4M_7$, $ M_3M_5$, $ M_3M_6$, $ M_2M_8$, $ M_4M_5$, $ M_4M_6$, $ M_2M_7$, $ M_8q_1q_2$, $ M_3^2$, $ M_2M_5$, $ M_2M_6$, $ M_3M_4$, $ M_8\phi_1q_2\tilde{q}_1$, $ M_7q_1q_2$ . -2 t^2.04 + t^2.3 + 2*t^2.49 + t^2.87 + t^3. + t^3.32 + t^3.64 + t^3.83 + t^4.08 + t^4.15 + 2*t^4.34 + t^4.47 + 2*t^4.53 + t^4.6 + 2*t^4.79 + t^4.91 + 4*t^4.98 + t^5.04 + t^5.17 + t^5.3 + 2*t^5.36 + t^5.49 + t^5.62 + t^5.68 + t^5.74 + 2*t^5.81 + t^5.87 + t^5.94 - 2*t^6. + 3*t^6.13 + t^6.19 + 2*t^6.32 + 2*t^6.38 + t^6.45 + 2*t^6.57 + 4*t^6.64 + t^6.77 + 2*t^6.83 + t^6.9 + 3*t^6.96 + 3*t^7.02 + t^7.08 + 2*t^7.09 + t^7.21 + 4*t^7.28 + 2*t^7.4 + 7*t^7.47 + t^7.53 + t^7.6 + 2*t^7.66 + t^7.72 + 3*t^7.79 + 2*t^7.85 + t^7.91 + t^7.92 + 2*t^7.98 - t^8.04 + 2*t^8.11 + 2*t^8.17 + 2*t^8.23 + t^8.24 + t^8.3 + t^8.36 + 2*t^8.42 + 2*t^8.43 - 4*t^8.49 + 7*t^8.62 + 3*t^8.68 + t^8.75 + 2*t^8.81 + 4*t^8.94 - t^4.34/y - t^6.38/y - t^6.64/y - t^6.83/y - t^7.21/y + t^7.34/y + t^7.47/y + (2*t^7.53)/y + (2*t^7.79)/y + t^7.85/y + t^7.91/y + t^7.98/y + (2*t^8.04)/y + t^8.17/y + (2*t^8.3)/y + (3*t^8.36)/y - t^8.42/y + (2*t^8.49)/y + t^8.62/y + (2*t^8.81)/y + t^8.87/y - t^4.34*y - t^6.38*y - t^6.64*y - t^6.83*y - t^7.21*y + t^7.34*y + t^7.47*y + 2*t^7.53*y + 2*t^7.79*y + t^7.85*y + t^7.91*y + t^7.98*y + 2*t^8.04*y + t^8.17*y + 2*t^8.3*y + 3*t^8.36*y - t^8.42*y + 2*t^8.49*y + t^8.62*y + 2*t^8.81*y + t^8.87*y t^2.04/g1^12 + g1^10*t^2.3 + 2*g1^3*t^2.49 + t^2.87/g1^11 + t^3. + g1^4*t^3.32 + g1^8*t^3.64 + g1*t^3.83 + t^4.08/g1^24 + g1^5*t^4.15 + (2*t^4.34)/g1^2 + g1^9*t^4.47 + (2*t^4.53)/g1^9 + g1^20*t^4.6 + 2*g1^13*t^4.79 + t^4.91/g1^23 + 4*g1^6*t^4.98 + t^5.04/g1^12 + t^5.17/g1 + g1^10*t^5.3 + (2*t^5.36)/g1^8 + g1^3*t^5.49 + g1^14*t^5.62 + t^5.68/g1^4 + t^5.74/g1^22 + 2*g1^7*t^5.81 + t^5.87/g1^11 + g1^18*t^5.94 - 2*t^6. + t^6.13/g1^36 + 2*g1^11*t^6.13 + t^6.19/g1^7 + 2*g1^4*t^6.32 + (2*t^6.38)/g1^14 + g1^15*t^6.45 + (2*t^6.57)/g1^21 + 4*g1^8*t^6.64 + g1^19*t^6.77 + 2*g1*t^6.83 + g1^30*t^6.9 + t^6.96/g1^35 + 2*g1^12*t^6.96 + (3*t^7.02)/g1^6 + t^7.08/g1^24 + 2*g1^23*t^7.09 + t^7.21/g1^13 + 4*g1^16*t^7.28 + (2*t^7.4)/g1^20 + 7*g1^9*t^7.47 + t^7.53/g1^9 + g1^20*t^7.6 + 2*g1^2*t^7.66 + t^7.72/g1^16 + t^7.79/g1^34 + 2*g1^13*t^7.79 + (2*t^7.85)/g1^5 + t^7.91/g1^23 + g1^24*t^7.92 + 2*g1^6*t^7.98 - t^8.04/g1^12 + 2*g1^17*t^8.11 + t^8.17/g1^48 + t^8.17/g1 + (2*t^8.23)/g1^19 + g1^28*t^8.24 + g1^10*t^8.3 + t^8.36/g1^8 + (2*t^8.42)/g1^26 + 2*g1^21*t^8.43 - 4*g1^3*t^8.49 + (3*t^8.62)/g1^33 + 4*g1^14*t^8.62 + (3*t^8.68)/g1^4 + g1^25*t^8.75 + 2*g1^7*t^8.81 + 4*g1^18*t^8.94 - t^4.34/(g1^2*y) - t^6.38/(g1^14*y) - (g1^8*t^6.64)/y - (g1*t^6.83)/y - t^7.21/(g1^13*y) + t^7.34/(g1^2*y) + (g1^9*t^7.47)/y + (2*t^7.53)/(g1^9*y) + (2*g1^13*t^7.79)/y + t^7.85/(g1^5*y) + t^7.91/(g1^23*y) + (g1^6*t^7.98)/y + (2*t^8.04)/(g1^12*y) + t^8.17/(g1*y) + (2*g1^10*t^8.3)/y + (3*t^8.36)/(g1^8*y) - t^8.42/(g1^26*y) + (2*g1^3*t^8.49)/y + (g1^14*t^8.62)/y + (2*g1^7*t^8.81)/y + t^8.87/(g1^11*y) - (t^4.34*y)/g1^2 - (t^6.38*y)/g1^14 - g1^8*t^6.64*y - g1*t^6.83*y - (t^7.21*y)/g1^13 + (t^7.34*y)/g1^2 + g1^9*t^7.47*y + (2*t^7.53*y)/g1^9 + 2*g1^13*t^7.79*y + (t^7.85*y)/g1^5 + (t^7.91*y)/g1^23 + g1^6*t^7.98*y + (2*t^8.04*y)/g1^12 + (t^8.17*y)/g1 + 2*g1^10*t^8.3*y + (3*t^8.36*y)/g1^8 - (t^8.42*y)/g1^26 + 2*g1^3*t^8.49*y + g1^14*t^8.62*y + 2*g1^7*t^8.81*y + (t^8.87*y)/g1^11


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
5560 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_1M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2^2$ + $ M_3M_9$ 0.6894 0.8711 0.7915 [X:[], M:[1.1812, 1.0918, 0.9977, 1.0, 0.8188, 0.8188, 0.7294, 0.7247, 1.0023], q:[0.7729, 0.4106], qb:[0.4082, 0.5918], phi:[0.4541]] t^2.17 + t^2.19 + 2*t^2.46 + t^3. + t^3.01 + t^3.28 + t^3.55 + t^3.82 + t^4.09 + t^4.35 + 2*t^4.36 + t^4.37 + t^4.38 + 2*t^4.63 + 2*t^4.64 + 4*t^4.91 + t^5.17 + t^5.18 + t^5.19 + t^5.2 + 4*t^5.46 + t^5.72 + 2*t^5.73 + t^5.74 - 2*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
1622 SU2adj1nf2 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_1M_6$ + $ M_7\phi_1\tilde{q}_1^2$ 0.6708 0.8321 0.8061 [X:[], M:[1.1715, 1.1047, 0.9622, 1.0, 0.8285, 0.8285, 0.7617], q:[0.7762, 0.4332], qb:[0.3953, 0.6047], phi:[0.4477]] t^2.28 + 2*t^2.49 + t^2.89 + t^3. + t^3.31 + t^3.63 + t^3.83 + t^3.94 + t^4.14 + t^4.34 + t^4.46 + t^4.57 + 2*t^4.77 + 4*t^4.97 + t^5.17 + t^5.28 + t^5.37 + t^5.49 + t^5.6 + t^5.77 + 2*t^5.8 + t^5.91 - 2*t^6. - t^4.34/y - t^4.34*y detail