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
6714 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_7\phi_1q_2^2$ + $ M_8q_1\tilde{q}_1$ + $ M_1M_9$ 0.6643 0.8896 0.7467 [X:[], M:[0.9577, 1.1268, 0.9577, 0.8732, 0.6972, 0.6902, 0.8732, 0.7817, 1.0423], q:[0.7394, 0.3028], qb:[0.4789, 0.3943], phi:[0.5211]] [X:[], M:[[4], [-12], [4], [12], [5], [-18], [12], [-3], [-4]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_6$, $ M_5$, $ q_2\tilde{q}_2$, $ M_8$, $ q_2\tilde{q}_1$, $ M_4$, $ M_7$, $ M_3$, $ M_9$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ M_5M_6$, $ M_6q_2\tilde{q}_2$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_6M_8$, $ M_6q_2\tilde{q}_1$, $ M_5M_8$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_8q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ M_6M_7$, $ M_8^2$, $ \phi_1q_1q_2$, $ M_8q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_4M_5$, $ M_5M_7$, $ M_4q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ M_3M_6$, $ M_3M_5$, $ M_4M_8$, $ M_7M_8$, $ M_4q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_6M_9$, $ M_3M_8$, $ M_5M_9$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_9q_2\tilde{q}_2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_8M_9$, $ M_9q_2\tilde{q}_1$, $ M_6q_1\tilde{q}_2$, $ M_3M_4$, $ M_3M_7$, $ M_5q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_3^2$, $ M_4M_9$, $ M_7M_9$, $ M_8q_1\tilde{q}_2$, $ M_5\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ $M_3M_9$, $ M_8\phi_1q_2\tilde{q}_2$ -1 t^2.07 + 2*t^2.09 + 2*t^2.35 + 2*t^2.62 + t^2.87 + t^3.13 + t^3.4 + t^3.65 + t^4.14 + 2*t^4.16 + 4*t^4.18 + 2*t^4.42 + 5*t^4.44 + 5*t^4.69 + 4*t^4.71 + t^4.94 + 6*t^4.96 + t^5.2 + 4*t^5.22 + 3*t^5.24 + 2*t^5.47 + 4*t^5.49 + 5*t^5.75 - t^6. + 2*t^6.02 + t^6.21 + 2*t^6.23 + 2*t^6.25 + 7*t^6.27 + 2*t^6.49 + 5*t^6.51 + 8*t^6.53 + 5*t^6.76 + 9*t^6.78 + 8*t^6.8 + t^7.01 + 7*t^7.04 + 13*t^7.06 + t^7.27 + 3*t^7.29 + 13*t^7.31 + 6*t^7.33 + 2*t^7.54 + 5*t^7.56 + 13*t^7.58 + 2*t^7.82 + 11*t^7.84 + 4*t^7.86 - 3*t^8.07 + t^8.09 + 7*t^8.11 + t^8.28 + 2*t^8.3 + 2*t^8.32 - 3*t^8.35 + 15*t^8.37 + 2*t^8.56 + 5*t^8.58 + 2*t^8.6 + 7*t^8.62 + 3*t^8.64 + 5*t^8.83 + 8*t^8.85 + 7*t^8.87 + 13*t^8.89 - t^4.56/y - t^6.63/y - t^6.65/y - t^6.91/y + (2*t^7.16)/y + (2*t^7.42)/y + (4*t^7.44)/y + (3*t^7.69)/y + (4*t^7.71)/y + (2*t^7.94)/y + (6*t^7.96)/y + t^8.2/y + (5*t^8.22)/y + t^8.24/y + (4*t^8.47)/y + (5*t^8.49)/y - t^8.7/y + (5*t^8.75)/y - t^8.98/y - t^4.56*y - t^6.63*y - t^6.65*y - t^6.91*y + 2*t^7.16*y + 2*t^7.42*y + 4*t^7.44*y + 3*t^7.69*y + 4*t^7.71*y + 2*t^7.94*y + 6*t^7.96*y + t^8.2*y + 5*t^8.22*y + t^8.24*y + 4*t^8.47*y + 5*t^8.49*y - t^8.7*y + 5*t^8.75*y - t^8.98*y t^2.07/g1^18 + 2*g1^5*t^2.09 + (2*t^2.35)/g1^3 + 2*g1^12*t^2.62 + g1^4*t^2.87 + t^3.13/g1^4 + g1^11*t^3.4 + g1^3*t^3.65 + t^4.14/g1^36 + (2*t^4.16)/g1^13 + 4*g1^10*t^4.18 + (2*t^4.42)/g1^21 + 5*g1^2*t^4.44 + (5*t^4.69)/g1^6 + 4*g1^17*t^4.71 + t^4.94/g1^14 + 6*g1^9*t^4.96 + t^5.2/g1^22 + 4*g1*t^5.22 + 3*g1^24*t^5.24 + (2*t^5.47)/g1^7 + 4*g1^16*t^5.49 + 5*g1^8*t^5.75 - t^6. + 2*g1^23*t^6.02 + t^6.21/g1^54 + (2*t^6.23)/g1^31 + (2*t^6.25)/g1^8 + 7*g1^15*t^6.27 + (2*t^6.49)/g1^39 + (5*t^6.51)/g1^16 + 8*g1^7*t^6.53 + (5*t^6.76)/g1^24 + (9*t^6.78)/g1 + 8*g1^22*t^6.8 + t^7.01/g1^32 + (7*t^7.04)/g1^9 + 13*g1^14*t^7.06 + t^7.27/g1^40 + (3*t^7.29)/g1^17 + 13*g1^6*t^7.31 + 6*g1^29*t^7.33 + (2*t^7.54)/g1^25 + (5*t^7.56)/g1^2 + 13*g1^21*t^7.58 + (2*t^7.82)/g1^10 + 11*g1^13*t^7.84 + 4*g1^36*t^7.86 - (3*t^8.07)/g1^18 + g1^5*t^8.09 + 7*g1^28*t^8.11 + t^8.28/g1^72 + (2*t^8.3)/g1^49 + (2*t^8.32)/g1^26 - (3*t^8.35)/g1^3 + 15*g1^20*t^8.37 + (2*t^8.56)/g1^57 + (5*t^8.58)/g1^34 + (2*t^8.6)/g1^11 + 7*g1^12*t^8.62 + 3*g1^35*t^8.64 + (5*t^8.83)/g1^42 + (8*t^8.85)/g1^19 + 7*g1^4*t^8.87 + 13*g1^27*t^8.89 - t^4.56/(g1^2*y) - t^6.63/(g1^20*y) - (g1^3*t^6.65)/y - t^6.91/(g1^5*y) + (2*t^7.16)/(g1^13*y) + (2*t^7.42)/(g1^21*y) + (4*g1^2*t^7.44)/y + (3*t^7.69)/(g1^6*y) + (4*g1^17*t^7.71)/y + (2*t^7.94)/(g1^14*y) + (6*g1^9*t^7.96)/y + t^8.2/(g1^22*y) + (5*g1*t^8.22)/y + (g1^24*t^8.24)/y + (4*t^8.47)/(g1^7*y) + (5*g1^16*t^8.49)/y - t^8.7/(g1^38*y) + (5*g1^8*t^8.75)/y - t^8.98/(g1^23*y) - (t^4.56*y)/g1^2 - (t^6.63*y)/g1^20 - g1^3*t^6.65*y - (t^6.91*y)/g1^5 + (2*t^7.16*y)/g1^13 + (2*t^7.42*y)/g1^21 + 4*g1^2*t^7.44*y + (3*t^7.69*y)/g1^6 + 4*g1^17*t^7.71*y + (2*t^7.94*y)/g1^14 + 6*g1^9*t^7.96*y + (t^8.2*y)/g1^22 + 5*g1*t^8.22*y + g1^24*t^8.24*y + (4*t^8.47*y)/g1^7 + 5*g1^16*t^8.49*y - (t^8.7*y)/g1^38 + 5*g1^8*t^8.75*y - (t^8.98*y)/g1^23


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
5153 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_7\phi_1q_2^2$ + $ M_8q_1\tilde{q}_1$ 0.6684 0.897 0.7451 [X:[], M:[0.9548, 1.1357, 0.9548, 0.8643, 0.6935, 0.7036, 0.8643, 0.7839], q:[0.7387, 0.3065], qb:[0.4774, 0.3869], phi:[0.5226]] 2*t^2.08 + t^2.11 + 2*t^2.35 + 2*t^2.59 + 2*t^2.86 + t^3.38 + t^3.65 + 4*t^4.16 + 2*t^4.19 + t^4.22 + 5*t^4.43 + 2*t^4.46 + 4*t^4.67 + 5*t^4.7 + 8*t^4.94 + 2*t^4.97 + 3*t^5.19 + 4*t^5.22 + 6*t^5.46 + 5*t^5.73 + 2*t^5.97 - 2*t^6. - t^4.57/y - t^4.57*y detail