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
56395 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_5^2$ + $ M_3M_4$ + $ M_4M_6$ + $ M_7\phi_1^2$ + $ M_8\phi_1\tilde{q}_2^2$ 0.7345 0.915 0.8027 [X:[], M:[0.8878, 0.8326, 0.9724, 1.0276, 1.0, 0.9724, 1.0699, 0.6748], q:[0.5699, 0.5423], qb:[0.5975, 0.4301], phi:[0.465]] [X:[], M:[[1, 6], [-1, 2], [-1, -2], [1, 2], [0, 0], [-1, -2], [0, -2], [0, -5]], q:[[0, -2], [-1, -4]], qb:[[1, 0], [0, 2]], phi:[[0, 1]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_8$, $ M_2$, $ M_1$, $ M_3$, $ M_6$, $ M_5$, $ M_7$, $ q_2\tilde{q}_1$, $ M_8^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_8$, $ \phi_1q_2^2$, $ M_1M_8$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_8$, $ M_6M_8$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_5M_8$, $ M_1M_2$, $ M_7M_8$, $ M_1^2$, $ M_2M_3$, $ M_2M_6$, $ M_8q_2\tilde{q}_1$, $ M_1M_3$, $ M_1M_6$, $ M_2M_7$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ M_1M_7$, $ M_3M_5$, $ M_5M_6$, $ M_2q_2\tilde{q}_1$ . -3 t^2.02 + t^2.5 + t^2.66 + 2*t^2.92 + t^3. + t^3.21 + t^3.42 + t^4.05 + t^4.31 + t^4.4 + t^4.48 + t^4.52 + t^4.65 + t^4.69 + t^4.73 + 2*t^4.81 + t^4.9 + 2*t^4.94 + t^4.98 + t^5. + t^5.02 + t^5.16 + t^5.23 + t^5.33 + 2*t^5.42 + t^5.44 + t^5.58 + t^5.71 + 2*t^5.83 + t^5.87 + t^5.92 - 3*t^6. + t^6.07 - t^6.08 + 2*t^6.13 - t^6.17 + t^6.21 + 2*t^6.34 + t^6.42 + t^6.55 + t^6.63 + t^6.67 + t^6.71 + t^6.76 + t^6.81 + 3*t^6.84 + t^6.92 + 2*t^6.97 + t^6.98 + t^7. + t^7.02 + t^7.05 + t^7.14 + t^7.15 + 2*t^7.23 + t^7.26 + 3*t^7.31 + t^7.35 + t^7.4 + 2*t^7.44 + t^7.47 + t^7.48 + t^7.49 + 2*t^7.57 + t^7.6 + t^7.64 + 2*t^7.65 + t^7.66 + 4*t^7.73 + t^7.81 + t^7.82 + 2*t^7.86 + 2*t^7.9 + 2*t^7.91 + t^7.94 + t^7.99 - 3*t^8.02 + t^8.07 + t^8.08 + t^8.1 - t^8.11 + 2*t^8.15 - t^8.16 - t^8.19 + t^8.21 + 2*t^8.23 + t^8.24 + 2*t^8.33 + 2*t^8.36 + t^8.37 + t^8.4 + t^8.44 - 3*t^8.5 + t^8.54 + t^8.57 - 2*t^8.58 + 2*t^8.62 + t^8.65 - 4*t^8.66 + t^8.7 + t^8.74 + 2*t^8.75 + t^8.78 + t^8.79 + 3*t^8.86 - 7*t^8.92 + t^8.95 + t^8.96 + 2*t^8.99 - t^4.4/y - t^6.42/y - t^6.89/y - t^7.06/y - t^7.31/y + t^7.48/y + t^7.52/y + t^7.69/y + t^7.73/y + t^7.9/y + (2*t^7.94)/y + t^8.02/y + t^8.16/y + t^8.23/y + t^8.37/y + (2*t^8.42)/y + t^8.5/y + (2*t^8.58)/y + t^8.66/y + t^8.71/y + t^8.83/y + t^8.87/y + (2*t^8.92)/y - t^4.4*y - t^6.42*y - t^6.89*y - t^7.06*y - t^7.31*y + t^7.48*y + t^7.52*y + t^7.69*y + t^7.73*y + t^7.9*y + 2*t^7.94*y + t^8.02*y + t^8.16*y + t^8.23*y + t^8.37*y + 2*t^8.42*y + t^8.5*y + 2*t^8.58*y + t^8.66*y + t^8.71*y + t^8.83*y + t^8.87*y + 2*t^8.92*y t^2.02/g2^5 + (g2^2*t^2.5)/g1 + g1*g2^6*t^2.66 + (2*t^2.92)/(g1*g2^2) + t^3. + t^3.21/g2^2 + t^3.42/g2^4 + t^4.05/g2^10 + t^4.31/(g1*g2) + g2*t^4.4 + g1*g2^3*t^4.48 + t^4.52/(g1*g2^3) + t^4.65/(g1^2*g2^7) + g1*g2*t^4.69 + t^4.73/(g1*g2^5) + (2*t^4.81)/g2^3 + (g1*t^4.9)/g2 + (2*t^4.94)/(g1*g2^7) + g1^2*g2*t^4.98 + (g2^4*t^5.)/g1^2 + t^5.02/g2^5 + g2^8*t^5.16 + t^5.23/g2^7 + g1^2*g2^12*t^5.33 + (2*t^5.42)/g1^2 + t^5.44/g2^9 + g2^4*t^5.58 + t^5.71/g1 + (2*t^5.83)/(g1^2*g2^4) + g1*g2^4*t^5.87 + t^5.92/(g1*g2^2) - 3*t^6. + t^6.07/g2^15 - g1*g2^2*t^6.08 + (2*t^6.13)/(g1*g2^4) - g1^2*g2^4*t^6.17 + t^6.21/g2^2 + (2*t^6.34)/(g1*g2^6) + t^6.42/g2^4 + t^6.55/(g1*g2^8) + t^6.63/g2^6 + t^6.67/(g1^2*g2^12) + (g1*t^6.71)/g2^4 + t^6.76/(g1*g2^10) + (g2*t^6.81)/g1^2 + (3*t^6.84)/g2^8 + (g1*t^6.92)/g2^6 + (2*t^6.97)/(g1*g2^12) + g2^5*t^6.98 + (g1^2*t^7.)/g2^4 + t^7.02/(g1^2*g2) + t^7.05/g2^10 + g1^2*g2^9*t^7.14 + t^7.15/(g1^3*g2^5) + (2*t^7.23)/(g1^2*g2^3) + t^7.26/g2^12 + (3*t^7.31)/(g1*g2) + g1^2*g2^7*t^7.35 + g2*t^7.4 + (2*t^7.44)/(g1^2*g2^5) + t^7.47/g2^14 + g1*g2^3*t^7.48 + (g2^6*t^7.49)/g1^3 + (2*t^7.57)/(g1^3*g2^9) + t^7.6/g2 + g1^3*g2^7*t^7.64 + (2*t^7.65)/(g1^2*g2^7) + (g2^10*t^7.66)/g1 + (4*t^7.73)/(g1*g2^5) + t^7.81/g2^3 + g1*g2^14*t^7.82 + (2*t^7.86)/(g1^2*g2^9) + (2*g1*t^7.9)/g2 + (2*g2^2*t^7.91)/g1^3 + t^7.94/(g1*g2^7) + g1^3*g2^18*t^7.99 - (3*t^8.02)/g2^5 + t^8.07/(g1^2*g2^11) + (g2^6*t^8.08)/g1 + t^8.1/g2^20 - (g1*t^8.11)/g2^3 + (2*t^8.15)/(g1*g2^9) - g2^8*t^8.16 - (g1^2*t^8.19)/g2 + (g2^2*t^8.21)/g1^2 + (2*t^8.23)/g2^7 + g1*g2^10*t^8.24 + (2*t^8.33)/(g1^3*g2^2) + (2*t^8.36)/(g1*g2^11) + g2^6*t^8.37 + (g1^2*t^8.4)/g2^3 + t^8.44/g2^9 - (3*g2^2*t^8.5)/g1 + g1^2*g2^10*t^8.54 + t^8.57/(g1*g2^13) - 2*g2^4*t^8.58 + (2*t^8.62)/(g1^2*g2^2) + t^8.65/g2^11 - 4*g1*g2^6*t^8.66 + t^8.7/(g1^2*g2^17) + (g1*t^8.74)/g2^9 + (2*t^8.75)/(g1^3*g2^6) + t^8.78/(g1*g2^15) + g2^2*t^8.79 + t^8.83/(g1^2*g2^4) - g1^3*g2^10*t^8.83 + (3*t^8.86)/g2^13 - (7*t^8.92)/(g1*g2^2) + (g1*t^8.95)/g2^11 + t^8.96/(g1^3*g2^8) + (2*t^8.99)/(g1*g2^17) - (g2*t^4.4)/y - t^6.42/(g2^4*y) - (g2^3*t^6.89)/(g1*y) - (g1*g2^7*t^7.06)/y - t^7.31/(g1*g2*y) + (g1*g2^3*t^7.48)/y + t^7.52/(g1*g2^3*y) + (g1*g2*t^7.69)/y + t^7.73/(g1*g2^5*y) + (g1*t^7.9)/(g2*y) + (2*t^7.94)/(g1*g2^7*y) + t^8.02/(g2^5*y) + (g2^8*t^8.16)/y + t^8.23/(g2^7*y) + (g2^6*t^8.37)/y + (2*t^8.42)/(g1^2*y) + (g2^2*t^8.5)/(g1*y) + (2*g2^4*t^8.58)/y + (g1*g2^6*t^8.66)/y + t^8.71/(g1*y) + t^8.83/(g1^2*g2^4*y) + (g1*g2^4*t^8.87)/y + (2*t^8.92)/(g1*g2^2*y) - g2*t^4.4*y - (t^6.42*y)/g2^4 - (g2^3*t^6.89*y)/g1 - g1*g2^7*t^7.06*y - (t^7.31*y)/(g1*g2) + g1*g2^3*t^7.48*y + (t^7.52*y)/(g1*g2^3) + g1*g2*t^7.69*y + (t^7.73*y)/(g1*g2^5) + (g1*t^7.9*y)/g2 + (2*t^7.94*y)/(g1*g2^7) + (t^8.02*y)/g2^5 + g2^8*t^8.16*y + (t^8.23*y)/g2^7 + g2^6*t^8.37*y + (2*t^8.42*y)/g1^2 + (g2^2*t^8.5*y)/g1 + 2*g2^4*t^8.58*y + g1*g2^6*t^8.66*y + (t^8.71*y)/g1 + (t^8.83*y)/(g1^2*g2^4) + g1*g2^4*t^8.87*y + (2*t^8.92*y)/(g1*g2^2)


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
52115 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_5^2$ + $ M_3M_4$ + $ M_4M_6$ + $ M_7\phi_1^2$ 0.7137 0.8739 0.8167 [X:[], M:[0.8852, 0.83, 0.9724, 1.0276, 1.0, 0.9724, 1.0712], q:[0.5712, 0.5436], qb:[0.5988, 0.4288], phi:[0.4644]] t^2.49 + t^2.66 + 2*t^2.92 + t^3. + t^3.21 + t^3.43 + t^3.97 + t^4.31 + t^4.39 + t^4.48 + t^4.65 + t^4.74 + 2*t^4.82 + t^4.9 + t^4.98 + t^4.99 + t^5.15 + t^5.31 + 2*t^5.41 + t^5.57 + t^5.7 + 2*t^5.83 + t^5.87 + t^5.92 - 3*t^6. - t^4.39/y - t^4.39*y detail