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
55307 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_3^2$ + $ M_2\phi_1^2$ + $ M_7\phi_1\tilde{q}_1^2$ 0.7439 0.9365 0.7943 [X:[], M:[0.8569, 1.0715, 1.0, 0.7854, 0.9386, 0.9183, 0.6687], q:[0.4949, 0.6481], qb:[0.4336, 0.5664], phi:[0.4642]] [X:[], M:[[-4, -4], [2, 2], [0, 0], [-6, -6], [2, -10], [-6, 6], [1, 13]], q:[[-2, 4], [6, 0]], qb:[[0, -6], [0, 6]], phi:[[-1, -1]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_7$, $ M_4$, $ M_1$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_3$, $ M_2$, $ M_7^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_7$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_7$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_6M_7$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_5M_7$, $ \phi_1q_1q_2$, $ M_1M_4$, $ M_3M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_6$, $ M_1^2$, $ M_4\phi_1^2$, $ M_4M_5$, $ M_2M_7$, $ \phi_1q_2^2$, $ M_1M_6$, $ M_3M_4$, $ M_1\phi_1^2$, $ M_1M_5$, $ M_6^2$, $ M_1M_3$, $ M_2M_4$, $ M_5M_6$, $ \phi_1^4$, $ M_5^2$, $ M_1M_2$, $ M_3\phi_1^2$, $ M_2M_6$ . -2 t^2.01 + t^2.36 + t^2.57 + t^2.75 + t^2.79 + t^2.82 + t^3. + t^3.21 + t^4.01 + t^4.18 + 2*t^4.36 + t^4.39 + 2*t^4.58 + t^4.64 + t^4.71 + t^4.76 + 2*t^4.79 + 2*t^4.82 + t^4.93 + t^5.01 + t^5.04 + t^5.11 + 2*t^5.14 + t^5.17 + t^5.22 + t^5.28 + t^5.33 + t^5.36 + t^5.39 + t^5.51 + 4*t^5.57 + t^5.63 + t^5.79 + t^5.97 - 2*t^6. + t^6.02 + t^6.03 - t^6.25 + 2*t^6.37 - t^6.46 + t^6.53 + 2*t^6.58 + 2*t^6.72 + t^6.75 + t^6.77 + 2*t^6.8 + 2*t^6.83 + 3*t^6.93 + 2*t^6.96 + t^6.99 + t^7.01 + t^7.04 + t^7.07 + 2*t^7.12 + 5*t^7.15 + 3*t^7.18 + t^7.23 + t^7.28 + t^7.29 + 2*t^7.33 + 3*t^7.36 + 3*t^7.39 + t^7.45 + t^7.47 + 2*t^7.5 + t^7.52 + t^7.53 + t^7.55 + 5*t^7.58 + t^7.61 + 2*t^7.64 + t^7.68 + 2*t^7.71 + t^7.74 + 2*t^7.79 - t^7.82 + t^7.85 + t^7.87 + t^7.9 + 4*t^7.93 + t^7.96 + t^7.98 + t^7.99 - 3*t^8.01 + t^8.02 + t^8.04 + t^8.08 + t^8.1 + 3*t^8.14 - t^8.17 + t^8.2 - t^8.22 - t^8.25 + t^8.26 + 2*t^8.33 - t^8.36 + 2*t^8.37 + 2*t^8.39 + t^8.45 - 2*t^8.47 + t^8.54 - 3*t^8.57 + 2*t^8.59 - t^8.6 + 4*t^8.72 - 3*t^8.75 + t^8.77 - t^8.79 + 2*t^8.8 - 5*t^8.82 + 2*t^8.83 + t^8.85 + t^8.89 + 3*t^8.94 - t^4.39/y - t^6.4/y - t^6.75/y - t^6.96/y - t^7.15/y - t^7.21/y + t^7.36/y + (2*t^7.58)/y + t^7.64/y + t^7.76/y + t^7.79/y + (2*t^7.82)/y + t^7.93/y + t^8.01/y + t^8.04/y + t^8.11/y + t^8.14/y + t^8.17/y + t^8.22/y + t^8.33/y + (2*t^8.36)/y + (2*t^8.39)/y - t^8.4/y + t^8.54/y + (3*t^8.57)/y + t^8.6/y + (2*t^8.79)/y + t^8.82/y - t^4.39*y - t^6.4*y - t^6.75*y - t^6.96*y - t^7.15*y - t^7.21*y + t^7.36*y + 2*t^7.58*y + t^7.64*y + t^7.76*y + t^7.79*y + 2*t^7.82*y + t^7.93*y + t^8.01*y + t^8.04*y + t^8.11*y + t^8.14*y + t^8.17*y + t^8.22*y + t^8.33*y + 2*t^8.36*y + 2*t^8.39*y - t^8.4*y + t^8.54*y + 3*t^8.57*y + t^8.6*y + 2*t^8.79*y + t^8.82*y g1*g2^13*t^2.01 + t^2.36/(g1^6*g2^6) + t^2.57/(g1^4*g2^4) + (g2^6*t^2.75)/g1^6 + t^2.79/(g1^2*g2^2) + (g1^2*t^2.82)/g2^10 + t^3. + g1^2*g2^2*t^3.21 + g1^2*g2^26*t^4.01 + t^4.18/(g1^3*g2^3) + (2*g2^7*t^4.36)/g1^5 + t^4.39/(g1*g2) + (2*g2^9*t^4.58)/g1^3 + (g1^5*t^4.64)/g2^7 + t^4.71/(g1^12*g2^12) + (g2^19*t^4.76)/g1^5 + (2*g2^11*t^4.79)/g1 + 2*g1^3*g2^3*t^4.82 + t^4.93/(g1^10*g2^10) + g1*g2^13*t^5.01 + g1^5*g2^5*t^5.04 + t^5.11/g1^12 + (2*t^5.14)/(g1^8*g2^8) + t^5.17/(g1^4*g2^16) + g1^3*g2^15*t^5.22 + (g1^11*t^5.28)/g2 + (g2^2*t^5.33)/g1^10 + t^5.36/(g1^6*g2^6) + t^5.39/(g1^2*g2^14) + (g2^12*t^5.51)/g1^12 + (4*t^5.57)/(g1^4*g2^4) + (g1^4*t^5.63)/g2^20 + t^5.79/(g1^2*g2^2) + (g2^8*t^5.97)/g1^4 - 2*t^6. + g1^3*g2^39*t^6.02 + (g1^4*t^6.03)/g2^8 - (g1^6*t^6.25)/g2^6 + (2*g2^20*t^6.37)/g1^4 - (g1^8*t^6.46)/g2^4 + t^6.53/(g1^9*g2^9) + (2*g2^22*t^6.58)/g1^2 + (2*g2*t^6.72)/g1^11 + t^6.75/(g1^7*g2^7) + (g2^32*t^6.77)/g1^4 + 2*g2^24*t^6.8 + 2*g1^4*g2^16*t^6.83 + (3*g2^3*t^6.93)/g1^9 + (2*t^6.96)/(g1^5*g2^5) + t^6.99/(g1*g2^13) + g1^2*g2^26*t^7.01 + g1^6*g2^18*t^7.04 + t^7.07/(g1^18*g2^18) + (2*g2^13*t^7.12)/g1^11 + (5*g2^5*t^7.15)/g1^7 + (3*t^7.18)/(g1^3*g2^3) + g1^4*g2^28*t^7.23 + t^7.28/(g1^16*g2^16) + g1^12*g2^12*t^7.29 + (2*g2^15*t^7.33)/g1^9 + (3*g2^7*t^7.36)/g1^5 + (3*t^7.39)/(g1*g2) + (g1^7*t^7.45)/g2^17 + t^7.47/(g1^18*g2^6) + (2*t^7.5)/(g1^14*g2^14) + (g2^25*t^7.52)/g1^11 + t^7.53/(g1^10*g2^22) + (g2^17*t^7.55)/g1^7 + (5*g2^9*t^7.58)/g1^3 + g1*g2*t^7.61 + (2*g1^5*t^7.64)/g2^7 + t^7.68/(g1^16*g2^4) + (2*t^7.71)/(g1^12*g2^12) + t^7.74/(g1^8*g2^20) + (2*g2^11*t^7.79)/g1 - g1^3*g2^3*t^7.82 + (g1^7*t^7.85)/g2^5 + (g2^6*t^7.87)/g1^18 + t^7.9/(g1^14*g2^2) + (4*t^7.93)/(g1^10*g2^10) + t^7.96/(g1^6*g2^18) + (g2^21*t^7.98)/g1^3 + t^7.99/(g1^2*g2^26) - 3*g1*g2^13*t^8.01 + g1^4*g2^52*t^8.02 + g1^5*g2^5*t^8.04 + (g2^8*t^8.08)/g1^16 + (g1^13*t^8.1)/g2^11 + (3*t^8.14)/(g1^8*g2^8) - t^8.17/(g1^4*g2^16) + t^8.2/g2^24 - g1^3*g2^15*t^8.22 - g1^7*g2^7*t^8.25 + (g2^18*t^8.26)/g1^18 + (2*g2^2*t^8.33)/g1^10 - t^8.36/(g1^6*g2^6) + (2*g2^33*t^8.37)/g1^3 + (2*t^8.39)/(g1^2*g2^14) + (g1^6*t^8.45)/g2^30 - 2*g1^9*g2^9*t^8.47 + (g2^4*t^8.54)/g1^8 - (3*t^8.57)/(g1^4*g2^4) + (2*g2^35*t^8.59)/g1 - t^8.6/g2^12 + (4*g2^14*t^8.72)/g1^10 - (3*g2^6*t^8.75)/g1^6 + (g2^45*t^8.77)/g1^3 - t^8.79/(g1^2*g2^2) + 2*g1*g2^37*t^8.8 - (5*g1^2*t^8.82)/g2^10 + 2*g1^5*g2^29*t^8.83 + (g1^6*t^8.85)/g2^18 + t^8.89/(g1^15*g2^15) + (3*g2^16*t^8.94)/g1^8 - t^4.39/(g1*g2*y) - (g2^12*t^6.4)/y - t^6.75/(g1^7*g2^7*y) - t^6.96/(g1^5*g2^5*y) - (g2^5*t^7.15)/(g1^7*y) - (g1*t^7.21)/(g2^11*y) + (g2^7*t^7.36)/(g1^5*y) + (2*g2^9*t^7.58)/(g1^3*y) + (g1^5*t^7.64)/(g2^7*y) + (g2^19*t^7.76)/(g1^5*y) + (g2^11*t^7.79)/(g1*y) + (2*g1^3*g2^3*t^7.82)/y + t^7.93/(g1^10*g2^10*y) + (g1*g2^13*t^8.01)/y + (g1^5*g2^5*t^8.04)/y + t^8.11/(g1^12*y) + t^8.14/(g1^8*g2^8*y) + t^8.17/(g1^4*g2^16*y) + (g1^3*g2^15*t^8.22)/y + (g2^2*t^8.33)/(g1^10*y) + (2*t^8.36)/(g1^6*g2^6*y) + (2*t^8.39)/(g1^2*g2^14*y) - (g1*g2^25*t^8.4)/y + (g2^4*t^8.54)/(g1^8*y) + (3*t^8.57)/(g1^4*g2^4*y) + t^8.6/(g2^12*y) + (2*t^8.79)/(g1^2*g2^2*y) + (g1^2*t^8.82)/(g2^10*y) - (t^4.39*y)/(g1*g2) - g2^12*t^6.4*y - (t^6.75*y)/(g1^7*g2^7) - (t^6.96*y)/(g1^5*g2^5) - (g2^5*t^7.15*y)/g1^7 - (g1*t^7.21*y)/g2^11 + (g2^7*t^7.36*y)/g1^5 + (2*g2^9*t^7.58*y)/g1^3 + (g1^5*t^7.64*y)/g2^7 + (g2^19*t^7.76*y)/g1^5 + (g2^11*t^7.79*y)/g1 + 2*g1^3*g2^3*t^7.82*y + (t^7.93*y)/(g1^10*g2^10) + g1*g2^13*t^8.01*y + g1^5*g2^5*t^8.04*y + (t^8.11*y)/g1^12 + (t^8.14*y)/(g1^8*g2^8) + (t^8.17*y)/(g1^4*g2^16) + g1^3*g2^15*t^8.22*y + (g2^2*t^8.33*y)/g1^10 + (2*t^8.36*y)/(g1^6*g2^6) + (2*t^8.39*y)/(g1^2*g2^14) - g1*g2^25*t^8.4*y + (g2^4*t^8.54*y)/g1^8 + (3*t^8.57*y)/(g1^4*g2^4) + (t^8.6*y)/g2^12 + (2*t^8.79*y)/(g1^2*g2^2) + (g1^2*t^8.82*y)/g2^10


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
56970 $M_1q_1q_2$ + $ 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_3^2$ + $ M_2\phi_1^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_2M_7$ + $ M_4X_1$ 0.687 0.8548 0.8037 [X:[1.3684], M:[0.7544, 1.1228, 1.0, 0.6316, 0.807, 0.9474, 0.8772], q:[0.5351, 0.7105], qb:[0.3421, 0.6579], phi:[0.4386]] t^2.26 + t^2.42 + 2*t^2.63 + t^2.84 + t^3. + t^3.37 + t^3.95 + t^4.11 + t^4.32 + t^4.47 + 2*t^4.53 + t^4.68 + t^4.84 + 2*t^4.89 + 2*t^5.05 + t^5.11 + 6*t^5.26 + t^5.42 + t^5.47 + t^5.58 + 2*t^5.63 + t^5.68 + t^5.79 - t^6. - t^4.32/y - t^4.32*y detail
56969 $M_1q_1q_2$ + $ 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_3^2$ + $ M_2\phi_1^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_6M_7$ 0.6959 0.8757 0.7947 [X:[], M:[0.8558, 1.0721, 1.0, 0.7836, 0.732, 1.1238, 0.8762], q:[0.598, 0.5463], qb:[0.3299, 0.6701], phi:[0.4639]] t^2.2 + t^2.35 + t^2.57 + t^2.63 + t^2.78 + t^3. + t^3.22 + t^3.37 + t^4.02 + t^4.18 + 2*t^4.39 + t^4.55 + t^4.67 + t^4.7 + t^4.76 + 2*t^4.82 + t^4.92 + 2*t^4.98 + t^5.04 + 2*t^5.13 + 2*t^5.2 + t^5.26 + t^5.35 + 3*t^5.41 + 4*t^5.57 + t^5.72 + t^5.78 + t^5.94 - t^6. - t^4.39/y - t^4.39*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
47060 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_3^2$ + $ M_2\phi_1^2$ 0.7231 0.895 0.8079 [X:[], M:[0.8566, 1.0717, 1.0, 0.7848, 0.9379, 0.9187], q:[0.4952, 0.6482], qb:[0.4331, 0.5669], phi:[0.4641]] t^2.35 + t^2.57 + t^2.76 + t^2.78 + t^2.81 + t^3. + t^3.22 + t^3.99 + t^4.18 + t^4.36 + t^4.39 + t^4.58 + t^4.64 + t^4.71 + t^4.79 + t^4.82 + t^4.92 + t^5.04 + t^5.11 + 2*t^5.14 + t^5.17 + t^5.28 + t^5.33 + t^5.35 + t^5.38 + t^5.51 + 4*t^5.57 + t^5.63 + t^5.78 + t^5.97 - 2*t^6. - t^4.39/y - t^4.39*y detail