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
424 SU2adj1nf2 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ 0.6815 0.8422 0.8091 [X:[], M:[0.9604, 1.1268, 0.9689, 0.8732, 0.6818], q:[0.7817, 0.4408], qb:[0.5988, 0.4324], phi:[0.4366]] [X:[], M:[[-7, 1], [4, 0], [-11, -1], [-4, 0], [10, 2]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_5$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_3$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ M_5\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_5$, $ M_3M_5$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_1M_4$, $ M_1\phi_1^2$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_5q_1\tilde{q}_2$, $ M_5q_1q_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_5\phi_1\tilde{q}_2^2$ . -3 t^2.05 + 2*t^2.62 + t^2.88 + t^2.91 + t^3.64 + t^3.67 + t^3.9 + t^3.93 + t^4.09 + t^4.14 + t^4.4 + t^4.43 + 2*t^4.66 + t^4.9 + t^4.93 + t^4.95 + 3*t^5.24 + t^5.5 + t^5.53 + t^5.69 + t^5.71 + t^5.76 + t^5.79 + t^5.81 + t^5.95 - 3*t^6. - t^6.03 + t^6.14 + t^6.19 + t^6.26 + t^6.29 + t^6.45 - t^6.5 + 3*t^6.52 + 3*t^6.55 + t^6.57 + 2*t^6.71 + t^6.79 + t^6.81 + t^6.95 + t^6.97 + t^7. + t^7.02 + t^7.05 + 3*t^7.28 + t^7.52 + 2*t^7.55 + 2*t^7.57 + t^7.73 + t^7.76 + 2*t^7.81 + 2*t^7.83 + 5*t^7.86 + t^7.99 - 2*t^8.05 + t^8.12 + t^8.15 + t^8.18 + t^8.23 + 2*t^8.31 + t^8.33 - t^8.36 + t^8.38 + t^8.41 + t^8.43 + t^8.49 + 4*t^8.57 + t^8.59 - 5*t^8.62 - t^8.64 + t^8.67 + t^8.69 + t^8.72 + 2*t^8.76 + t^8.81 + t^8.83 - 2*t^8.88 - 2*t^8.91 - t^8.93 + t^8.99 - t^4.31/y - t^6.36/y - t^6.93/y - t^7.19/y - t^7.22/y + t^7.4/y + t^7.43/y + (2*t^7.66)/y + t^7.69/y + t^7.93/y + t^7.95/y + t^8.24/y + t^8.26/y - t^8.4/y + (2*t^8.5)/y + (2*t^8.53)/y + t^8.69/y + t^8.71/y + t^8.79/y + t^8.95/y - t^4.31*y - t^6.36*y - t^6.93*y - t^7.19*y - t^7.22*y + t^7.4*y + t^7.43*y + 2*t^7.66*y + t^7.69*y + t^7.93*y + t^7.95*y + t^8.24*y + t^8.26*y - t^8.4*y + 2*t^8.5*y + 2*t^8.53*y + t^8.69*y + t^8.71*y + t^8.79*y + t^8.95*y g1^10*g2^2*t^2.05 + (2*t^2.62)/g1^4 + (g2*t^2.88)/g1^7 + t^2.91/(g1^11*g2) + g1*g2*t^3.64 + t^3.67/(g1^3*g2) + (g2^2*t^3.9)/g1^2 + t^3.93/g1^6 + g1^20*g2^4*t^4.09 + g1^12*t^4.14 + g1^9*g2*t^4.4 + (g1^5*t^4.43)/g2 + 2*g1^6*g2^2*t^4.66 + g1^20*t^4.9 + g1^3*g2^3*t^4.93 + (g2*t^4.95)/g1 + (3*t^5.24)/g1^8 + (g2*t^5.5)/g1^11 + t^5.53/(g1^15*g2) + g1^11*g2^3*t^5.69 + g1^7*g2*t^5.71 + (g2^2*t^5.76)/g1^14 + t^5.79/g1^18 + t^5.81/(g1^22*g2^2) + g1^8*g2^4*t^5.95 - 3*t^6. - t^6.03/(g1^4*g2^2) + g1^30*g2^6*t^6.14 + g1^22*g2^2*t^6.19 + (g2*t^6.26)/g1^3 + t^6.29/(g1^7*g2) + g1^19*g2^3*t^6.45 - (g1^11*t^6.5)/g2 + (3*g2^2*t^6.52)/g1^6 + (3*t^6.55)/g1^10 + t^6.57/(g1^14*g2^2) + 2*g1^16*g2^4*t^6.71 + (g2^3*t^6.79)/g1^9 + (g2*t^6.81)/g1^13 + g1^30*g2^2*t^6.95 + g1^13*g2^5*t^6.97 + g1^9*g2^3*t^7. + g1^5*g2*t^7.02 + (g1*t^7.05)/g2 + 3*g1^2*g2^2*t^7.28 + g1^16*t^7.52 + (2*g2^3*t^7.55)/g1 + (2*g2*t^7.57)/g1^5 + g1^21*g2^5*t^7.73 + g1^17*g2^3*t^7.76 + (2*g2^4*t^7.81)/g1^4 + (2*g2^2*t^7.83)/g1^8 + (5*t^7.86)/g1^12 + g1^18*g2^6*t^7.99 - 2*g1^10*g2^2*t^8.05 + (g2*t^8.12)/g1^15 + t^8.15/(g1^19*g2) + g1^40*g2^8*t^8.18 + g1^32*g2^4*t^8.23 + 2*g1^7*g2^3*t^8.31 + g1^3*g2*t^8.33 - t^8.36/(g1*g2) + (g2^2*t^8.38)/g1^18 + t^8.41/g1^22 + t^8.43/(g1^26*g2^2) + g1^29*g2^5*t^8.49 + (g1^17*t^8.57)/g2 + 3*g1^4*g2^4*t^8.57 + g2^2*t^8.59 - (5*t^8.62)/g1^4 - (2*t^8.64)/(g1^8*g2^2) + (g2^3*t^8.64)/g1^21 + (g2*t^8.67)/g1^25 + t^8.69/(g1^29*g2) + t^8.72/(g1^33*g2^3) + 2*g1^26*g2^6*t^8.76 + g1^18*g2^2*t^8.81 + g1*g2^5*t^8.83 - (2*g2*t^8.88)/g1^7 - (2*t^8.91)/(g1^11*g2) - t^8.93/(g1^15*g2^3) + g1^40*g2^4*t^8.99 - t^4.31/(g1^2*y) - (g1^8*g2^2*t^6.36)/y - t^6.93/(g1^6*y) - (g2*t^7.19)/(g1^9*y) - t^7.22/(g1^13*g2*y) + (g1^9*g2*t^7.4)/y + (g1^5*t^7.43)/(g2*y) + (2*g1^6*g2^2*t^7.66)/y + (g1^2*t^7.69)/y + (g1^3*g2^3*t^7.93)/y + (g2*t^7.95)/(g1*y) + t^8.24/(g1^8*y) + t^8.26/(g1^12*g2^2*y) - (g1^18*g2^4*t^8.4)/y + (2*g2*t^8.5)/(g1^11*y) + (2*t^8.53)/(g1^15*g2*y) + (g1^11*g2^3*t^8.69)/y + (g1^7*g2*t^8.71)/y + t^8.79/(g1^18*y) + (g1^8*g2^4*t^8.95)/y - (t^4.31*y)/g1^2 - g1^8*g2^2*t^6.36*y - (t^6.93*y)/g1^6 - (g2*t^7.19*y)/g1^9 - (t^7.22*y)/(g1^13*g2) + g1^9*g2*t^7.4*y + (g1^5*t^7.43*y)/g2 + 2*g1^6*g2^2*t^7.66*y + g1^2*t^7.69*y + g1^3*g2^3*t^7.93*y + (g2*t^7.95*y)/g1 + (t^8.24*y)/g1^8 + (t^8.26*y)/(g1^12*g2^2) - g1^18*g2^4*t^8.4*y + (2*g2*t^8.5*y)/g1^11 + (2*t^8.53*y)/(g1^15*g2) + g1^11*g2^3*t^8.69*y + g1^7*g2*t^8.71*y + (t^8.79*y)/g1^18 + g1^8*g2^4*t^8.95*y


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
708 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ 0.6814 0.8416 0.8096 [X:[], M:[0.9657, 1.1263, 0.9657, 0.8737, 0.6895], q:[0.7816, 0.4368], qb:[0.5974, 0.4368], phi:[0.4368]] t^2.07 + 2*t^2.62 + 2*t^2.9 + 2*t^3.66 + 2*t^3.93 + 2*t^4.14 + 2*t^4.41 + 2*t^4.69 + t^4.9 + 2*t^4.97 + 3*t^5.24 + 2*t^5.52 + 2*t^5.72 + 3*t^5.79 - 3*t^6. - t^4.31/y - t^4.31*y detail
709 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ 0.6779 0.8345 0.8124 [X:[], M:[0.9891, 1.1291, 0.93, 0.8709, 0.7527], q:[0.7823, 0.4059], qb:[0.605, 0.465], phi:[0.4355]] t^2.26 + 2*t^2.61 + t^2.79 + t^2.97 + t^3.56 + t^3.74 + t^3.92 + t^4.1 + t^4.16 + t^4.34 + 2*t^4.52 + 2*t^4.87 + t^4.94 + t^5.05 + 4*t^5.23 + t^5.4 + 2*t^5.58 + t^5.76 + t^5.93 - 2*t^6. - t^4.31/y - t^4.31*y detail
710 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1\tilde{q}_2^2$ 0.7021 0.8818 0.7962 [X:[], M:[0.9685, 1.1251, 0.9685, 0.8749, 0.6876, 0.6876], q:[0.7813, 0.4375], qb:[0.594, 0.4375], phi:[0.4375]] 2*t^2.06 + 2*t^2.62 + 2*t^2.91 + 2*t^3.66 + t^3.94 + 4*t^4.13 + 2*t^4.41 + 4*t^4.69 + t^4.88 + 4*t^4.97 + 3*t^5.25 + 2*t^5.53 + 4*t^5.72 + 3*t^5.81 - 3*t^6. - t^4.31/y - t^4.31*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
264 SU2adj1nf2 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_4$ 0.6607 0.8017 0.8242 [X:[], M:[0.9624, 1.1278, 0.9624, 0.8722], q:[0.782, 0.4361], qb:[0.6015, 0.4361], phi:[0.4361]] 2*t^2.62 + 2*t^2.89 + 2*t^3.65 + 3*t^3.92 + t^4.15 + 2*t^4.42 + t^4.92 + 3*t^5.23 + 2*t^5.5 + 3*t^5.77 - 5*t^6. - t^4.31/y - t^4.31*y detail