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
50975 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_2^2$ 0.6466 0.8507 0.76 [X:[], M:[0.6996, 0.7159, 1.0, 0.7334, 1.0338, 0.9324, 1.0338], q:[0.7584, 0.542], qb:[0.5256, 0.2416], phi:[0.4831]] [X:[], M:[[1, 9], [-1, 1], [0, 0], [1, 5], [0, -4], [0, 8], [0, -4]], q:[[0, -1], [-1, -8]], qb:[[1, 0], [0, 1]], phi:[[0, 2]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_1$, $ M_2$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_6$, $ M_3$, $ M_5$, $ M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1M_4$, $ M_2M_4$, $ M_4^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_6$, $ M_2M_6$, $ M_4M_6$, $ M_1M_3$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_6q_2\tilde{q}_2$, $ M_3M_4$, $ M_1M_5$, $ M_1M_7$, $ M_2M_5$, $ M_2M_7$, $ M_4M_5$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_7\tilde{q}_1\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ M_6^2$, $ M_3M_6$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$, $ M_5M_6$, $ M_6M_7$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ . -3 t^2.1 + t^2.15 + t^2.2 + t^2.3 + t^2.35 + t^2.8 + t^3. + 2*t^3.1 + t^3.75 + t^4.2 + t^4.25 + 2*t^4.3 + t^4.35 + 2*t^4.4 + 2*t^4.45 + 2*t^4.5 + t^4.55 + 2*t^4.6 + 2*t^4.65 + 2*t^4.7 + t^4.9 + t^4.95 + t^5. + t^5.1 + t^5.15 + 3*t^5.2 + 2*t^5.25 + 3*t^5.3 + t^5.35 + 2*t^5.4 + 2*t^5.45 + t^5.59 + t^5.8 + t^5.85 + 2*t^5.9 - 3*t^6. + 2*t^6.1 + 2*t^6.2 + t^6.3 + t^6.35 + t^6.39 + t^6.4 + t^6.44 + t^6.45 + 3*t^6.5 + 3*t^6.55 + 3*t^6.6 + 2*t^6.65 + 3*t^6.7 + 4*t^6.75 + 4*t^6.8 + 4*t^6.85 + 2*t^6.9 + 2*t^6.95 + t^6.99 + 2*t^7. + t^7.04 + 2*t^7.05 + t^7.09 + t^7.1 + t^7.15 + 2*t^7.2 + t^7.25 + 4*t^7.3 + 3*t^7.35 + 6*t^7.4 + 2*t^7.45 + 6*t^7.5 + 2*t^7.55 + 4*t^7.6 + 2*t^7.65 + t^7.69 + 4*t^7.7 + t^7.74 + 3*t^7.75 + t^7.79 + 3*t^7.8 + t^7.9 + 2*t^7.95 + 3*t^8. + 2*t^8.05 - 2*t^8.1 - 3*t^8.15 - 2*t^8.2 - t^8.3 - t^8.35 + t^8.39 + 3*t^8.4 + t^8.44 + t^8.45 + t^8.49 + 2*t^8.5 + t^8.54 + 2*t^8.55 + 3*t^8.59 + 2*t^8.6 + t^8.64 + 3*t^8.65 + 5*t^8.7 + t^8.74 + 2*t^8.75 + t^8.79 + t^8.8 + 4*t^8.85 + 6*t^8.9 + 5*t^8.95 - t^4.45/y - t^6.55/y - t^6.6/y - t^6.65/y + t^7.3/y + (2*t^7.35)/y + t^7.4/y + (2*t^7.45)/y + (2*t^7.5)/y + (2*t^7.65)/y + t^7.9/y + t^7.95/y + t^8./y + (2*t^8.1)/y + (2*t^8.15)/y + (3*t^8.2)/y + (3*t^8.25)/y + (4*t^8.3)/y + (2*t^8.35)/y + (2*t^8.4)/y + (2*t^8.45)/y - t^8.65/y - t^8.7/y - t^8.74/y - t^8.75/y + (3*t^8.9)/y + t^8.95/y - t^4.45*y - t^6.55*y - t^6.6*y - t^6.65*y + t^7.3*y + 2*t^7.35*y + t^7.4*y + 2*t^7.45*y + 2*t^7.5*y + 2*t^7.65*y + t^7.9*y + t^7.95*y + t^8.*y + 2*t^8.1*y + 2*t^8.15*y + 3*t^8.2*y + 3*t^8.25*y + 4*t^8.3*y + 2*t^8.35*y + 2*t^8.4*y + 2*t^8.45*y - t^8.65*y - t^8.7*y - t^8.74*y - t^8.75*y + 3*t^8.9*y + t^8.95*y g1*g2^9*t^2.1 + (g2*t^2.15)/g1 + g1*g2^5*t^2.2 + g1*g2*t^2.3 + t^2.35/(g1*g2^7) + g2^8*t^2.8 + t^3. + (2*t^3.1)/g2^4 + g1*g2^3*t^3.75 + g1^2*g2^18*t^4.2 + g2^10*t^4.25 + (g2^2*t^4.3)/g1^2 + g1^2*g2^14*t^4.3 + g2^6*t^4.35 + 2*g1^2*g2^10*t^4.4 + 2*g2^2*t^4.45 + t^4.5/(g1^2*g2^6) + g1^2*g2^6*t^4.5 + t^4.55/g2^2 + 2*g1^2*g2^2*t^4.6 + (2*t^4.65)/g2^6 + (2*t^4.7)/(g1^2*g2^14) + g1*g2^17*t^4.9 + (g2^9*t^4.95)/g1 + g1*g2^13*t^5. + g1*g2^9*t^5.1 + (g2*t^5.15)/g1 + 3*g1*g2^5*t^5.2 + (2*t^5.25)/(g1*g2^3) + 3*g1*g2*t^5.3 + t^5.35/(g1*g2^7) + (2*g1*t^5.4)/g2^3 + (2*t^5.45)/(g1*g2^11) + g2^16*t^5.59 + g2^8*t^5.8 + g1^2*g2^12*t^5.85 + 2*g2^4*t^5.9 - 3*t^6. - t^6.05/(g1^2*g2^8) + g1^2*g2^4*t^6.05 + (2*t^6.1)/g2^4 + (2*t^6.2)/g2^8 + g1^3*g2^27*t^6.3 + g1*g2^19*t^6.35 + (g2^11*t^6.39)/g1 + g1^3*g2^23*t^6.4 + (g2^3*t^6.44)/g1^3 + g1*g2^15*t^6.45 + (g2^7*t^6.5)/g1 + 2*g1^3*g2^19*t^6.5 + 3*g1*g2^11*t^6.55 + (g2^3*t^6.6)/g1 + 2*g1^3*g2^15*t^6.6 + t^6.65/(g1^3*g2^5) + g1*g2^7*t^6.65 + 3*g1^3*g2^11*t^6.7 + 4*g1*g2^3*t^6.75 + (2*t^6.8)/(g1*g2^5) + 2*g1^3*g2^7*t^6.8 + (2*t^6.85)/(g1^3*g2^13) + (2*g1*t^6.85)/g2 + 2*g1^3*g2^3*t^6.9 + (2*g1*t^6.95)/g2^5 + g1^2*g2^26*t^6.99 + (2*t^7.)/(g1*g2^13) + g2^18*t^7.04 + (2*t^7.05)/(g1^3*g2^21) + (g2^10*t^7.09)/g1^2 + g1^2*g2^22*t^7.1 + g2^14*t^7.15 + 2*g1^2*g2^18*t^7.2 + g2^10*t^7.25 + (g2^2*t^7.3)/g1^2 + 3*g1^2*g2^14*t^7.3 + 3*g2^6*t^7.35 + (2*t^7.4)/(g1^2*g2^2) + 4*g1^2*g2^10*t^7.4 + 2*g2^2*t^7.45 + t^7.5/(g1^2*g2^6) + 5*g1^2*g2^6*t^7.5 + (2*t^7.55)/g2^2 + t^7.6/(g1^2*g2^10) + 3*g1^2*g2^2*t^7.6 + (2*t^7.65)/g2^6 + g1*g2^25*t^7.69 + t^7.7/(g1^2*g2^14) + (3*g1^2*t^7.7)/g2^2 + (g2^17*t^7.74)/g1 + (3*t^7.75)/g2^10 + g1*g2^21*t^7.79 + (3*t^7.8)/(g1^2*g2^18) + g1*g2^17*t^7.9 + (g2^9*t^7.95)/g1 + g1^3*g2^21*t^7.95 + 3*g1*g2^13*t^8. + (2*g2^5*t^8.05)/g1 - 2*g1*g2^9*t^8.1 - (4*g2*t^8.15)/g1 + g1^3*g2^13*t^8.15 - t^8.2/(g1^3*g2^7) - g1*g2^5*t^8.2 - g1*g2*t^8.3 - (3*t^8.35)/(g1*g2^7) + 2*g1^3*g2^5*t^8.35 + g2^24*t^8.39 - t^8.4/(g1^3*g2^15) + (3*g1*t^8.4)/g2^3 + g1^4*g2^36*t^8.4 + g1^2*g2^28*t^8.44 + t^8.45/(g1*g2^11) + g2^20*t^8.49 + (g1*t^8.5)/g2^7 + g1^4*g2^32*t^8.5 + (g2^12*t^8.54)/g1^2 + t^8.55/(g1*g2^15) + g1^2*g2^24*t^8.55 + (g2^4*t^8.59)/g1^4 + 2*g2^16*t^8.59 + 2*g1^4*g2^28*t^8.6 + (g2^8*t^8.64)/g1^2 + 3*g1^2*g2^20*t^8.65 + 3*g2^12*t^8.7 + 2*g1^4*g2^24*t^8.7 + (g2^4*t^8.74)/g1^2 + 2*g1^2*g2^16*t^8.75 + t^8.79/(g1^4*g2^4) - 3*g2^8*t^8.8 + 4*g1^4*g2^20*t^8.8 + 4*g1^2*g2^12*t^8.85 + 3*g2^4*t^8.9 + 3*g1^4*g2^16*t^8.9 + (2*t^8.95)/(g1^2*g2^4) + 3*g1^2*g2^8*t^8.95 - (g2^2*t^4.45)/y - (g1*g2^11*t^6.55)/y - (g2^3*t^6.6)/(g1*y) - (g1*g2^7*t^6.65)/y + (g1^2*g2^14*t^7.3)/y + (2*g2^6*t^7.35)/y + (g1^2*g2^10*t^7.4)/y + (2*g2^2*t^7.45)/y + t^7.5/(g1^2*g2^6*y) + (g1^2*g2^6*t^7.5)/y + (2*t^7.65)/(g2^6*y) + (g1*g2^17*t^7.9)/y + (g2^9*t^7.95)/(g1*y) + (g1*g2^13*t^8.)/y + (2*g1*g2^9*t^8.1)/y + (2*g2*t^8.15)/(g1*y) + (3*g1*g2^5*t^8.2)/y + (3*t^8.25)/(g1*g2^3*y) + (4*g1*g2*t^8.3)/y + (2*t^8.35)/(g1*g2^7*y) + (2*g1*t^8.4)/(g2^3*y) + (2*t^8.45)/(g1*g2^11*y) - (g1^2*g2^20*t^8.65)/y - (g2^12*t^8.7)/y - (g2^4*t^8.74)/(g1^2*y) - (g1^2*g2^16*t^8.75)/y + (3*g2^4*t^8.9)/y + (g1^2*g2^8*t^8.95)/y - g2^2*t^4.45*y - g1*g2^11*t^6.55*y - (g2^3*t^6.6*y)/g1 - g1*g2^7*t^6.65*y + g1^2*g2^14*t^7.3*y + 2*g2^6*t^7.35*y + g1^2*g2^10*t^7.4*y + 2*g2^2*t^7.45*y + (t^7.5*y)/(g1^2*g2^6) + g1^2*g2^6*t^7.5*y + (2*t^7.65*y)/g2^6 + g1*g2^17*t^7.9*y + (g2^9*t^7.95*y)/g1 + g1*g2^13*t^8.*y + 2*g1*g2^9*t^8.1*y + (2*g2*t^8.15*y)/g1 + 3*g1*g2^5*t^8.2*y + (3*t^8.25*y)/(g1*g2^3) + 4*g1*g2*t^8.3*y + (2*t^8.35*y)/(g1*g2^7) + (2*g1*t^8.4*y)/g2^3 + (2*t^8.45*y)/(g1*g2^11) - g1^2*g2^20*t^8.65*y - g2^12*t^8.7*y - (g2^4*t^8.74*y)/g1^2 - g1^2*g2^16*t^8.75*y + 3*g2^4*t^8.9*y + g1^2*g2^8*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
56259 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_2^2$ + $ M_1M_6$ 0.6141 0.8146 0.7539 [X:[], M:[0.8621, 0.8104, 1.0, 0.7931, 0.931, 1.1379, 0.931], q:[0.7328, 0.4052], qb:[0.4569, 0.2672], phi:[0.5345]] t^2.02 + t^2.17 + t^2.38 + t^2.43 + t^2.59 + 2*t^2.79 + t^3. + t^3.41 + t^3.78 + 2*t^4.03 + 2*t^4.19 + 2*t^4.34 + t^4.4 + t^4.45 + t^4.55 + 2*t^4.6 + 2*t^4.76 + 3*t^4.81 + t^4.86 + 3*t^4.97 + 2*t^5.02 + 4*t^5.17 + 2*t^5.22 + 3*t^5.38 + t^5.43 + 3*t^5.59 + 3*t^5.79 + t^5.95 - 2*t^6. - t^4.6/y - t^4.6*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
46859 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ 0.6504 0.8579 0.7582 [X:[], M:[0.6808, 0.6965, 1.0, 0.7299, 1.0491, 0.9019], q:[0.7623, 0.5569], qb:[0.5412, 0.2377], phi:[0.4755]] t^2.04 + t^2.09 + t^2.19 + t^2.34 + t^2.38 + t^2.71 + t^2.85 + t^3. + t^3.15 + t^3.76 + t^4.08 + t^4.13 + t^4.18 + t^4.23 + t^4.28 + 2*t^4.38 + 2*t^4.43 + t^4.47 + t^4.53 + t^4.57 + 2*t^4.67 + 2*t^4.72 + t^4.75 + 2*t^4.77 + t^4.8 + 2*t^4.9 + t^4.94 + 2*t^5.04 + t^5.09 + 3*t^5.19 + 2*t^5.24 + 2*t^5.34 + t^5.38 + t^5.41 + t^5.48 + t^5.53 + t^5.56 + 2*t^5.71 + t^5.81 + 2*t^5.85 - 2*t^6. - t^4.43/y - t^4.43*y detail