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
366 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ 0.6975 0.8554 0.8154 [X:[], M:[0.9458, 1.0181, 1.0542, 0.9096], q:[0.4896, 0.5646], qb:[0.4562, 0.5258], phi:[0.491]] [X:[], M:[[6, 6], [-2, -2], [-6, -6], [10, 10]], q:[[4, 6], [-10, -12]], qb:[[2, 0], [0, 2]], phi:[[1, 1]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_4$, $ M_1$, $ \phi_1^2$, $ M_2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_1M_4$, $ M_1^2$, $ M_4\phi_1^2$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ \phi_1^2q_1\tilde{q}_2$ . -2 t^2.73 + t^2.84 + t^2.95 + 2*t^3.05 + t^3.06 + t^3.16 + t^4.21 + t^4.31 + t^4.41 + t^4.42 + t^4.52 + t^4.54 + t^4.63 + t^4.64 + t^4.74 + t^4.86 + t^5.46 + t^5.57 + t^5.67 + 2*t^5.78 + 2*t^5.89 + t^5.99 - 2*t^6. + t^6.01 + t^6.09 + t^6.11 + t^6.12 + t^6.22 + t^6.94 + t^7.04 + t^7.05 + t^7.14 + t^7.15 + t^7.16 + t^7.25 + 2*t^7.26 + t^7.27 + 3*t^7.36 + t^7.37 + 3*t^7.46 + t^7.48 + 2*t^7.57 + t^7.58 + t^7.6 + t^7.67 + t^7.69 + t^7.7 + t^7.79 + t^7.81 + t^7.91 + t^7.92 + t^8.02 + t^8.19 + t^8.3 + t^8.4 + t^8.42 + 2*t^8.51 + t^8.52 + 3*t^8.62 + t^8.72 + t^8.82 - t^8.84 + t^8.85 + t^8.93 - t^8.95 - t^4.47/y - t^7.2/y + t^7.74/y + t^8.57/y + t^8.67/y + (3*t^8.78)/y + t^8.79/y + t^8.88/y + (2*t^8.89)/y + t^8.9/y + t^8.99/y - t^4.47*y - t^7.2*y + t^7.74*y + t^8.57*y + t^8.67*y + 3*t^8.78*y + t^8.79*y + t^8.88*y + 2*t^8.89*y + t^8.9*y + t^8.99*y g1^10*g2^10*t^2.73 + g1^6*g2^6*t^2.84 + g1^2*g2^2*t^2.95 + t^3.05/(g1^2*g2^2) + g1^4*g2^8*t^3.05 + t^3.06/(g1^8*g2^12) + t^3.16/(g1^6*g2^6) + g1^5*g2*t^4.21 + g1^7*g2^7*t^4.31 + g1^9*g2^13*t^4.41 + g1^3*g2^3*t^4.42 + g1^5*g2^9*t^4.52 + t^4.54/(g1^7*g2^11) + g1*g2^5*t^4.63 + t^4.64/(g1^5*g2^5) + t^4.74/(g1^9*g2^9) + t^4.86/(g1^19*g2^23) + g1^20*g2^20*t^5.46 + g1^16*g2^16*t^5.57 + g1^12*g2^12*t^5.67 + 2*g1^8*g2^8*t^5.78 + 2*g1^4*g2^4*t^5.89 + g1^6*g2^10*t^5.99 - 2*t^6. + t^6.01/(g1^6*g2^10) + g1^8*g2^16*t^6.09 + t^6.11/(g1^4*g2^4) + t^6.12/(g1^16*g2^24) + t^6.22/(g1^8*g2^8) + g1^15*g2^11*t^6.94 + g1^17*g2^17*t^7.04 + g1^11*g2^7*t^7.05 + g1^19*g2^23*t^7.14 + g1^13*g2^13*t^7.15 + g1^7*g2^3*t^7.16 + g1^15*g2^19*t^7.25 + 2*g1^9*g2^9*t^7.26 + t^7.27/(g1^3*g2^11) + g1^5*g2^5*t^7.36 + 2*g1^11*g2^15*t^7.36 + t^7.37/(g1*g2^5) + 2*g1^7*g2^11*t^7.46 + g1^13*g2^21*t^7.46 + t^7.48/(g1^5*g2^9) + g1^3*g2^7*t^7.57 + g1^9*g2^17*t^7.57 + t^7.58/(g1^3*g2^3) + t^7.6/(g1^15*g2^23) + g1^5*g2^13*t^7.67 + t^7.69/(g1^7*g2^7) + t^7.7/(g1^13*g2^17) + t^7.79/(g1^5*g2) + t^7.81/(g1^17*g2^21) + t^7.91/(g1^15*g2^15) + t^7.92/(g1^27*g2^35) + t^8.02/(g1^25*g2^29) + g1^30*g2^30*t^8.19 + g1^26*g2^26*t^8.3 + g1^22*g2^22*t^8.4 + g1^10*g2^2*t^8.42 + 2*g1^18*g2^18*t^8.51 + g1^12*g2^8*t^8.52 + 3*g1^14*g2^14*t^8.62 + g1^16*g2^20*t^8.72 - g1^4*t^8.74 + t^8.74/(g1^2*g2^10) + g1^18*g2^26*t^8.82 - g1^6*g2^6*t^8.84 + t^8.85/g2^4 + g1^14*g2^22*t^8.93 + t^8.95/(g1^4*g2^8) - 2*g1^2*g2^2*t^8.95 - (g1*g2*t^4.47)/y - (g1^11*g2^11*t^7.2)/y + t^7.74/(g1^9*g2^9*y) + (g1^16*g2^16*t^8.57)/y + (g1^12*g2^12*t^8.67)/y + (2*g1^8*g2^8*t^8.78)/y + (g1^14*g2^18*t^8.78)/y + (g1^2*t^8.79)/(g2^2*y) + (g1^10*g2^14*t^8.88)/y + (2*g1^4*g2^4*t^8.89)/y + t^8.9/(g1^2*g2^6*y) + (g1^6*g2^10*t^8.99)/y - g1*g2*t^4.47*y - g1^11*g2^11*t^7.2*y + (t^7.74*y)/(g1^9*g2^9) + g1^16*g2^16*t^8.57*y + g1^12*g2^12*t^8.67*y + 2*g1^8*g2^8*t^8.78*y + g1^14*g2^18*t^8.78*y + (g1^2*t^8.79*y)/g2^2 + g1^10*g2^14*t^8.88*y + 2*g1^4*g2^4*t^8.89*y + (t^8.9*y)/(g1^2*g2^6) + g1^6*g2^10*t^8.99*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
584 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_2M_5$ 0.6993 0.8588 0.8143 [X:[], M:[0.9384, 1.0205, 1.0616, 0.8973, 0.9795], q:[0.488, 0.5736], qb:[0.4504, 0.5291], phi:[0.4897]] t^2.69 + t^2.82 + 2*t^2.94 + t^3.05 + t^3.07 + t^3.18 + t^4.17 + t^4.28 + t^4.4 + t^4.41 + t^4.52 + t^4.54 + t^4.64 + t^4.65 + t^4.78 + t^4.91 + t^5.38 + t^5.51 + 2*t^5.63 + 2*t^5.75 + 3*t^5.88 + 2*t^5.99 - 3*t^6. - t^4.47/y - t^4.47*y detail
583 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\phi_1^2$ 0.6959 0.8526 0.8162 [X:[], M:[0.9532, 1.0156, 1.0468, 0.9221, 1.0156], q:[0.4912, 0.5555], qb:[0.462, 0.5224], phi:[0.4922]] t^2.77 + t^2.86 + t^3.04 + 3*t^3.05 + t^3.14 + t^4.25 + t^4.34 + t^4.42 + t^4.43 + t^4.52 + t^4.53 + t^4.61 + t^4.62 + t^4.71 + t^4.81 + t^5.53 + t^5.63 + 2*t^5.81 + 2*t^5.91 - 3*t^6. - t^4.48/y - t^4.48*y detail
1826 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ 0.6603 0.8216 0.8036 [X:[], M:[0.8359, 1.0547, 1.1641, 0.7265], q:[0.4004, 0.7637], qb:[0.4354, 0.5099], phi:[0.4726]] t^2.18 + t^2.51 + t^2.73 + t^2.84 + t^3.16 + t^3.49 + t^3.6 + t^3.82 + t^3.93 + t^4.03 + t^4.15 + t^4.25 + t^4.36 + t^4.48 + t^4.69 + t^4.91 + 2*t^5.02 + t^5.24 + 2*t^5.34 + t^5.46 + t^5.57 + 2*t^5.67 - t^4.42/y - t^4.42*y detail
1823 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_2^2$ 0.5522 0.713 0.7744 [X:[], M:[0.8536, 1.0488, 1.1464, 0.756], q:[0.6646, 0.4818], qb:[0.189, 0.7622], phi:[0.4756]] t^2.01 + t^2.27 + 2*t^2.56 + t^2.85 + t^3.15 + 2*t^3.44 + t^3.99 + t^4.02 + 2*t^4.28 + t^4.32 + t^4.54 + t^4.57 + 2*t^4.83 + 2*t^4.87 + 3*t^5.12 + t^5.16 + 4*t^5.41 + t^5.45 + 3*t^5.71 + t^6. - t^4.43/y - t^4.43*y detail
581 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1^2q_1\tilde{q}_2$ 0.6975 0.8554 0.8154 [X:[], M:[0.9459, 1.018, 1.0541, 0.9098], q:[0.491, 0.5631], qb:[0.4549, 0.5271], phi:[0.491]] t^2.73 + t^2.84 + t^2.95 + 3*t^3.05 + t^3.16 + t^4.2 + t^4.31 + 2*t^4.42 + 2*t^4.53 + 2*t^4.64 + t^4.74 + t^4.85 + t^5.46 + t^5.57 + t^5.68 + 2*t^5.78 + 2*t^5.89 - t^4.47/y - t^4.47*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
228 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ 0.7272 0.8931 0.8142 [X:[], M:[1.0, 0.7935, 1.0, 0.7935], q:[0.4543, 0.5457], qb:[0.5457, 0.6608], phi:[0.4484]] 2*t^2.38 + t^2.69 + 2*t^3. + t^3.27 + t^3.35 + t^4.07 + 2*t^4.35 + 3*t^4.62 + t^4.69 + 3*t^4.76 + 2*t^4.96 + 2*t^5.07 + t^5.31 + 4*t^5.38 + 2*t^5.69 + t^5.96 - 3*t^6. - t^4.35/y - t^4.35*y detail