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
48297 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ 0.7303 0.9135 0.7995 [X:[], M:[1.0279, 1.0484, 0.9721, 0.8548, 0.8753, 0.6693], q:[0.4274, 0.5446], qb:[0.5242, 0.6005], phi:[0.4758]] [X:[], M:[[-3, 1], [2, 0], [3, -1], [-6, 0], [-1, -1], [7, 0]], q:[[-3, 0], [6, -1]], qb:[[1, 0], [0, 1]], phi:[[-1, 0]]]
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_6$, $ M_4$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_2$, $ q_2\tilde{q}_1$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_6$, $ \phi_1\tilde{q}_1^2$, $ M_5M_6$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_6$, $ \phi_1\tilde{q}_2^2$, $ M_1M_6$, $ M_4^2$, $ M_2M_6$, $ M_4M_5$, $ M_6q_2\tilde{q}_1$, $ M_5^2$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_5\phi_1^2$, $ M_3M_5$, $ M_2M_4$, $ M_1M_5$, $ \phi_1^4$, $ M_2M_5$, $ M_3\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ M_3^2$, $ M_5q_2\tilde{q}_1$ . t^2.01 + t^2.56 + t^2.63 + t^2.85 + t^2.92 + t^3.08 + t^3.15 + t^3.21 + t^4.02 + t^4.28 + t^4.34 + t^4.51 + 2*t^4.57 + 2*t^4.63 + t^4.7 + t^4.8 + 2*t^4.86 + t^4.92 + t^5.03 + t^5.09 + t^5.13 + t^5.15 + t^5.19 + t^5.21 + t^5.25 + t^5.42 + t^5.48 + t^5.54 + 2*t^5.71 + 2*t^5.77 + t^5.83 - 2*t^6. + t^6.02 + t^6.06 + t^6.12 + t^6.29 + t^6.35 + t^6.41 + 2*t^6.58 + 2*t^6.64 + t^6.7 + t^6.81 + t^6.85 + 2*t^6.87 + t^6.91 + t^6.93 + t^6.97 + t^7.04 + t^7.1 + 2*t^7.14 + t^7.16 + 3*t^7.2 + t^7.22 + 3*t^7.26 + t^7.32 + t^7.37 + 2*t^7.43 + 3*t^7.49 + 3*t^7.55 + t^7.6 + t^7.61 + t^7.66 + t^7.69 + 2*t^7.72 + t^7.75 + 3*t^7.78 + t^7.82 + 2*t^7.84 + t^7.88 + t^7.89 + t^7.9 + t^7.98 - 2*t^8.01 + t^8.03 + t^8.05 + t^8.07 + 2*t^8.11 + t^8.13 + t^8.17 + t^8.27 + t^8.3 + 2*t^8.34 + t^8.36 + 2*t^8.4 + t^8.42 + t^8.46 - t^8.5 - 3*t^8.56 + 2*t^8.59 - 2*t^8.63 + 2*t^8.65 + t^8.69 + t^8.71 + t^8.75 - t^8.79 + t^8.82 - 2*t^8.85 + 2*t^8.88 - t^8.92 + t^8.94 + 2*t^8.98 - t^4.43/y - t^6.44/y - t^6.99/y - t^7.05/y + t^7.57/y + t^7.63/y + t^7.8/y + (2*t^7.86)/y + t^7.92/y + t^8.09/y + t^8.15/y + t^8.19/y + t^8.21/y + (2*t^8.42)/y - t^8.44/y + (2*t^8.48)/y + t^8.54/y + t^8.65/y + (2*t^8.71)/y + (3*t^8.77)/y + t^8.83/y + t^8.94/y - t^4.43*y - t^6.44*y - t^6.99*y - t^7.05*y + t^7.57*y + t^7.63*y + t^7.8*y + 2*t^7.86*y + t^7.92*y + t^8.09*y + t^8.15*y + t^8.19*y + t^8.21*y + 2*t^8.42*y - t^8.44*y + 2*t^8.48*y + t^8.54*y + t^8.65*y + 2*t^8.71*y + 3*t^8.77*y + t^8.83*y + t^8.94*y g1^7*t^2.01 + t^2.56/g1^6 + t^2.63/(g1*g2) + t^2.85/g1^2 + (g1^3*t^2.92)/g2 + (g2*t^3.08)/g1^3 + g1^2*t^3.15 + (g1^7*t^3.21)/g2 + g1^14*t^4.02 + t^4.28/g1^3 + (g1^2*t^4.34)/g2 + (g2*t^4.51)/g1^4 + 2*g1*t^4.57 + (2*g1^6*t^4.63)/g2 + (g1^11*t^4.7)/g2^2 + g2*t^4.8 + 2*g1^5*t^4.86 + (g1^10*t^4.92)/g2 + (g2^2*t^5.03)/g1 + g1^4*g2*t^5.09 + t^5.13/g1^12 + g1^9*t^5.15 + t^5.19/(g1^7*g2) + (g1^14*t^5.21)/g2 + t^5.25/(g1^2*g2^2) + t^5.42/g1^8 + t^5.48/(g1^3*g2) + (g1^2*t^5.54)/g2^2 + (2*t^5.71)/g1^4 + (2*g1*t^5.77)/g2 + (g1^6*t^5.83)/g2^2 - 2*t^6. + g1^21*t^6.02 + (g1^5*t^6.06)/g2 + (g1^10*t^6.12)/g2^2 + g1^4*t^6.29 + (g1^9*t^6.35)/g2 + (g1^14*t^6.41)/g2^2 + 2*g1^8*t^6.58 + (2*g1^13*t^6.64)/g2 + (g1^18*t^6.7)/g2^2 + g1^7*g2*t^6.81 + t^6.85/g1^9 + 2*g1^12*t^6.87 + t^6.91/(g1^4*g2) + (g1^17*t^6.93)/g2 + (g1*t^6.97)/g2^2 + g1^6*g2^2*t^7.04 + g1^11*g2*t^7.1 + (2*t^7.14)/g1^5 + g1^16*t^7.16 + (3*t^7.2)/g2 + (g1^21*t^7.22)/g2 + (3*g1^5*t^7.26)/g2^2 + (g1^10*t^7.32)/g2^3 + (g2*t^7.37)/g1^6 + (2*t^7.43)/g1 + (3*g1^4*t^7.49)/g2 + (3*g1^9*t^7.55)/g2^2 + (g2^2*t^7.6)/g1^7 + (g1^14*t^7.61)/g2^3 + (g2*t^7.66)/g1^2 + t^7.69/g1^18 + 2*g1^3*t^7.72 + t^7.75/(g1^13*g2) + (3*g1^8*t^7.78)/g2 + t^7.82/(g1^8*g2^2) + (2*g1^13*t^7.84)/g2^2 + t^7.88/(g1^3*g2^3) + (g2^2*t^7.89)/g1^3 + (g1^18*t^7.9)/g2^3 + t^7.98/g1^14 - 2*g1^7*t^8.01 + g1^28*t^8.03 + t^8.05/(g1^9*g2) + (g1^12*t^8.07)/g2 + t^8.11/(g1^4*g2^2) + (g2^3*t^8.11)/g1^4 + (g1^17*t^8.13)/g2^2 + (g1*t^8.17)/g2^3 + t^8.27/g1^10 + g1^11*t^8.3 + (2*t^8.34)/(g1^5*g2) + (g1^16*t^8.36)/g2 + (2*t^8.4)/g2^2 + (g1^21*t^8.42)/g2^2 + (g1^5*t^8.46)/g2^3 - (g2*t^8.5)/g1^11 - (3*t^8.56)/g1^6 + 2*g1^15*t^8.59 - (2*t^8.63)/(g1*g2) + (2*g1^20*t^8.65)/g2 + (g1^4*t^8.69)/g2^2 + (g1^25*t^8.71)/g2^2 + (g1^9*t^8.75)/g2^3 - (g2*t^8.79)/g1^7 + g1^14*g2*t^8.82 - (2*t^8.85)/g1^2 + 2*g1^19*t^8.88 - (g1^3*t^8.92)/g2 + (g1^24*t^8.94)/g2 + (2*g1^8*t^8.98)/g2^2 - t^4.43/(g1*y) - (g1^6*t^6.44)/y - t^6.99/(g1^7*y) - t^7.05/(g1^2*g2*y) + (g1*t^7.57)/y + (g1^6*t^7.63)/(g2*y) + (g2*t^7.8)/y + (2*g1^5*t^7.86)/y + (g1^10*t^7.92)/(g2*y) + (g1^4*g2*t^8.09)/y + (g1^9*t^8.15)/y + t^8.19/(g1^7*g2*y) + (g1^14*t^8.21)/(g2*y) + (2*t^8.42)/(g1^8*y) - (g1^13*t^8.44)/y + (2*t^8.48)/(g1^3*g2*y) + (g1^2*t^8.54)/(g2^2*y) + (g2*t^8.65)/(g1^9*y) + (2*t^8.71)/(g1^4*y) + (3*g1*t^8.77)/(g2*y) + (g1^6*t^8.83)/(g2^2*y) + (g2*t^8.94)/(g1^5*y) - (t^4.43*y)/g1 - g1^6*t^6.44*y - (t^6.99*y)/g1^7 - (t^7.05*y)/(g1^2*g2) + g1*t^7.57*y + (g1^6*t^7.63*y)/g2 + g2*t^7.8*y + 2*g1^5*t^7.86*y + (g1^10*t^7.92*y)/g2 + g1^4*g2*t^8.09*y + g1^9*t^8.15*y + (t^8.19*y)/(g1^7*g2) + (g1^14*t^8.21*y)/g2 + (2*t^8.42*y)/g1^8 - g1^13*t^8.44*y + (2*t^8.48*y)/(g1^3*g2) + (g1^2*t^8.54*y)/g2^2 + (g2*t^8.65*y)/g1^9 + (2*t^8.71*y)/g1^4 + (3*g1*t^8.77*y)/g2 + (g1^6*t^8.83*y)/g2^2 + (g2*t^8.94*y)/g1^5


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
55998 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ + $ M_1M_6$ + $ M_5X_1$ 0.6585 0.8203 0.8028 [X:[1.3457], M:[1.14, 1.1029, 0.86, 0.6914, 0.6543, 0.86], q:[0.3457, 0.5143], qb:[0.5514, 0.7943], phi:[0.4486]] t^2.07 + 2*t^2.58 + t^2.69 + t^3.2 + t^3.31 + t^3.42 + t^3.93 + 2*t^4.04 + t^4.15 + t^4.43 + t^4.54 + 2*t^4.65 + 2*t^4.77 + 2*t^5.16 + 3*t^5.27 + 2*t^5.38 + 2*t^5.78 + 2*t^5.89 - t^6. - t^4.35/y - t^4.35*y detail
55999 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ + $ M_2M_6$ + $ M_4X_1$ 0.668 0.822 0.8126 [X:[1.3333], M:[1.0197, 1.1111, 0.9803, 0.6667, 0.7581, 0.8889], q:[0.3333, 0.647], qb:[0.5556, 0.6864], phi:[0.4444]] t^2.27 + 2*t^2.67 + t^2.94 + t^3.06 + t^3.33 + t^3.61 + 2*t^4. + t^4.27 + t^4.39 + t^4.55 + t^4.67 + 2*t^4.94 + 2*t^5.22 + 4*t^5.33 + t^5.45 + 2*t^5.61 + t^5.73 + t^5.88 - t^6. - t^4.33/y - t^4.33*y detail
54585 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ + $ M_2M_7$ 0.735 0.921 0.7981 [X:[], M:[1.0277, 1.0526, 0.9723, 0.8422, 0.867, 0.6841, 0.9474], q:[0.4211, 0.5512], qb:[0.5263, 0.6066], phi:[0.4737]] t^2.05 + t^2.53 + t^2.6 + 2*t^2.84 + t^2.92 + t^3.08 + t^3.23 + t^4.1 + t^4.26 + t^4.34 + t^4.5 + 2*t^4.58 + 2*t^4.65 + t^4.73 + t^4.82 + 3*t^4.89 + t^4.97 + t^5.05 + t^5.06 + t^5.13 + t^5.14 + t^5.2 + t^5.28 + 2*t^5.37 + 2*t^5.44 + t^5.52 + 3*t^5.68 + 2*t^5.76 + t^5.83 + t^5.93 - 3*t^6. - t^4.42/y - t^4.42*y detail
56000 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ 0.7115 0.8866 0.8025 [X:[], M:[0.9742, 1.0862, 1.0258, 0.7414, 0.8534, 0.8017], q:[0.3707, 0.6552], qb:[0.5431, 0.6035], phi:[0.4569]] t^2.22 + t^2.41 + t^2.56 + t^2.74 + t^2.92 + t^3.08 + t^3.26 + t^3.59 + t^4.11 + t^4.29 + 2*t^4.45 + 2*t^4.63 + t^4.78 + 2*t^4.81 + 3*t^4.97 + t^4.99 + t^5.12 + 2*t^5.15 + 2*t^5.3 + t^5.33 + 3*t^5.48 + t^5.64 + t^5.66 + 2*t^5.82 - t^6. - t^4.37/y - t^4.37*y detail
54506 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ + $ M_7q_2\tilde{q}_1$ 0.7387 0.9262 0.7975 [X:[], M:[1.0, 1.0564, 1.0, 0.8307, 0.8871, 0.6975, 0.8871], q:[0.4153, 0.5847], qb:[0.5282, 0.5847], phi:[0.4718]] t^2.09 + t^2.49 + 2*t^2.66 + t^2.83 + 2*t^3. + t^3.17 + t^4.19 + t^4.25 + 2*t^4.42 + 2*t^4.58 + 4*t^4.75 + 4*t^4.92 + t^4.98 + 2*t^5.09 + 2*t^5.15 + t^5.26 + 4*t^5.32 + 2*t^5.49 + 5*t^5.66 + 2*t^5.83 - 2*t^6. - t^4.42/y - t^4.42*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
46383 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ 0.7095 0.8721 0.8136 [X:[], M:[1.0279, 1.0487, 0.9721, 0.8538, 0.8746], q:[0.4269, 0.5452], qb:[0.5244, 0.601], phi:[0.4756]] t^2.56 + t^2.62 + t^2.85 + t^2.92 + t^3.08 + t^3.15 + t^3.21 + t^3.99 + t^4.28 + t^4.34 + t^4.51 + t^4.57 + t^4.64 + t^4.7 + t^4.8 + t^4.87 + t^5.03 + t^5.12 + t^5.19 + t^5.25 + t^5.42 + t^5.48 + t^5.54 + 2*t^5.71 + 2*t^5.77 + t^5.83 - 2*t^6. - t^4.43/y - t^4.43*y detail