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
2460 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_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_4\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_4M_7$ 0.7338 0.918 0.7994 [X:[], M:[1.0, 0.8941, 0.8412, 1.0529, 1.0, 0.6853, 0.9471], q:[0.5794, 0.4206], qb:[0.5794, 0.5265], phi:[0.4735]] [X:[], M:[[0], [-4], [-6], [2], [0], [7], [-2]], q:[[3], [-3]], qb:[[3], [1]], phi:[[-1]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_6$, $ M_3$, $ M_2$, $ M_7$, $ \phi_1^2$, $ M_1$, $ M_5$, $ q_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_6$, $ \phi_1\tilde{q}_2^2$, $ M_2M_6$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6M_7$, $ M_6\phi_1^2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_1M_6$, $ M_5M_6$, $ M_2M_3$, $ M_2^2$, $ M_3M_7$, $ M_3\phi_1^2$, $ M_6q_1\tilde{q}_2$, $ M_1M_3$, $ M_3M_5$, $ M_2M_7$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_2M_5$, $ M_7^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ M_1M_7$, $ M_5M_7$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_3q_1\tilde{q}_2$ $M_1M_5$ -2 t^2.06 + t^2.52 + t^2.68 + 2*t^2.84 + 2*t^3. + t^3.32 + t^4.11 + t^4.26 + 2*t^4.42 + 2*t^4.58 + 3*t^4.74 + 5*t^4.9 + t^5.05 + 2*t^5.06 + t^5.21 + 3*t^5.36 + t^5.37 + 2*t^5.52 + 4*t^5.68 + 3*t^5.84 - 2*t^6. + t^6.17 + t^6.32 + 3*t^6.64 + 4*t^6.79 + t^6.94 + 5*t^6.95 + 4*t^7.1 + 2*t^7.11 + 6*t^7.26 + 7*t^7.42 + t^7.43 + t^7.57 + 6*t^7.58 + t^7.73 + 9*t^7.74 + 3*t^7.89 + 4*t^7.9 + 3*t^8.05 - 4*t^8.06 + 5*t^8.21 + t^8.22 + 3*t^8.36 + t^8.37 + t^8.52 + 3*t^8.69 - 6*t^8.84 + 3*t^8.85 - t^4.42/y - t^6.48/y - t^6.94/y - t^7.1/y - t^7.26/y + (2*t^7.58)/y + (2*t^7.74)/y + (3*t^7.9)/y + (2*t^8.06)/y + t^8.21/y + (3*t^8.36)/y + t^8.37/y + (4*t^8.52)/y - t^8.53/y + (3*t^8.68)/y + (5*t^8.84)/y - t^4.42*y - t^6.48*y - t^6.94*y - t^7.1*y - t^7.26*y + 2*t^7.58*y + 2*t^7.74*y + 3*t^7.9*y + 2*t^8.06*y + t^8.21*y + 3*t^8.36*y + t^8.37*y + 4*t^8.52*y - t^8.53*y + 3*t^8.68*y + 5*t^8.84*y g1^7*t^2.06 + t^2.52/g1^6 + t^2.68/g1^4 + (2*t^2.84)/g1^2 + 2*t^3. + g1^4*t^3.32 + g1^14*t^4.11 + t^4.26/g1^3 + (2*t^4.42)/g1 + 2*g1*t^4.58 + 3*g1^3*t^4.74 + 5*g1^5*t^4.9 + t^5.05/g1^12 + 2*g1^7*t^5.06 + t^5.21/g1^10 + (3*t^5.36)/g1^8 + g1^11*t^5.37 + (2*t^5.52)/g1^6 + (4*t^5.68)/g1^4 + (3*t^5.84)/g1^2 - 2*t^6. + g1^21*t^6.17 + g1^4*t^6.32 + 3*g1^8*t^6.64 + t^6.79/g1^9 + 3*g1^10*t^6.79 + t^6.94/g1^7 + 5*g1^12*t^6.95 + (4*t^7.1)/g1^5 + 2*g1^14*t^7.11 + (6*t^7.26)/g1^3 + (7*t^7.42)/g1 + g1^18*t^7.43 + t^7.57/g1^18 + 6*g1*t^7.58 + t^7.73/g1^16 + 9*g1^3*t^7.74 + (3*t^7.89)/g1^14 + 4*g1^5*t^7.9 + (3*t^8.05)/g1^12 - 4*g1^7*t^8.06 + (4*t^8.21)/g1^10 + g1^9*t^8.21 + g1^28*t^8.22 + (3*t^8.36)/g1^8 + g1^11*t^8.37 + t^8.52/g1^6 + 3*g1^15*t^8.69 - (6*t^8.84)/g1^2 + 3*g1^17*t^8.85 - t^4.42/(g1*y) - (g1^6*t^6.48)/y - t^6.94/(g1^7*y) - t^7.1/(g1^5*y) - t^7.26/(g1^3*y) + (2*g1*t^7.58)/y + (2*g1^3*t^7.74)/y + (3*g1^5*t^7.9)/y + (2*g1^7*t^8.06)/y + t^8.21/(g1^10*y) + (3*t^8.36)/(g1^8*y) + (g1^11*t^8.37)/y + (4*t^8.52)/(g1^6*y) - (g1^13*t^8.53)/y + (3*t^8.68)/(g1^4*y) + (5*t^8.84)/(g1^2*y) - (t^4.42*y)/g1 - g1^6*t^6.48*y - (t^6.94*y)/g1^7 - (t^7.1*y)/g1^5 - (t^7.26*y)/g1^3 + 2*g1*t^7.58*y + 2*g1^3*t^7.74*y + 3*g1^5*t^7.9*y + 2*g1^7*t^8.06*y + (t^8.21*y)/g1^10 + (3*t^8.36*y)/g1^8 + g1^11*t^8.37*y + (4*t^8.52*y)/g1^6 - g1^13*t^8.53*y + (3*t^8.68*y)/g1^4 + (5*t^8.84*y)/g1^2


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
4507 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_4\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_4M_7$ + $ M_6q_1\tilde{q}_2$ 0.7186 0.9004 0.7981 [X:[], M:[1.0, 0.8182, 0.7273, 1.0909, 1.0, 0.8182, 0.9091], q:[0.6364, 0.3636], qb:[0.6364, 0.5455], phi:[0.4545]] t^2.18 + 2*t^2.45 + 2*t^2.73 + 2*t^3. + t^3.55 + t^4.09 + 3*t^4.36 + 3*t^4.64 + 7*t^4.91 + 7*t^5.18 + 6*t^5.45 + 3*t^5.73 - t^6. - t^4.36/y - t^4.36*y detail {a: 15303/21296, c: 19175/21296, M1: 1, M2: 9/11, M3: 8/11, M4: 12/11, M5: 1, M6: 9/11, M7: 10/11, q1: 7/11, q2: 4/11, qb1: 7/11, qb2: 6/11, phi1: 5/11}
4499 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_4\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_4M_7$ + $ M_6^2$ + $ M_3X_1$ 0.6319 0.7837 0.8063 [X:[1.4286], M:[1.0, 0.7143, 0.5714, 1.1429, 1.0, 1.0, 0.8571], q:[0.7143, 0.2857], qb:[0.7143, 0.5714], phi:[0.4286]] t^2.14 + 2*t^2.57 + 3*t^3. + 2*t^3.86 + 4*t^4.29 + t^4.71 + 7*t^5.14 + 7*t^5.57 - t^4.29/y - t^4.29*y detail {a: 867/1372, c: 4301/5488, X1: 10/7, M1: 1, M2: 5/7, M3: 4/7, M4: 8/7, M5: 1, M6: 1, M7: 6/7, q1: 5/7, q2: 2/7, qb1: 5/7, qb2: 4/7, phi1: 3/7}


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
1396 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_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_4\phi_1^2$ + $ M_6\phi_1q_2^2$ 0.7291 0.9105 0.8008 [X:[], M:[1.0, 0.9026, 0.8539, 1.0487, 1.0, 0.6704], q:[0.573, 0.427], qb:[0.573, 0.5243], phi:[0.4757]] t^2.01 + t^2.56 + t^2.71 + t^2.85 + 2*t^3. + t^3.15 + t^3.29 + t^4.02 + t^4.28 + 2*t^4.43 + 2*t^4.57 + 3*t^4.72 + 4*t^4.87 + 2*t^5.01 + t^5.12 + t^5.16 + t^5.27 + t^5.3 + 2*t^5.42 + t^5.56 + 3*t^5.71 + 2*t^5.85 - t^6. - t^4.43/y - t^4.43*y detail