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
4441 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_1$ + $ M_6M_7$ + $ M_4X_2$ 0.5461 0.6759 0.808 [X:[1.6923, 1.3846], M:[0.3077, 1.2308, 0.8462, 0.6154, 0.7692, 1.0769, 0.9231], q:[0.8077, 0.8846], qb:[0.2692, 0.5], phi:[0.3846]] [X:[[0], [0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] 0 {a: 19197/35152, c: 1485/2197, X1: 22/13, X2: 18/13, M1: 4/13, M2: 16/13, M3: 11/13, M4: 8/13, M5: 10/13, M6: 14/13, M7: 12/13, q1: 21/26, q2: 23/26, qb1: 7/26, qb2: 1/2, phi1: 5/13}
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_5$, $ \phi_1^2$, $ M_3$, $ M_7$, $ M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ X_2$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_3^2$, $ M_5M_7$, $ M_7\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_5M_6$, $ M_7^2$, $ M_6\phi_1^2$, $ M_3M_6$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$ $M_3\phi_1\tilde{q}_1\tilde{q}_2$ -2 2*t^2.31 + t^2.54 + t^2.77 + t^3.23 + t^3.46 + t^3.92 + t^4.15 + 4*t^4.62 + t^4.85 + 4*t^5.08 + 2*t^5.54 + 2*t^5.77 - 2*t^6. + 2*t^6.23 + 3*t^6.46 + 2*t^6.69 + 5*t^6.92 - t^7.15 + 6*t^7.38 + t^7.62 + 3*t^7.85 + 3*t^8.08 - 4*t^8.31 + t^8.54 - t^4.15/y - t^6.46/y - t^6.69/y + (2*t^7.62)/y + (3*t^7.85)/y + (2*t^8.08)/y + t^8.31/y + (2*t^8.54)/y + (2*t^8.77)/y - t^4.15*y - t^6.46*y - t^6.69*y + 2*t^7.62*y + 3*t^7.85*y + 2*t^8.08*y + t^8.31*y + 2*t^8.54*y + 2*t^8.77*y 2*t^2.31 + t^2.54 + t^2.77 + t^3.23 + t^3.46 + t^3.92 + t^4.15 + 4*t^4.62 + t^4.85 + 4*t^5.08 + 2*t^5.54 + 2*t^5.77 - 2*t^6. + 2*t^6.23 + 3*t^6.46 + 2*t^6.69 + 5*t^6.92 - t^7.15 + 6*t^7.38 + t^7.62 + 3*t^7.85 + 3*t^8.08 - 4*t^8.31 + t^8.54 - t^4.15/y - t^6.46/y - t^6.69/y + (2*t^7.62)/y + (3*t^7.85)/y + (2*t^8.08)/y + t^8.31/y + (2*t^8.54)/y + (2*t^8.77)/y - t^4.15*y - t^6.46*y - t^6.69*y + 2*t^7.62*y + 3*t^7.85*y + 2*t^8.08*y + t^8.31*y + 2*t^8.54*y + 2*t^8.77*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
5953 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_1$ + $ M_6M_7$ + $ M_4X_2$ + $ M_6M_8$ 0.5532 0.6878 0.8043 [X:[1.6923, 1.3846], M:[0.3077, 1.2308, 0.8462, 0.6154, 0.7692, 1.0769, 0.9231, 0.9231], q:[0.8077, 0.8846], qb:[0.2692, 0.5], phi:[0.3846]] 2*t^2.31 + t^2.54 + 2*t^2.77 + t^3.46 + t^3.92 + t^4.15 + 4*t^4.62 + t^4.85 + 6*t^5.08 + t^5.31 + 2*t^5.54 + t^5.77 - 3*t^6. - t^4.15/y - t^4.15*y detail {a: 9723/17576, c: 12089/17576, X1: 22/13, X2: 18/13, M1: 4/13, M2: 16/13, M3: 11/13, M4: 8/13, M5: 10/13, M6: 14/13, M7: 12/13, M8: 12/13, q1: 21/26, q2: 23/26, qb1: 7/26, qb2: 1/2, phi1: 5/13}


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
2400 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_1$ 0.6743 0.8589 0.7851 [X:[1.5584], M:[0.4416, 1.1861, 0.7792, 0.8832, 0.8139, 0.6753, 0.7446], q:[0.7965, 0.7619], qb:[0.4589, 0.355], phi:[0.4069]] t^2.03 + t^2.23 + t^2.34 + 2*t^2.44 + t^2.65 + t^3.35 + t^3.45 + t^3.66 + t^4.05 + t^4.26 + t^4.36 + 3*t^4.47 + 2*t^4.57 + 5*t^4.68 + t^4.78 + 5*t^4.88 + t^4.99 + t^5.09 + t^5.3 + t^5.38 + t^5.48 + t^5.58 + 2*t^5.69 + 4*t^5.79 + 2*t^5.9 - 2*t^6. - t^4.22/y - t^4.22*y detail