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
161 SU2adj1nf2 $\phi_1q_1^2$ + $ q_1q_2$ + $ \phi_1^2X_1$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_2\phi_1\tilde{q}_1^2$ 0.4723 0.5368 0.8799 [X:[1.5], M:[1.0, 0.7183], q:[0.875, 1.125], qb:[0.5159, 0.4841], phi:[0.25]] [X:[[0]], M:[[0], [2]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ M_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ X_1$, $ M_1M_2$, $ M_2\phi_1\tilde{q}_2^2$ . -1 t^2.15 + t^3. + t^3.65 + t^3.75 + t^4.31 + t^4.5 + t^5.15 + t^5.81 - t^6. - t^6.1 + t^6.46 + t^6.65 - t^6.85 + 2*t^7.31 + t^7.4 + t^7.5 + t^7.96 - t^8.15 - t^8.35 + t^8.62 + t^8.81 - 2*t^8.9 - t^8.9/y^2 - t^3.75/y - t^5.9/y + t^7.6/y - t^8.06/y + t^8.15/y + t^8.81/y + t^8.9/y - t^3.75*y - t^5.9*y + t^7.6*y - t^8.06*y + t^8.15*y + t^8.81*y + t^8.9*y - t^8.9*y^2 g1^2*t^2.15 + t^3. + g1^2*t^3.65 + t^3.75 + g1^4*t^4.31 + t^4.5 + g1^2*t^5.15 + g1^4*t^5.81 - t^6. - t^6.1/g1^2 + g1^6*t^6.46 + g1^2*t^6.65 - t^6.85/g1^2 + 2*g1^4*t^7.31 + g1^2*t^7.4 + t^7.5 + g1^6*t^7.96 - g1^2*t^8.15 - t^8.35/g1^2 + g1^8*t^8.62 + g1^4*t^8.81 - 2*g1^2*t^8.9 - (g1^2*t^8.9)/y^2 - t^3.75/y - (g1^2*t^5.9)/y + t^7.6/(g1^2*y) - (g1^4*t^8.06)/y + (g1^2*t^8.15)/y + (g1^4*t^8.81)/y + (g1^2*t^8.9)/y - t^3.75*y - g1^2*t^5.9*y + (t^7.6*y)/g1^2 - g1^4*t^8.06*y + g1^2*t^8.15*y + g1^4*t^8.81*y + g1^2*t^8.9*y - g1^2*t^8.9*y^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
256 $\phi_1q_1^2$ + $ q_1q_2$ + $ \phi_1^2X_1$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ 0.4914 0.5715 0.8598 [X:[1.5], M:[1.0, 0.7183, 0.75], q:[0.875, 1.125], qb:[0.5159, 0.4841], phi:[0.25]] t^2.15 + t^2.25 + t^3. + t^3.65 + t^4.31 + t^4.4 + 2*t^4.5 + t^5.15 + t^5.25 + t^5.81 - t^6. - t^3.75/y - t^5.9/y - t^6./y - t^3.75*y - t^5.9*y - t^6.*y detail
255 $\phi_1q_1^2$ + $ q_1q_2$ + $ \phi_1^2X_1$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ 0.4907 0.5688 0.8627 [X:[1.5], M:[1.0, 0.75, 0.75], q:[0.875, 1.125], qb:[0.5, 0.5], phi:[0.25]] 2*t^2.25 + t^3. + t^3.75 + 4*t^4.5 + 2*t^5.25 - t^6. - t^3.75/y - (2*t^6.)/y - t^3.75*y - 2*t^6.*y detail {a: 1005/2048, c: 1165/2048, X1: 3/2, M1: 1, M2: 3/4, M3: 3/4, q1: 7/8, q2: 9/8, qb1: 1/2, qb2: 1/2, phi1: 1/4}


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
12 SU2adj1nf1 $\phi_1^2X_1$ + $ M_1q_1\tilde{q}_1$ + $ M_1^2$ + $ M_2\phi_1q_1^2$ 0.4723 0.5368 0.8799 [X:[1.5], M:[1.0, 0.7183], q:[0.5159], qb:[0.4841], phi:[0.25]] t^2.15 + t^3. + t^3.65 + t^3.75 + t^4.31 + t^4.5 + t^5.15 + t^5.81 - t^6. - t^3.75/y - t^5.9/y - t^3.75*y - t^5.9*y detail


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
102 SU2adj1nf2 $\phi_1q_1^2$ + $ q_1q_2$ + $ \phi_1^2X_1$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ 0.4526 0.4995 0.9062 [X:[1.5], M:[1.0], q:[0.875, 1.125], qb:[0.5, 0.5], phi:[0.25]] t^3. + 3*t^3.75 + t^4.5 - 3*t^6. - t^3.75/y - t^3.75*y detail {a: 927/2048, c: 1023/2048, X1: 3/2, M1: 1, q1: 7/8, q2: 9/8, qb1: 1/2, qb2: 1/2, phi1: 1/4}