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
1759 SU2adj1nf2 $\phi_1q_1^2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ \phi_1^4$ + $ M_1\phi_1q_2\tilde{q}_1$ + $ M_1\phi_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_3q_1\tilde{q}_2$ 0.6431 0.8462 0.76 [X:[], M:[0.75, 0.75, 0.75], q:[0.75, 0.25], qb:[0.5, 0.5], phi:[0.5]] [X:[], M:[[0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] 0 {a: 1317/2048, c: 1733/2048, M1: 3/4, M2: 3/4, M3: 3/4, q1: 3/4, q2: 1/4, qb1: 1/2, qb2: 1/2, phi1: 1/2}
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_1$, $ M_2$, $ M_3$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ q_1q_2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1M_3$, $ M_2M_3$, $ M_3^2$, $ M_1q_2\tilde{q}_1$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_1q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_1q_1q_2$, $ M_2q_1q_2$, $ M_3q_1q_2$, $ M_1\phi_1q_2^2$, $ M_2\phi_1q_2^2$, $ M_3\phi_1q_2^2$, $ q_1q_2^2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ q_1q_2^2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$ $\phi_1^3q_2^2$, $ \phi_1q_1q_2^3$, $ \phi_1^2q_2^4$, $ M_1q_1\tilde{q}_1$, $ M_2q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$ 6 5*t^2.25 + 4*t^3. + t^3.75 + 18*t^4.5 + 18*t^5.25 + 6*t^6. + 40*t^6.75 + 47*t^7.5 + 7*t^8.25 - t^4.5/y - (3*t^6.75)/y + (10*t^7.5)/y + (23*t^8.25)/y - t^4.5*y - 3*t^6.75*y + 10*t^7.5*y + 23*t^8.25*y 5*t^2.25 + 4*t^3. + t^3.75 + 18*t^4.5 + 18*t^5.25 + 6*t^6. + 40*t^6.75 + 47*t^7.5 + 7*t^8.25 - t^4.5/y - (3*t^6.75)/y + (10*t^7.5)/y + (23*t^8.25)/y - t^4.5*y - 3*t^6.75*y + 10*t^7.5*y + 23*t^8.25*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
2764 $\phi_1q_1^2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ \phi_1^4$ + $ M_1\phi_1q_2\tilde{q}_1$ + $ M_1\phi_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ 0.6621 0.8809 0.7517 [X:[], M:[0.75, 0.75, 0.75, 0.75], q:[0.75, 0.25], qb:[0.5, 0.5], phi:[0.5]] 6*t^2.25 + 4*t^3. + 24*t^4.5 + 22*t^5.25 + t^6. - t^4.5/y - t^4.5*y detail {a: 339/512, c: 451/512, M1: 3/4, M2: 3/4, M3: 3/4, M4: 3/4, q1: 3/4, q2: 1/4, qb1: 1/2, qb2: 1/2, phi1: 1/2}


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
238 SU2adj1nf2 $\phi_1q_1^2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ \phi_1^4$ + $ M_1\phi_1q_2\tilde{q}_1$ + $ M_1\phi_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_2$ 0.624 0.8115 0.769 [X:[], M:[0.75, 0.75], q:[0.75, 0.25], qb:[0.5, 0.5], phi:[0.5]] 4*t^2.25 + 4*t^3. + 2*t^3.75 + 13*t^4.5 + 14*t^5.25 + 9*t^6. - t^4.5/y - t^4.5*y detail {a: 639/1024, c: 831/1024, M1: 3/4, M2: 3/4, q1: 3/4, q2: 1/4, qb1: 1/2, qb2: 1/2, phi1: 1/2}