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
8763 Sp2adj1nf1 $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3^2$ 1.0923 1.2173 0.8973 [X:[1.5714], M:[1.2857, 1.1429, 1.0], q:[0.3214, 0.3929], qb:[], phi:[0.2143]] [X:[[0]], M:[[0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] 0 {a: 23979/21952, c: 26723/21952, X1: 11/7, M1: 9/7, M2: 8/7, M3: 1, q1: 9/28, q2: 11/28, phi1: 3/14}
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^4$, $ \phi_1q_1q_2$, $ M_3$, $ M_2$, $ \phi_1^2q_1q_2$, $ M_1$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ X_1$, $ \phi_1^8$, $ \phi_1^5q_1q_2$, $ M_3\phi_1^4$, $ \phi_1^2q_1^2q_2^2$ $\phi_1^6q_1q_2$ 1 t^2.57 + t^2.79 + t^3. + 2*t^3.43 + 2*t^3.86 + t^4.07 + t^4.29 + t^4.71 + t^5.14 + t^5.36 + 2*t^5.57 + t^6. + t^6.21 + 3*t^6.43 + 2*t^6.64 + 5*t^6.86 + t^7.07 + 4*t^7.29 + t^7.5 + 5*t^7.71 + 2*t^7.93 + 4*t^8.14 + 2*t^8.36 + 4*t^8.57 - t^8.79 + t^8.57/y^2 - t^3.64/y - t^4.93/y - t^6.21/y - t^6.43/y - t^6.64/y - t^7.07/y - (2*t^7.5)/y - t^7.71/y - t^7.93/y + t^8.57/y - t^8.79/y - t^3.64*y - t^4.93*y - t^6.21*y - t^6.43*y - t^6.64*y - t^7.07*y - 2*t^7.5*y - t^7.71*y - t^7.93*y + t^8.57*y - t^8.79*y + t^8.57*y^2 t^2.57 + t^2.79 + t^3. + 2*t^3.43 + 2*t^3.86 + t^4.07 + t^4.29 + t^4.71 + t^5.14 + t^5.36 + 2*t^5.57 + t^6. + t^6.21 + 3*t^6.43 + 2*t^6.64 + 5*t^6.86 + t^7.07 + 4*t^7.29 + t^7.5 + 5*t^7.71 + 2*t^7.93 + 4*t^8.14 + 2*t^8.36 + 4*t^8.57 - t^8.79 + t^8.57/y^2 - t^3.64/y - t^4.93/y - t^6.21/y - t^6.43/y - t^6.64/y - t^7.07/y - (2*t^7.5)/y - t^7.71/y - t^7.93/y + t^8.57/y - t^8.79/y - t^3.64*y - t^4.93*y - t^6.21*y - t^6.43*y - t^6.64*y - t^7.07*y - 2*t^7.5*y - t^7.71*y - t^7.93*y + t^8.57*y - t^8.79*y + t^8.57*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
8873 $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3^2$ + $ M_2M_4$ 1.1049 1.2388 0.8919 [X:[1.5714], M:[1.2857, 1.1429, 1.0, 0.8571], q:[0.3214, 0.3929], qb:[], phi:[0.2143]] 2*t^2.57 + t^2.79 + t^3. + t^3.43 + 2*t^3.86 + t^4.07 + t^4.29 + t^4.71 + 3*t^5.14 + 2*t^5.36 + 3*t^5.57 + t^6. - t^3.64/y - t^4.93/y - t^3.64*y - t^4.93*y detail {a: 495/448, c: 555/448, X1: 11/7, M1: 9/7, M2: 8/7, M3: 1, M4: 6/7, q1: 9/28, q2: 11/28, phi1: 3/14}
8872 $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3^2$ + $ M_4\phi_1q_1q_2$ 1.0857 1.2063 0.9001 [X:[1.5714], M:[1.2857, 1.1429, 1.0, 1.0714], q:[0.3214, 0.3929], qb:[], phi:[0.2143]] t^2.57 + t^3. + t^3.21 + 2*t^3.43 + 2*t^3.86 + t^4.07 + t^4.29 + t^4.71 + t^5.14 + t^5.57 + t^6. - t^3.64/y - t^4.93/y - t^3.64*y - t^4.93*y detail {a: 95337/87808, c: 105921/87808, X1: 11/7, M1: 9/7, M2: 8/7, M3: 1, M4: 15/14, q1: 9/28, q2: 11/28, phi1: 3/14}
8871 $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3^2$ + $ M_4\phi_1^4$ 1.0798 1.1958 0.9029 [X:[1.5714], M:[1.2857, 1.1429, 1.0, 1.1429], q:[0.3214, 0.3929], qb:[], phi:[0.2143]] t^2.79 + t^3. + 3*t^3.43 + 2*t^3.86 + t^4.07 + t^4.29 + t^4.71 + t^5.57 - t^6. - t^3.64/y - t^4.93/y - t^3.64*y - t^4.93*y detail {a: 23703/21952, c: 26251/21952, X1: 11/7, M1: 9/7, M2: 8/7, M3: 1, M4: 8/7, q1: 9/28, q2: 11/28, phi1: 3/14}


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
8597 Sp2adj1nf1 $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ 1.1008 1.2258 0.898 [X:[1.5882], M:[1.2353, 1.1765, 0.8824], q:[0.3088, 0.4559], qb:[], phi:[0.2059]] t^2.47 + t^2.65 + t^2.91 + 2*t^3.53 + 2*t^3.71 + t^4.15 + t^4.59 + t^4.76 + t^4.94 + t^5.12 + t^5.29 + t^5.38 + t^5.82 - t^3.62/y - t^4.85/y - t^3.62*y - t^4.85*y detail {a: 20361/18496, c: 22673/18496, X1: 27/17, M1: 21/17, M2: 20/17, M3: 15/17, q1: 21/68, q2: 31/68, phi1: 7/34}