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
8489 Sp2adj1nf1 $\phi_1^2X_1$ + $ M_1\phi_1q_1q_2$ + $ M_1\phi_1^4$ + $ q_1q_2X_2$ + $ M_1M_2$ 1.0895 1.2284 0.8869 [X:[1.5556, 1.3333], M:[1.1111, 0.8889], q:[0.3333, 0.3333], qb:[], phi:[0.2222]] [X:[[0], [0]], M:[[0], [0]], q:[[-1], [1]], qb:[], phi:[[0]]] 1 {a: 353/324, c: 199/162, X1: 14/9, X2: 4/3, M1: 10/9, M2: 8/9, q1: 1/3, q2: 1/3, phi1: 2/9}
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ \phi_1^4$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ X_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_2^2$, $ X_1$, $ M_2^2$, $ M_2\phi_1^4$, $ \phi_1^8$, $ M_2\phi_1q_1^2$, $ \phi_1^5q_1^2$, $ \phi_1^2q_1^4$, $ M_2\phi_1q_2^2$, $ \phi_1^5q_2^2$, $ \phi_1^2q_1^2q_2^2$, $ \phi_1^2q_2^4$, $ \phi_1^2q_1^4$, $ M_2\phi_1q_1^2$, $ \phi_1^5q_1^2$, $ M_2\phi_1q_2^2$, $ \phi_1^5q_2^2$, $ \phi_1^2q_2^4$ $M_2\phi_1^2q_1q_2$, $ \phi_1^6q_1q_2$, $ \phi_1^3q_1^3q_2$, $ \phi_1^3q_1q_2^3$ 0 4*t^2.67 + t^3.33 + 4*t^4. + t^4.67 + 10*t^5.33 + 13*t^6.67 + 2*t^7.33 + 26*t^8. - 4*t^8.67 + t^8.67/y^2 - t^3.67/y - t^5./y - (4*t^6.33)/y - (5*t^7.67)/y + (6*t^8.33)/y - t^3.67*y - t^5.*y - 4*t^6.33*y - 5*t^7.67*y + 6*t^8.33*y + t^8.67*y^2 2*t^2.67 + t^2.67/g1^2 + g1^2*t^2.67 + t^3.33 + 2*t^4. + t^4./g1^2 + g1^2*t^4. + t^4.67 + 4*t^5.33 + t^5.33/g1^4 + (2*t^5.33)/g1^2 + 2*g1^2*t^5.33 + g1^4*t^5.33 + 5*t^6.67 + t^6.67/g1^4 + (3*t^6.67)/g1^2 + 3*g1^2*t^6.67 + g1^4*t^6.67 + 2*t^7.33 + 8*t^8. + t^8./g1^6 + (3*t^8.)/g1^4 + (5*t^8.)/g1^2 + 5*g1^2*t^8. + 3*g1^4*t^8. + g1^6*t^8. - (2*t^8.67)/g1^2 - 2*g1^2*t^8.67 + t^8.67/y^2 - t^3.67/y - t^5./y - (2*t^6.33)/y - t^6.33/(g1^2*y) - (g1^2*t^6.33)/y - (3*t^7.67)/y - t^7.67/(g1^2*y) - (g1^2*t^7.67)/y + (2*t^8.33)/y + (2*t^8.33)/(g1^2*y) + (2*g1^2*t^8.33)/y - t^3.67*y - t^5.*y - 2*t^6.33*y - (t^6.33*y)/g1^2 - g1^2*t^6.33*y - 3*t^7.67*y - (t^7.67*y)/g1^2 - g1^2*t^7.67*y + 2*t^8.33*y + (2*t^8.33*y)/g1^2 + 2*g1^2*t^8.33*y + t^8.67*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
8666 $\phi_1^2X_1$ + $ M_1\phi_1q_1q_2$ + $ M_1\phi_1^4$ + $ q_1q_2X_2$ + $ M_1M_2$ + $ M_3\phi_1^2q_1q_2$ 1.0995 1.2454 0.8829 [X:[1.5556, 1.3333], M:[1.1111, 0.8889, 0.8889], q:[0.3333, 0.3333], qb:[], phi:[0.2222]] 5*t^2.67 + 4*t^4. + t^4.67 + 15*t^5.33 - 4*t^6. - t^3.67/y - t^5./y - t^3.67*y - t^5.*y detail {a: 475/432, c: 269/216, X1: 14/9, X2: 4/3, M1: 10/9, M2: 8/9, M3: 8/9, q1: 1/3, q2: 1/3, phi1: 2/9}
8665 $\phi_1^2X_1$ + $ M_1\phi_1q_1q_2$ + $ M_1\phi_1^4$ + $ q_1q_2X_2$ + $ M_1M_2$ + $ \phi_1^2q_1^4$ 1.0756 1.2145 0.8856 [X:[1.5556, 1.3333], M:[1.1111, 0.8889], q:[0.3889, 0.2778], qb:[], phi:[0.2222]] t^2.33 + 2*t^2.67 + t^3. + t^3.33 + t^3.67 + 2*t^4. + t^4.33 + 2*t^4.67 + 2*t^5. + 4*t^5.33 + 2*t^5.67 + 2*t^6. - t^3.67/y - t^5./y - t^6./y - t^3.67*y - t^5.*y - t^6.*y detail {a: 697/648, c: 787/648, X1: 14/9, X2: 4/3, M1: 10/9, M2: 8/9, q1: 7/18, q2: 5/18, phi1: 2/9}


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
8232 Sp2adj1nf1 $\phi_1^2X_1$ + $ M_1\phi_1q_1q_2$ + $ M_1\phi_1^4$ + $ q_1q_2X_2$ 1.0795 1.2114 0.8911 [X:[1.5556, 1.3333], M:[1.1111], q:[0.3333, 0.3333], qb:[], phi:[0.2222]] 3*t^2.67 + 2*t^3.33 + 4*t^4. + t^4.67 + 6*t^5.33 + 2*t^6. - t^3.67/y - t^5./y - t^3.67*y - t^5.*y detail {a: 1399/1296, c: 785/648, X1: 14/9, X2: 4/3, M1: 10/9, q1: 1/3, q2: 1/3, phi1: 2/9}