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
45433 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ + $ M_4q_1q_2$ + $ M_5q_2^2$ 1.7823 1.8928 0.9416 [X:[1.3491], M:[0.8836, 1.0691, 0.6982, 0.9764, 0.8836], q:[0.4654, 0.5582], qb:[], phi:[0.3255]] [X:[[6]], M:[[-2], [-16], [12], [-9], [-2]], q:[[8], [1]], qb:[], phi:[[-3]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_3$, $ M_1$, $ M_5$, $ M_4$, $ M_2$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ X_1$, $ M_3^2$, $ M_1M_3$, $ M_3M_5$, $ \phi_1^2q_1^2$, $ M_3M_4$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ M_2M_3$, $ M_1M_5$, $ M_5^2$, $ \phi_1^2q_2^2$, $ M_1M_4$, $ M_4M_5$, $ M_1M_2$, $ M_4^2$, $ M_2M_5$ $\phi_1^3q_1q_2$ -1 t^2.09 + 2*t^2.65 + t^2.93 + t^3.21 + t^3.63 + 2*t^4.05 + t^4.19 + 3*t^4.75 + 2*t^5.02 + 5*t^5.3 + 2*t^5.58 + 3*t^5.86 - t^6. + 3*t^6.14 + t^6.28 + t^6.41 + 3*t^6.7 + t^6.83 + 3*t^6.84 + t^6.98 + 2*t^7.12 + 2*t^7.25 + 7*t^7.4 + 6*t^7.67 + 10*t^7.95 + t^8.09 + 5*t^8.23 + 2*t^8.24 - 2*t^8.37 + t^8.38 + 7*t^8.51 - 4*t^8.65 + 7*t^8.79 + 2*t^8.93 - t^3.98/y - t^5.37/y - t^5.65/y - t^5.93/y - t^6.07/y - (2*t^6.63)/y - t^6.91/y - t^7.18/y - t^7.47/y - t^7.6/y + t^7.75/y - (3*t^8.02)/y - t^8.17/y - t^8.58/y - t^8.72/y - t^3.98*y - t^5.37*y - t^5.65*y - t^5.93*y - t^6.07*y - 2*t^6.63*y - t^6.91*y - t^7.18*y - t^7.47*y - t^7.6*y + t^7.75*y - 3*t^8.02*y - t^8.17*y - t^8.58*y - t^8.72*y g1^12*t^2.09 + (2*t^2.65)/g1^2 + t^2.93/g1^9 + t^3.21/g1^16 + t^3.63/g1^5 + 2*g1^6*t^4.05 + g1^24*t^4.19 + 3*g1^10*t^4.75 + 2*g1^3*t^5.02 + (5*t^5.3)/g1^4 + (2*t^5.58)/g1^11 + (3*t^5.86)/g1^18 - t^6. + t^6.14/g1^25 + 2*g1^18*t^6.14 + g1^36*t^6.28 + t^6.41/g1^32 + 3*g1^4*t^6.7 + t^6.83/g1^21 + 3*g1^22*t^6.84 + t^6.98/g1^3 + 2*g1^15*t^7.12 + (2*t^7.25)/g1^10 + 7*g1^8*t^7.4 + 6*g1*t^7.67 + (10*t^7.95)/g1^6 + g1^12*t^8.09 + (5*t^8.23)/g1^13 + 2*g1^30*t^8.24 - 2*g1^5*t^8.37 + g1^48*t^8.38 + (7*t^8.51)/g1^20 - (4*t^8.65)/g1^2 + (3*t^8.79)/g1^27 + 4*g1^16*t^8.79 - t^8.93/g1^9 + 3*g1^34*t^8.93 - t^3.98/(g1^3*y) - (g1^5*t^5.37)/y - t^5.65/(g1^2*y) - t^5.93/(g1^9*y) - (g1^9*t^6.07)/y - (2*t^6.63)/(g1^5*y) - t^6.91/(g1^12*y) - t^7.18/(g1^19*y) - (g1^17*t^7.47)/y - t^7.6/(g1^8*y) + (g1^10*t^7.75)/y - (3*g1^3*t^8.02)/y - (g1^21*t^8.17)/y - t^8.58/(g1^11*y) - (g1^7*t^8.72)/y - (t^3.98*y)/g1^3 - g1^5*t^5.37*y - (t^5.65*y)/g1^2 - (t^5.93*y)/g1^9 - g1^9*t^6.07*y - (2*t^6.63*y)/g1^5 - (t^6.91*y)/g1^12 - (t^7.18*y)/g1^19 - g1^17*t^7.47*y - (t^7.6*y)/g1^8 + g1^10*t^7.75*y - 3*g1^3*t^8.02*y - g1^21*t^8.17*y - (t^8.58*y)/g1^11 - g1^7*t^8.72*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
45576 $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ + $ M_4q_1q_2$ + $ M_5q_2^2$ + $ M_3^2$ + $ M_2X_2$ 1.6253 1.7087 0.9512 [X:[1.5, 1.3333], M:[0.8333, 0.6667, 1.0, 0.75, 0.8333], q:[0.6667, 0.5833], qb:[], phi:[0.25]] t^2.25 + 2*t^2.5 + t^3. + t^3.25 + t^4. + 3*t^4.5 + 2*t^4.75 + 4*t^5. + 2*t^5.25 + 3*t^5.5 - t^3.75/y - t^5.25/y - t^5.5/y - t^5.75/y - t^6./y - t^3.75*y - t^5.25*y - t^5.5*y - t^5.75*y - t^6.*y detail {a: 4993/3072, c: 5249/3072, X1: 3/2, X2: 4/3, M1: 5/6, M2: 2/3, M3: 1, M4: 3/4, M5: 5/6, q1: 2/3, q2: 7/12, 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


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
45387 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ + $ M_4q_1q_2$ 1.7719 1.8752 0.9449 [X:[1.3467], M:[0.8844, 1.0754, 0.6935, 0.9799], q:[0.4623, 0.5578], qb:[], phi:[0.3266]] t^2.08 + t^2.65 + t^2.94 + t^3.23 + t^3.35 + t^3.63 + 2*t^4.04 + t^4.16 + 2*t^4.73 + 2*t^5.02 + 3*t^5.31 + t^5.43 + t^5.59 + 2*t^5.88 - t^3.98/y - t^5.37/y - t^5.65/y - t^5.94/y - t^3.98*y - t^5.37*y - t^5.65*y - t^5.94*y detail