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$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

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
45580 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_5\phi_1^2q_2$ + $ M_3M_5$ + $ M_2X_2$ 1.5587 1.6285 0.9571 [X:[1.5294, 1.4118], M:[0.8235, 0.5882, 1.0588, 0.7059, 0.9412], q:[0.7059, 0.5882], qb:[], phi:[0.2353]] [X:[[0], [0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] 0 {a: 122523/78608, c: 64007/39304, X1: 26/17, X2: 24/17, M1: 14/17, M2: 10/17, M3: 18/17, M4: 12/17, M5: 16/17, q1: 12/17, q2: 10/17, phi1: 4/17}
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_4$, $ M_1$, $ M_5$, $ M_3$, $ q_2^2$, $ M_4^2$, $ X_2$, $ M_1M_4$, $ \phi_1q_1q_2$, $ X_1$, $ M_1^2$, $ M_4M_5$, $ \phi_1^2q_2^2$, $ M_3M_4$, $ M_1M_5$, $ \phi_1^2q_1q_2$, $ M_1M_3$, $ M_5^2$, $ \phi_1^2q_1^2$, $ M_4q_2^2$ $\phi_1^3q_1q_2$ 1 t^2.12 + t^2.47 + t^2.82 + t^3.18 + t^3.53 + 2*t^4.24 + 3*t^4.59 + 3*t^4.94 + 2*t^5.29 + 2*t^5.65 + t^6. + 2*t^6.35 + 4*t^6.71 + 5*t^7.06 + 6*t^7.41 + 5*t^7.76 + 5*t^8.12 + 4*t^8.47 + 4*t^8.82 - t^3.71/y - t^5.12/y - t^5.47/y - (2*t^5.82)/y - t^6.18/y - t^6.53/y - t^6.88/y - (2*t^7.24)/y - (3*t^7.94)/y - (2*t^8.29)/y - (2*t^8.65)/y - t^3.71*y - t^5.12*y - t^5.47*y - 2*t^5.82*y - t^6.18*y - t^6.53*y - t^6.88*y - 2*t^7.24*y - 3*t^7.94*y - 2*t^8.29*y - 2*t^8.65*y t^2.12 + t^2.47 + t^2.82 + t^3.18 + t^3.53 + 2*t^4.24 + 3*t^4.59 + 3*t^4.94 + 2*t^5.29 + 2*t^5.65 + t^6. + 2*t^6.35 + 4*t^6.71 + 5*t^7.06 + 6*t^7.41 + 5*t^7.76 + 5*t^8.12 + 4*t^8.47 + 4*t^8.82 - t^3.71/y - t^5.12/y - t^5.47/y - (2*t^5.82)/y - t^6.18/y - t^6.53/y - t^6.88/y - (2*t^7.24)/y - (3*t^7.94)/y - (2*t^8.29)/y - (2*t^8.65)/y - t^3.71*y - t^5.12*y - t^5.47*y - 2*t^5.82*y - t^6.18*y - t^6.53*y - t^6.88*y - 2*t^7.24*y - 3*t^7.94*y - 2*t^8.29*y - 2*t^8.65*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
45603 $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ + $ M_4q_1q_2$ + $ M_5\phi_1^2q_2$ + $ M_3M_5$ + $ M_2X_2$ + $ M_3M_6$ 1.5641 1.6376 0.9551 [X:[1.5294, 1.4118], M:[0.8235, 0.5882, 1.0588, 0.7059, 0.9412, 0.9412], q:[0.7059, 0.5882], qb:[], phi:[0.2353]] t^2.12 + t^2.47 + 2*t^2.82 + t^3.53 + 2*t^4.24 + 3*t^4.59 + 4*t^4.94 + 2*t^5.29 + 3*t^5.65 - t^3.71/y - t^5.12/y - t^5.47/y - (2*t^5.82)/y - t^3.71*y - t^5.12*y - t^5.47*y - 2*t^5.82*y detail {a: 15369/9826, c: 32183/19652, X1: 26/17, X2: 24/17, M1: 14/17, M2: 10/17, M3: 18/17, M4: 12/17, M5: 16/17, M6: 16/17, q1: 12/17, q2: 10/17, phi1: 4/17}
45601 $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ + $ M_4q_1q_2$ + $ M_5\phi_1^2q_2$ + $ M_3M_5$ + $ M_2X_2$ + $ M_4M_6$ 1.5382 1.5897 0.9676 [X:[1.5294, 1.4118], M:[0.8235, 0.5882, 1.0588, 0.7059, 0.9412, 1.2941], q:[0.7059, 0.5882], qb:[], phi:[0.2353]] t^2.47 + t^2.82 + t^3.18 + t^3.53 + t^3.88 + t^4.24 + 2*t^4.59 + 2*t^4.94 + t^5.29 + t^5.65 + t^6. - t^3.71/y - t^5.12/y - t^5.47/y - t^5.82/y - t^3.71*y - t^5.12*y - t^5.47*y - t^5.82*y detail {a: 60459/39304, c: 31241/19652, X1: 26/17, X2: 24/17, M1: 14/17, M2: 10/17, M3: 18/17, M4: 12/17, M5: 16/17, M6: 22/17, q1: 12/17, q2: 10/17, phi1: 4/17}
45598 $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ + $ M_4q_1q_2$ + $ M_5\phi_1^2q_2$ + $ M_3M_5$ + $ M_2X_2$ + $ M_5M_6$ 1.5532 1.6194 0.9591 [X:[1.5294, 1.4118], M:[0.8235, 0.5882, 1.0588, 0.7059, 0.9412, 1.0588], q:[0.7059, 0.5882], qb:[], phi:[0.2353]] t^2.12 + t^2.47 + 2*t^3.18 + t^3.53 + 2*t^4.24 + 3*t^4.59 + 2*t^4.94 + 2*t^5.29 + 2*t^5.65 - t^3.71/y - t^5.12/y - t^5.47/y - (2*t^5.82)/y - t^3.71*y - t^5.12*y - t^5.47*y - 2*t^5.82*y detail {a: 3591/2312, c: 468/289, X1: 26/17, X2: 24/17, M1: 14/17, M2: 10/17, M3: 18/17, M4: 12/17, M5: 16/17, M6: 18/17, q1: 12/17, q2: 10/17, phi1: 4/17}
45585 $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ + $ M_4q_1q_2$ + $ M_5\phi_1^2q_2$ + $ M_3M_5$ + $ M_2X_2$ + $ M_6q_2^2$ 1.5737 1.6545 0.9511 [X:[1.5294, 1.4118], M:[0.8235, 0.5882, 1.0588, 0.7059, 0.9412, 0.8235], q:[0.7059, 0.5882], qb:[], phi:[0.2353]] t^2.12 + 2*t^2.47 + t^2.82 + t^3.18 + 2*t^4.24 + 4*t^4.59 + 5*t^4.94 + 3*t^5.29 + 2*t^5.65 - t^3.71/y - t^5.12/y - t^5.47/y - (2*t^5.82)/y - t^3.71*y - t^5.12*y - t^5.47*y - 2*t^5.82*y detail {a: 61851/39304, c: 32515/19652, X1: 26/17, X2: 24/17, M1: 14/17, M2: 10/17, M3: 18/17, M4: 12/17, M5: 16/17, M6: 14/17, q1: 12/17, q2: 10/17, phi1: 4/17}


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
45502 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_5\phi_1^2q_2$ 1.7891 1.9061 0.9386 [X:[1.3428], M:[0.8857, 1.0858, 0.6856, 0.9858, 0.7857], q:[0.4571, 0.5571], qb:[], phi:[0.3286]] t^2.06 + t^2.36 + t^2.66 + t^2.96 + t^3.26 + t^3.34 + 2*t^4.03 + t^4.11 + t^4.41 + 3*t^4.71 + 3*t^5.01 + 4*t^5.31 + t^5.4 + 2*t^5.61 + 2*t^5.91 - t^3.99/y - t^5.36/y - t^5.66/y - t^5.96/y - t^3.99*y - t^5.36*y - t^5.66*y - t^5.96*y detail