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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
55131 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_2M_5$ 0.664 0.8192 0.8105 [X:[], M:[1.1613, 1.0323, 0.8387, 0.7742, 0.9677], q:[0.3871, 0.4516], qb:[0.5806, 0.7742], phi:[0.4516]] [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] 0 {a: 316497/476656, c: 195247/238328, M1: 36/31, M2: 32/31, M3: 26/31, M4: 24/31, M5: 30/31, q1: 12/31, q2: 14/31, qb1: 18/31, qb2: 24/31, phi1: 14/31}
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_4$, $ M_3$, $ \phi_1^2$, $ M_5$, $ M_2$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_3M_4$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_5$, $ M_3\phi_1^2$, $ M_2M_4$, $ M_3M_5$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_5\phi_1^2$, $ M_1M_4$, $ M_5^2$, $ M_2\phi_1^2$ . 0 t^2.32 + t^2.52 + t^2.71 + t^2.9 + t^3.1 + t^3.48 + t^3.68 + t^3.87 + 2*t^4.06 + t^4.26 + t^4.45 + t^4.65 + 2*t^4.84 + 2*t^5.03 + 2*t^5.23 + 2*t^5.42 + t^5.61 + 2*t^5.81 + 2*t^6.19 + 3*t^6.39 + 3*t^6.58 + 3*t^6.77 + 3*t^6.97 + 4*t^7.16 + 2*t^7.35 + 5*t^7.55 + 4*t^7.74 + 4*t^7.94 + 4*t^8.13 + t^8.32 + 3*t^8.52 + t^8.71 + 3*t^8.9 - t^4.35/y - t^6.68/y - t^7.06/y + t^7.65/y + t^7.84/y + (2*t^8.03)/y + (2*t^8.23)/y + (2*t^8.42)/y + (2*t^8.61)/y + (2*t^8.81)/y - t^4.35*y - t^6.68*y - t^7.06*y + t^7.65*y + t^7.84*y + 2*t^8.03*y + 2*t^8.23*y + 2*t^8.42*y + 2*t^8.61*y + 2*t^8.81*y t^2.32 + t^2.52 + t^2.71 + t^2.9 + t^3.1 + t^3.48 + t^3.68 + t^3.87 + 2*t^4.06 + t^4.26 + t^4.45 + t^4.65 + 2*t^4.84 + 2*t^5.03 + 2*t^5.23 + 2*t^5.42 + t^5.61 + 2*t^5.81 + 2*t^6.19 + 3*t^6.39 + 3*t^6.58 + 3*t^6.77 + 3*t^6.97 + 4*t^7.16 + 2*t^7.35 + 5*t^7.55 + 4*t^7.74 + 4*t^7.94 + 4*t^8.13 + t^8.32 + 3*t^8.52 + t^8.71 + 3*t^8.9 - t^4.35/y - t^6.68/y - t^7.06/y + t^7.65/y + t^7.84/y + (2*t^8.03)/y + (2*t^8.23)/y + (2*t^8.42)/y + (2*t^8.61)/y + (2*t^8.81)/y - t^4.35*y - t^6.68*y - t^7.06*y + t^7.65*y + t^7.84*y + 2*t^8.03*y + 2*t^8.23*y + 2*t^8.42*y + 2*t^8.61*y + 2*t^8.81*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
56794 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_2M_5$ + $ M_1M_6$ 0.6779 0.8433 0.8039 [X:[], M:[1.1613, 1.0323, 0.8387, 0.7742, 0.9677, 0.8387], q:[0.3871, 0.4516], qb:[0.5806, 0.7742], phi:[0.4516]] t^2.32 + 2*t^2.52 + t^2.71 + t^2.9 + t^3.1 + t^3.68 + t^3.87 + 2*t^4.06 + t^4.26 + t^4.45 + t^4.65 + 3*t^4.84 + 4*t^5.03 + 3*t^5.23 + 3*t^5.42 + 2*t^5.61 + t^5.81 - t^6. - t^4.35/y - t^4.35*y detail {a: 161571/238328, c: 50243/59582, M1: 36/31, M2: 32/31, M3: 26/31, M4: 24/31, M5: 30/31, M6: 26/31, q1: 12/31, q2: 14/31, qb1: 18/31, qb2: 24/31, phi1: 14/31}
56793 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_2M_5$ + $ M_2M_6$ 0.667 0.8243 0.8092 [X:[], M:[1.1613, 1.0323, 0.8387, 0.7742, 0.9677, 0.9677], q:[0.3871, 0.4516], qb:[0.5806, 0.7742], phi:[0.4516]] t^2.32 + t^2.52 + t^2.71 + 2*t^2.9 + t^3.48 + t^3.68 + t^3.87 + 2*t^4.06 + t^4.26 + t^4.45 + t^4.65 + 2*t^4.84 + 2*t^5.03 + 3*t^5.23 + 2*t^5.42 + t^5.61 + 3*t^5.81 - t^6. - t^4.35/y - t^4.35*y detail {a: 158967/238328, c: 98223/119164, M1: 36/31, M2: 32/31, M3: 26/31, M4: 24/31, M5: 30/31, M6: 30/31, q1: 12/31, q2: 14/31, qb1: 18/31, qb2: 24/31, phi1: 14/31}
56792 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_2M_5$ + $ M_4M_6$ 0.6461 0.7872 0.8207 [X:[], M:[1.1613, 1.0323, 0.8387, 0.7742, 0.9677, 1.2258], q:[0.3871, 0.4516], qb:[0.5806, 0.7742], phi:[0.4516]] t^2.52 + t^2.71 + t^2.9 + t^3.1 + t^3.48 + 2*t^3.68 + t^3.87 + 2*t^4.06 + t^4.26 + t^4.45 + t^4.84 + t^5.03 + t^5.23 + t^5.42 + t^5.61 + t^5.81 - t^6. - t^4.35/y - t^4.35*y detail {a: 153975/238328, c: 93805/119164, M1: 36/31, M2: 32/31, M3: 26/31, M4: 24/31, M5: 30/31, M6: 38/31, q1: 12/31, q2: 14/31, qb1: 18/31, qb2: 24/31, phi1: 14/31}
56795 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_2M_5$ + $ M_6\phi_1q_1^2$ 0.6819 0.8513 0.8011 [X:[], M:[1.1613, 1.0323, 0.8387, 0.7742, 0.9677, 0.7742], q:[0.3871, 0.4516], qb:[0.5806, 0.7742], phi:[0.4516]] 2*t^2.32 + t^2.52 + t^2.71 + t^2.9 + t^3.1 + t^3.48 + t^3.87 + 2*t^4.06 + t^4.26 + t^4.45 + 3*t^4.65 + 3*t^4.84 + 3*t^5.03 + 3*t^5.23 + 3*t^5.42 + t^5.61 + 3*t^5.81 - t^6. - t^4.35/y - t^4.35*y detail {a: 81261/119164, c: 50721/59582, M1: 36/31, M2: 32/31, M3: 26/31, M4: 24/31, M5: 30/31, M6: 24/31, q1: 12/31, q2: 14/31, qb1: 18/31, qb2: 24/31, phi1: 14/31}


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
46948 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ 0.6669 0.8242 0.8092 [X:[], M:[1.1719, 0.9689, 0.8281, 0.7812, 0.922], q:[0.3906, 0.4375], qb:[0.6405, 0.7812], phi:[0.4375]] t^2.34 + t^2.48 + t^2.63 + t^2.77 + t^2.91 + t^3.52 + t^3.66 + t^3.8 + t^3.94 + t^4.27 + t^4.41 + t^4.55 + t^4.69 + t^4.83 + 2*t^4.97 + 2*t^5.11 + t^5.16 + 2*t^5.25 + t^5.39 + 2*t^5.53 + t^5.67 + t^5.81 - t^6. - t^4.31/y - t^4.31*y detail