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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
3605 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ 0.6466 0.8088 0.7995 [X:[], M:[1.1892, 0.7568, 0.8108, 1.1351, 0.8649, 1.0811], q:[0.4324, 0.3784], qb:[0.7568, 0.4865], phi:[0.4865]] [X:[], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] 0 {a: 131013/202612, c: 163869/202612, M1: 44/37, M2: 28/37, M3: 30/37, M4: 42/37, M5: 32/37, M6: 40/37, q1: 16/37, q2: 14/37, qb1: 28/37, qb2: 18/37, phi1: 18/37}
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ M_3$, $ M_5$, $ \phi_1^2$, $ M_6$, $ M_4$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ M_2\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_2M_6$, $ M_5\phi_1^2$, $ M_2M_4$, $ M_3M_6$, $ M_1M_2$, $ M_3M_4$, $ M_5M_6$, $ \phi_1^4$ . 0 t^2.27 + t^2.43 + t^2.59 + t^2.92 + t^3.24 + t^3.41 + t^3.57 + t^3.73 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + t^4.54 + t^4.7 + 2*t^4.86 + t^5.03 + 2*t^5.19 + t^5.35 + 2*t^5.51 + t^5.68 + 2*t^5.84 + t^6.16 + 3*t^6.32 + 4*t^6.49 + 4*t^6.65 + 3*t^6.81 + 4*t^6.97 + 2*t^7.14 + 3*t^7.3 + 3*t^7.46 + 3*t^7.62 + 5*t^7.78 + 3*t^7.95 + 5*t^8.11 + t^8.27 + 2*t^8.43 + t^8.59 + 4*t^8.76 + 3*t^8.92 - t^4.46/y - t^6.73/y + t^7.22/y - t^7.38/y + t^7.54/y + t^7.86/y + t^8.03/y + (2*t^8.19)/y + t^8.35/y + (2*t^8.51)/y + (2*t^8.68)/y + (3*t^8.84)/y - t^4.46*y - t^6.73*y + t^7.22*y - t^7.38*y + t^7.54*y + t^7.86*y + t^8.03*y + 2*t^8.19*y + t^8.35*y + 2*t^8.51*y + 2*t^8.68*y + 3*t^8.84*y t^2.27 + t^2.43 + t^2.59 + t^2.92 + t^3.24 + t^3.41 + t^3.57 + t^3.73 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + t^4.54 + t^4.7 + 2*t^4.86 + t^5.03 + 2*t^5.19 + t^5.35 + 2*t^5.51 + t^5.68 + 2*t^5.84 + t^6.16 + 3*t^6.32 + 4*t^6.49 + 4*t^6.65 + 3*t^6.81 + 4*t^6.97 + 2*t^7.14 + 3*t^7.3 + 3*t^7.46 + 3*t^7.62 + 5*t^7.78 + 3*t^7.95 + 5*t^8.11 + t^8.27 + 2*t^8.43 + t^8.59 + 4*t^8.76 + 3*t^8.92 - t^4.46/y - t^6.73/y + t^7.22/y - t^7.38/y + t^7.54/y + t^7.86/y + t^8.03/y + (2*t^8.19)/y + t^8.35/y + (2*t^8.51)/y + (2*t^8.68)/y + (3*t^8.84)/y - t^4.46*y - t^6.73*y + t^7.22*y - t^7.38*y + t^7.54*y + t^7.86*y + t^8.03*y + 2*t^8.19*y + t^8.35*y + 2*t^8.51*y + 2*t^8.68*y + 3*t^8.84*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
5276 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_7$ 0.6279 0.7748 0.8103 [X:[], M:[1.1892, 0.7568, 0.8108, 1.1351, 0.8649, 1.0811, 1.2432], q:[0.4324, 0.3784], qb:[0.7568, 0.4865], phi:[0.4865]] t^2.43 + t^2.59 + t^2.92 + t^3.24 + t^3.41 + t^3.57 + 2*t^3.73 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + t^4.86 + t^5.03 + t^5.19 + t^5.35 + t^5.51 + t^5.84 - t^6. - t^4.46/y - t^4.46*y detail {a: 508851/810448, c: 313977/405224, M1: 44/37, M2: 28/37, M3: 30/37, M4: 42/37, M5: 32/37, M6: 40/37, M7: 46/37, q1: 16/37, q2: 14/37, qb1: 28/37, qb2: 18/37, phi1: 18/37}
5278 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_1q_2$ 0.6671 0.8478 0.7868 [X:[], M:[1.1892, 0.7568, 0.8108, 1.1351, 0.8649, 1.0811, 0.7027], q:[0.4324, 0.3784], qb:[0.7568, 0.4865], phi:[0.4865]] t^2.11 + t^2.27 + t^2.43 + t^2.59 + t^2.92 + t^3.24 + t^3.41 + t^3.57 + t^3.73 + 2*t^4.05 + 2*t^4.22 + 2*t^4.38 + 2*t^4.54 + 2*t^4.7 + 2*t^4.86 + 2*t^5.03 + 2*t^5.19 + 2*t^5.35 + 3*t^5.51 + 2*t^5.68 + 3*t^5.84 - t^4.46/y - t^4.46*y detail {a: 540651/810448, c: 343567/405224, M1: 44/37, M2: 28/37, M3: 30/37, M4: 42/37, M5: 32/37, M6: 40/37, M7: 26/37, q1: 16/37, q2: 14/37, qb1: 28/37, qb2: 18/37, phi1: 18/37}
5277 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ 0.6654 0.8427 0.7895 [X:[], M:[1.1892, 0.7568, 0.8108, 1.1351, 0.8649, 1.0811, 0.7568], q:[0.4324, 0.3784], qb:[0.7568, 0.4865], phi:[0.4865]] 2*t^2.27 + t^2.43 + t^2.59 + t^2.92 + t^3.24 + t^3.41 + t^3.57 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + 3*t^4.54 + 2*t^4.7 + 3*t^4.86 + t^5.03 + 3*t^5.19 + t^5.35 + 3*t^5.51 + 2*t^5.68 + 3*t^5.84 - t^6. - t^4.46/y - t^4.46*y detail {a: 539253/810448, c: 341499/405224, M1: 44/37, M2: 28/37, M3: 30/37, M4: 42/37, M5: 32/37, M6: 40/37, M7: 28/37, q1: 16/37, q2: 14/37, qb1: 28/37, qb2: 18/37, phi1: 18/37}


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
2991 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ 0.6541 0.8213 0.7964 [X:[], M:[1.1892, 0.7568, 0.8108, 1.1351, 0.8649], q:[0.4324, 0.3784], qb:[0.7568, 0.4865], phi:[0.4865]] t^2.27 + t^2.43 + t^2.59 + t^2.76 + t^2.92 + t^3.41 + t^3.57 + t^3.73 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + t^4.54 + t^4.7 + 2*t^4.86 + 2*t^5.03 + 3*t^5.19 + 2*t^5.35 + 2*t^5.51 + t^5.68 + t^5.84 - t^4.46/y - t^4.46*y detail {a: 530091/810448, c: 332811/405224, M1: 44/37, M2: 28/37, M3: 30/37, M4: 42/37, M5: 32/37, q1: 16/37, q2: 14/37, qb1: 28/37, qb2: 18/37, phi1: 18/37}