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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
55519 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_5\phi_1q_1^2$ + $ M_2M_5$ + $ M_3X_1$ + $ q_1^2\tilde{q}_2^2$ 0.5832 0.7192 0.8109 [X:[1.5294], M:[1.1765, 0.9412, 0.4706, 0.7059, 1.0588], q:[0.2647, 0.5588], qb:[0.7941, 0.7353], phi:[0.4118]] [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] 0 {a: 45843/78608, c: 7067/9826, X1: 26/17, M1: 20/17, M2: 16/17, M3: 8/17, M4: 12/17, M5: 18/17, q1: 9/34, q2: 19/34, qb1: 27/34, qb2: 25/34, phi1: 7/17}
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_4$, $ \phi_1^2$, $ M_2$, $ q_1\tilde{q}_2$, $ M_5$, $ M_1$, $ \phi_1q_1q_2$, $ q_2\tilde{q}_1$, $ M_4^2$, $ \phi_1q_1\tilde{q}_2$, $ M_4\phi_1^2$, $ \phi_1q_2^2$, $ X_1$, $ M_2M_4$, $ \phi_1^4$, $ M_4q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_5$, $ M_2\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2^2$, $ M_1M_4$, $ M_5\phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_4\phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$ . 0 t^2.12 + t^2.47 + t^2.82 + t^3. + t^3.18 + t^3.53 + t^3.71 + t^4.06 + 2*t^4.24 + 2*t^4.59 + 2*t^4.94 + t^5.12 + 2*t^5.29 + 3*t^5.65 + t^5.82 + 2*t^6.18 + 2*t^6.35 + t^6.53 + 2*t^6.71 + 4*t^7.06 + t^7.24 + 3*t^7.41 + t^7.59 + 4*t^7.76 + 2*t^8.12 + 2*t^8.29 + 2*t^8.47 + 3*t^8.65 - t^4.24/y - t^6.35/y + t^7.59/y + t^7.94/y + (2*t^8.12)/y + (2*t^8.29)/y + (2*t^8.65)/y + (2*t^8.82)/y - t^4.24*y - t^6.35*y + t^7.59*y + t^7.94*y + 2*t^8.12*y + 2*t^8.29*y + 2*t^8.65*y + 2*t^8.82*y t^2.12 + t^2.47 + t^2.82 + t^3. + t^3.18 + t^3.53 + t^3.71 + t^4.06 + 2*t^4.24 + 2*t^4.59 + 2*t^4.94 + t^5.12 + 2*t^5.29 + 3*t^5.65 + t^5.82 + 2*t^6.18 + 2*t^6.35 + t^6.53 + 2*t^6.71 + 4*t^7.06 + t^7.24 + 3*t^7.41 + t^7.59 + 4*t^7.76 + 2*t^8.12 + 2*t^8.29 + 2*t^8.47 + 3*t^8.65 - t^4.24/y - t^6.35/y + t^7.59/y + t^7.94/y + (2*t^8.12)/y + (2*t^8.29)/y + (2*t^8.65)/y + (2*t^8.82)/y - t^4.24*y - t^6.35*y + t^7.59*y + t^7.94*y + 2*t^8.12*y + 2*t^8.29*y + 2*t^8.65*y + 2*t^8.82*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
57099 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_5\phi_1q_1^2$ + $ M_2M_5$ + $ M_3X_1$ + $ q_1^2\tilde{q}_2^2$ + $ M_2M_6$ 0.5777 0.7101 0.8136 [X:[1.5294], M:[1.1765, 0.9412, 0.4706, 0.7059, 1.0588, 1.0588], q:[0.2647, 0.5588], qb:[0.7941, 0.7353], phi:[0.4118]] t^2.12 + t^2.47 + t^3. + 2*t^3.18 + t^3.53 + t^3.71 + t^4.06 + 2*t^4.24 + 2*t^4.59 + t^4.94 + t^5.12 + 2*t^5.29 + 3*t^5.65 - t^6. - t^4.24/y - t^4.24*y detail {a: 22707/39304, c: 27909/39304, X1: 26/17, M1: 20/17, M2: 16/17, M3: 8/17, M4: 12/17, M5: 18/17, M6: 18/17, q1: 9/34, q2: 19/34, qb1: 27/34, qb2: 25/34, phi1: 7/17}
57098 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_5\phi_1q_1^2$ + $ M_2M_5$ + $ M_3X_1$ + $ q_1^2\tilde{q}_2^2$ + $ M_4M_6$ 0.5628 0.6804 0.8271 [X:[1.5294], M:[1.1765, 0.9412, 0.4706, 0.7059, 1.0588, 1.2941], q:[0.2647, 0.5588], qb:[0.7941, 0.7353], phi:[0.4118]] t^2.47 + t^2.82 + t^3. + t^3.18 + t^3.53 + t^3.71 + t^3.88 + t^4.06 + t^4.24 + t^4.59 + t^4.94 + t^5.29 + 2*t^5.65 - t^4.24/y - t^4.24*y detail {a: 22119/39304, c: 26743/39304, X1: 26/17, M1: 20/17, M2: 16/17, M3: 8/17, M4: 12/17, M5: 18/17, M6: 22/17, q1: 9/34, q2: 19/34, qb1: 27/34, qb2: 25/34, phi1: 7/17}
57100 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_5\phi_1q_1^2$ + $ M_2M_5$ + $ M_3X_1$ + $ q_1^2\tilde{q}_2^2$ + $ M_5M_6$ 0.5886 0.7283 0.8082 [X:[1.5294], M:[1.1765, 0.9412, 0.4706, 0.7059, 1.0588, 0.9412], q:[0.2647, 0.5588], qb:[0.7941, 0.7353], phi:[0.4118]] t^2.12 + t^2.47 + 2*t^2.82 + t^3. + t^3.53 + t^3.71 + t^4.06 + 2*t^4.24 + 2*t^4.59 + 3*t^4.94 + t^5.12 + 2*t^5.29 + 4*t^5.65 + 2*t^5.82 - t^6. - t^4.24/y - t^4.24*y detail {a: 2892/4913, c: 28627/39304, X1: 26/17, M1: 20/17, M2: 16/17, M3: 8/17, M4: 12/17, M5: 18/17, M6: 16/17, q1: 9/34, q2: 19/34, qb1: 27/34, qb2: 25/34, phi1: 7/17}
57101 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_5\phi_1q_1^2$ + $ M_2M_5$ + $ M_3X_1$ + $ q_1^2\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ 0.6016 0.7523 0.7996 [X:[1.5294], M:[1.1765, 0.9412, 0.4706, 0.7059, 1.0588, 0.7647], q:[0.2647, 0.5588], qb:[0.7941, 0.7353], phi:[0.4118]] t^2.12 + t^2.29 + t^2.47 + t^2.82 + t^3. + t^3.18 + t^3.53 + t^4.06 + 2*t^4.24 + t^4.41 + 3*t^4.59 + t^4.76 + 2*t^4.94 + 2*t^5.12 + 3*t^5.29 + t^5.47 + 3*t^5.65 + t^5.82 - t^4.24/y - t^4.24*y detail {a: 47289/78608, c: 29569/39304, X1: 26/17, M1: 20/17, M2: 16/17, M3: 8/17, M4: 12/17, M5: 18/17, M6: 13/17, q1: 9/34, q2: 19/34, qb1: 27/34, qb2: 25/34, phi1: 7/17}


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
47113 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_5\phi_1q_1^2$ + $ M_2M_5$ + $ M_3X_1$ 0.6011 0.7433 0.8087 [X:[1.3686], M:[1.1229, 0.959, 0.6314, 0.7952, 1.041], q:[0.2602, 0.6169], qb:[0.7807, 0.5879], phi:[0.4386]] t^2.39 + t^2.54 + t^2.63 + t^2.88 + t^3.12 + t^3.37 + t^3.86 + t^3.95 + t^4.11 + t^4.19 + t^4.77 + t^4.84 + t^4.93 + t^5.02 + t^5.09 + t^5.18 + 2*t^5.26 + t^5.42 + 2*t^5.51 + t^5.67 + 2*t^5.75 - t^6. - t^4.32/y - t^4.32*y detail