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.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
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9068 | Sp2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}\phi_{1}^{4}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}^{2}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}^{2}$ | 1.1109 | 1.2493 | 0.8892 | [X:[1.5714], M:[1.0, 1.1429, 0.8571, 0.8571, 1.0714, 1.2857], q:[0.3929, 0.3214], qb:[], phi:[0.2143]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 13935/12544, c: 15671/12544, X1: 11/7, M1: 1, M2: 8/7, M3: 6/7, M4: 6/7, M5: 15/14, M6: 9/7, q1: 11/28, q2: 9/28, phi1: 3/14} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}q_{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{4}$, ${ }M_{4}\phi_{1}^{4}$, ${ }\phi_{1}^{8}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{4}$ | ${}$ | -1 | 3*t^2.57 + t^3. + t^3.21 + 2*t^3.86 + t^4.07 + t^4.29 + t^4.71 + 6*t^5.14 + 3*t^5.57 + 2*t^5.79 - t^6. + 6*t^6.43 + 2*t^6.64 + 3*t^6.86 + 2*t^7.07 + 3*t^7.29 - t^7.5 + 12*t^7.71 + 2*t^7.93 + 6*t^8.14 + 4*t^8.36 - t^8.79 + t^8.57/y^2 - t^3.64/y - t^4.93/y - (3*t^6.21)/y - t^6.64/y - t^6.86/y + t^7.07/y - (4*t^7.5)/y - t^7.93/y + (2*t^8.14)/y + t^8.36/y + (3*t^8.57)/y - (4*t^8.79)/y - t^3.64*y - t^4.93*y - 3*t^6.21*y - t^6.64*y - t^6.86*y + t^7.07*y - 4*t^7.5*y - t^7.93*y + 2*t^8.14*y + t^8.36*y + 3*t^8.57*y - 4*t^8.79*y + t^8.57*y^2 | 3*t^2.57 + t^3. + t^3.21 + 2*t^3.86 + t^4.07 + t^4.29 + t^4.71 + 6*t^5.14 + 3*t^5.57 + 2*t^5.79 - t^6. + 6*t^6.43 + 2*t^6.64 + 3*t^6.86 + 2*t^7.07 + 3*t^7.29 - t^7.5 + 12*t^7.71 + 2*t^7.93 + 6*t^8.14 + 4*t^8.36 - t^8.79 + t^8.57/y^2 - t^3.64/y - t^4.93/y - (3*t^6.21)/y - t^6.64/y - t^6.86/y + t^7.07/y - (4*t^7.5)/y - t^7.93/y + (2*t^8.14)/y + t^8.36/y + (3*t^8.57)/y - (4*t^8.79)/y - t^3.64*y - t^4.93*y - 3*t^6.21*y - t^6.64*y - t^6.86*y + t^7.07*y - 4*t^7.5*y - t^7.93*y + 2*t^8.14*y + t^8.36*y + 3*t^8.57*y - 4*t^8.79*y + t^8.57*y^2 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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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 |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
8953 | Sp2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}\phi_{1}^{4}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}^{2}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{6}q_{1}q_{2}$ | 1.13 | 1.2784 | 0.8839 | [X:[1.596], M:[0.8281, 1.192, 0.808, 0.808, 1.01, 1.2121], q:[0.4849, 0.303], qb:[], phi:[0.202]] | 3*t^2.42 + t^2.48 + t^3.03 + 2*t^3.64 + t^4.18 + t^4.73 + t^4.79 + 6*t^4.85 + 3*t^4.91 + t^4.97 + 2*t^5.45 + t^5.51 - 2*t^6. - t^3.61/y - t^4.82/y - t^3.61*y - t^4.82*y | detail |