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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6264 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{8}$ | 0.6606 | 0.8336 | 0.7924 | [X:[1.3077], M:[1.1538, 0.6923, 1.0, 0.8462, 1.1538, 0.6923, 0.8462, 0.8462], q:[0.5, 0.3462], qb:[0.5, 0.8077], phi:[0.4615]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 5805/8788, c: 3663/4394, X1: 17/13, M1: 15/13, M2: 9/13, M3: 1, M4: 11/13, M5: 15/13, M6: 9/13, M7: 11/13, M8: 11/13, q1: 1/2, q2: 9/26, qb1: 1/2, qb2: 21/26, phi1: 6/13} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$ | ${}M_{5}M_{7}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}X_{1}$ | 0 | t^2.077 + 3*t^2.538 + t^2.769 + t^3. + t^3.462 + 3*t^3.923 + t^4.154 + 3*t^4.385 + 2*t^4.615 + 2*t^4.846 + 5*t^5.077 + 5*t^5.308 + 3*t^5.538 + t^5.769 + 3*t^6.231 + 7*t^6.462 + 4*t^6.692 + 9*t^6.923 + 4*t^7.154 + 5*t^7.385 + 5*t^7.615 + 11*t^7.846 + 3*t^8.077 + 11*t^8.308 - 8*t^8.538 + 9*t^8.769 - t^4.385/y - t^6.462/y - t^6.923/y - t^7.154/y + (4*t^7.615)/y + (2*t^7.846)/y + (4*t^8.077)/y + (4*t^8.308)/y + (3*t^8.538)/y + t^8.769/y - t^4.385*y - t^6.462*y - t^6.923*y - t^7.154*y + 4*t^7.615*y + 2*t^7.846*y + 4*t^8.077*y + 4*t^8.308*y + 3*t^8.538*y + t^8.769*y | t^2.077 + 3*t^2.538 + t^2.769 + t^3. + t^3.462 + 3*t^3.923 + t^4.154 + 3*t^4.385 + 2*t^4.615 + 2*t^4.846 + 5*t^5.077 + 5*t^5.308 + 3*t^5.538 + t^5.769 + 3*t^6.231 + 7*t^6.462 + 4*t^6.692 + 9*t^6.923 + 4*t^7.154 + 5*t^7.385 + 5*t^7.615 + 11*t^7.846 + 3*t^8.077 + 11*t^8.308 - 8*t^8.538 + 9*t^8.769 - t^4.385/y - t^6.462/y - t^6.923/y - t^7.154/y + (4*t^7.615)/y + (2*t^7.846)/y + (4*t^8.077)/y + (4*t^8.308)/y + (3*t^8.538)/y + t^8.769/y - t^4.385*y - t^6.462*y - t^6.923*y - t^7.154*y + 4*t^7.615*y + 2*t^7.846*y + 4*t^8.077*y + 4*t^8.308*y + 3*t^8.538*y + t^8.769*y |
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 |
---|---|---|---|---|---|---|---|---|---|
4703 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}^{2}$ | 0.674 | 0.8465 | 0.7962 | [X:[1.2808], M:[1.1987, 0.7192, 1.0, 0.9179, 1.0821, 0.8358, 0.8013, 0.8013], q:[0.4417, 0.3596], qb:[0.5583, 0.7225], phi:[0.4795]] | 2*t^2.404 + t^2.507 + t^2.754 + t^2.877 + t^3. + t^3.246 + 2*t^3.842 + t^4.089 + t^4.192 + t^4.438 + t^4.685 + t^4.788 + 3*t^4.808 + t^4.911 + t^4.931 + t^5.015 + t^5.158 + t^5.261 + 3*t^5.281 + t^5.384 + t^5.404 + t^5.507 + t^5.631 + t^5.65 + 2*t^5.754 + t^5.773 + t^5.877 - 2*t^6. - t^4.438/y - t^4.438*y | detail |