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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6249 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ | 0.6634 | 0.8509 | 0.7796 | [X:[1.3846], M:[1.0769, 0.7692, 0.6154, 1.2308, 0.7692, 0.7692, 0.9231, 0.7692], q:[0.5385, 0.3846], qb:[0.8462, 0.3846], phi:[0.4615]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 23319/35152, c: 14955/17576, X1: 18/13, M1: 14/13, M2: 10/13, M3: 8/13, M4: 16/13, M5: 10/13, M6: 10/13, M7: 12/13, M8: 10/13, q1: 7/13, q2: 5/13, qb1: 11/13, qb2: 5/13, phi1: 6/13} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{8}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}M_{4}M_{8}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0 | 4*t^2.308 + 3*t^2.769 + 2*t^3.692 + 3*t^4.154 + 9*t^4.615 + 13*t^5.077 + 5*t^5.538 + 13*t^6.462 + 19*t^6.923 + 23*t^7.385 + 20*t^7.846 - 4*t^8.308 + 11*t^8.769 - t^4.385/y - (3*t^6.692)/y - t^7.154/y + (7*t^7.615)/y + (15*t^8.077)/y + (3*t^8.538)/y - t^4.385*y - 3*t^6.692*y - t^7.154*y + 7*t^7.615*y + 15*t^8.077*y + 3*t^8.538*y | 4*t^2.308 + 3*t^2.769 + 2*t^3.692 + 3*t^4.154 + 9*t^4.615 + 13*t^5.077 + 5*t^5.538 + 13*t^6.462 + 19*t^6.923 + 23*t^7.385 + 20*t^7.846 - 4*t^8.308 + 11*t^8.769 - t^4.385/y - (3*t^6.692)/y - t^7.154/y + (7*t^7.615)/y + (15*t^8.077)/y + (3*t^8.538)/y - t^4.385*y - 3*t^6.692*y - t^7.154*y + 7*t^7.615*y + 15*t^8.077*y + 3*t^8.538*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 |
---|---|---|---|---|---|---|---|---|---|
4673 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6887 | 0.8762 | 0.786 | [X:[1.3427], M:[1.1049, 0.6854, 0.6573, 1.1329, 0.8671, 0.8671, 0.8951, 0.6854], q:[0.5524, 0.3427], qb:[0.7902, 0.5244], phi:[0.4476]] | 2*t^2.056 + 2*t^2.601 + 2*t^2.685 + t^3.231 + t^3.399 + 2*t^4.028 + 3*t^4.112 + t^4.489 + t^4.573 + 4*t^4.657 + 5*t^4.741 + 2*t^5.203 + 6*t^5.287 + 3*t^5.371 + t^5.455 + 2*t^5.832 + t^5.916 - 3*t^6. - t^4.343/y - t^4.343*y | detail |