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 |
---|---|---|---|---|---|---|---|---|---|
1153 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{5}X_{1}$ | 0.6438 | 0.7784 | 0.8271 | [X:[1.3846], M:[1.0769, 1.0769, 1.0769, 0.9231, 0.6154], q:[0.7692, 0.4615], qb:[0.4615, 0.4615], phi:[0.4615]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 2829/4394, c: 6841/8788, X1: 18/13, M1: 14/13, M2: 14/13, M3: 14/13, M4: 12/13, M5: 8/13, q1: 10/13, q2: 6/13, qb1: 6/13, qb2: 6/13, phi1: 6/13} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$ | ${}M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$ | -5 | 2*t^2.769 + 2*t^3.231 + 3*t^3.692 + 6*t^4.154 + 3*t^5.538 - 5*t^6. + 5*t^6.462 + 12*t^6.923 + 4*t^7.385 + 10*t^7.846 + 16*t^8.308 - 12*t^8.769 - t^4.385/y + t^7.154/y - t^7.615/y + t^8.538/y - t^4.385*y + t^7.154*y - t^7.615*y + t^8.538*y | 2*t^2.769 + 2*t^3.231 + 3*t^3.692 + 6*t^4.154 + 3*t^5.538 - 5*t^6. + 5*t^6.462 + 12*t^6.923 + 4*t^7.385 + 10*t^7.846 + 16*t^8.308 - 12*t^8.769 - t^4.385/y + t^7.154/y - t^7.615/y + t^8.538/y - t^4.385*y + t^7.154*y - t^7.615*y + 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 |
---|---|---|---|---|---|---|---|---|
2201 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{4}M_{6}$ | 0.6367 | 0.7666 | 0.8307 | [X:[1.3846], M:[1.0769, 1.0769, 1.0769, 0.9231, 0.6154, 1.0769], q:[0.7692, 0.4615], qb:[0.4615, 0.4615], phi:[0.4615]] | t^2.769 + 3*t^3.231 + 3*t^3.692 + 6*t^4.154 + t^5.538 - 6*t^6. - t^4.385/y - t^4.385*y | detail | {a: 22383/35152, c: 13473/17576, X1: 18/13, M1: 14/13, M2: 14/13, M3: 14/13, M4: 12/13, M5: 8/13, M6: 14/13, q1: 10/13, q2: 6/13, qb1: 6/13, qb2: 6/13, phi1: 6/13} |
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 |
---|---|---|---|---|---|---|---|---|---|
708 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6814 | 0.8416 | 0.8096 | [M:[0.9657, 1.1263, 0.9657, 0.8737, 0.6895], q:[0.7816, 0.4368], qb:[0.5974, 0.4368], phi:[0.4368]] | t^2.069 + 2*t^2.621 + 2*t^2.897 + 2*t^3.655 + 2*t^3.931 + 2*t^4.137 + 2*t^4.413 + 2*t^4.69 + t^4.895 + 2*t^4.966 + 3*t^5.242 + 2*t^5.518 + 2*t^5.724 + 3*t^5.794 - 3*t^6. - t^4.31/y - t^4.31*y | detail |