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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1082 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{4}q_{1}q_{2}$ | 0.4857 | 0.5994 | 0.8104 | [X:[1.4545], M:[0.7273, 1.2727, 0.5455, 0.9091, 1.0909], q:[0.8182, 0.2727], qb:[1.0, 0.4545], phi:[0.3636]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1293/2662, c: 3191/5324, X1: 16/11, M1: 8/11, M2: 14/11, M3: 6/11, M4: 10/11, M5: 12/11, q1: 9/11, q2: 3/11, qb1: 1, qb2: 5/11, phi1: 4/11} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{1}q_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }X_{1}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}M_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ | 3 | 2*t^2.182 + t^2.727 + 2*t^3.273 + 2*t^3.818 + 3*t^4.364 + 2*t^4.909 + 3*t^5.455 + 3*t^6. + 4*t^6.545 + 3*t^7.091 + 4*t^7.636 + t^8.182 + t^8.727 - t^4.091/y - t^6.273/y + t^7.364/y + (3*t^7.909)/y + (3*t^8.455)/y - t^4.091*y - t^6.273*y + t^7.364*y + 3*t^7.909*y + 3*t^8.455*y | 2*t^2.182 + t^2.727 + 2*t^3.273 + 2*t^3.818 + 3*t^4.364 + 2*t^4.909 + 3*t^5.455 + 3*t^6. + 4*t^6.545 + 3*t^7.091 + 4*t^7.636 + t^8.182 + t^8.727 - t^4.091/y - t^6.273/y + t^7.364/y + (3*t^7.909)/y + (3*t^8.455)/y - t^4.091*y - t^6.273*y + t^7.364*y + 3*t^7.909*y + 3*t^8.455*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 |
---|---|---|---|---|---|---|---|---|
1683 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{1}M_{6}$ | 0.4659 | 0.5625 | 0.8283 | [X:[1.4545], M:[0.7273, 1.2727, 0.5455, 0.9091, 1.0909, 1.2727], q:[0.8182, 0.2727], qb:[1.0, 0.4545], phi:[0.3636]] | t^2.182 + t^2.727 + 2*t^3.273 + 3*t^3.818 + t^4.364 + t^4.909 + t^5.455 + 2*t^6. - t^4.091/y - t^4.091*y | detail | {a: 9921/21296, c: 5989/10648, X1: 16/11, M1: 8/11, M2: 14/11, M3: 6/11, M4: 10/11, M5: 12/11, M6: 14/11, q1: 9/11, q2: 3/11, qb1: 1, qb2: 5/11, phi1: 4/11} |
1684 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{5}M_{6}$ | 0.494 | 0.6134 | 0.8055 | [X:[1.4545], M:[0.7273, 1.2727, 0.5455, 0.9091, 1.0909, 0.9091], q:[0.8182, 0.2727], qb:[1.0, 0.4545], phi:[0.3636]] | 2*t^2.182 + 2*t^2.727 + t^3.273 + 2*t^3.818 + 3*t^4.364 + 4*t^4.909 + 3*t^5.455 + 3*t^6. - t^4.091/y - t^4.091*y | detail | {a: 10521/21296, c: 6531/10648, X1: 16/11, M1: 8/11, M2: 14/11, M3: 6/11, M4: 10/11, M5: 12/11, M6: 10/11, q1: 9/11, q2: 3/11, qb1: 1, qb2: 5/11, phi1: 4/11} |
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 |
---|---|---|---|---|---|---|---|---|---|
675 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}X_{1}$ | 0.5037 | 0.6166 | 0.8169 | [X:[1.4182], M:[0.9089, 1.2243, 0.5818, 0.8364, 1.1636], q:[0.8061, 0.2243], qb:[0.8668, 0.5514], phi:[0.3879]] | t^2.327 + t^2.509 + t^2.727 + t^3.091 + t^3.491 + t^3.673 + t^4.255 + t^4.437 + t^4.472 + t^4.654 + t^4.836 + t^5.019 + t^5.418 + t^5.454 + t^5.6 + t^5.818 - t^6. - t^4.164/y - t^4.164*y | detail |