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 |
---|---|---|---|---|---|---|---|---|---|
4053 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ | 0.4822 | 0.6006 | 0.8028 | [X:[1.3684], M:[1.1579, 1.1579, 0.6316, 0.7368, 0.8421, 1.2632, 1.0526], q:[0.7895, 0.1579], qb:[0.6842, 0.6842], phi:[0.4211]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 6615/13718, c: 16479/27436, X1: 26/19, M1: 22/19, M2: 22/19, M3: 12/19, M4: 14/19, M5: 16/19, M6: 24/19, M7: 20/19, q1: 15/19, q2: 3/19, qb1: 13/19, qb2: 13/19, phi1: 8/19} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | -1 | t^2.211 + 2*t^2.526 + t^3.158 + t^3.474 + 2*t^3.789 + t^4.105 + t^4.421 + 2*t^4.737 + 3*t^5.053 + 3*t^5.368 - t^6. + 3*t^6.316 + 2*t^6.632 + 2*t^6.947 + 5*t^7.579 + 6*t^7.895 - 3*t^8.211 + 4*t^8.842 - t^4.263/y + t^7.105/y - t^7.421/y + (2*t^7.737)/y + t^8.053/y + t^8.368/y + (3*t^8.684)/y - t^4.263*y + t^7.105*y - t^7.421*y + 2*t^7.737*y + t^8.053*y + t^8.368*y + 3*t^8.684*y | t^2.211 + 2*t^2.526 + t^3.158 + t^3.474 + 2*t^3.789 + t^4.105 + t^4.421 + 2*t^4.737 + 3*t^5.053 + 3*t^5.368 - t^6. + 3*t^6.316 + 2*t^6.632 + 2*t^6.947 + 5*t^7.579 + 6*t^7.895 - 3*t^8.211 + 4*t^8.842 - t^4.263/y + t^7.105/y - t^7.421/y + (2*t^7.737)/y + t^8.053/y + t^8.368/y + (3*t^8.684)/y - t^4.263*y + t^7.105*y - t^7.421*y + 2*t^7.737*y + t^8.053*y + t^8.368*y + 3*t^8.684*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 |
---|---|---|---|---|---|---|---|---|
5600 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{8}$ | 0.4959 | 0.6242 | 0.7945 | [X:[1.3684], M:[1.1579, 1.1579, 0.6316, 0.7368, 0.8421, 1.2632, 1.0526, 0.8421], q:[0.7895, 0.1579], qb:[0.6842, 0.6842], phi:[0.4211]] | t^2.211 + 3*t^2.526 + t^3.158 + 2*t^3.789 + t^4.105 + t^4.421 + 3*t^4.737 + 6*t^5.053 + 3*t^5.368 - 3*t^6. - t^4.263/y - t^4.263*y | detail | {a: 54423/109744, c: 34251/54872, X1: 26/19, M1: 22/19, M2: 22/19, M3: 12/19, M4: 14/19, M5: 16/19, M6: 24/19, M7: 20/19, M8: 16/19, q1: 15/19, q2: 3/19, qb1: 13/19, qb2: 13/19, phi1: 8/19} |
5601 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}M_{8}$ | 0.5018 | 0.6366 | 0.7882 | [X:[1.3684], M:[1.1579, 1.1579, 0.6316, 0.7368, 0.8421, 1.2632, 1.0526, 0.7368], q:[0.7895, 0.1579], qb:[0.6842, 0.6842], phi:[0.4211]] | 2*t^2.211 + 2*t^2.526 + t^3.158 + t^3.474 + t^3.789 + t^4.105 + 3*t^4.421 + 4*t^4.737 + 3*t^5.053 + 4*t^5.368 + t^5.684 - t^6. - t^4.263/y - t^4.263*y | detail | {a: 55065/109744, c: 34933/54872, X1: 26/19, M1: 22/19, M2: 22/19, M3: 12/19, M4: 14/19, M5: 16/19, M6: 24/19, M7: 20/19, M8: 14/19, q1: 15/19, q2: 3/19, qb1: 13/19, qb2: 13/19, phi1: 8/19} |
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 |
---|---|---|---|---|---|---|---|---|---|
1655 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}q_{1}q_{2}$ | 0.5253 | 0.6558 | 0.801 | [X:[1.4264], M:[0.8681, 1.2352, 0.5736, 0.8528, 0.7648, 1.1472, 0.956], q:[0.8088, 0.2352], qb:[0.8967, 0.5297], phi:[0.3824]] | 2*t^2.294 + t^2.558 + t^2.604 + t^2.868 + t^3.442 + t^4.279 + t^4.325 + t^4.543 + 3*t^4.589 + 2*t^4.853 + t^4.899 + t^5.117 + 2*t^5.163 + t^5.209 + t^5.426 + t^5.472 + 2*t^5.736 - 2*t^6. - t^4.147/y - t^4.147*y | detail |