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 |
---|---|---|---|---|---|---|---|---|---|
4050 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}M_{7}$ + ${ }M_{1}M_{5}$ | 0.5067 | 0.6448 | 0.7857 | [X:[1.3684], M:[1.1579, 1.1579, 0.6316, 0.7368, 0.8421, 1.2632, 0.7368], 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: 27801/54872, c: 17691/27436, X1: 26/19, M1: 22/19, M2: 22/19, M3: 12/19, M4: 14/19, M5: 16/19, M6: 24/19, M7: 14/19, 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 |
---|---|---|---|---|
${}M_{4}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{7}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | -1 | 2*t^2.211 + 2*t^2.526 + t^2.842 + t^3.474 + t^3.789 + t^4.105 + 3*t^4.421 + 4*t^4.737 + 5*t^5.053 + 4*t^5.368 - t^6. + 2*t^6.316 + 5*t^6.632 + 5*t^6.947 + 4*t^7.263 + 8*t^7.579 + 7*t^7.895 - 4*t^8.211 - 4*t^8.526 + 4*t^8.842 - t^4.263/y - t^6.474/y + t^7.421/y + (4*t^7.737)/y + (4*t^8.053)/y + (2*t^8.368)/y + t^8.684/y - t^4.263*y - t^6.474*y + t^7.421*y + 4*t^7.737*y + 4*t^8.053*y + 2*t^8.368*y + t^8.684*y | 2*t^2.211 + 2*t^2.526 + t^2.842 + t^3.474 + t^3.789 + t^4.105 + 3*t^4.421 + 4*t^4.737 + 5*t^5.053 + 4*t^5.368 - t^6. + 2*t^6.316 + 5*t^6.632 + 5*t^6.947 + 4*t^7.263 + 8*t^7.579 + 7*t^7.895 - 4*t^8.211 - 4*t^8.526 + 4*t^8.842 - t^4.263/y - t^6.474/y + t^7.421/y + (4*t^7.737)/y + (4*t^8.053)/y + (2*t^8.368)/y + t^8.684/y - t^4.263*y - t^6.474*y + t^7.421*y + 4*t^7.737*y + 4*t^8.053*y + 2*t^8.368*y + 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 |
---|---|---|---|---|---|---|---|---|
5605 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}M_{7}$ + ${ }M_{1}M_{5}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.5262 | 0.6808 | 0.7729 | [X:[1.3684], M:[1.1579, 1.1579, 0.6316, 0.7368, 0.8421, 1.2632, 0.7368, 0.7368], q:[0.7895, 0.1579], qb:[0.6842, 0.6842], phi:[0.4211]] | 3*t^2.211 + 2*t^2.526 + t^2.842 + t^3.474 + t^4.105 + 6*t^4.421 + 6*t^4.737 + 6*t^5.053 + 4*t^5.368 + t^5.684 - 3*t^6. - t^4.263/y - t^4.263*y | detail | {a: 57747/109744, c: 37357/54872, X1: 26/19, M1: 22/19, M2: 22/19, M3: 12/19, M4: 14/19, M5: 16/19, M6: 24/19, M7: 14/19, 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 |
---|---|---|---|---|---|---|---|---|---|
1652 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}M_{7}$ | 0.5358 | 0.673 | 0.7962 | [X:[1.4155], M:[0.9223, 1.2207, 0.5845, 0.8311, 0.7793, 1.1689, 0.8311], q:[0.8052, 0.2207], qb:[0.857, 0.5585], phi:[0.3896]] | 2*t^2.338 + 2*t^2.493 + t^2.767 + t^3.078 + t^4.247 + t^4.402 + t^4.52 + 3*t^4.676 + 4*t^4.831 + 3*t^4.987 + t^5.105 + t^5.26 + 2*t^5.416 + t^5.534 + 2*t^5.571 - 3*t^6. - t^4.169/y - t^4.169*y | detail |