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 |
---|---|---|---|---|---|---|---|---|---|
3095 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ | 0.6069 | 0.755 | 0.8039 | [X:[1.4737], M:[0.5263, 1.1579, 0.7368, 1.0526, 0.8421, 0.9474], q:[0.7895, 0.6842], qb:[0.5789, 0.2632], phi:[0.4211]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 66609/109744, c: 41427/54872, X1: 28/19, M1: 10/19, M2: 22/19, M3: 14/19, M4: 20/19, M5: 16/19, M6: 18/19, q1: 15/19, q2: 13/19, qb1: 11/19, qb2: 5/19, phi1: 8/19} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.211 + 2*t^2.526 + 2*t^2.842 + t^3.158 + t^3.789 + 2*t^4.105 + 2*t^4.421 + 2*t^4.737 + 5*t^5.053 + 6*t^5.368 + 3*t^5.684 - t^6. + t^6.316 + 5*t^6.632 + 4*t^6.947 + 4*t^7.263 + 7*t^7.579 + 10*t^7.895 + 6*t^8.211 - t^8.526 - 3*t^8.842 - t^4.263/y - t^6.474/y - t^6.789/y + (3*t^7.737)/y + (4*t^8.053)/y + (5*t^8.368)/y + (2*t^8.684)/y - t^4.263*y - t^6.474*y - t^6.789*y + 3*t^7.737*y + 4*t^8.053*y + 5*t^8.368*y + 2*t^8.684*y | t^2.211 + 2*t^2.526 + 2*t^2.842 + t^3.158 + t^3.789 + 2*t^4.105 + 2*t^4.421 + 2*t^4.737 + 5*t^5.053 + 6*t^5.368 + 3*t^5.684 - t^6. + t^6.316 + 5*t^6.632 + 4*t^6.947 + 4*t^7.263 + 7*t^7.579 + 10*t^7.895 + 6*t^8.211 - t^8.526 - 3*t^8.842 - t^4.263/y - t^6.474/y - t^6.789/y + (3*t^7.737)/y + (4*t^8.053)/y + (5*t^8.368)/y + (2*t^8.684)/y - t^4.263*y - t^6.474*y - t^6.789*y + 3*t^7.737*y + 4*t^8.053*y + 5*t^8.368*y + 2*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 |
---|---|---|---|---|---|---|---|---|
4954 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{7}$ | 0.5874 | 0.719 | 0.817 | [X:[1.4737], M:[0.5263, 1.1579, 0.7368, 1.0526, 0.8421, 0.9474, 1.2632], q:[0.7895, 0.6842], qb:[0.5789, 0.2632], phi:[0.4211]] | 2*t^2.526 + 2*t^2.842 + t^3.158 + 2*t^3.789 + 2*t^4.105 + t^4.421 + 3*t^5.053 + 5*t^5.368 + 3*t^5.684 - 2*t^6. - t^4.263/y - t^4.263*y | detail | {a: 4029/6859, c: 9863/13718, X1: 28/19, M1: 10/19, M2: 22/19, M3: 14/19, M4: 20/19, M5: 16/19, M6: 18/19, M7: 24/19, q1: 15/19, q2: 13/19, qb1: 11/19, qb2: 5/19, phi1: 8/19} |
4955 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{4}M_{7}$ | 0.6118 | 0.7632 | 0.8017 | [X:[1.4737], M:[0.5263, 1.1579, 0.7368, 1.0526, 0.8421, 0.9474, 0.9474], q:[0.7895, 0.6842], qb:[0.5789, 0.2632], phi:[0.4211]] | t^2.211 + 2*t^2.526 + 3*t^2.842 + t^3.789 + 2*t^4.105 + 2*t^4.421 + 2*t^4.737 + 6*t^5.053 + 7*t^5.368 + 4*t^5.684 - 3*t^6. - t^4.263/y - t^4.263*y | detail | {a: 93/152, c: 29/38, X1: 28/19, M1: 10/19, M2: 22/19, M3: 14/19, M4: 20/19, M5: 16/19, M6: 18/19, M7: 18/19, q1: 15/19, q2: 13/19, qb1: 11/19, qb2: 5/19, 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 |
---|---|---|---|---|---|---|---|---|---|
2030 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6489 | 0.8087 | 0.8024 | [X:[1.5766], M:[0.4234, 1.1922, 0.7883, 0.8467, 0.8078, 0.8273], q:[0.7981, 0.7786], qb:[0.4331, 0.3747], phi:[0.4039]] | t^2.365 + 2*t^2.423 + t^2.482 + t^2.54 + t^3.46 + t^3.635 + t^3.693 + t^3.81 + t^4.671 + 2*t^4.73 + t^4.788 + 5*t^4.847 + 3*t^4.905 + 2*t^4.964 + t^5.022 + t^5.08 + 3*t^5.883 - 2*t^6. - t^4.212/y - t^4.212*y | detail |