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 |
---|---|---|---|---|---|---|---|---|---|
1143 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{5}$ | 0.5884 | 0.7232 | 0.8135 | [M:[0.7368, 1.1579, 1.0526, 0.9474, 1.0526], q:[0.7895, 0.5789], qb:[0.6842, 0.2632], phi:[0.4211]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 64569/109744, c: 39685/54872, M1: 14/19, M2: 22/19, M3: 20/19, M4: 18/19, M5: 20/19, q1: 15/19, q2: 11/19, qb1: 13/19, qb2: 5/19, phi1: 8/19} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | 0 | t^2.211 + t^2.526 + t^2.842 + 2*t^3.158 + t^3.474 + t^3.789 + 2*t^4.105 + 2*t^4.421 + t^4.737 + 2*t^5.053 + 4*t^5.368 + 2*t^5.684 + 3*t^6.316 + 4*t^6.632 + 2*t^6.947 + 3*t^7.263 + 5*t^7.579 + 4*t^7.895 + 2*t^8.211 + 4*t^8.526 + 2*t^8.842 - t^4.263/y - t^6.474/y + t^7.105/y - t^7.421/y + t^7.737/y + (2*t^8.053)/y + (3*t^8.368)/y + (2*t^8.684)/y - t^4.263*y - t^6.474*y + t^7.105*y - t^7.421*y + t^7.737*y + 2*t^8.053*y + 3*t^8.368*y + 2*t^8.684*y | t^2.211 + t^2.526 + t^2.842 + 2*t^3.158 + t^3.474 + t^3.789 + 2*t^4.105 + 2*t^4.421 + t^4.737 + 2*t^5.053 + 4*t^5.368 + 2*t^5.684 + 3*t^6.316 + 4*t^6.632 + 2*t^6.947 + 3*t^7.263 + 5*t^7.579 + 4*t^7.895 + 2*t^8.211 + 4*t^8.526 + 2*t^8.842 - t^4.263/y - t^6.474/y + t^7.105/y - t^7.421/y + t^7.737/y + (2*t^8.053)/y + (3*t^8.368)/y + (2*t^8.684)/y - t^4.263*y - t^6.474*y + t^7.105*y - t^7.421*y + t^7.737*y + 2*t^8.053*y + 3*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 |
---|---|---|---|---|---|---|---|---|
2197 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{6}$ | 0.5688 | 0.6872 | 0.8277 | [M:[0.7368, 1.1579, 1.0526, 0.9474, 1.0526, 1.2632], q:[0.7895, 0.5789], qb:[0.6842, 0.2632], phi:[0.4211]] | t^2.526 + t^2.842 + 2*t^3.158 + t^3.474 + 2*t^3.789 + 2*t^4.105 + t^4.421 + t^5.053 + 2*t^5.368 + t^5.684 - t^6. - t^4.263/y - t^4.263*y | detail | {a: 7803/13718, c: 18855/27436, M1: 14/19, M2: 22/19, M3: 20/19, M4: 18/19, M5: 20/19, M6: 24/19, q1: 15/19, q2: 11/19, qb1: 13/19, qb2: 5/19, phi1: 8/19} |
2202 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{6}$ | 0.6021 | 0.7468 | 0.8062 | [M:[0.7368, 1.1579, 1.0526, 0.9474, 1.0526, 0.8421], q:[0.7895, 0.5789], qb:[0.6842, 0.2632], phi:[0.4211]] | t^2.211 + 2*t^2.526 + t^2.842 + 2*t^3.158 + t^3.789 + 2*t^4.105 + 2*t^4.421 + 2*t^4.737 + 4*t^5.053 + 5*t^5.368 + 3*t^5.684 - t^6. - t^4.263/y - t^4.263*y | detail | {a: 8259/13718, c: 20489/27436, M1: 14/19, M2: 22/19, M3: 20/19, M4: 18/19, M5: 20/19, M6: 16/19, q1: 15/19, q2: 11/19, qb1: 13/19, qb2: 5/19, phi1: 8/19} |
2200 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}M_{6}$ | 0.5933 | 0.7314 | 0.8111 | [M:[0.7368, 1.1579, 1.0526, 0.9474, 1.0526, 0.9474], q:[0.7895, 0.5789], qb:[0.6842, 0.2632], phi:[0.4211]] | t^2.211 + t^2.526 + 2*t^2.842 + t^3.158 + t^3.474 + t^3.789 + 2*t^4.105 + 2*t^4.421 + t^4.737 + 3*t^5.053 + 4*t^5.368 + 3*t^5.684 - t^4.263/y - t^4.263*y | detail | {a: 32553/54872, c: 20067/27436, M1: 14/19, M2: 22/19, M3: 20/19, M4: 18/19, M5: 20/19, M6: 18/19, q1: 15/19, q2: 11/19, qb1: 13/19, qb2: 5/19, phi1: 8/19} |
2198 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{4}M_{6}$ | 0.5835 | 0.715 | 0.816 | [M:[0.7368, 1.1579, 1.0526, 0.9474, 1.0526, 1.0526], q:[0.7895, 0.5789], qb:[0.6842, 0.2632], phi:[0.4211]] | t^2.211 + t^2.526 + 3*t^3.158 + t^3.474 + t^3.789 + 2*t^4.105 + 2*t^4.421 + t^4.737 + t^5.053 + 4*t^5.368 + 2*t^5.684 - 2*t^6. - t^4.263/y - t^4.263*y | detail | {a: 4002/6859, c: 9809/13718, M1: 14/19, M2: 22/19, M3: 20/19, M4: 18/19, M5: 20/19, M6: 20/19, q1: 15/19, q2: 11/19, qb1: 13/19, 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 |
---|---|---|---|---|---|---|---|---|---|
703 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6584 | 0.8119 | 0.8109 | [M:[0.9956, 1.0783, 1.1521, 0.8479, 0.774], q:[0.7696, 0.5391], qb:[0.4653, 0.3826], phi:[0.4609]] | t^2.322 + t^2.544 + t^2.765 + t^2.987 + t^3.235 + t^3.456 + t^3.705 + 2*t^3.926 + t^4.148 + t^4.174 + t^4.396 + t^4.617 + t^4.644 + t^4.866 + 2*t^5.087 + 2*t^5.309 + t^5.53 + t^5.557 + t^5.778 + t^5.973 - t^6. - t^4.383/y - t^4.383*y | detail |