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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4364 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 0.6628 | 0.8404 | 0.7886 | [M:[0.6842, 1.0526, 1.2105, 1.1053, 0.7895, 0.8947, 0.7895], q:[0.5526, 0.7632], qb:[0.3421, 0.4474], phi:[0.4737]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 36369/54872, c: 11529/13718, M1: 13/19, M2: 20/19, M3: 23/19, M4: 21/19, M5: 15/19, M6: 17/19, M7: 15/19, q1: 21/38, q2: 29/38, qb1: 13/38, qb2: 17/38, phi1: 9/19} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{4}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.053 + 2*t^2.368 + t^2.684 + t^3. + t^3.158 + t^3.316 + t^3.474 + t^3.789 + 3*t^4.105 + 3*t^4.421 + 5*t^4.737 + 3*t^5.053 + t^5.211 + 3*t^5.368 + 3*t^5.526 + t^5.684 + 4*t^5.842 - t^6. + 6*t^6.158 - t^6.316 + 8*t^6.474 - t^6.632 + 8*t^6.789 + 9*t^7.105 + t^7.263 + 6*t^7.421 + 5*t^7.579 + 2*t^7.737 + 8*t^7.895 - 2*t^8.053 + 13*t^8.211 - 6*t^8.368 + 14*t^8.526 - 6*t^8.684 + 16*t^8.842 - t^4.421/y - t^6.474/y - t^6.789/y + (2*t^7.421)/y + (2*t^7.737)/y + (4*t^8.053)/y + t^8.211/y + (4*t^8.368)/y + (2*t^8.526)/y + (3*t^8.684)/y + (3*t^8.842)/y - t^4.421*y - t^6.474*y - t^6.789*y + 2*t^7.421*y + 2*t^7.737*y + 4*t^8.053*y + t^8.211*y + 4*t^8.368*y + 2*t^8.526*y + 3*t^8.684*y + 3*t^8.842*y | t^2.053 + 2*t^2.368 + t^2.684 + t^3. + t^3.158 + t^3.316 + t^3.474 + t^3.789 + 3*t^4.105 + 3*t^4.421 + 5*t^4.737 + 3*t^5.053 + t^5.211 + 3*t^5.368 + 3*t^5.526 + t^5.684 + 4*t^5.842 - t^6. + 6*t^6.158 - t^6.316 + 8*t^6.474 - t^6.632 + 8*t^6.789 + 9*t^7.105 + t^7.263 + 6*t^7.421 + 5*t^7.579 + 2*t^7.737 + 8*t^7.895 - 2*t^8.053 + 13*t^8.211 - 6*t^8.368 + 14*t^8.526 - 6*t^8.684 + 16*t^8.842 - t^4.421/y - t^6.474/y - t^6.789/y + (2*t^7.421)/y + (2*t^7.737)/y + (4*t^8.053)/y + t^8.211/y + (4*t^8.368)/y + (2*t^8.526)/y + (3*t^8.684)/y + (3*t^8.842)/y - t^4.421*y - t^6.474*y - t^6.789*y + 2*t^7.421*y + 2*t^7.737*y + 4*t^8.053*y + t^8.211*y + 4*t^8.368*y + 2*t^8.526*y + 3*t^8.684*y + 3*t^8.842*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 |
---|---|---|---|---|---|---|---|---|
5820 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{8}$ | 0.6723 | 0.8565 | 0.7849 | [M:[0.6842, 1.0526, 1.2105, 1.1053, 0.7895, 0.8947, 0.7895, 0.8947], q:[0.5526, 0.7632], qb:[0.3421, 0.4474], phi:[0.4737]] | t^2.053 + 2*t^2.368 + 2*t^2.684 + t^3. + t^3.158 + t^3.474 + t^3.789 + 3*t^4.105 + 3*t^4.421 + 6*t^4.737 + 5*t^5.053 + t^5.211 + 4*t^5.368 + 3*t^5.526 + 5*t^5.842 - 2*t^6. - t^4.421/y - t^4.421*y | detail | {a: 73785/109744, c: 94001/109744, M1: 13/19, M2: 20/19, M3: 23/19, M4: 21/19, M5: 15/19, M6: 17/19, M7: 15/19, M8: 17/19, q1: 21/38, q2: 29/38, qb1: 13/38, qb2: 17/38, phi1: 9/19} |
5819 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}M_{8}$ | 0.6533 | 0.8243 | 0.7925 | [M:[0.6842, 1.0526, 1.2105, 1.1053, 0.7895, 0.8947, 0.7895, 1.1053], q:[0.5526, 0.7632], qb:[0.3421, 0.4474], phi:[0.4737]] | t^2.053 + 2*t^2.368 + t^3. + t^3.158 + 2*t^3.316 + t^3.474 + t^3.789 + 3*t^4.105 + 3*t^4.421 + 4*t^4.737 + t^5.053 + t^5.211 + 3*t^5.368 + 3*t^5.526 + 2*t^5.684 + 3*t^5.842 - 2*t^6. - t^4.421/y - t^4.421*y | detail | {a: 71691/109744, c: 90463/109744, M1: 13/19, M2: 20/19, M3: 23/19, M4: 21/19, M5: 15/19, M6: 17/19, M7: 15/19, M8: 21/19, q1: 21/38, q2: 29/38, qb1: 13/38, qb2: 17/38, phi1: 9/19} |
5822 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6823 | 0.8764 | 0.7786 | [M:[0.6842, 1.0526, 1.2105, 1.1053, 0.7895, 0.8947, 0.7895, 0.7368], q:[0.5526, 0.7632], qb:[0.3421, 0.4474], phi:[0.4737]] | t^2.053 + t^2.211 + 2*t^2.368 + t^2.684 + t^3. + t^3.158 + t^3.316 + t^3.474 + 3*t^4.105 + t^4.263 + 4*t^4.421 + 2*t^4.579 + 5*t^4.737 + t^4.895 + 3*t^5.053 + 2*t^5.211 + 4*t^5.368 + 4*t^5.526 + 2*t^5.684 + 3*t^5.842 - t^6. - t^4.421/y - t^4.421*y | detail | {a: 74883/109744, c: 48091/54872, M1: 13/19, M2: 20/19, M3: 23/19, M4: 21/19, M5: 15/19, M6: 17/19, M7: 15/19, M8: 14/19, q1: 21/38, q2: 29/38, qb1: 13/38, qb2: 17/38, phi1: 9/19} |
5821 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6765 | 0.864 | 0.783 | [M:[0.6842, 1.0526, 1.2105, 1.1053, 0.7895, 0.8947, 0.7895, 0.8421], q:[0.5526, 0.7632], qb:[0.3421, 0.4474], phi:[0.4737]] | t^2.053 + 2*t^2.368 + t^2.526 + t^2.684 + t^3. + t^3.158 + t^3.316 + t^3.789 + 3*t^4.105 + 3*t^4.421 + t^4.579 + 5*t^4.737 + 2*t^4.895 + 4*t^5.053 + 2*t^5.211 + 3*t^5.368 + 3*t^5.526 + 2*t^5.684 + 3*t^5.842 - t^6. - t^4.421/y - t^4.421*y | detail | {a: 74241/109744, c: 47409/54872, M1: 13/19, M2: 20/19, M3: 23/19, M4: 21/19, M5: 15/19, M6: 17/19, M7: 15/19, M8: 16/19, q1: 21/38, q2: 29/38, qb1: 13/38, qb2: 17/38, phi1: 9/19} |
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 |
---|---|---|---|---|---|---|---|---|---|
2369 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6675 | 0.845 | 0.79 | [M:[0.7452, 1.0311, 1.1926, 1.1304, 0.8074, 0.8696, 0.8074], q:[0.497, 0.7578], qb:[0.3726, 0.4348], phi:[0.4845]] | t^2.236 + 2*t^2.422 + t^2.609 + t^2.795 + t^3.093 + t^3.391 + t^3.689 + t^3.876 + 2*t^4.062 + t^4.249 + t^4.435 + t^4.471 + 2*t^4.658 + 4*t^4.845 + 3*t^5.031 + 3*t^5.218 + t^5.329 + t^5.404 + 2*t^5.516 + t^5.591 + t^5.702 + t^5.889 + t^5.925 - 2*t^6. - t^4.453/y - t^4.453*y | detail |