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 |
---|---|---|---|---|---|---|---|---|---|
55042 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{5}$ | 0.5794 | 0.7274 | 0.7965 | [M:[1.2632, 0.7368, 0.7368, 0.9474, 1.0526], q:[0.4737, 0.2632], qb:[0.7895, 0.7895], phi:[0.4211]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 63585/109744, c: 39915/54872, M1: 24/19, M2: 14/19, M3: 14/19, M4: 18/19, M5: 20/19, q1: 9/19, q2: 5/19, qb1: 15/19, qb2: 15/19, phi1: 8/19} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}M_{1}M_{2}$, ${ }\phi_{1}^{3}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 2 | 2*t^2.211 + t^2.526 + t^2.842 + 2*t^3.158 + t^3.474 + t^3.789 + t^4.105 + 3*t^4.421 + 3*t^4.737 + 3*t^5.053 + 4*t^5.368 + 3*t^5.684 + 2*t^6. + 4*t^6.316 + 4*t^6.632 + 4*t^6.947 + 5*t^7.263 + 6*t^7.579 + 5*t^7.895 + 3*t^8.211 + 4*t^8.526 + 3*t^8.842 - t^4.263/y - t^6.474/y - t^6.789/y + t^7.421/y + (3*t^7.737)/y + (3*t^8.053)/y + (5*t^8.368)/y + (3*t^8.684)/y - t^4.263*y - t^6.474*y - t^6.789*y + t^7.421*y + 3*t^7.737*y + 3*t^8.053*y + 5*t^8.368*y + 3*t^8.684*y | 2*t^2.211 + t^2.526 + t^2.842 + 2*t^3.158 + t^3.474 + t^3.789 + t^4.105 + 3*t^4.421 + 3*t^4.737 + 3*t^5.053 + 4*t^5.368 + 3*t^5.684 + 2*t^6. + 4*t^6.316 + 4*t^6.632 + 4*t^6.947 + 5*t^7.263 + 6*t^7.579 + 5*t^7.895 + 3*t^8.211 + 4*t^8.526 + 3*t^8.842 - t^4.263/y - t^6.474/y - t^6.789/y + t^7.421/y + (3*t^7.737)/y + (3*t^8.053)/y + (5*t^8.368)/y + (3*t^8.684)/y - t^4.263*y - t^6.474*y - t^6.789*y + t^7.421*y + 3*t^7.737*y + 3*t^8.053*y + 5*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 |
---|---|---|---|---|---|---|---|---|
56698 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{6}$ | 0.5989 | 0.7634 | 0.7846 | [M:[1.2632, 0.7368, 0.7368, 0.9474, 1.0526, 0.7368], q:[0.4737, 0.2632], qb:[0.7895, 0.7895], phi:[0.4211]] | 3*t^2.211 + t^2.526 + t^2.842 + 2*t^3.158 + t^3.474 + t^4.105 + 6*t^4.421 + 4*t^4.737 + 4*t^5.053 + 6*t^5.368 + 4*t^5.684 - t^4.263/y - t^4.263*y | detail | {a: 32865/54872, c: 20945/27436, M1: 24/19, M2: 14/19, M3: 14/19, M4: 18/19, M5: 20/19, M6: 14/19, q1: 9/19, q2: 5/19, qb1: 15/19, qb2: 15/19, phi1: 8/19} |
56696 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{4}M_{6}$ | 0.5745 | 0.7192 | 0.7988 | [M:[1.2632, 0.7368, 0.7368, 0.9474, 1.0526, 1.0526], q:[0.4737, 0.2632], qb:[0.7895, 0.7895], phi:[0.4211]] | 2*t^2.211 + t^2.526 + 3*t^3.158 + t^3.474 + t^3.789 + t^4.105 + 3*t^4.421 + 3*t^4.737 + t^5.053 + 5*t^5.368 + 3*t^5.684 - t^4.263/y - t^4.263*y | detail | {a: 7881/13718, c: 19733/27436, M1: 24/19, M2: 14/19, M3: 14/19, M4: 18/19, M5: 20/19, M6: 20/19, q1: 9/19, q2: 5/19, qb1: 15/19, qb2: 15/19, phi1: 8/19} |
56697 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{5}M_{6}$ | 0.5843 | 0.7356 | 0.7943 | [M:[1.2632, 0.7368, 0.7368, 0.9474, 1.0526, 0.9474], q:[0.4737, 0.2632], qb:[0.7895, 0.7895], phi:[0.4211]] | 2*t^2.211 + t^2.526 + 2*t^2.842 + t^3.158 + t^3.474 + t^3.789 + t^4.105 + 3*t^4.421 + 3*t^4.737 + 5*t^5.053 + 3*t^5.368 + 4*t^5.684 + 2*t^6. - t^4.263/y - t^4.263*y | detail | {a: 32061/54872, c: 10091/13718, M1: 24/19, M2: 14/19, M3: 14/19, M4: 18/19, M5: 20/19, M6: 18/19, q1: 9/19, q2: 5/19, qb1: 15/19, qb2: 15/19, phi1: 8/19} |
56695 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.5657 | 0.7039 | 0.8037 | [M:[1.2632, 0.7368, 0.7368, 0.9474, 1.0526, 1.1579], q:[0.4737, 0.2632], qb:[0.7895, 0.7895], phi:[0.4211]] | 2*t^2.211 + t^2.842 + 2*t^3.158 + 2*t^3.474 + t^3.789 + t^4.105 + 3*t^4.421 + t^4.737 + 2*t^5.053 + 3*t^5.368 + 3*t^5.684 + t^6. - t^4.263/y - t^4.263*y | detail | {a: 31041/54872, c: 19311/27436, M1: 24/19, M2: 14/19, M3: 14/19, M4: 18/19, M5: 20/19, M6: 22/19, q1: 9/19, q2: 5/19, qb1: 15/19, qb2: 15/19, 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 |
---|---|---|---|---|---|---|---|---|---|
46977 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6522 | 0.82 | 0.7954 | [M:[1.177, 0.823, 0.823, 0.7464, 0.7082], q:[0.3732, 0.4497], qb:[0.8038, 0.8038], phi:[0.3923]] | t^2.125 + t^2.239 + t^2.354 + 2*t^2.469 + t^3.416 + t^3.531 + t^3.646 + t^3.761 + t^4.249 + t^4.364 + 2*t^4.479 + 3*t^4.593 + 3*t^4.708 + 3*t^4.823 + 3*t^4.938 + t^5.541 + 2*t^5.656 + 2*t^5.77 + 3*t^5.885 + t^6. - t^4.177/y - t^4.177*y | detail |