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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55972 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | 0.6506 | 0.8183 | 0.795 | [M:[0.8947, 1.2105, 1.1053, 0.6842, 0.7895], q:[0.3421, 0.7632], qb:[0.4474, 0.5526], phi:[0.4737]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 71397/109744, c: 5613/6859, M1: 17/19, M2: 23/19, M3: 21/19, M4: 13/19, M5: 15/19, q1: 13/38, q2: 29/38, qb1: 17/38, qb2: 21/38, phi1: 9/19} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | 0 | t^2.053 + t^2.368 + t^2.684 + t^2.842 + t^3. + t^3.316 + t^3.474 + t^3.632 + t^3.789 + 3*t^4.105 + 2*t^4.421 + 3*t^4.737 + t^4.895 + 2*t^5.053 + t^5.211 + 2*t^5.368 + 2*t^5.526 + 2*t^5.684 + 3*t^5.842 + 5*t^6.158 + 5*t^6.474 + 5*t^6.789 + 3*t^6.947 + 5*t^7.105 + t^7.263 + 4*t^7.421 + 5*t^7.579 + 3*t^7.737 + 4*t^7.895 + 9*t^8.211 - t^8.368 + 8*t^8.526 - 2*t^8.684 + 8*t^8.842 - t^4.421/y - t^6.474/y - t^7.263/y + t^7.421/y + t^7.579/y + t^7.737/y + t^7.895/y + (2*t^8.053)/y + t^8.211/y + (3*t^8.368)/y + t^8.526/y + (3*t^8.684)/y + (3*t^8.842)/y - t^4.421*y - t^6.474*y - t^7.263*y + t^7.421*y + t^7.579*y + t^7.737*y + t^7.895*y + 2*t^8.053*y + t^8.211*y + 3*t^8.368*y + t^8.526*y + 3*t^8.684*y + 3*t^8.842*y | t^2.053 + t^2.368 + t^2.684 + t^2.842 + t^3. + t^3.316 + t^3.474 + t^3.632 + t^3.789 + 3*t^4.105 + 2*t^4.421 + 3*t^4.737 + t^4.895 + 2*t^5.053 + t^5.211 + 2*t^5.368 + 2*t^5.526 + 2*t^5.684 + 3*t^5.842 + 5*t^6.158 + 5*t^6.474 + 5*t^6.789 + 3*t^6.947 + 5*t^7.105 + t^7.263 + 4*t^7.421 + 5*t^7.579 + 3*t^7.737 + 4*t^7.895 + 9*t^8.211 - t^8.368 + 8*t^8.526 - 2*t^8.684 + 8*t^8.842 - t^4.421/y - t^6.474/y - t^7.263/y + t^7.421/y + t^7.579/y + t^7.737/y + t^7.895/y + (2*t^8.053)/y + t^8.211/y + (3*t^8.368)/y + t^8.526/y + (3*t^8.684)/y + (3*t^8.842)/y - t^4.421*y - t^6.474*y - t^7.263*y + t^7.421*y + t^7.579*y + t^7.737*y + t^7.895*y + 2*t^8.053*y + t^8.211*y + 3*t^8.368*y + 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 |
---|---|---|---|---|---|---|---|---|
57807 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ | 0.6601 | 0.8345 | 0.7911 | [M:[0.8947, 1.2105, 1.1053, 0.6842, 0.7895, 0.8947], q:[0.3421, 0.7632], qb:[0.4474, 0.5526], phi:[0.4737]] | t^2.053 + t^2.368 + 2*t^2.684 + t^2.842 + t^3. + t^3.474 + t^3.632 + t^3.789 + 3*t^4.105 + 2*t^4.421 + 4*t^4.737 + t^4.895 + 3*t^5.053 + 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: 18111/27436, c: 91577/109744, M1: 17/19, M2: 23/19, M3: 21/19, M4: 13/19, M5: 15/19, M6: 17/19, q1: 13/38, q2: 29/38, qb1: 17/38, qb2: 21/38, phi1: 9/19} |
57810 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6701 | 0.8543 | 0.7844 | [M:[0.8947, 1.2105, 1.1053, 0.6842, 0.7895, 0.7368], q:[0.3421, 0.7632], qb:[0.4474, 0.5526], phi:[0.4737]] | t^2.053 + t^2.211 + t^2.368 + t^2.684 + t^2.842 + t^3. + t^3.316 + t^3.474 + t^3.632 + 3*t^4.105 + t^4.263 + 3*t^4.421 + t^4.579 + 3*t^4.737 + 2*t^4.895 + 3*t^5.053 + 2*t^5.211 + 2*t^5.368 + 3*t^5.526 + 3*t^5.684 + 3*t^5.842 - t^4.421/y - t^4.421*y | detail | {a: 36771/54872, c: 46879/54872, M1: 17/19, M2: 23/19, M3: 21/19, M4: 13/19, M5: 15/19, M6: 14/19, q1: 13/38, q2: 29/38, qb1: 17/38, qb2: 21/38, phi1: 9/19} |
57809 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6643 | 0.8419 | 0.789 | [M:[0.8947, 1.2105, 1.1053, 0.6842, 0.7895, 0.8421], q:[0.3421, 0.7632], qb:[0.4474, 0.5526], phi:[0.4737]] | t^2.053 + t^2.368 + t^2.526 + t^2.684 + t^2.842 + t^3. + t^3.316 + t^3.632 + t^3.789 + 3*t^4.105 + 2*t^4.421 + t^4.579 + 3*t^4.737 + 2*t^4.895 + 3*t^5.053 + 2*t^5.211 + 3*t^5.368 + 2*t^5.526 + 2*t^5.684 + 3*t^5.842 - t^4.421/y - t^4.421*y | detail | {a: 18225/27436, c: 46197/54872, M1: 17/19, M2: 23/19, M3: 21/19, M4: 13/19, M5: 15/19, M6: 16/19, q1: 13/38, q2: 29/38, qb1: 17/38, qb2: 21/38, 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 |
---|---|---|---|---|---|---|---|---|---|
48254 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6544 | 0.8218 | 0.7964 | [M:[0.872, 1.1943, 1.128, 0.7395, 0.8057], q:[0.3698, 0.7583], qb:[0.436, 0.5022], phi:[0.4834]] | t^2.219 + t^2.417 + t^2.616 + t^2.814 + t^2.901 + t^3.384 + t^3.583 + t^3.669 + t^3.868 + 2*t^4.066 + t^4.265 + t^4.437 + t^4.463 + t^4.636 + 2*t^4.834 + 2*t^5.033 + t^5.119 + 2*t^5.232 + t^5.318 + t^5.43 + t^5.517 + t^5.629 + t^5.715 + t^5.801 + t^5.888 - t^6. - t^4.45/y - t^4.45*y | detail |