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 |
---|---|---|---|---|---|---|---|---|---|
3046 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{6}$ | 0.5989 | 0.7634 | 0.7846 | [M:[1.2632, 0.9474, 0.7368, 0.7368, 0.7368, 1.0526], q:[0.7895, 0.2632], qb:[0.4737, 0.7895], phi:[0.4211]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 32865/54872, c: 20945/27436, M1: 24/19, M2: 18/19, M3: 14/19, M4: 14/19, M5: 14/19, M6: 20/19, q1: 15/19, q2: 5/19, qb1: 9/19, qb2: 15/19, phi1: 8/19} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0 | 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 + 4*t^6.316 + 9*t^6.632 + 6*t^6.947 + 8*t^7.263 + 11*t^7.579 + 8*t^7.895 + 5*t^8.526 + 9*t^8.842 - t^4.263/y - (2*t^6.474)/y - t^6.789/y + (3*t^7.421)/y + (4*t^7.737)/y + (5*t^8.053)/y + (7*t^8.368)/y + (2*t^8.684)/y - t^4.263*y - 2*t^6.474*y - t^6.789*y + 3*t^7.421*y + 4*t^7.737*y + 5*t^8.053*y + 7*t^8.368*y + 2*t^8.684*y | 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 + 4*t^6.316 + 9*t^6.632 + 6*t^6.947 + 8*t^7.263 + 11*t^7.579 + 8*t^7.895 + 5*t^8.526 + 9*t^8.842 - t^4.263/y - (2*t^6.474)/y - t^6.789/y + (3*t^7.421)/y + (4*t^7.737)/y + (5*t^8.053)/y + (7*t^8.368)/y + (2*t^8.684)/y - t^4.263*y - 2*t^6.474*y - t^6.789*y + 3*t^7.421*y + 4*t^7.737*y + 5*t^8.053*y + 7*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 |
---|---|---|---|---|---|---|---|---|
4912 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{2}M_{7}$ | 0.594 | 0.7552 | 0.7866 | [M:[1.2632, 0.9474, 0.7368, 0.7368, 0.7368, 1.0526, 1.0526], q:[0.7895, 0.2632], qb:[0.4737, 0.7895], phi:[0.4211]] | 3*t^2.211 + t^2.526 + 3*t^3.158 + t^3.474 + t^4.105 + 6*t^4.421 + 4*t^4.737 + t^5.053 + 8*t^5.368 + 4*t^5.684 - 2*t^6. - t^4.263/y - t^4.263*y | detail | {a: 65193/109744, c: 41441/54872, M1: 24/19, M2: 18/19, M3: 14/19, M4: 14/19, M5: 14/19, M6: 20/19, M7: 20/19, q1: 15/19, q2: 5/19, qb1: 9/19, 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 |
---|---|---|---|---|---|---|---|---|---|
1992 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6674 | 0.8457 | 0.7891 | [M:[1.18, 0.7534, 0.82, 0.82, 0.82, 0.7201], q:[0.8033, 0.4433], qb:[0.3767, 0.8033], phi:[0.3933]] | t^2.16 + t^2.26 + t^2.36 + 3*t^2.46 + t^3.44 + t^3.64 + t^3.74 + t^4.32 + t^4.42 + 2*t^4.52 + 4*t^4.62 + 4*t^4.72 + 4*t^4.82 + 6*t^4.92 + t^5.6 + t^5.7 + t^5.8 + 3*t^5.9 - t^6. - t^4.18/y - t^4.18*y | detail |