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 |
---|---|---|---|---|---|---|---|---|---|
3311 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 0.6155 | 0.7965 | 0.7728 | [M:[0.9474, 1.1579, 0.9474, 0.8421, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 67551/109744, c: 43703/54872, M1: 18/19, M2: 22/19, M3: 18/19, M4: 16/19, M5: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 2 | 2*t^2.211 + 2*t^2.526 + 2*t^2.842 + 2*t^3.474 + 2*t^3.789 + 3*t^4.105 + 3*t^4.421 + 4*t^4.737 + 7*t^5.053 + 4*t^5.368 + 4*t^5.684 + 2*t^6. + 8*t^6.316 + 10*t^6.632 + 8*t^6.947 + 9*t^7.263 + 11*t^7.579 + 12*t^7.895 + 7*t^8.211 + 5*t^8.526 + 8*t^8.842 - t^4.579/y - t^7.105/y + (5*t^7.737)/y + (6*t^8.053)/y + (4*t^8.368)/y + (5*t^8.684)/y - t^4.579*y - t^7.105*y + 5*t^7.737*y + 6*t^8.053*y + 4*t^8.368*y + 5*t^8.684*y | 2*t^2.211 + 2*t^2.526 + 2*t^2.842 + 2*t^3.474 + 2*t^3.789 + 3*t^4.105 + 3*t^4.421 + 4*t^4.737 + 7*t^5.053 + 4*t^5.368 + 4*t^5.684 + 2*t^6. + 8*t^6.316 + 10*t^6.632 + 8*t^6.947 + 9*t^7.263 + 11*t^7.579 + 12*t^7.895 + 7*t^8.211 + 5*t^8.526 + 8*t^8.842 - t^4.579/y - t^7.105/y + (5*t^7.737)/y + (6*t^8.053)/y + (4*t^8.368)/y + (5*t^8.684)/y - t^4.579*y - t^7.105*y + 5*t^7.737*y + 6*t^8.053*y + 4*t^8.368*y + 5*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 |
---|---|---|---|---|---|---|---|---|
3746 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6292 | 0.82 | 0.7673 | [M:[0.9474, 1.1579, 0.9474, 0.8421, 0.8421, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 2*t^2.211 + 3*t^2.526 + 2*t^2.842 + t^3.474 + 2*t^3.789 + 3*t^4.105 + 3*t^4.421 + 6*t^4.737 + 10*t^5.053 + 6*t^5.368 + 2*t^5.684 + t^6. - t^4.579/y - t^4.579*y | detail | {a: 34527/54872, c: 11249/13718, M1: 18/19, M2: 22/19, M3: 18/19, M4: 16/19, M5: 16/19, M6: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
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 |
---|---|---|---|---|---|---|---|---|---|
2791 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6157 | 0.7974 | 0.7721 | [M:[0.9456, 1.1631, 0.9456, 0.8369, 0.8369], q:[0.7364, 0.318], qb:[0.4267, 0.4102], phi:[0.5272]] | t^2.185 + t^2.234 + 2*t^2.511 + 2*t^2.837 + t^3.44 + t^3.489 + t^3.766 + t^3.815 + t^4.043 + t^4.092 + t^4.142 + t^4.369 + t^4.418 + t^4.468 + 2*t^4.695 + 2*t^4.745 + 5*t^5.021 + 2*t^5.071 + 4*t^5.348 + t^5.625 + 3*t^5.674 + 2*t^5.951 - t^4.582/y - t^4.582*y | detail |