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 |
---|---|---|---|---|---|---|---|---|---|
55926 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ | 0.6388 | 0.7821 | 0.8167 | [M:[1.1765, 1.0588, 1.0588, 0.9412, 0.8235], q:[0.4118, 0.4118], qb:[0.5294, 0.7647], phi:[0.4706]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 50211/78608, c: 30741/39304, M1: 20/17, M2: 18/17, M3: 18/17, M4: 16/17, M5: 14/17, q1: 7/17, q2: 7/17, qb1: 9/17, qb2: 13/17, phi1: 8/17} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$ | ${}M_{2}M_{4}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | -1 | t^2.471 + 2*t^2.824 + t^3.176 + 2*t^3.529 + 4*t^3.882 + 2*t^4.235 + t^4.588 + t^4.941 + 2*t^5.294 + 2*t^5.647 - t^6. + 4*t^6.353 + 8*t^6.706 + 4*t^7.059 + 5*t^7.412 + 9*t^7.765 + 6*t^8.118 + 2*t^8.471 - 2*t^8.824 - t^4.412/y + (2*t^8.294)/y + (2*t^8.647)/y - t^4.412*y + 2*t^8.294*y + 2*t^8.647*y | t^2.471 + 2*t^2.824 + t^3.176 + 2*t^3.529 + 4*t^3.882 + 2*t^4.235 + t^4.588 + t^4.941 + 2*t^5.294 + 2*t^5.647 - t^6. + 4*t^6.353 + 8*t^6.706 + 4*t^7.059 + 5*t^7.412 + 9*t^7.765 + 6*t^8.118 + 2*t^8.471 - 2*t^8.824 - t^4.412/y + (2*t^8.294)/y + (2*t^8.647)/y - t^4.412*y + 2*t^8.294*y + 2*t^8.647*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 |
---|---|---|---|---|---|---|---|---|
57601 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}M_{6}$ | 0.6442 | 0.7913 | 0.8141 | [M:[1.1765, 1.0588, 1.0588, 0.9412, 0.8235, 0.9412], q:[0.4118, 0.4118], qb:[0.5294, 0.7647], phi:[0.4706]] | t^2.471 + 3*t^2.824 + 2*t^3.529 + 4*t^3.882 + 2*t^4.235 + t^4.588 + t^4.941 + 3*t^5.294 + 4*t^5.647 - 3*t^6. - t^4.412/y - t^4.412*y | detail | {a: 3165/4913, c: 7775/9826, M1: 20/17, M2: 18/17, M3: 18/17, M4: 16/17, M5: 14/17, M6: 16/17, q1: 7/17, q2: 7/17, qb1: 9/17, qb2: 13/17, phi1: 8/17} |
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 |
---|---|---|---|---|---|---|---|---|---|
48170 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.6682 | 0.8218 | 0.813 | [M:[0.9959, 1.0917, 1.0917, 0.9083, 0.725], q:[0.502, 0.502], qb:[0.4063, 0.7729], phi:[0.4542]] | t^2.175 + 2*t^2.725 + t^2.988 + t^3.275 + t^3.538 + t^3.8 + t^3.825 + 2*t^4.088 + t^4.35 + 3*t^4.375 + 2*t^4.9 + t^5.163 + 4*t^5.45 + t^5.713 + 2*t^5.975 - 2*t^6. - t^4.363/y - t^4.363*y | detail |