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 |
---|---|---|---|---|---|---|---|---|---|
4133 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6687 | 0.8415 | 0.7947 | [M:[1.0588, 1.0588, 1.1765, 0.8235, 0.7059, 1.0588, 0.7059], q:[0.7647, 0.5294], qb:[0.4118, 0.4118], phi:[0.4706]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 52563/78608, c: 33073/39304, M1: 18/17, M2: 18/17, M3: 20/17, M4: 14/17, M5: 12/17, M6: 18/17, M7: 12/17, q1: 13/17, q2: 9/17, qb1: 7/17, qb2: 7/17, phi1: 8/17} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{7}q_{1}\tilde{q}_{1}$ | ${}M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 1 | 2*t^2.118 + t^2.471 + 3*t^3.176 + 2*t^3.529 + 2*t^3.882 + 5*t^4.235 + 3*t^4.588 + t^4.941 + 6*t^5.294 + 5*t^5.647 + t^6. + 11*t^6.353 + 9*t^6.706 + 4*t^7.059 + 12*t^7.412 + 10*t^7.765 + t^8.118 + 15*t^8.471 + 15*t^8.824 - t^4.412/y - (2*t^6.529)/y + (3*t^7.235)/y + (8*t^8.294)/y + (4*t^8.647)/y - t^4.412*y - 2*t^6.529*y + 3*t^7.235*y + 8*t^8.294*y + 4*t^8.647*y | 2*t^2.118 + t^2.471 + 3*t^3.176 + 2*t^3.529 + 2*t^3.882 + 5*t^4.235 + 3*t^4.588 + t^4.941 + 6*t^5.294 + 5*t^5.647 + t^6. + 11*t^6.353 + 9*t^6.706 + 4*t^7.059 + 12*t^7.412 + 10*t^7.765 + t^8.118 + 15*t^8.471 + 15*t^8.824 - t^4.412/y - (2*t^6.529)/y + (3*t^7.235)/y + (8*t^8.294)/y + (4*t^8.647)/y - t^4.412*y - 2*t^6.529*y + 3*t^7.235*y + 8*t^8.294*y + 4*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 |
---|---|---|---|---|---|---|---|---|
5639 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6891 | 0.8803 | 0.7828 | [M:[1.0588, 1.0588, 1.1765, 0.8235, 0.7059, 1.0588, 0.7059, 0.7059], q:[0.7647, 0.5294], qb:[0.4118, 0.4118], phi:[0.4706]] | 3*t^2.118 + t^2.471 + 3*t^3.176 + 2*t^3.529 + t^3.882 + 8*t^4.235 + 4*t^4.588 + t^4.941 + 9*t^5.294 + 7*t^5.647 - t^4.412/y - t^4.412*y | detail | {a: 6771/9826, c: 17299/19652, M1: 18/17, M2: 18/17, M3: 20/17, M4: 14/17, M5: 12/17, M6: 18/17, M7: 12/17, M8: 12/17, q1: 13/17, q2: 9/17, qb1: 7/17, qb2: 7/17, 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 |
---|---|---|---|---|---|---|---|---|---|
2159 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}q_{2}$ | 0.6748 | 0.848 | 0.7958 | [M:[0.9778, 1.0838, 1.1453, 0.8547, 0.6872, 1.0838, 0.6872], q:[0.7709, 0.5419], qb:[0.4803, 0.3744], phi:[0.4581]] | 2*t^2.062 + t^2.564 + t^2.933 + 2*t^3.251 + t^3.436 + t^3.62 + t^3.754 + 4*t^4.123 + t^4.256 + t^4.441 + 3*t^4.626 + 2*t^4.995 + t^5.128 + 4*t^5.313 + 2*t^5.497 + t^5.682 + 3*t^5.815 + t^5.867 - 2*t^6. - t^4.374/y - t^4.374*y | detail |