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 |
---|---|---|---|---|---|---|---|---|---|
2081 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6742 | 0.847 | 0.796 | [M:[0.8235, 1.0588, 1.1765, 0.7059, 0.8235], q:[0.4118, 0.7647], qb:[0.4118, 0.5294], phi:[0.4706]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 52995/78608, c: 33289/39304, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 14/17, q1: 7/17, q2: 13/17, qb1: 7/17, qb2: 9/17, phi1: 8/17} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 2 | t^2.118 + 2*t^2.471 + 2*t^2.824 + t^3.176 + t^3.529 + 3*t^3.882 + 3*t^4.235 + 3*t^4.588 + 5*t^4.941 + 5*t^5.294 + 4*t^5.647 + 2*t^6. + 7*t^6.353 + 10*t^6.706 + 7*t^7.059 + 8*t^7.412 + 11*t^7.765 + 8*t^8.118 + 6*t^8.471 + 9*t^8.824 - t^4.412/y - t^6.529/y - t^6.882/y + (2*t^7.588)/y + (4*t^7.941)/y + (6*t^8.294)/y + (3*t^8.647)/y - t^4.412*y - t^6.529*y - t^6.882*y + 2*t^7.588*y + 4*t^7.941*y + 6*t^8.294*y + 3*t^8.647*y | t^2.118 + 2*t^2.471 + 2*t^2.824 + t^3.176 + t^3.529 + 3*t^3.882 + 3*t^4.235 + 3*t^4.588 + 5*t^4.941 + 5*t^5.294 + 4*t^5.647 + 2*t^6. + 7*t^6.353 + 10*t^6.706 + 7*t^7.059 + 8*t^7.412 + 11*t^7.765 + 8*t^8.118 + 6*t^8.471 + 9*t^8.824 - t^4.412/y - t^6.529/y - t^6.882/y + (2*t^7.588)/y + (4*t^7.941)/y + (6*t^8.294)/y + (3*t^8.647)/y - t^4.412*y - t^6.529*y - t^6.882*y + 2*t^7.588*y + 4*t^7.941*y + 6*t^8.294*y + 3*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 |
---|---|---|---|---|---|---|---|---|
3144 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6946 | 0.8858 | 0.7842 | [M:[0.8235, 1.0588, 1.1765, 0.7059, 0.8235, 0.7059], q:[0.4118, 0.7647], qb:[0.4118, 0.5294], phi:[0.4706]] | 2*t^2.118 + 2*t^2.471 + 2*t^2.824 + t^3.176 + t^3.529 + 2*t^3.882 + 5*t^4.235 + 5*t^4.588 + 7*t^4.941 + 6*t^5.294 + 5*t^5.647 + 3*t^6. - t^4.412/y - t^4.412*y | detail | {a: 6825/9826, c: 17407/19652, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 14/17, M6: 12/17, q1: 7/17, q2: 13/17, qb1: 7/17, qb2: 9/17, phi1: 8/17} |
3145 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6892 | 0.873 | 0.7894 | [M:[0.8235, 1.0588, 1.1765, 0.7059, 0.8235, 0.8235], q:[0.4118, 0.7647], qb:[0.4118, 0.5294], phi:[0.4706]] | t^2.118 + 3*t^2.471 + 2*t^2.824 + t^3.176 + 3*t^3.882 + 3*t^4.235 + 4*t^4.588 + 8*t^4.941 + 7*t^5.294 + 4*t^5.647 - t^4.412/y - t^4.412*y | detail | {a: 27087/39304, c: 4289/4913, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 14/17, M6: 14/17, q1: 7/17, q2: 13/17, qb1: 7/17, qb2: 9/17, 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 |
---|---|---|---|---|---|---|---|---|---|
899 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.702 | 0.8645 | 0.812 | [M:[0.933, 1.0223, 1.067, 0.8883, 0.933], q:[0.4665, 0.6005], qb:[0.4665, 0.5112], phi:[0.4888]] | t^2.665 + 2*t^2.799 + 2*t^2.933 + t^3.067 + t^3.201 + 3*t^4.265 + 2*t^4.399 + t^4.534 + 2*t^4.668 + t^4.802 + t^5.07 + t^5.33 + 2*t^5.464 + 3*t^5.598 + 4*t^5.732 + 4*t^5.866 - 2*t^6. - t^4.466/y - t^4.466*y | detail |