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 |
---|---|---|---|---|---|---|---|---|---|
46954 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 0.5847 | 0.7758 | 0.7536 | [M:[1.0588, 0.8235, 0.7059, 0.7059], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]] | [M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 5745/9826, c: 15247/19652, M1: 18/17, M2: 14/17, M3: 12/17, M4: 12/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | 3*t^2.118 + 3*t^2.471 + t^2.824 + t^3.176 + t^3.529 + 7*t^4.235 + 9*t^4.588 + 9*t^4.941 + 7*t^5.294 + 4*t^5.647 - t^6. + 10*t^6.353 + 18*t^6.706 + 20*t^7.059 + 22*t^7.412 + 13*t^7.765 - 2*t^8.118 + 6*t^8.471 + 17*t^8.824 - t^4.412/y - (2*t^6.529)/y - t^6.882/y + (3*t^7.235)/y + (9*t^7.588)/y + (7*t^7.941)/y + (8*t^8.294)/y + (3*t^8.647)/y - t^4.412*y - 2*t^6.529*y - t^6.882*y + 3*t^7.235*y + 9*t^7.588*y + 7*t^7.941*y + 8*t^8.294*y + 3*t^8.647*y | 3*t^2.118 + 3*t^2.471 + t^2.824 + t^3.176 + t^3.529 + 7*t^4.235 + 9*t^4.588 + 9*t^4.941 + 7*t^5.294 + 4*t^5.647 - t^6. + 10*t^6.353 + 18*t^6.706 + 20*t^7.059 + 22*t^7.412 + 13*t^7.765 - 2*t^8.118 + 6*t^8.471 + 17*t^8.824 - t^4.412/y - (2*t^6.529)/y - t^6.882/y + (3*t^7.235)/y + (9*t^7.588)/y + (7*t^7.941)/y + (8*t^8.294)/y + (3*t^8.647)/y - t^4.412*y - 2*t^6.529*y - t^6.882*y + 3*t^7.235*y + 9*t^7.588*y + 7*t^7.941*y + 8*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 |
---|---|---|---|---|---|---|---|---|
55056 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.5792 | 0.7667 | 0.7555 | [M:[1.0588, 0.8235, 0.7059, 0.7059, 1.0588], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]] | 3*t^2.118 + 3*t^2.471 + 2*t^3.176 + t^3.529 + 7*t^4.235 + 9*t^4.588 + 6*t^4.941 + 7*t^5.294 + 6*t^5.647 - 2*t^6. - t^4.412/y - t^4.412*y | detail | {a: 45531/78608, c: 30135/39304, M1: 18/17, M2: 14/17, M3: 12/17, M4: 12/17, M5: 18/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17} |
55143 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5997 | 0.8019 | 0.7478 | [M:[1.0588, 0.8235, 0.7059, 0.7059, 0.8235], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]] | 3*t^2.118 + 4*t^2.471 + t^2.824 + t^3.176 + 7*t^4.235 + 12*t^4.588 + 13*t^4.941 + 8*t^5.294 + 2*t^5.647 - 4*t^6. - t^4.412/y - t^4.412*y | detail | {a: 47139/78608, c: 31517/39304, M1: 18/17, M2: 14/17, M3: 12/17, M4: 12/17, M5: 14/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, 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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
46684 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6512 | 0.8604 | 0.7568 | [M:[0.9698, 0.7122, 0.7727, 0.7727], q:[0.7424, 0.2878], qb:[0.4849, 0.4244], phi:[0.5151]] | 2*t^2.137 + 3*t^2.318 + t^2.728 + t^2.909 + t^3.091 + t^3.272 + t^3.501 + t^4.092 + 4*t^4.273 + 7*t^4.455 + 6*t^4.636 + 2*t^4.865 + 5*t^5.046 + 5*t^5.227 + 4*t^5.409 + t^5.456 + 2*t^5.59 + 3*t^5.637 + 3*t^5.819 - 2*t^6. - t^4.545/y - t^4.545*y | detail |