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 |
---|---|---|---|---|---|---|---|---|---|
46614 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6373 | 0.7949 | 0.8018 | [M:[0.826, 0.7394, 1.174, 0.6961], q:[0.8043, 0.3697], qb:[0.4563, 0.8043], phi:[0.3913]] | [M:[[6], [-14], [-6], [-24]], q:[[1], [-7]], qb:[[13], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.088 + t^2.218 + t^2.348 + t^2.478 + t^3.392 + 2*t^3.522 + t^3.652 + t^3.782 + t^4.177 + t^4.307 + 2*t^4.436 + 2*t^4.566 + 2*t^4.696 + 2*t^4.826 + t^4.956 + t^5.481 + 3*t^5.611 + 3*t^5.74 + 3*t^5.87 + t^6. + t^6.265 + t^6.395 + 2*t^6.525 + 3*t^6.655 + 4*t^6.785 + 5*t^6.914 + 5*t^7.044 + 2*t^7.174 - t^7.434 + t^7.569 + 3*t^7.699 + 4*t^7.829 + 5*t^7.959 + 3*t^8.088 + t^8.218 + t^8.354 - 2*t^8.478 + t^8.483 - 2*t^8.608 + 2*t^8.613 - t^8.738 + 3*t^8.743 + 5*t^8.873 - t^4.174/y - t^6.262/y - t^6.392/y - t^6.522/y + t^7.307/y + t^7.436/y + (2*t^7.566)/y + t^7.696/y + (2*t^7.826)/y + t^7.956/y + t^8.086/y - t^8.351/y + t^8.611/y + (3*t^8.74)/y + (4*t^8.87)/y - t^4.174*y - t^6.262*y - t^6.392*y - t^6.522*y + t^7.307*y + t^7.436*y + 2*t^7.566*y + t^7.696*y + 2*t^7.826*y + t^7.956*y + t^8.086*y - t^8.351*y + t^8.611*y + 3*t^8.74*y + 4*t^8.87*y | t^2.088/g1^24 + t^2.218/g1^14 + t^2.348/g1^4 + g1^6*t^2.478 + t^3.392/g1^16 + (2*t^3.522)/g1^6 + g1^4*t^3.652 + g1^14*t^3.782 + t^4.177/g1^48 + t^4.307/g1^38 + (2*t^4.436)/g1^28 + (2*t^4.566)/g1^18 + (2*t^4.696)/g1^8 + 2*g1^2*t^4.826 + g1^12*t^4.956 + t^5.481/g1^40 + (3*t^5.611)/g1^30 + (3*t^5.74)/g1^20 + (3*t^5.87)/g1^10 + t^6. + t^6.265/g1^72 + t^6.395/g1^62 + (2*t^6.525)/g1^52 + (3*t^6.655)/g1^42 + (4*t^6.785)/g1^32 + (5*t^6.914)/g1^22 + (5*t^7.044)/g1^12 + (2*t^7.174)/g1^2 - g1^18*t^7.434 + t^7.569/g1^64 + (3*t^7.699)/g1^54 + (4*t^7.829)/g1^44 + (5*t^7.959)/g1^34 + (3*t^8.088)/g1^24 + t^8.218/g1^14 + t^8.354/g1^96 - 2*g1^6*t^8.478 + t^8.483/g1^86 - 2*g1^16*t^8.608 + (2*t^8.613)/g1^76 - g1^26*t^8.738 + (3*t^8.743)/g1^66 + (5*t^8.873)/g1^56 - t^4.174/(g1^2*y) - t^6.262/(g1^26*y) - t^6.392/(g1^16*y) - t^6.522/(g1^6*y) + t^7.307/(g1^38*y) + t^7.436/(g1^28*y) + (2*t^7.566)/(g1^18*y) + t^7.696/(g1^8*y) + (2*g1^2*t^7.826)/y + (g1^12*t^7.956)/y + (g1^22*t^8.086)/y - t^8.351/(g1^50*y) + t^8.611/(g1^30*y) + (3*t^8.74)/(g1^20*y) + (4*t^8.87)/(g1^10*y) - (t^4.174*y)/g1^2 - (t^6.262*y)/g1^26 - (t^6.392*y)/g1^16 - (t^6.522*y)/g1^6 + (t^7.307*y)/g1^38 + (t^7.436*y)/g1^28 + (2*t^7.566*y)/g1^18 + (t^7.696*y)/g1^8 + 2*g1^2*t^7.826*y + g1^12*t^7.956*y + g1^22*t^8.086*y - (t^8.351*y)/g1^50 + (t^8.611*y)/g1^30 + (3*t^8.74*y)/g1^20 + (4*t^8.87*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
48294 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.5598 | 0.6914 | 0.8097 | [M:[0.7368, 0.9474, 1.2632, 1.0526], q:[0.7895, 0.4737], qb:[0.2632, 0.7895], phi:[0.4211]] | t^2.211 + t^2.526 + t^2.842 + 2*t^3.158 + t^3.474 + 2*t^3.789 + t^4.105 + t^4.421 + 2*t^4.737 + 2*t^5.053 + 2*t^5.368 + 2*t^5.684 + 2*t^6. - t^4.263/y - t^4.263*y | detail | {a: 3840/6859, c: 9485/13718, M1: 14/19, M2: 18/19, M3: 24/19, M4: 20/19, q1: 15/19, q2: 9/19, qb1: 5/19, qb2: 15/19, phi1: 8/19} |
47283 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}^{2}$ | 0.5798 | 0.7152 | 0.8107 | [M:[0.75, 0.9167, 1.25, 1.0], q:[0.7917, 0.4583], qb:[0.2917, 0.7917], phi:[0.4167]] | t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + t^3.5 + 2*t^3.75 + t^4. + t^4.5 + 2*t^4.75 + 2*t^5. + 2*t^5.25 + 2*t^5.5 + t^5.75 + 2*t^6. - t^4.25/y - t^4.25*y | detail | {a: 1781/3072, c: 2197/3072, M1: 3/4, M2: 11/12, M3: 5/4, M4: 1, q1: 19/24, q2: 11/24, qb1: 7/24, qb2: 19/24, phi1: 5/12} |
46860 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6548 | 0.8265 | 0.7923 | [M:[0.8275, 0.7357, 1.1725, 0.6898, 0.7816], q:[0.8046, 0.3679], qb:[0.4597, 0.8046], phi:[0.3908]] | t^2.069 + t^2.207 + 2*t^2.345 + t^2.483 + t^3.38 + 2*t^3.517 + t^3.793 + t^4.139 + t^4.277 + 3*t^4.414 + 3*t^4.552 + 4*t^4.69 + 3*t^4.828 + t^4.965 + t^5.449 + 3*t^5.587 + 3*t^5.725 + 4*t^5.862 - t^4.172/y - t^4.172*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
46245 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6168 | 0.7552 | 0.8167 | [M:[0.8215, 0.7498, 1.1785], q:[0.8036, 0.3749], qb:[0.4467, 0.8036], phi:[0.3928]] | t^2.249 + t^2.357 + t^2.465 + t^3.428 + 2*t^3.535 + t^3.643 + t^3.751 + t^3.858 + t^4.499 + t^4.606 + 2*t^4.714 + 2*t^4.822 + t^4.929 + t^5.677 + 2*t^5.785 + 2*t^5.892 + t^6. - t^4.178/y - t^4.178*y | detail |