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 |
---|---|---|---|---|---|---|---|---|---|
2641 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}M_{7}$ | 0.6618 | 0.8182 | 0.8088 | [M:[0.9341, 0.8122, 0.9341, 0.8122, 1.1878, 0.7512, 1.2488], q:[0.6598, 0.4061], qb:[0.4061, 0.7817], phi:[0.4366]] | [M:[[-22], [-2], [-22], [-2], [2], [8], [-8]], q:[[23], [-1]], qb:[[-1], [3]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$ | ${}$ | -3 | 2*t^2.437 + t^2.619 + 2*t^2.802 + t^3.563 + 3*t^3.746 + t^4.325 + 2*t^4.507 + 3*t^4.873 + 2*t^5.056 + 3*t^5.239 + t^5.269 + 2*t^5.422 + 3*t^5.604 - 3*t^6. + 5*t^6.183 + 4*t^6.366 + 4*t^6.549 - t^6.761 + 2*t^6.944 + 5*t^7.31 + 8*t^7.493 + 4*t^7.675 + t^7.705 + 3*t^7.858 + 5*t^8.041 + t^8.071 + 3*t^8.224 + 2*t^8.254 + 4*t^8.407 - 7*t^8.437 + 2*t^8.619 - 2*t^8.802 + t^8.832 + 5*t^8.985 - t^4.31/y - t^6.746/y - t^6.929/y - (2*t^7.112)/y + (2*t^7.507)/y + t^7.69/y + (2*t^7.873)/y + (2*t^8.056)/y + (4*t^8.239)/y + (2*t^8.422)/y + t^8.604/y - t^4.31*y - t^6.746*y - t^6.929*y - 2*t^7.112*y + 2*t^7.507*y + t^7.69*y + 2*t^7.873*y + 2*t^8.056*y + 4*t^8.239*y + 2*t^8.422*y + t^8.604*y | (2*t^2.437)/g1^2 + t^2.619/g1^12 + (2*t^2.802)/g1^22 + g1^2*t^3.563 + (3*t^3.746)/g1^8 + g1^26*t^4.325 + 2*g1^16*t^4.507 + (3*t^4.873)/g1^4 + (2*t^5.056)/g1^14 + (3*t^5.239)/g1^24 + g1^40*t^5.269 + (2*t^5.422)/g1^34 + (3*t^5.604)/g1^44 - 3*t^6. + (5*t^6.183)/g1^10 + (4*t^6.366)/g1^20 + (4*t^6.549)/g1^30 - g1^24*t^6.761 + 2*g1^14*t^6.944 + (5*t^7.31)/g1^6 + (8*t^7.493)/g1^16 + (4*t^7.675)/g1^26 + g1^38*t^7.705 + (3*t^7.858)/g1^36 + (5*t^8.041)/g1^46 + g1^18*t^8.071 + (3*t^8.224)/g1^56 + 2*g1^8*t^8.254 + (4*t^8.407)/g1^66 - (7*t^8.437)/g1^2 + (2*t^8.619)/g1^12 - (2*t^8.802)/g1^22 + g1^42*t^8.832 + (5*t^8.985)/g1^32 - t^4.31/(g1^6*y) - t^6.746/(g1^8*y) - t^6.929/(g1^18*y) - (2*t^7.112)/(g1^28*y) + (2*g1^16*t^7.507)/y + (g1^6*t^7.69)/y + (2*t^7.873)/(g1^4*y) + (2*t^8.056)/(g1^14*y) + (4*t^8.239)/(g1^24*y) + (2*t^8.422)/(g1^34*y) + t^8.604/(g1^44*y) - (t^4.31*y)/g1^6 - (t^6.746*y)/g1^8 - (t^6.929*y)/g1^18 - (2*t^7.112*y)/g1^28 + 2*g1^16*t^7.507*y + g1^6*t^7.69*y + (2*t^7.873*y)/g1^4 + (2*t^8.056*y)/g1^14 + (4*t^8.239*y)/g1^24 + (2*t^8.422*y)/g1^34 + (t^8.604*y)/g1^44 |
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 |
---|---|---|---|---|---|---|---|---|
4786 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }M_{1}M_{8}$ | 0.6581 | 0.8113 | 0.8112 | [M:[0.9884, 0.8171, 0.9884, 0.8171, 1.1829, 0.7315, 1.2685, 1.0116], q:[0.6031, 0.4086], qb:[0.4086, 0.7743], phi:[0.4514]] | 2*t^2.451 + t^2.708 + t^2.965 + t^3.035 + t^3.549 + 3*t^3.806 + t^4.132 + 2*t^4.389 + 3*t^4.903 + t^4.972 + 2*t^5.16 + t^5.417 + 2*t^5.486 + t^5.673 + t^5.743 + t^5.93 - 2*t^6. - t^4.354/y - t^4.354*y | detail | {a: 781921/1188100, c: 963951/1188100, M1: 1616/1635, M2: 1336/1635, M3: 1616/1635, M4: 1336/1635, M5: 1934/1635, M6: 1196/1635, M7: 2074/1635, M8: 1654/1635, q1: 986/1635, q2: 668/1635, qb1: 668/1635, qb2: 422/545, phi1: 246/545} |
4784 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }M_{2}M_{8}$ | 0.646 | 0.7906 | 0.8172 | [M:[0.9375, 0.8125, 0.9375, 0.8125, 1.1875, 0.75, 1.25, 1.1875], q:[0.6563, 0.4062], qb:[0.4062, 0.7813], phi:[0.4375]] | t^2.437 + t^2.625 + 2*t^2.812 + 2*t^3.563 + 3*t^3.75 + t^4.313 + 2*t^4.5 + t^4.875 + t^5.062 + 2*t^5.25 + 2*t^5.437 + 3*t^5.625 - 3*t^6. - t^4.312/y - t^4.312*y | detail | |
4787 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }M_{5}M_{8}$ | 0.6775 | 0.8458 | 0.801 | [M:[0.9307, 0.8119, 0.9307, 0.8119, 1.1881, 0.7525, 1.2475, 0.8119], q:[0.6634, 0.4059], qb:[0.4059, 0.7822], phi:[0.4356]] | 3*t^2.436 + t^2.614 + 2*t^2.792 + 3*t^3.743 + t^4.337 + 2*t^4.515 + 6*t^4.871 + 3*t^5.05 + 5*t^5.228 + t^5.287 + 2*t^5.406 + 3*t^5.584 - 5*t^6. - t^4.307/y - t^4.307*y | detail | {a: 27645/40804, c: 34513/40804, M1: 94/101, M2: 82/101, M3: 94/101, M4: 82/101, M5: 120/101, M6: 76/101, M7: 126/101, M8: 82/101, q1: 67/101, q2: 41/101, qb1: 41/101, qb2: 79/101, phi1: 44/101} |
4785 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.651 | 0.7992 | 0.8146 | [M:[0.9604, 0.8146, 0.9604, 0.8146, 1.1854, 0.7417, 1.2583, 1.1125], q:[0.6323, 0.4073], qb:[0.4073, 0.7781], phi:[0.4438]] | 2*t^2.444 + 2*t^2.881 + t^3.337 + t^3.556 + 3*t^3.775 + t^4.231 + 2*t^4.45 + 3*t^4.888 + t^5.125 + 2*t^5.325 + 3*t^5.763 + 2*t^5.781 - 3*t^6. - t^4.331/y - t^4.331*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
1551 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ | 0.6808 | 0.8526 | 0.7985 | [M:[0.9426, 0.813, 0.9426, 0.813, 1.187, 0.7481], q:[0.6509, 0.4065], qb:[0.4065, 0.7806], phi:[0.4389]] | t^2.244 + 2*t^2.439 + t^2.633 + 2*t^2.828 + t^3.561 + 2*t^3.756 + t^4.294 + 3*t^4.489 + 2*t^4.683 + 4*t^4.878 + 4*t^5.072 + t^5.222 + 3*t^5.267 + 2*t^5.461 + 3*t^5.656 + t^5.806 - t^6. - t^4.317/y - t^4.317*y | detail |