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 |
---|---|---|---|---|---|---|---|---|---|
55125 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{5}M_{6}$ | 0.6581 | 0.8113 | 0.8112 | [M:[1.1829, 0.9884, 0.8171, 0.8171, 0.7315, 1.2685], q:[0.4086, 0.4086], qb:[0.6031, 0.7743], phi:[0.4514]] | [M:[[2], [-22], [-2], [-2], [8], [-8]], q:[[-1], [-1]], qb:[[23], [3]], phi:[[-6]]] | 1 | {a: 781921/1188100, c: 963951/1188100, M1: 1934/1635, M2: 1616/1635, M3: 1336/1635, M4: 1336/1635, M5: 1196/1635, M6: 2074/1635, q1: 668/1635, q2: 668/1635, qb1: 986/1635, qb2: 422/545, phi1: 246/545} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$ | ${}M_{1}M_{4}$, ${ }M_{2}q_{2}\tilde{q}_{1}$ | -2 | 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^6.07 + 5*t^6.257 + 3*t^6.514 + t^6.771 + 5*t^6.84 - t^7.097 + t^7.167 + 3*t^7.354 + 3*t^7.424 + 8*t^7.611 + t^7.868 + 3*t^7.938 + t^8.007 + t^8.125 + 4*t^8.194 + 2*t^8.382 - 6*t^8.451 + 3*t^8.521 + t^8.639 + 3*t^8.708 + 3*t^8.778 + t^8.895 + 2*t^8.965 - t^4.354/y - t^6.806/y - t^7.062/y - t^7.319/y + t^7.389/y + t^7.646/y + (2*t^7.903)/y + (2*t^8.16)/y + (2*t^8.417)/y + (2*t^8.486)/y + t^8.673/y + t^8.743/y - t^4.354*y - t^6.806*y - t^7.062*y - t^7.319*y + t^7.389*y + t^7.646*y + 2*t^7.903*y + 2*t^8.16*y + 2*t^8.417*y + 2*t^8.486*y + t^8.673*y + t^8.743*y | (2*t^2.451)/g1^2 + t^2.708/g1^12 + t^2.965/g1^22 + g1^22*t^3.035 + g1^2*t^3.549 + (3*t^3.806)/g1^8 + g1^26*t^4.132 + 2*g1^16*t^4.389 + (3*t^4.903)/g1^4 + g1^40*t^4.972 + (2*t^5.16)/g1^14 + t^5.417/g1^24 + 2*g1^20*t^5.486 + t^5.673/g1^34 + g1^10*t^5.743 + t^5.93/g1^44 - 2*t^6. + g1^44*t^6.07 + (5*t^6.257)/g1^10 + (3*t^6.514)/g1^20 + t^6.771/g1^30 + 5*g1^14*t^6.84 - g1^4*t^7.097 + g1^48*t^7.167 + (3*t^7.354)/g1^6 + 3*g1^38*t^7.424 + (8*t^7.611)/g1^16 + t^7.868/g1^26 + 3*g1^18*t^7.938 + g1^62*t^8.007 + t^8.125/g1^36 + 4*g1^8*t^8.194 + (2*t^8.382)/g1^46 - (6*t^8.451)/g1^2 + 3*g1^42*t^8.521 + t^8.639/g1^56 + (3*t^8.708)/g1^12 + 3*g1^32*t^8.778 + t^8.895/g1^66 + (2*t^8.965)/g1^22 - t^4.354/(g1^6*y) - t^6.806/(g1^8*y) - t^7.062/(g1^18*y) - t^7.319/(g1^28*y) + (g1^16*t^7.389)/y + (g1^6*t^7.646)/y + (2*t^7.903)/(g1^4*y) + (2*t^8.16)/(g1^14*y) + (2*t^8.417)/(g1^24*y) + (2*g1^20*t^8.486)/y + t^8.673/(g1^34*y) + (g1^10*t^8.743)/y - (t^4.354*y)/g1^6 - (t^6.806*y)/g1^8 - (t^7.062*y)/g1^18 - (t^7.319*y)/g1^28 + g1^16*t^7.389*y + g1^6*t^7.646*y + (2*t^7.903*y)/g1^4 + (2*t^8.16*y)/g1^14 + (2*t^8.417*y)/g1^24 + 2*g1^20*t^8.486*y + (t^8.673*y)/g1^34 + g1^10*t^8.743*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 |
---|---|---|---|---|---|---|---|---|
56798 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{7}$ | 0.6736 | 0.8382 | 0.8036 | [M:[1.1832, 0.9849, 0.8168, 0.8168, 0.7328, 1.2672, 0.8168], q:[0.4084, 0.4084], qb:[0.6067, 0.7748], phi:[0.4504]] | 3*t^2.45 + t^2.703 + t^2.955 + t^3.045 + 3*t^3.802 + t^4.144 + 2*t^4.397 + 6*t^4.901 + t^4.991 + 3*t^5.153 + 2*t^5.405 + 3*t^5.496 + t^5.657 + t^5.748 + t^5.909 - 4*t^6. - t^4.351/y - t^4.351*y | detail | {a: 21580571/32039472, c: 13427153/16019736, M1: 2900/2451, M2: 2414/2451, M3: 2002/2451, M4: 2002/2451, M5: 1796/2451, M6: 3106/2451, M7: 2002/2451, q1: 1001/2451, q2: 1001/2451, qb1: 1487/2451, qb2: 633/817, phi1: 368/817} |
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 |
---|---|---|---|---|---|---|---|---|---|
47041 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.6779 | 0.8482 | 0.7993 | [M:[1.1823, 0.9951, 0.8177, 0.8177, 0.7291], q:[0.4089, 0.4089], qb:[0.596, 0.7734], phi:[0.4532]] | t^2.187 + 2*t^2.453 + t^2.719 + t^2.985 + t^3.015 + t^3.547 + 2*t^3.813 + t^4.108 + 3*t^4.374 + 2*t^4.64 + 4*t^4.906 + t^4.936 + 3*t^5.172 + t^5.202 + t^5.438 + 2*t^5.468 + t^5.705 + 2*t^5.734 + t^5.971 - t^4.36/y - t^4.36*y | detail | {a: 93927043/138556848, c: 58758829/69278424, M1: 6026/5097, M2: 5072/5097, M3: 4168/5097, M4: 4168/5097, M5: 3716/5097, q1: 2084/5097, q2: 2084/5097, qb1: 3038/5097, qb2: 1314/1699, phi1: 770/1699} |