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 |
|---|---|---|---|---|---|---|---|---|---|
| 47885 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 1.4561 | 1.6383 | 0.8888 | [X:[1.3617], M:[0.9574, 0.9574], q:[0.5213, 0.5213], qb:[0.5213, 0.5213], phi:[0.3191]] | [X:[[0, 0, 0, 2]], M:[[1, 0, 1, -6], [-1, 0, -1, 0]], q:[[-1, -1, -1, 6], [1, 0, 0, 0]], qb:[[0, 1, 0, 0], [0, 0, 1, 0]], phi:[[0, 0, 0, -1]]] | 4 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{6}$, ${ }M_{2}\phi_{1}^{3}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | -2 | 3*t^2.872 + 2*t^3.128 + 5*t^4.085 + 4*t^5.043 + 4*t^5.649 + 6*t^5.744 - 2*t^6. + 3*t^6.256 + 4*t^6.607 + 8*t^6.957 + 10*t^7.213 + 4*t^7.564 + 6*t^7.915 + 18*t^8.17 - 4*t^8.521 + 10*t^8.616 + 8*t^8.777 - 7*t^8.872 + t^8.872/y^2 - t^3.957/y - t^4.915/y - (3*t^6.83)/y - (2*t^7.085)/y - (3*t^7.787)/y - (2*t^8.043)/y + (3*t^8.744)/y - t^3.957*y - t^4.915*y - 3*t^6.83*y - 2*t^7.085*y - 3*t^7.787*y - 2*t^8.043*y + 3*t^8.744*y + t^8.872*y^2 | t^2.872/(g1*g3) + (g1*g3*t^2.872)/g4^6 + t^2.872/g4^3 + g1*g2*t^3.128 + (g4^6*t^3.128)/(g1*g2) + (g1*g2*t^4.085)/g4 + (g1*g3*t^4.085)/g4 + g4^2*t^4.085 + (g4^5*t^4.085)/(g1*g2) + (g4^5*t^4.085)/(g1*g3) + (g1*g2*t^5.043)/g4^2 + (g1*g3*t^5.043)/g4^2 + (g4^4*t^5.043)/(g1*g2) + (g4^4*t^5.043)/(g1*g3) + (g2^2*g3*t^5.649)/g4 + (g2*g3^2*t^5.649)/g4 + (g1*g4^5*t^5.649)/(g2*g3) + (g4^11*t^5.649)/(g1*g2^2*g3^2) + t^5.744/(g1^2*g3^2) + (g1^2*g3^2*t^5.744)/g4^12 + (g1*g3*t^5.744)/g4^9 + (2*t^5.744)/g4^6 + t^5.744/(g1*g3*g4^3) - 4*t^6. + (g1*g2*t^6.)/g4^3 + (g4^3*t^6.)/(g1*g2) + g1^2*g2^2*t^6.256 + g4^6*t^6.256 + (g4^12*t^6.256)/(g1^2*g2^2) + (g2^2*g3*t^6.607)/g4^2 + (g2*g3^2*t^6.607)/g4^2 + (g1*g4^4*t^6.607)/(g2*g3) + (g4^10*t^6.607)/(g1*g2^2*g3^2) + (g1^2*g3^2*t^6.957)/g4^7 + (g1*g2*t^6.957)/g4^4 + (2*g1*g3*t^6.957)/g4^4 + (g4^2*t^6.957)/(g1*g2) + (2*g4^2*t^6.957)/(g1*g3) + (g4^5*t^6.957)/(g1^2*g3^2) + (g1^2*g2^2*t^7.213)/g4 + (g1^2*g2*g3*t^7.213)/g4 + g1*g2*g4^2*t^7.213 + 2*g4^5*t^7.213 + (g2*g4^5*t^7.213)/g3 + (g3*g4^5*t^7.213)/g2 + (g4^8*t^7.213)/(g1*g2) + (g4^11*t^7.213)/(g1^2*g2^2) + (g4^11*t^7.213)/(g1^2*g2*g3) - (g2*g3*t^7.564)/g1 - (g1*g2^2*g3^2*t^7.564)/g4^6 + (g1^3*t^7.564)/g4^3 + (g2^3*t^7.564)/g4^3 + (g2^2*g3*t^7.564)/g4^3 + (g2*g3^2*t^7.564)/g4^3 + (g3^3*t^7.564)/g4^3 + (g1*g4^3*t^7.564)/(g2*g3) - (g4^6*t^7.564)/(g2*g3^2) - (g4^6*t^7.564)/(g2^2*g3) + (g4^9*t^7.564)/(g1*g2^2*g3^2) + (g4^15*t^7.564)/(g1^3*g2^3*g3^3) + (g1^2*g3^2*t^7.915)/g4^8 + (g1*g2*t^7.915)/g4^5 + (g1*g3*t^7.915)/g4^5 + (g4*t^7.915)/(g1*g2) + (g4*t^7.915)/(g1*g3) + (g4^4*t^7.915)/(g1^2*g3^2) + (2*g1^2*g2^2*t^8.17)/g4^2 + (2*g1^2*g2*g3*t^8.17)/g4^2 + (g1^2*g3^2*t^8.17)/g4^2 + 4*g4^4*t^8.17 + (2*g2*g4^4*t^8.17)/g3 + (2*g3*g4^4*t^8.17)/g2 + (2*g4^10*t^8.17)/(g1^2*g2^2) + (g4^10*t^8.17)/(g1^2*g3^2) + (2*g4^10*t^8.17)/(g1^2*g2*g3) - (g1*g2^3*g3*t^8.521)/g4^7 - (g1*g2^2*g3^2*t^8.521)/g4^7 + (g2^2*g3*t^8.521)/g4^4 + (g2*g3^2*t^8.521)/g4^4 - (g1^2*t^8.521)/(g3*g4) - (g2*g3*t^8.521)/(g1*g4) - (g3^2*t^8.521)/(g1*g4) + (g1*g4^2*t^8.521)/(g2*g3) - (g4^5*t^8.521)/(g2*g3^2) - (g4^5*t^8.521)/(g2^2*g3) + (g4^8*t^8.521)/(g1*g2^2*g3^2) - (g4^11*t^8.521)/(g1^2*g2^3*g3^2) + t^8.616/(g1^3*g3^3) + (g1^3*g3^3*t^8.616)/g4^18 + (g1^2*g3^2*t^8.616)/g4^15 + (2*g1*g3*t^8.616)/g4^12 + (2*t^8.616)/g4^9 + (2*t^8.616)/(g1*g3*g4^6) + t^8.616/(g1^2*g3^2*g4^3) + (g1*g2^3*g3*t^8.777)/g4 + (g1*g2^2*g3^2*t^8.777)/g4 + (g1^2*g4^5*t^8.777)/g3 + (g2*g3*g4^5*t^8.777)/g1 + (g3^2*g4^5*t^8.777)/g1 + (g4^11*t^8.777)/(g2*g3^2) + (g4^11*t^8.777)/(g2^2*g3) + (g4^17*t^8.777)/(g1^2*g2^3*g3^2) + t^8.872/(g1*g2) - (3*t^8.872)/(g1*g3) + (g1*g2*t^8.872)/g4^6 - (3*g1*g3*t^8.872)/g4^6 - (3*t^8.872)/g4^3 + t^8.872/(g4^3*y^2) - t^3.957/(g4*y) - t^4.915/(g4^2*y) - (g1*g3*t^6.83)/(g4^7*y) - t^6.83/(g4^4*y) - t^6.83/(g1*g3*g4*y) - (g1*g2*t^7.085)/(g4*y) - (g4^5*t^7.085)/(g1*g2*y) - (g1*g3*t^7.787)/(g4^8*y) - t^7.787/(g4^5*y) - t^7.787/(g1*g3*g4^2*y) - (g1*g2*t^8.043)/(g4^2*y) - (g4^4*t^8.043)/(g1*g2*y) + (g1*g3*t^8.744)/(g4^9*y) + t^8.744/(g4^6*y) + t^8.744/(g1*g3*g4^3*y) - (t^3.957*y)/g4 - (t^4.915*y)/g4^2 - (g1*g3*t^6.83*y)/g4^7 - (t^6.83*y)/g4^4 - (t^6.83*y)/(g1*g3*g4) - (g1*g2*t^7.085*y)/g4 - (g4^5*t^7.085*y)/(g1*g2) - (g1*g3*t^7.787*y)/g4^8 - (t^7.787*y)/g4^5 - (t^7.787*y)/(g1*g3*g4^2) - (g1*g2*t^8.043*y)/g4^2 - (g4^4*t^8.043*y)/(g1*g2) + (g1*g3*t^8.744*y)/g4^9 + (t^8.744*y)/g4^6 + (t^8.744*y)/(g1*g3*g4^3) + (t^8.872*y^2)/g4^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57311 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4539 | 1.6401 | 0.8865 | [X:[1.3403], M:[1.0104, 0.9687], q:[0.4948, 0.5157], qb:[0.4948, 0.5157], phi:[0.3299]] | t^2.906 + t^2.969 + 3*t^3.031 + t^3.958 + 3*t^4.021 + t^4.084 + t^4.948 + 2*t^5.01 + t^5.073 + 2*t^5.505 + 2*t^5.568 + t^5.812 + t^5.875 + 2*t^5.937 - t^6. - t^3.99/y - t^4.979/y - t^3.99*y - t^4.979*y | detail | |
| 57314 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{3}$ | 1.4535 | 1.6383 | 0.8872 | [X:[1.3429], M:[0.9857, 0.9857, 1.0143], q:[0.5072, 0.5072], qb:[0.5072, 0.5072], phi:[0.3286]] | 2*t^2.957 + 3*t^3.043 + 5*t^4.029 + 4*t^5.014 + 4*t^5.55 + 3*t^5.914 - 2*t^6. - t^3.986/y - t^4.971/y - t^3.986*y - t^4.971*y | detail | |
| 57315 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ | 1.463 | 1.6484 | 0.8875 | [X:[1.379], M:[0.9315, 0.9315, 0.8956], q:[0.5163, 0.5522], qb:[0.5522, 0.5163], phi:[0.3105]] | t^2.687 + 3*t^2.794 + t^3.098 + t^4.029 + 3*t^4.137 + t^4.245 + t^4.961 + 2*t^5.069 + t^5.176 + t^5.374 + 3*t^5.481 + 6*t^5.589 + 2*t^5.686 + t^5.785 + 2*t^5.794 + t^5.892 - 4*t^6. - t^3.931/y - t^4.863/y - t^3.931*y - t^4.863*y | detail | |
| 57291 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ | 1.1512 | 1.3023 | 0.8839 | [X:[1.5271], M:[0.7093, 0.7093], q:[0.4089, 0.8818], qb:[0.8818, 0.4089], phi:[0.2364]] | 3*t^2.128 + t^2.454 + t^3.163 + t^3.872 + 6*t^4.256 + 4*t^4.581 + t^4.907 + 4*t^5.291 + t^5.616 + 4*t^5.808 - 2*t^6. - t^3.709/y - t^4.419/y - (3*t^5.837)/y - t^3.709*y - t^4.419*y - 3*t^5.837*y | detail | |
| 57307 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4518 | 1.6306 | 0.8903 | [X:[1.3795], M:[0.9159, 0.9457], q:[0.5105, 0.5119], qb:[0.5736, 0.5425], phi:[0.3103]] | t^2.748 + t^2.792 + t^2.837 + t^3.159 + t^3.256 + t^4.09 + t^4.094 + t^4.138 + t^4.183 + t^4.187 + t^5.02 + t^5.025 + t^5.114 + t^5.118 + t^5.495 + t^5.529 + t^5.533 + t^5.54 + 2*t^5.585 + t^5.629 + t^5.674 + t^5.906 + t^5.951 - 3*t^6. - t^3.931/y - t^4.862/y - t^3.931*y - t^4.862*y | detail | |
| 57303 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 1.3509 | 1.5213 | 0.888 | [X:[1.4242], M:[0.8636, 0.8636], q:[0.4242, 0.7121], qb:[0.7121, 0.4242], phi:[0.2879]] | t^2.545 + 3*t^2.591 + t^3.409 + 5*t^4.273 + t^5.091 + 4*t^5.136 + 6*t^5.182 + 2*t^5.545 + t^5.955 - 2*t^6. - t^3.864/y - t^4.727/y - t^3.864*y - t^4.727*y | detail | {a: 951/704, c: 1071/704, X1: 47/33, M1: 19/22, M2: 19/22, q1: 14/33, q2: 47/66, qb1: 47/66, qb2: 14/33, phi1: 19/66} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47868 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4552 | 1.6423 | 0.8861 | [X:[1.3428], M:[0.9491], q:[0.5255, 0.4888], qb:[0.5255, 0.4888], phi:[0.3286]] | t^2.847 + t^2.933 + t^2.957 + 2*t^3.043 + t^3.918 + 3*t^4.028 + t^4.139 + t^4.904 + 2*t^5.014 + t^5.124 + 2*t^5.495 + 2*t^5.605 + t^5.695 + t^5.78 + t^5.805 + t^5.865 + t^5.89 + t^5.915 + 2*t^5.975 - 2*t^6. - t^3.986/y - t^4.972/y - t^3.986*y - t^4.972*y | detail |