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 |
|---|---|---|---|---|---|---|---|---|---|
| 4810 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ | 0.6898 | 0.8697 | 0.7931 | [M:[0.9774, 0.7803, 0.9281, 0.8296, 1.1704, 0.731, 0.6818, 1.2197], q:[0.6325, 0.3901], qb:[0.4394, 0.7803], phi:[0.4394]] | [M:[[-18], [2], [-13], [-3], [3], [7], [12], [-2]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{8}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{7}M_{8}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{6}M_{8}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$ | ${}$ | -2 | t^2.045 + t^2.193 + t^2.489 + t^2.636 + t^2.784 + t^2.932 + t^3.511 + 2*t^3.659 + t^4.091 + 2*t^4.238 + 2*t^4.386 + 2*t^4.534 + 2*t^4.682 + 2*t^4.83 + 3*t^4.977 + t^5.113 + 2*t^5.125 + t^5.273 + t^5.421 + t^5.557 + 2*t^5.569 + 3*t^5.704 + t^5.716 + t^5.852 + t^5.864 - 2*t^6. + t^6.136 + t^6.148 + 2*t^6.284 + 2*t^6.296 + 3*t^6.431 + 2*t^6.443 + 3*t^6.579 + t^6.591 + 2*t^6.727 - t^6.739 + 3*t^6.875 + 5*t^7.023 + t^7.159 + 6*t^7.17 + t^7.306 + 4*t^7.318 + 2*t^7.466 + t^7.602 + 3*t^7.614 + 4*t^7.75 + 4*t^7.762 + 3*t^7.898 + 3*t^7.909 + 2*t^8.057 + t^8.181 - 2*t^8.193 + 2*t^8.205 + 2*t^8.329 + 2*t^8.353 + 3*t^8.477 + t^8.489 + 2*t^8.501 + 5*t^8.625 + t^8.648 + 5*t^8.772 - 3*t^8.784 + t^8.796 + 2*t^8.92 - 3*t^8.932 - t^4.318/y - t^6.364/y - t^6.511/y - t^6.955/y - t^7.102/y + t^7.238/y - t^7.25/y + t^7.386/y + (2*t^7.534)/y + (3*t^7.682)/y + (2*t^7.83)/y + (2*t^7.977)/y + (3*t^8.125)/y + (2*t^8.273)/y - t^8.409/y + (2*t^8.421)/y + t^8.569/y + (2*t^8.704)/y + t^8.716/y + (2*t^8.852)/y - t^4.318*y - t^6.364*y - t^6.511*y - t^6.955*y - t^7.102*y + t^7.238*y - t^7.25*y + t^7.386*y + 2*t^7.534*y + 3*t^7.682*y + 2*t^7.83*y + 2*t^7.977*y + 3*t^8.125*y + 2*t^8.273*y - t^8.409*y + 2*t^8.421*y + t^8.569*y + 2*t^8.704*y + t^8.716*y + 2*t^8.852*y | g1^12*t^2.045 + g1^7*t^2.193 + t^2.489/g1^3 + t^2.636/g1^8 + t^2.784/g1^13 + t^2.932/g1^18 + g1^3*t^3.511 + (2*t^3.659)/g1^2 + g1^24*t^4.091 + 2*g1^19*t^4.238 + 2*g1^14*t^4.386 + 2*g1^9*t^4.534 + 2*g1^4*t^4.682 + (2*t^4.83)/g1 + (3*t^4.977)/g1^6 + g1^30*t^5.113 + (2*t^5.125)/g1^11 + t^5.273/g1^16 + t^5.421/g1^21 + g1^15*t^5.557 + (2*t^5.569)/g1^26 + 3*g1^10*t^5.704 + t^5.716/g1^31 + g1^5*t^5.852 + t^5.864/g1^36 - 2*t^6. + g1^36*t^6.136 + t^6.148/g1^5 + 2*g1^31*t^6.284 + (2*t^6.296)/g1^10 + 3*g1^26*t^6.431 + (2*t^6.443)/g1^15 + 3*g1^21*t^6.579 + t^6.591/g1^20 + 2*g1^16*t^6.727 - t^6.739/g1^25 + 3*g1^11*t^6.875 + 5*g1^6*t^7.023 + g1^42*t^7.159 + 6*g1*t^7.17 + g1^37*t^7.306 + (4*t^7.318)/g1^4 + (2*t^7.466)/g1^9 + g1^27*t^7.602 + (3*t^7.614)/g1^14 + 4*g1^22*t^7.75 + (4*t^7.762)/g1^19 + 3*g1^17*t^7.898 + (3*t^7.909)/g1^24 + (2*t^8.057)/g1^29 + g1^48*t^8.181 - 2*g1^7*t^8.193 + (2*t^8.205)/g1^34 + 2*g1^43*t^8.329 + (2*t^8.353)/g1^39 + 3*g1^38*t^8.477 + t^8.489/g1^3 + (2*t^8.501)/g1^44 + 5*g1^33*t^8.625 + t^8.648/g1^49 + 5*g1^28*t^8.772 - (3*t^8.784)/g1^13 + t^8.796/g1^54 + 2*g1^23*t^8.92 - (3*t^8.932)/g1^18 - t^4.318/(g1^4*y) - (g1^8*t^6.364)/y - (g1^3*t^6.511)/y - t^6.955/(g1^12*y) - t^7.102/(g1^17*y) + (g1^19*t^7.238)/y - t^7.25/(g1^22*y) + (g1^14*t^7.386)/y + (2*g1^9*t^7.534)/y + (3*g1^4*t^7.682)/y + (2*t^7.83)/(g1*y) + (2*t^7.977)/(g1^6*y) + (3*t^8.125)/(g1^11*y) + (2*t^8.273)/(g1^16*y) - (g1^20*t^8.409)/y + (2*t^8.421)/(g1^21*y) + t^8.569/(g1^26*y) + (2*g1^10*t^8.704)/y + t^8.716/(g1^31*y) + (2*g1^5*t^8.852)/y - (t^4.318*y)/g1^4 - g1^8*t^6.364*y - g1^3*t^6.511*y - (t^6.955*y)/g1^12 - (t^7.102*y)/g1^17 + g1^19*t^7.238*y - (t^7.25*y)/g1^22 + g1^14*t^7.386*y + 2*g1^9*t^7.534*y + 3*g1^4*t^7.682*y + (2*t^7.83*y)/g1 + (2*t^7.977*y)/g1^6 + (3*t^8.125*y)/g1^11 + (2*t^8.273*y)/g1^16 - g1^20*t^8.409*y + (2*t^8.421*y)/g1^21 + (t^8.569*y)/g1^26 + 2*g1^10*t^8.704*y + (t^8.716*y)/g1^31 + 2*g1^5*t^8.852*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 |
|---|---|---|---|---|---|---|---|---|
| 6438 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ + ${ }M_{5}M_{9}$ | 0.7044 | 0.8949 | 0.7872 | [M:[0.9708, 0.781, 0.9234, 0.8285, 1.1715, 0.7336, 0.6861, 1.219, 0.8285], q:[0.6387, 0.3905], qb:[0.438, 0.781], phi:[0.438]] | t^2.058 + t^2.201 + 2*t^2.485 + t^2.628 + t^2.77 + t^2.912 + 2*t^3.657 + t^4.117 + 2*t^4.259 + 2*t^4.401 + 3*t^4.544 + 3*t^4.686 + 2*t^4.828 + 5*t^4.971 + 3*t^5.113 + t^5.146 + 2*t^5.256 + 2*t^5.398 + 2*t^5.54 + t^5.683 + 2*t^5.715 + t^5.825 + t^5.858 - 3*t^6. - t^4.314/y - t^4.314*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2665 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7074 | 0.9012 | 0.785 | [M:[0.9807, 0.7799, 0.9305, 0.8301, 1.1699, 0.7297, 0.6795], q:[0.6294, 0.39], qb:[0.4402, 0.7799], phi:[0.4402]] | t^2.039 + t^2.189 + t^2.34 + t^2.49 + t^2.641 + t^2.791 + t^2.942 + t^3.51 + t^3.66 + t^4.077 + 2*t^4.228 + 3*t^4.378 + 3*t^4.529 + 3*t^4.68 + 3*t^4.83 + 4*t^4.981 + t^5.097 + 3*t^5.131 + 2*t^5.282 + t^5.432 + t^5.548 + 2*t^5.583 + 2*t^5.699 + t^5.734 + t^5.849 + t^5.884 - t^6. - t^4.32/y - t^4.32*y | detail |