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 |
|---|---|---|---|---|---|---|---|---|---|
| 56101 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6899 | 0.8698 | 0.7931 | [M:[0.8241, 1.0, 1.1759, 0.8025, 0.7469, 1.0988, 0.7253], q:[0.4012, 0.7747], qb:[0.5988, 0.4228], phi:[0.4506]] | [M:[[3], [0], [-3], [-8], [10], [4], [-1]], q:[[-4], [1]], qb:[[4], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$ | ${}$ | -1 | t^2.176 + t^2.241 + t^2.407 + t^2.472 + t^3. + t^3.065 + t^3.296 + t^3.528 + t^3.889 + t^4.12 + 2*t^4.352 + 2*t^4.417 + t^4.481 + t^4.583 + 2*t^4.648 + t^4.713 + t^4.815 + t^4.88 + 2*t^4.944 + t^5.176 + 2*t^5.241 + t^5.305 + 2*t^5.472 + 2*t^5.537 + 2*t^5.704 + 2*t^5.768 - t^6. + t^6.065 + 2*t^6.129 - t^6.232 + 2*t^6.296 + 3*t^6.361 + 2*t^6.528 + 4*t^6.593 + 2*t^6.657 + t^6.722 + t^6.759 + 2*t^6.824 + 3*t^6.889 + 2*t^6.954 + t^6.991 + t^7.056 + 2*t^7.12 + 3*t^7.185 + t^7.222 + t^7.352 + 5*t^7.417 + 3*t^7.481 + t^7.546 + 2*t^7.648 + 3*t^7.713 + 3*t^7.778 + t^7.88 + 3*t^7.944 + 4*t^8.009 + t^8.111 - 2*t^8.176 + t^8.241 + 3*t^8.305 + 2*t^8.37 - 3*t^8.407 - t^8.472 + 4*t^8.537 + 4*t^8.602 - t^8.639 + t^8.704 + 4*t^8.768 + 7*t^8.833 + 2*t^8.898 + t^8.963 - t^4.352/y - t^6.528/y - t^6.593/y - t^6.759/y + t^7.417/y + t^7.583/y + (2*t^7.648)/y + t^7.713/y + t^7.88/y + t^7.944/y + t^8.111/y + (2*t^8.176)/y + (2*t^8.241)/y + t^8.305/y + t^8.407/y + (3*t^8.472)/y + (2*t^8.537)/y + t^8.704/y + t^8.768/y - t^8.833/y - t^4.352*y - t^6.528*y - t^6.593*y - t^6.759*y + t^7.417*y + t^7.583*y + 2*t^7.648*y + t^7.713*y + t^7.88*y + t^7.944*y + t^8.111*y + 2*t^8.176*y + 2*t^8.241*y + t^8.305*y + t^8.407*y + 3*t^8.472*y + 2*t^8.537*y + t^8.704*y + t^8.768*y - t^8.833*y | t^2.176/g1 + g1^10*t^2.241 + t^2.407/g1^8 + g1^3*t^2.472 + t^3. + g1^11*t^3.065 + g1^4*t^3.296 + t^3.528/g1^3 + g1^12*t^3.889 + g1^5*t^4.12 + (2*t^4.352)/g1^2 + 2*g1^9*t^4.417 + g1^20*t^4.481 + t^4.583/g1^9 + 2*g1^2*t^4.648 + g1^13*t^4.713 + t^4.815/g1^16 + t^4.88/g1^5 + 2*g1^6*t^4.944 + t^5.176/g1 + 2*g1^10*t^5.241 + g1^21*t^5.305 + 2*g1^3*t^5.472 + 2*g1^14*t^5.537 + (2*t^5.704)/g1^4 + 2*g1^7*t^5.768 - t^6. + g1^11*t^6.065 + 2*g1^22*t^6.129 - t^6.232/g1^7 + 2*g1^4*t^6.296 + 3*g1^15*t^6.361 + (2*t^6.528)/g1^3 + 4*g1^8*t^6.593 + 2*g1^19*t^6.657 + g1^30*t^6.722 + t^6.759/g1^10 + 2*g1*t^6.824 + 3*g1^12*t^6.889 + 2*g1^23*t^6.954 + t^6.991/g1^17 + t^7.056/g1^6 + 2*g1^5*t^7.12 + 3*g1^16*t^7.185 + t^7.222/g1^24 + t^7.352/g1^2 + 5*g1^9*t^7.417 + 3*g1^20*t^7.481 + g1^31*t^7.546 + 2*g1^2*t^7.648 + 3*g1^13*t^7.713 + 3*g1^24*t^7.778 + t^7.88/g1^5 + 3*g1^6*t^7.944 + 4*g1^17*t^8.009 + t^8.111/g1^12 - (2*t^8.176)/g1 + g1^10*t^8.241 + 3*g1^21*t^8.305 + 2*g1^32*t^8.37 - (3*t^8.407)/g1^8 - g1^3*t^8.472 + 4*g1^14*t^8.537 + 4*g1^25*t^8.602 - t^8.639/g1^15 + t^8.704/g1^4 + 4*g1^7*t^8.768 + 7*g1^18*t^8.833 + 2*g1^29*t^8.898 + g1^40*t^8.963 - t^4.352/(g1^2*y) - t^6.528/(g1^3*y) - (g1^8*t^6.593)/y - t^6.759/(g1^10*y) + (g1^9*t^7.417)/y + t^7.583/(g1^9*y) + (2*g1^2*t^7.648)/y + (g1^13*t^7.713)/y + t^7.88/(g1^5*y) + (g1^6*t^7.944)/y + t^8.111/(g1^12*y) + (2*t^8.176)/(g1*y) + (2*g1^10*t^8.241)/y + (g1^21*t^8.305)/y + t^8.407/(g1^8*y) + (3*g1^3*t^8.472)/y + (2*g1^14*t^8.537)/y + t^8.704/(g1^4*y) + (g1^7*t^8.768)/y - (g1^18*t^8.833)/y - (t^4.352*y)/g1^2 - (t^6.528*y)/g1^3 - g1^8*t^6.593*y - (t^6.759*y)/g1^10 + g1^9*t^7.417*y + (t^7.583*y)/g1^9 + 2*g1^2*t^7.648*y + g1^13*t^7.713*y + (t^7.88*y)/g1^5 + g1^6*t^7.944*y + (t^8.111*y)/g1^12 + (2*t^8.176*y)/g1 + 2*g1^10*t^8.241*y + g1^21*t^8.305*y + (t^8.407*y)/g1^8 + 3*g1^3*t^8.472*y + 2*g1^14*t^8.537*y + (t^8.704*y)/g1^4 + g1^7*t^8.768*y - g1^18*t^8.833*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 |
|---|---|---|---|---|---|---|---|---|
| 58253 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7104 | 0.9088 | 0.7817 | [M:[0.8265, 1.0, 1.1735, 0.7961, 0.7549, 1.102, 0.7245, 0.6941], q:[0.398, 0.7755], qb:[0.602, 0.4284], phi:[0.449]] | t^2.082 + t^2.174 + t^2.265 + t^2.388 + t^2.479 + t^3. + t^3.091 + t^3.306 + t^3.521 + t^4.132 + t^4.165 + t^4.256 + 3*t^4.347 + 2*t^4.438 + t^4.471 + t^4.529 + 2*t^4.562 + 2*t^4.653 + t^4.744 + t^4.777 + t^4.868 + 2*t^4.959 + t^5.082 + 2*t^5.174 + 2*t^5.265 + t^5.356 + t^5.388 + 2*t^5.479 + 2*t^5.571 + t^5.603 + 2*t^5.694 + 2*t^5.785 - t^6. - t^4.347/y - t^4.347*y | detail | |
| 58252 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6942 | 0.8744 | 0.7939 | [M:[0.8376, 1.0, 1.1624, 0.7665, 0.7919, 1.1168, 0.7208, 0.9289], q:[0.3832, 0.7792], qb:[0.6168, 0.4543], phi:[0.4416]] | t^2.162 + t^2.299 + t^2.376 + t^2.513 + t^2.787 + t^3. + t^3.35 + t^3.487 + t^4.051 + t^4.188 + 2*t^4.325 + t^4.462 + 2*t^4.538 + t^4.599 + 2*t^4.675 + t^4.752 + t^4.812 + t^4.888 + t^4.949 + 2*t^5.025 + t^5.086 + 2*t^5.162 + t^5.299 + t^5.376 + t^5.513 + t^5.573 + 2*t^5.65 + t^5.726 + t^5.787 + 2*t^5.863 - t^6. - t^4.325/y - t^4.325*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 |
|---|---|---|---|---|---|---|---|---|---|
| 50834 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6699 | 0.8329 | 0.8044 | [M:[0.8237, 1.0, 1.1763, 0.8036, 0.7455, 1.0982], q:[0.4018, 0.7746], qb:[0.5982, 0.4219], phi:[0.4509]] | t^2.237 + t^2.411 + t^2.471 + t^3. + t^3.06 + t^3.295 + t^3.529 + t^3.824 + t^3.884 + t^4.118 + t^4.353 + t^4.413 + t^4.473 + t^4.647 + t^4.708 + t^4.821 + t^4.882 + 2*t^4.942 + t^5.237 + t^5.297 + t^5.471 + 2*t^5.531 + t^5.705 + 2*t^5.766 - t^6. - t^4.353/y - t^4.353*y | detail |