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 |
|---|---|---|---|---|---|---|---|---|---|
| 1324 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{5}M_{7}$ | 0.7019 | 0.853 | 0.8229 | [M:[1.0, 1.0554, 0.8892, 1.0, 0.8892, 1.0, 1.1108], q:[0.5, 0.5], qb:[0.5, 0.6108], phi:[0.4723]] | [M:[[0, 0], [0, 2], [0, -4], [1, 0], [-1, -4], [-1, 0], [1, 4]], q:[[-1, 0], [1, 0]], qb:[[0, 0], [0, 4]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$ | ${}M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{7}$ | -2 | t^2.668 + 3*t^3. + t^3.166 + 2*t^3.332 + 6*t^4.417 + 3*t^4.749 + t^5.082 + t^5.335 + t^5.834 - 2*t^6. + 3*t^6.166 + 3*t^6.332 + 2*t^6.499 + 3*t^6.665 + 3*t^7.084 + 9*t^7.417 + 10*t^7.749 + t^8.003 + 6*t^8.082 + t^8.335 + 2*t^8.414 + t^8.501 - 7*t^8.668 + 15*t^8.834 - t^4.417/y - t^7.084/y + t^7.749/y + (3*t^8.668)/y + t^8.834/y - t^4.417*y - t^7.084*y + t^7.749*y + 3*t^8.668*y + t^8.834*y | t^2.668/g2^4 + t^3. + t^3./g1 + g1*t^3. + g2^2*t^3.166 + (g2^4*t^3.332)/g1 + g1*g2^4*t^3.332 + (2*t^4.417)/g2 + t^4.417/(g1^2*g2) + t^4.417/(g1*g2) + (g1*t^4.417)/g2 + (g1^2*t^4.417)/g2 + g2^3*t^4.749 + (g2^3*t^4.749)/g1 + g1*g2^3*t^4.749 + g2^7*t^5.082 + t^5.335/g2^8 + t^5.834/g2^2 - 2*t^6. + g2^2*t^6.166 + (g2^2*t^6.166)/g1 + g1*g2^2*t^6.166 + g2^4*t^6.332 + (g2^4*t^6.332)/g1^2 + g1^2*g2^4*t^6.332 + (g2^6*t^6.499)/g1 + g1*g2^6*t^6.499 + g2^8*t^6.665 + (g2^8*t^6.665)/g1^2 + g1^2*g2^8*t^6.665 + t^7.084/g2^5 + t^7.084/(g1^2*g2^5) + (g1^2*t^7.084)/g2^5 + t^7.417/g2 + t^7.417/(g1^3*g2) + t^7.417/(g1^2*g2) + (2*t^7.417)/(g1*g2) + (2*g1*t^7.417)/g2 + (g1^2*t^7.417)/g2 + (g1^3*t^7.417)/g2 + 2*g2^3*t^7.749 + (g2^3*t^7.749)/g1^3 + (g2^3*t^7.749)/g1^2 + (2*g2^3*t^7.749)/g1 + 2*g1*g2^3*t^7.749 + g1^2*g2^3*t^7.749 + g1^3*g2^3*t^7.749 + t^8.003/g2^12 + 2*g2^7*t^8.082 + (g2^7*t^8.082)/g1^2 + (g2^7*t^8.082)/g1 + g1*g2^7*t^8.082 + g1^2*g2^7*t^8.082 + t^8.335/g2^8 + (g2^11*t^8.414)/g1 + g1*g2^11*t^8.414 + t^8.501/g2^6 - (3*t^8.668)/g2^4 - t^8.668/(g1^2*g2^4) - t^8.668/(g1*g2^4) - (g1*t^8.668)/g2^4 - (g1^2*t^8.668)/g2^4 + (3*t^8.834)/g2^2 + t^8.834/(g1^4*g2^2) + t^8.834/(g1^3*g2^2) + (2*t^8.834)/(g1^2*g2^2) + (2*t^8.834)/(g1*g2^2) + (2*g1*t^8.834)/g2^2 + (2*g1^2*t^8.834)/g2^2 + (g1^3*t^8.834)/g2^2 + (g1^4*t^8.834)/g2^2 - t^4.417/(g2*y) - t^7.084/(g2^5*y) + (g2^3*t^7.749)/y + t^8.668/(g2^4*y) + t^8.668/(g1*g2^4*y) + (g1*t^8.668)/(g2^4*y) + t^8.834/(g2^2*y) - (t^4.417*y)/g2 - (t^7.084*y)/g2^5 + g2^3*t^7.749*y + (t^8.668*y)/g2^4 + (t^8.668*y)/(g1*g2^4) + (g1*t^8.668*y)/g2^4 + (t^8.834*y)/g2^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2379 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.588 | 0.742 | 0.7924 | [M:[1.0, 1.0237, 0.9526, 1.2559, 0.6967, 0.7441, 1.3033], q:[0.2441, 0.7559], qb:[0.5, 0.5474], phi:[0.4882]] | t^2.232 + t^2.374 + t^2.858 + t^2.929 + t^3. + t^3.071 + t^3.697 + t^3.768 + t^3.839 + t^3.91 + 2*t^4.464 + 2*t^4.607 + 2*t^4.749 + t^5.161 + t^5.232 + 2*t^5.303 + t^5.374 + t^5.445 + t^5.716 + t^5.787 + t^5.858 + 2*t^5.929 - t^6. - t^4.464/y - t^4.464*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 |
|---|---|---|---|---|---|---|---|---|---|
| 834 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ | 0.7146 | 0.8745 | 0.8171 | [M:[1.0, 1.0767, 0.8466, 1.0202, 0.8264, 0.9798], q:[0.4798, 0.5202], qb:[0.5, 0.6534], phi:[0.4617]] | t^2.479 + t^2.54 + t^2.939 + t^3. + t^3.061 + t^3.23 + t^3.399 + t^4.264 + t^4.324 + 2*t^4.385 + t^4.446 + t^4.506 + t^4.784 + t^4.845 + t^4.906 + t^4.958 + t^5.019 + t^5.08 + t^5.305 + t^5.418 + t^5.479 + t^5.54 + t^5.709 + t^5.77 + t^5.879 - 2*t^6. - t^4.385/y - t^4.385*y | detail |