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 |
|---|---|---|---|---|---|---|---|---|---|
| 1562 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}^{2}$ | 0.5908 | 0.7459 | 0.7921 | [M:[0.9267, 1.0, 1.1859, 0.7408, 1.2592, 0.8141], q:[0.5733, 0.5], qb:[0.2408, 0.7592], phi:[0.4817]] | [M:[[-8], [0], [-7], [-1], [1], [7]], q:[[8], [0]], qb:[[-1], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | t^2.223 + t^2.442 + t^2.78 + 2*t^2.89 + t^3. + t^3.668 + t^3.777 + t^3.887 + t^3.997 + 2*t^4.445 + 2*t^4.665 + 2*t^4.885 + 2*t^5.113 + t^5.223 + 2*t^5.332 + t^5.442 + t^5.56 + 2*t^5.67 + 3*t^5.78 + 2*t^5.89 - 2*t^6. + t^6.11 + t^6.33 + t^6.44 + 2*t^6.558 + 3*t^6.668 + t^6.777 + 3*t^6.887 - t^6.997 + 2*t^7.107 + 2*t^7.327 + 4*t^7.335 + 2*t^7.555 + 2*t^7.665 + 4*t^7.775 + 2*t^7.885 + 2*t^8.003 + 3*t^8.113 + 2*t^8.332 + t^8.341 - 3*t^8.442 + 2*t^8.451 + t^8.552 + 4*t^8.56 + t^8.662 + 3*t^8.67 + 2*t^8.772 + 2*t^8.882 - 4*t^8.89 - t^4.445/y - t^7.225/y - t^7.335/y + t^7.555/y + (2*t^7.665)/y + t^8.003/y + (2*t^8.113)/y + (2*t^8.223)/y + (2*t^8.332)/y + t^8.442/y + (2*t^8.67)/y + (2*t^8.78)/y + (3*t^8.89)/y - t^4.445*y - t^7.225*y - t^7.335*y + t^7.555*y + 2*t^7.665*y + t^8.003*y + 2*t^8.113*y + 2*t^8.223*y + 2*t^8.332*y + t^8.442*y + 2*t^8.67*y + 2*t^8.78*y + 3*t^8.89*y | t^2.223/g1 + g1^7*t^2.442 + t^2.78/g1^8 + (2*t^2.89)/g1^4 + t^3. + t^3.668/g1^3 + g1*t^3.777 + g1^5*t^3.887 + g1^9*t^3.997 + (2*t^4.445)/g1^2 + 2*g1^6*t^4.665 + 2*g1^14*t^4.885 + (2*t^5.113)/g1^5 + t^5.223/g1 + 2*g1^3*t^5.332 + g1^7*t^5.442 + t^5.56/g1^16 + (2*t^5.67)/g1^12 + (3*t^5.78)/g1^8 + (2*t^5.89)/g1^4 - 2*t^6. + g1^4*t^6.11 + g1^12*t^6.33 + g1^16*t^6.44 + (2*t^6.558)/g1^7 + (3*t^6.668)/g1^3 + g1*t^6.777 + 3*g1^5*t^6.887 - g1^9*t^6.997 + 2*g1^13*t^7.107 + 2*g1^21*t^7.327 + (4*t^7.335)/g1^6 + 2*g1^2*t^7.555 + 2*g1^6*t^7.665 + 4*g1^10*t^7.775 + 2*g1^14*t^7.885 + (2*t^8.003)/g1^9 + (3*t^8.113)/g1^5 + 2*g1^3*t^8.332 + t^8.341/g1^24 - 3*g1^7*t^8.442 + (2*t^8.451)/g1^20 + g1^11*t^8.552 + (4*t^8.56)/g1^16 + g1^15*t^8.662 + (3*t^8.67)/g1^12 + 2*g1^19*t^8.772 + 2*g1^23*t^8.882 - (4*t^8.89)/g1^4 - t^4.445/(g1^2*y) - t^7.225/(g1^10*y) - t^7.335/(g1^6*y) + (g1^2*t^7.555)/y + (2*g1^6*t^7.665)/y + t^8.003/(g1^9*y) + (2*t^8.113)/(g1^5*y) + (2*t^8.223)/(g1*y) + (2*g1^3*t^8.332)/y + (g1^7*t^8.442)/y + (2*t^8.67)/(g1^12*y) + (2*t^8.78)/(g1^8*y) + (3*t^8.89)/(g1^4*y) - (t^4.445*y)/g1^2 - (t^7.225*y)/g1^10 - (t^7.335*y)/g1^6 + g1^2*t^7.555*y + 2*g1^6*t^7.665*y + (t^8.003*y)/g1^9 + (2*t^8.113*y)/g1^5 + (2*t^8.223*y)/g1 + 2*g1^3*t^8.332*y + g1^7*t^8.442*y + (2*t^8.67*y)/g1^12 + (2*t^8.78*y)/g1^8 + (3*t^8.89*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2655 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{5}M_{7}$ | 0.6102 | 0.7815 | 0.7808 | [M:[0.9241, 1.0, 1.1836, 0.7405, 1.2595, 0.8164, 0.7405], q:[0.5759, 0.5], qb:[0.2405, 0.7595], phi:[0.481]] | 2*t^2.222 + t^2.449 + t^2.772 + 2*t^2.886 + t^3. + t^3.665 + t^3.892 + t^4.006 + 4*t^4.443 + 3*t^4.671 + 2*t^4.898 + t^4.994 + 4*t^5.108 + 2*t^5.222 + 2*t^5.335 + t^5.449 + t^5.545 + 2*t^5.659 + 3*t^5.772 + 3*t^5.886 - 3*t^6. - t^4.443/y - t^4.443*y | detail | |
| 2657 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6113 | 0.7851 | 0.7787 | [M:[0.9204, 1.0, 1.1804, 0.7401, 1.2599, 0.8196, 0.7003], q:[0.5796, 0.5], qb:[0.2401, 0.7599], phi:[0.4801]] | t^2.101 + t^2.22 + t^2.459 + t^2.761 + 2*t^2.881 + t^3. + t^3.66 + t^3.78 + t^4.019 + t^4.202 + t^4.321 + 2*t^4.44 + t^4.56 + 2*t^4.679 + t^4.862 + 2*t^4.918 + 2*t^4.981 + 3*t^5.101 + t^5.22 + 2*t^5.34 + t^5.459 + t^5.523 + 2*t^5.642 + 4*t^5.761 + 3*t^5.881 - 2*t^6. - t^4.44/y - t^4.44*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 |
|---|---|---|---|---|---|---|---|---|---|
| 988 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ | 0.6613 | 0.8142 | 0.8122 | [M:[1.0162, 0.7677, 0.9447, 0.8391, 1.1609, 1.0553], q:[0.6, 0.3838], qb:[0.4553, 0.777], phi:[0.446]] | t^2.303 + t^2.517 + t^2.676 + t^3.048 + t^3.166 + t^3.483 + t^3.641 + t^3.855 + t^4.07 + t^4.131 + t^4.289 + t^4.504 + t^4.606 + t^4.82 + t^4.938 + t^4.979 + t^5.035 + t^5.193 + t^5.352 + t^5.469 + t^5.683 + t^5.724 + t^5.842 + t^5.944 - 2*t^6. - t^4.338/y - t^4.338*y | detail |