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 |
|---|---|---|---|---|---|---|---|---|---|
| 46139 | SU2adj1nf2 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.5867 | 0.74 | 0.7929 | [M:[1.0193, 0.9615, 1.0, 1.0193], q:[0.5193, 0.5193], qb:[0.7548, 0.2452], phi:[0.4904]] | [M:[[0, -4], [0, 8], [0, 0], [0, -4]], q:[[-1, -8], [1, 0]], qb:[[0, -1], [0, 1]], phi:[[0, 2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{4}$ | ${}$ | -5 | 2*t^2.293 + t^2.884 + t^3. + 2*t^3.058 + 2*t^3.764 + 2*t^3.822 + 6*t^4.587 + 2*t^5.293 + 4*t^5.351 + t^5.769 + t^5.884 + t^5.942 - 5*t^6. + 5*t^6.058 + 6*t^6.116 - 2*t^6.764 + 2*t^6.822 + 12*t^6.88 - 2*t^7.471 - 2*t^7.529 + 6*t^7.587 + 12*t^7.645 - 2*t^8.236 - 12*t^8.293 + 10*t^8.351 + 14*t^8.409 + t^8.653 + t^8.769 + t^8.827 - 2*t^8.884 - t^4.471/y - t^7.355/y + t^7.413/y - t^7.529/y + (2*t^7.587)/y + (2*t^8.178)/y + (2*t^8.293)/y + (4*t^8.351)/y + t^8.884/y + (2*t^8.942)/y - t^4.471*y - t^7.355*y + t^7.413*y - t^7.529*y + 2*t^7.587*y + 2*t^8.178*y + 2*t^8.293*y + 4*t^8.351*y + t^8.884*y + 2*t^8.942*y | t^2.293/(g1*g2^7) + g1*g2*t^2.293 + g2^8*t^2.884 + t^3. + (2*t^3.058)/g2^4 + t^3.764/(g1*g2^5) + g1*g2^3*t^3.764 + t^3.822/(g1*g2^9) + (g1*t^3.822)/g2 + (2*t^4.587)/(g1^2*g2^14) + (2*t^4.587)/g2^6 + 2*g1^2*g2^2*t^4.587 + t^5.293/(g1*g2^7) + g1*g2*t^5.293 + (2*t^5.351)/(g1*g2^11) + (2*g1*t^5.351)/g2^3 + g2^16*t^5.769 + g2^8*t^5.884 + g2^4*t^5.942 - 3*t^6. - t^6./(g1^2*g2^8) - g1^2*g2^8*t^6. + t^6.058/(g1^2*g2^12) + (3*t^6.058)/g2^4 + g1^2*g2^4*t^6.058 + g1^2*t^6.116 + t^6.116/(g1^2*g2^16) + (4*t^6.116)/g2^8 - t^6.764/(g1*g2^5) - g1*g2^3*t^6.764 + t^6.822/(g1*g2^9) + (g1*t^6.822)/g2 + (2*t^6.88)/(g1^3*g2^21) + (4*t^6.88)/(g1*g2^13) + (4*g1*t^6.88)/g2^5 + 2*g1^3*g2^3*t^6.88 - 2*g2^2*t^7.471 - (2*t^7.529)/g2^2 + (2*t^7.587)/(g1^2*g2^14) + (2*t^7.587)/g2^6 + 2*g1^2*g2^2*t^7.587 + (4*t^7.645)/(g1^2*g2^18) + (4*t^7.645)/g2^10 + (4*g1^2*t^7.645)/g2^2 - t^8.236/(g1*g2^3) - g1*g2^5*t^8.236 - t^8.293/(g1^3*g2^15) - (5*t^8.293)/(g1*g2^7) - 5*g1*g2*t^8.293 - g1^3*g2^9*t^8.293 + (2*t^8.351)/(g1^3*g2^19) + (3*t^8.351)/(g1*g2^11) + (3*g1*t^8.351)/g2^3 + 2*g1^3*g2^5*t^8.351 + (2*t^8.409)/(g1^3*g2^23) + (5*t^8.409)/(g1*g2^15) + (5*g1*t^8.409)/g2^7 + 2*g1^3*g2*t^8.409 + g2^24*t^8.653 + g2^16*t^8.769 + g2^12*t^8.827 - 2*g2^8*t^8.884 - (g2^2*t^4.471)/y - (g2^10*t^7.355)/y + (g2^6*t^7.413)/y - t^7.529/(g2^2*y) + (2*t^7.587)/(g2^6*y) + (g2*t^8.178)/(g1*y) + (g1*g2^9*t^8.178)/y + t^8.293/(g1*g2^7*y) + (g1*g2*t^8.293)/y + (2*t^8.351)/(g1*g2^11*y) + (2*g1*t^8.351)/(g2^3*y) + (g2^8*t^8.884)/y + (2*g2^4*t^8.942)/y - g2^2*t^4.471*y - g2^10*t^7.355*y + g2^6*t^7.413*y - (t^7.529*y)/g2^2 + (2*t^7.587*y)/g2^6 + (g2*t^8.178*y)/g1 + g1*g2^9*t^8.178*y + (t^8.293*y)/(g1*g2^7) + g1*g2*t^8.293*y + (2*t^8.351*y)/(g1*g2^11) + (2*g1*t^8.351*y)/g2^3 + g2^8*t^8.884*y + 2*g2^4*t^8.942*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 |
|---|---|---|---|---|---|---|---|---|
| 46772 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6062 | 0.7757 | 0.7814 | [M:[1.0213, 0.9573, 1.0, 1.0213, 0.7341], q:[0.5319, 0.5108], qb:[0.7553, 0.2447], phi:[0.4893]] | t^2.202 + t^2.266 + t^2.33 + t^2.872 + t^3. + 2*t^3.064 + t^3.734 + t^3.798 + t^3.862 + t^4.405 + t^4.469 + t^4.532 + 2*t^4.533 + 2*t^4.596 + 2*t^4.659 + t^5.074 + t^5.202 + 3*t^5.266 + 3*t^5.33 + 2*t^5.394 + t^5.744 + t^5.872 + t^5.936 - 3*t^6. - t^4.468/y - t^4.468*y | detail | |
| 46728 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6069 | 0.7772 | 0.7809 | [M:[1.026, 0.9481, 1.0, 1.026, 0.7104], q:[0.5331, 0.5188], qb:[0.7565, 0.2435], phi:[0.487]] | t^2.131 + t^2.287 + t^2.33 + t^2.844 + t^3. + 2*t^3.078 + t^3.748 + t^3.791 + t^3.826 + t^4.262 + t^4.418 + t^4.461 + 2*t^4.574 + 2*t^4.617 + 2*t^4.66 + t^4.975 + t^5.131 + 2*t^5.209 + t^5.287 + t^5.33 + 2*t^5.365 + 2*t^5.408 + t^5.688 + t^5.844 + t^5.879 + 2*t^5.922 - 3*t^6. - t^4.461/y - t^4.461*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46025 | SU2adj1nf2 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ | 0.5895 | 0.742 | 0.7945 | [M:[1.0406, 0.9189, 1.0], q:[0.5406, 0.5406], qb:[0.7601, 0.2399], phi:[0.4797]] | 2*t^2.341 + t^2.757 + t^2.878 + t^3. + t^3.122 + 2*t^3.78 + 2*t^3.902 + 6*t^4.683 + 2*t^5.22 + 2*t^5.341 + 2*t^5.463 + t^5.513 + t^5.635 + 2*t^5.757 + t^5.878 - 4*t^6. - t^4.439/y - t^4.439*y | detail |