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 |
|---|---|---|---|---|---|---|---|---|---|
| 333 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.5867 | 0.74 | 0.7929 | [M:[1.0, 1.0193, 0.9615, 1.0193], q:[0.7548, 0.2452], qb:[0.5193, 0.5193], phi:[0.4904]] | [M:[[0, 0], [4, 4], [-8, -8], [4, 4]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$ | ${}$ | -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 | (g1^7*t^2.293)/g2 + (g2^7*t^2.293)/g1 + t^2.884/(g1^8*g2^8) + t^3. + 2*g1^4*g2^4*t^3.058 + (g1^5*t^3.764)/g2^3 + (g2^5*t^3.764)/g1^3 + g1^9*g2*t^3.822 + g1*g2^9*t^3.822 + (2*g1^14*t^4.587)/g2^2 + 2*g1^6*g2^6*t^4.587 + (2*g2^14*t^4.587)/g1^2 + (g1^7*t^5.293)/g2 + (g2^7*t^5.293)/g1 + 2*g1^11*g2^3*t^5.351 + 2*g1^3*g2^11*t^5.351 + t^5.769/(g1^16*g2^16) + t^5.884/(g1^8*g2^8) + t^5.942/(g1^4*g2^4) - 3*t^6. - (g1^8*t^6.)/g2^8 - (g2^8*t^6.)/g1^8 + (g1^12*t^6.058)/g2^4 + 3*g1^4*g2^4*t^6.058 + (g2^12*t^6.058)/g1^4 + g1^16*t^6.116 + 4*g1^8*g2^8*t^6.116 + g2^16*t^6.116 - (g1^5*t^6.764)/g2^3 - (g2^5*t^6.764)/g1^3 + g1^9*g2*t^6.822 + g1*g2^9*t^6.822 + (2*g1^21*t^6.88)/g2^3 + 4*g1^13*g2^5*t^6.88 + 4*g1^5*g2^13*t^6.88 + (2*g2^21*t^6.88)/g1^3 - (2*t^7.471)/(g1^2*g2^2) - 2*g1^2*g2^2*t^7.529 + (2*g1^14*t^7.587)/g2^2 + 2*g1^6*g2^6*t^7.587 + (2*g2^14*t^7.587)/g1^2 + 4*g1^18*g2^2*t^7.645 + 4*g1^10*g2^10*t^7.645 + 4*g1^2*g2^18*t^7.645 - (g1^3*t^8.236)/g2^5 - (g2^3*t^8.236)/g1^5 - (g1^15*t^8.293)/g2^9 - (5*g1^7*t^8.293)/g2 - (5*g2^7*t^8.293)/g1 - (g2^15*t^8.293)/g1^9 + (2*g1^19*t^8.351)/g2^5 + 3*g1^11*g2^3*t^8.351 + 3*g1^3*g2^11*t^8.351 + (2*g2^19*t^8.351)/g1^5 + (2*g1^23*t^8.409)/g2 + 5*g1^15*g2^7*t^8.409 + 5*g1^7*g2^15*t^8.409 + (2*g2^23*t^8.409)/g1 + t^8.653/(g1^24*g2^24) + t^8.769/(g1^16*g2^16) + t^8.827/(g1^12*g2^12) - (2*t^8.884)/(g1^8*g2^8) - t^4.471/(g1^2*g2^2*y) - t^7.355/(g1^10*g2^10*y) + t^7.413/(g1^6*g2^6*y) - (g1^2*g2^2*t^7.529)/y + (2*g1^6*g2^6*t^7.587)/y + t^8.178/(g1*g2^9*y) + t^8.178/(g1^9*g2*y) + (g1^7*t^8.293)/(g2*y) + (g2^7*t^8.293)/(g1*y) + (2*g1^11*g2^3*t^8.351)/y + (2*g1^3*g2^11*t^8.351)/y + t^8.884/(g1^8*g2^8*y) + (2*t^8.942)/(g1^4*g2^4*y) - (t^4.471*y)/(g1^2*g2^2) - (t^7.355*y)/(g1^10*g2^10) + (t^7.413*y)/(g1^6*g2^6) - g1^2*g2^2*t^7.529*y + 2*g1^6*g2^6*t^7.587*y + (t^8.178*y)/(g1*g2^9) + (t^8.178*y)/(g1^9*g2) + (g1^7*t^8.293*y)/g2 + (g2^7*t^8.293*y)/g1 + 2*g1^11*g2^3*t^8.351*y + 2*g1^3*g2^11*t^8.351*y + (t^8.884*y)/(g1^8*g2^8) + (2*t^8.942*y)/(g1^4*g2^4) |
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 |
|---|---|---|---|---|---|---|---|---|
| 524 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 0.5648 | 0.7053 | 0.8008 | [M:[1.0, 1.1009, 0.7982, 1.1009], q:[0.7752, 0.2248], qb:[0.6743, 0.5275], phi:[0.4495]] | t^2.257 + t^2.394 + t^2.697 + t^3. + 2*t^3.303 + t^3.606 + t^3.908 + t^4.046 + t^4.349 + 2*t^4.514 + t^4.789 + 2*t^4.954 + t^5.257 + 3*t^5.394 + t^5.56 + 2*t^5.697 + t^5.862 - t^6. - t^4.349/y - t^4.349*y | detail | |
| 523 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6062 | 0.7757 | 0.7814 | [M:[1.0, 1.0213, 0.9573, 1.0213, 0.7341], q:[0.7553, 0.2447], qb:[0.5319, 0.5108], 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 | |
| 1775 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6069 | 0.7772 | 0.7809 | [M:[1.0, 1.026, 0.9481, 1.026, 0.7104], q:[0.7565, 0.2435], qb:[0.5331, 0.5188], 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 |
|---|---|---|---|---|---|---|---|---|---|
| 208 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ | 0.5895 | 0.742 | 0.7945 | [M:[1.0, 1.0406, 0.9189], q:[0.7601, 0.2399], qb:[0.5406, 0.5406], 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 |