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 |
|---|---|---|---|---|---|---|---|---|---|
| 1643 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{4}X_{1}$ | 0.6767 | 0.8295 | 0.8158 | [X:[1.3345], M:[1.0018, 1.1103, 1.0018, 0.6655, 0.8897, 0.7776, 0.9982], q:[0.7776, 0.4448], qb:[0.5534, 0.4448], phi:[0.4448]] | [X:[[6]], M:[[9], [-4], [9], [-6], [4], [-1], [-9]], q:[[-1], [2]], qb:[[-11], [2]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{7}^{2}$ | ${}M_{3}M_{7}$ | -3 | t^2.333 + 2*t^2.669 + t^2.995 + t^3.005 + t^3.667 + t^3.993 + 3*t^4.004 + 2*t^4.329 + t^4.655 + t^4.665 + 2*t^5.002 + t^5.327 + 4*t^5.338 + 2*t^5.664 + t^5.989 - 3*t^6. + t^6.011 - t^6.326 + 3*t^6.336 + 3*t^6.662 + 6*t^6.673 + 2*t^6.987 + 5*t^6.998 + t^7.009 + 3*t^7.324 - 2*t^7.335 + t^7.649 - t^7.66 + 5*t^7.671 + 3*t^7.996 + 9*t^8.007 + 2*t^8.322 + 2*t^8.333 + t^8.648 + 3*t^8.658 - 7*t^8.669 + t^8.68 + 3*t^8.984 - 5*t^8.995 - t^4.335/y - t^6.667/y - t^7.004/y + t^7.329/y - t^7.34/y + t^7.665/y + (3*t^8.002)/y + t^8.327/y + (2*t^8.338)/y + (2*t^8.664)/y + (2*t^8.674)/y - t^4.335*y - t^6.667*y - t^7.004*y + t^7.329*y - t^7.34*y + t^7.665*y + 3*t^8.002*y + t^8.327*y + 2*t^8.338*y + 2*t^8.664*y + 2*t^8.674*y | t^2.333/g1 + 2*g1^4*t^2.669 + t^2.995/g1^9 + g1^9*t^3.005 + g1*t^3.667 + t^3.993/g1^12 + 3*g1^6*t^4.004 + (2*t^4.329)/g1^7 + t^4.655/g1^20 + t^4.665/g1^2 + 2*g1^3*t^5.002 + t^5.327/g1^10 + 4*g1^8*t^5.338 + (2*t^5.664)/g1^5 + t^5.989/g1^18 - 3*t^6. + g1^18*t^6.011 - t^6.326/g1^13 + 3*g1^5*t^6.336 + (3*t^6.662)/g1^8 + 6*g1^10*t^6.673 + (2*t^6.987)/g1^21 + (5*t^6.998)/g1^3 + g1^15*t^7.009 + (3*t^7.324)/g1^16 - 2*g1^2*t^7.335 + t^7.649/g1^29 - t^7.66/g1^11 + 5*g1^7*t^7.671 + (3*t^7.996)/g1^6 + 9*g1^12*t^8.007 + (2*t^8.322)/g1^19 + (2*t^8.333)/g1 + t^8.648/g1^32 + (3*t^8.658)/g1^14 - 7*g1^4*t^8.669 + g1^22*t^8.68 + (3*t^8.984)/g1^27 - (5*t^8.995)/g1^9 - (g1^2*t^4.335)/y - (g1*t^6.667)/y - (g1^6*t^7.004)/y + t^7.329/(g1^7*y) - (g1^11*t^7.34)/y + t^7.665/(g1^2*y) + (3*g1^3*t^8.002)/y + t^8.327/(g1^10*y) + (2*g1^8*t^8.338)/y + (2*t^8.664)/(g1^5*y) + (2*g1^13*t^8.674)/y - g1^2*t^4.335*y - g1*t^6.667*y - g1^6*t^7.004*y + (t^7.329*y)/g1^7 - g1^11*t^7.34*y + (t^7.665*y)/g1^2 + 3*g1^3*t^8.002*y + (t^8.327*y)/g1^10 + 2*g1^8*t^8.338*y + (2*t^8.664*y)/g1^5 + 2*g1^13*t^8.674*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 |
|---|---|---|---|---|---|---|---|---|
| 4094 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{4}X_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ | 0.6975 | 0.8711 | 0.8008 | [X:[1.3342], M:[1.0013, 1.1105, 1.0013, 0.6658, 0.8895, 0.7776, 0.9987, 0.6684], q:[0.7776, 0.4447], qb:[0.554, 0.4447], phi:[0.4447]] | t^2.005 + t^2.333 + 2*t^2.668 + t^2.996 + t^3.004 + t^3.667 + 3*t^4.003 + t^4.01 + 2*t^4.33 + t^4.338 + t^4.658 + t^4.666 + 2*t^4.674 + 3*t^5.001 + t^5.009 + t^5.329 + 4*t^5.337 + 2*t^5.665 + t^5.672 + t^5.992 - 3*t^6. - t^4.334/y - t^4.334*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1056 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.699 | 0.8728 | 0.8008 | [M:[0.9679, 1.1254, 0.9679, 0.6881, 0.8746, 0.7813], q:[0.7813, 0.4373], qb:[0.5948, 0.4373], phi:[0.4373]] | t^2.064 + t^2.344 + 2*t^2.624 + 2*t^2.904 + t^3.656 + 2*t^3.936 + 2*t^4.128 + 3*t^4.408 + 3*t^4.688 + t^4.881 + 4*t^4.968 + 5*t^5.248 + 2*t^5.528 + t^5.72 + 3*t^5.808 - 2*t^6. - t^4.312/y - t^4.312*y | detail |