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 |
|---|---|---|---|---|---|---|---|---|---|
| 57305 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.4324 | 1.6286 | 0.8795 | [X:[1.3376], M:[0.828, 1.0064], q:[0.4204, 0.586], qb:[0.4204, 0.586], phi:[0.3312]] | [X:[[0, 0, 4]], M:[[0, 0, -5], [0, 0, 6]], q:[[-1, 0, 7], [0, -1, 5]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -2]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$ | ${}$ | -3 | t^2.484 + t^2.522 + 3*t^3.019 + t^3.516 + 3*t^4.013 + 2*t^4.51 + t^4.968 + 3*t^5.006 + t^5.045 + 2*t^5.274 + 2*t^5.503 + 3*t^5.541 + 2*t^5.771 - 3*t^6. + 7*t^6.038 + 2*t^6.268 - t^6.497 + 6*t^6.535 + 4*t^6.764 - t^6.994 + 12*t^7.032 + t^7.452 - t^7.49 + 11*t^7.529 + t^7.567 + 2*t^7.796 + 13*t^8.025 + 3*t^8.064 - 2*t^8.255 + 8*t^8.293 - 4*t^8.484 + 6*t^8.522 + 7*t^8.561 - 6*t^8.752 + 10*t^8.79 + 2*t^8.981 + t^8.981/y^2 - t^3.994/y - t^4.987/y - t^6.478/y - t^6.516/y - (3*t^7.013)/y - t^7.471/y - t^7.51/y - (2*t^8.006)/y + (2*t^8.503)/y + (3*t^8.541)/y - t^8.962/y - t^3.994*y - t^4.987*y - t^6.478*y - t^6.516*y - 3*t^7.013*y - t^7.471*y - t^7.51*y - 2*t^8.006*y + 2*t^8.503*y + 3*t^8.541*y - t^8.962*y + t^8.981*y^2 | t^2.484/g3^5 + g3^7*t^2.522 + (g1*g3^5*t^3.019)/g2 + g3^6*t^3.019 + (g2*g3^7*t^3.019)/g1 + g3^5*t^3.516 + (g1*g3^3*t^4.013)/g2 + g3^4*t^4.013 + (g2*g3^5*t^4.013)/g1 + 2*g3^3*t^4.51 + t^4.968/g3^10 + (g1*g3*t^5.006)/g2 + g3^2*t^5.006 + (g2*g3^3*t^5.006)/g1 + g3^14*t^5.045 + (g1^2*g2*t^5.274)/g3^2 + (g3^17*t^5.274)/(g1^2*g2) + 2*g3*t^5.503 + (g1*g3^12*t^5.541)/g2 + g3^13*t^5.541 + (g2*g3^14*t^5.541)/g1 + (g1*g2^2*t^5.771)/g3^2 + (g3^15*t^5.771)/(g1*g2^2) - 3*t^6. + (g1^2*g3^10*t^6.038)/g2^2 + (g1*g3^11*t^6.038)/g2 + 3*g3^12*t^6.038 + (g2*g3^13*t^6.038)/g1 + (g2^2*g3^14*t^6.038)/g1^2 + (g1^2*g2*t^6.268)/g3^4 + (g3^15*t^6.268)/(g1^2*g2) - (g2*t^6.497)/g1 - (g1*t^6.497)/(g2*g3^2) + t^6.497/g3 + (2*g1*g3^10*t^6.535)/g2 + 2*g3^11*t^6.535 + (2*g2*g3^12*t^6.535)/g1 + (g1^3*t^6.764)/g3^6 + (g1*g2^2*t^6.764)/g3^4 + (g3^13*t^6.764)/(g1*g2^2) + (g3^15*t^6.764)/g1^3 - t^6.994/g3^2 + (g1^2*g3^8*t^7.032)/g2^2 + (2*g1*g3^9*t^7.032)/g2 + 6*g3^10*t^7.032 + (2*g2*g3^11*t^7.032)/g1 + (g2^2*g3^12*t^7.032)/g1^2 + (g1^2*g2*t^7.261)/g3^6 - (g1*g2^2*t^7.261)/g3^5 - (g3^12*t^7.261)/(g1*g2^2) + (g3^13*t^7.261)/(g1^2*g2) + t^7.452/g3^15 - (g1*t^7.49)/(g2*g3^4) + t^7.49/g3^3 - (g2*t^7.49)/(g1*g3^2) + (4*g1*g3^8*t^7.529)/g2 + 3*g3^9*t^7.529 + (4*g2*g3^10*t^7.529)/g1 + g3^21*t^7.567 - (g1^2*g2*t^7.758)/g3^7 + (g1*g2^2*t^7.758)/g3^6 + (g3^11*t^7.758)/(g1*g2^2) - (g3^12*t^7.758)/(g1^2*g2) + g1^2*g2*g3^5*t^7.796 + (g3^24*t^7.796)/(g1^2*g2) + (2*g1^2*g3^6*t^8.025)/g2^2 + (g1*g3^7*t^8.025)/g2 + 7*g3^8*t^8.025 + (g2*g3^9*t^8.025)/g1 + (2*g2^2*g3^10*t^8.025)/g1^2 + (g1*g3^19*t^8.064)/g2 + g3^20*t^8.064 + (g2*g3^21*t^8.064)/g1 - (g1^3*t^8.255)/g3^9 - (g1*g2^2*t^8.255)/g3^7 + (g2^3*t^8.255)/g3^6 + (g3^9*t^8.255)/g2^3 - (g3^10*t^8.255)/(g1*g2^2) - (g3^12*t^8.255)/g1^3 + g1^3*g3^3*t^8.293 + g1^2*g2*g3^4*t^8.293 + 2*g1*g2^2*g3^5*t^8.293 + (2*g3^22*t^8.293)/(g1*g2^2) + (g3^23*t^8.293)/(g1^2*g2) + (g3^24*t^8.293)/g1^3 - (g1*t^8.484)/(g2*g3^6) - (2*t^8.484)/g3^5 - (g2*t^8.484)/(g1*g3^4) + (4*g1*g3^6*t^8.522)/g2 - 2*g3^7*t^8.522 + (4*g2*g3^8*t^8.522)/g1 + (g1^2*g3^17*t^8.561)/g2^2 + (g1*g3^18*t^8.561)/g2 + 3*g3^19*t^8.561 + (g2*g3^20*t^8.561)/g1 + (g2^2*g3^21*t^8.561)/g1^2 - (2*g1^2*g2*t^8.752)/g3^9 - (g2^3*t^8.752)/g3^7 - (g3^8*t^8.752)/g2^3 - (2*g3^10*t^8.752)/(g1^2*g2) + 3*g1^2*g2*g3^3*t^8.79 + g1*g2^2*g3^4*t^8.79 + g2^3*g3^5*t^8.79 + (g3^20*t^8.79)/g2^3 + (g3^21*t^8.79)/(g1*g2^2) + (3*g3^22*t^8.79)/(g1^2*g2) + (2*t^8.981)/g3^6 + t^8.981/(g3^6*y^2) - t^3.994/(g3^2*y) - t^4.987/(g3^4*y) - t^6.478/(g3^7*y) - (g3^5*t^6.516)/y - (g1*g3^3*t^7.013)/(g2*y) - (g3^4*t^7.013)/y - (g2*g3^5*t^7.013)/(g1*y) - t^7.471/(g3^9*y) - (g3^3*t^7.51)/y - (g1*g3*t^8.006)/(g2*y) - (g2*g3^3*t^8.006)/(g1*y) + (g1*t^8.503)/(g2*y) + (g2*g3^2*t^8.503)/(g1*y) + (g1*g3^12*t^8.541)/(g2*y) + (g3^13*t^8.541)/y + (g2*g3^14*t^8.541)/(g1*y) - t^8.962/(g3^12*y) - (t^3.994*y)/g3^2 - (t^4.987*y)/g3^4 - (t^6.478*y)/g3^7 - g3^5*t^6.516*y - (g1*g3^3*t^7.013*y)/g2 - g3^4*t^7.013*y - (g2*g3^5*t^7.013*y)/g1 - (t^7.471*y)/g3^9 - g3^3*t^7.51*y - (g1*g3*t^8.006*y)/g2 - (g2*g3^3*t^8.006*y)/g1 + (g1*t^8.503*y)/g2 + (g2*g3^2*t^8.503*y)/g1 + (g1*g3^12*t^8.541*y)/g2 + g3^13*t^8.541*y + (g2*g3^14*t^8.541*y)/g1 - (t^8.962*y)/g3^12 + (t^8.981*y^2)/g3^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57969 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 1.4234 | 1.6013 | 0.8889 | [X:[1.3846], M:[0.7692, 1.0769], q:[0.4615, 0.6154], qb:[0.4615, 0.6154], phi:[0.3077]] | t^2.31 + t^2.77 + 3*t^3.23 + t^3.69 + 3*t^4.15 + 3*t^4.62 + 3*t^5.08 + 5*t^5.54 + 2*t^6. - t^3.92/y - t^4.85/y - t^3.92*y - t^4.85*y | detail | {a: 3849/2704, c: 2165/1352, X1: 18/13, M1: 10/13, M2: 14/13, q1: 6/13, q2: 8/13, qb1: 6/13, qb2: 8/13, phi1: 4/13} |
| 57970 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ | 1.4475 | 1.6514 | 0.8765 | [X:[1.3475], M:[0.8156, 1.0213, 0.8156], q:[0.4291, 0.5922], qb:[0.4291, 0.5922], phi:[0.3262]] | 2*t^2.45 + t^2.57 + 3*t^3.06 + 3*t^4.04 + 2*t^4.53 + 3*t^4.89 + 4*t^5.02 + t^5.15 + 2*t^5.33 + 5*t^5.51 + 3*t^5.64 + 2*t^5.82 - 4*t^6. - t^3.98/y - t^4.96/y - t^3.98*y - t^4.96*y | detail | |
| 57967 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4117 | 1.5916 | 0.8869 | [X:[1.3794], M:[0.7758, 1.0691], q:[0.3963, 0.5697], qb:[0.5176, 0.6545], phi:[0.3103]] | t^2.33 + t^2.74 + t^3.15 + t^3.21 + t^3.26 + t^3.67 + t^4.08 + t^4.14 + t^4.19 + 2*t^4.6 + t^4.65 + t^5.01 + t^5.02 + t^5.07 + t^5.12 + t^5.48 + 2*t^5.53 + t^5.54 + t^5.89 + 2*t^5.95 - t^6. - t^3.93/y - t^4.86/y - t^3.93*y - t^4.86*y | detail | |
| 57968 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 1.4256 | 1.608 | 0.8866 | [X:[1.3731], M:[0.7837, 1.0596], q:[0.4358, 0.6301], qb:[0.4671, 0.5862], phi:[0.3135]] | t^2.35 + t^2.71 + t^3.07 + t^3.18 + t^3.29 + t^3.65 + t^4.01 + t^4.12 + t^4.23 + 2*t^4.59 + t^4.7 + t^4.95 + t^5.06 + t^5.17 + t^5.42 + t^5.45 + t^5.5 + 2*t^5.53 + t^5.77 + t^5.86 + t^5.89 - 2*t^6. - t^3.94/y - t^4.88/y - t^3.94*y - t^4.88*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47882 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4342 | 1.6257 | 0.8822 | [X:[1.3547], M:[0.8066], q:[0.4353, 0.5967], qb:[0.4353, 0.5967], phi:[0.3227]] | t^2.42 + t^2.612 + t^2.904 + 2*t^3.096 + t^3.58 + 3*t^4.064 + 2*t^4.548 + t^4.84 + 3*t^5.032 + t^5.224 + t^5.324 + 2*t^5.37 + 2*t^5.516 + 2*t^5.708 + t^5.808 + 2*t^5.854 - t^6. - t^3.968/y - t^4.936/y - t^3.968*y - t^4.936*y | detail |