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 |
|---|---|---|---|---|---|---|---|---|---|
| 57287 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.3045 | 1.4437 | 0.9036 | [X:[1.4433], M:[1.1133], q:[0.4056, 0.6839], qb:[0.4811, 0.7594], phi:[0.2783]] | [X:[[0, 4]], M:[[0, -8]], q:[[1, 7], [-2, 4]], qb:[[-1, 1], [2, 0]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{3}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}\phi_{1}^{3}$ | ${}\phi_{1}^{4}q_{1}\tilde{q}_{1}$ | -1 | t^2.505 + t^3.34 + 3*t^3.495 + 5*t^4.33 + t^5.01 + t^5.165 + t^5.32 + t^5.845 - t^6. + 3*t^6.155 + t^6.68 + 4*t^6.835 + 6*t^6.99 + t^7.515 + 3*t^7.67 + 11*t^7.825 + t^8.35 - 2*t^8.505 + 13*t^8.66 + 3*t^8.815 + t^8.505/y^2 - t^3.835/y - t^4.67/y - t^6.34/y - (2*t^7.175)/y - (2*t^7.33)/y - t^8.01/y - (4*t^8.165)/y - t^3.835*y - t^4.67*y - t^6.34*y - 2*t^7.175*y - 2*t^7.33*y - t^8.01*y - 4*t^8.165*y + t^8.505*y^2 | t^2.505/g2^6 + t^3.34/g2^8 + (g2^5*t^3.495)/g1^3 + g2^6*t^3.495 + g1^3*g2^7*t^3.495 + (g2^3*t^4.33)/g1^3 + 3*g2^4*t^4.33 + g1^3*g2^5*t^4.33 + t^5.01/g2^12 + g2^2*t^5.165 + g2^16*t^5.32 + t^5.845/g2^14 - t^6. + (g2^13*t^6.155)/g1^3 + g2^14*t^6.155 + g1^3*g2^15*t^6.155 + t^6.68/g2^16 + t^6.835/(g1^3*g2^3) + (2*t^6.835)/g2^2 + (g1^3*t^6.835)/g2 + (g2^10*t^6.99)/g1^6 + (g2^11*t^6.99)/g1^3 + 2*g2^12*t^6.99 + g1^3*g2^13*t^6.99 + g1^6*g2^14*t^6.99 + t^7.515/g2^18 + (3*t^7.67)/g2^4 + (g2^8*t^7.825)/g1^6 + (3*g2^9*t^7.825)/g1^3 + 3*g2^10*t^7.825 + 3*g1^3*g2^11*t^7.825 + g1^6*g2^12*t^7.825 + t^8.35/g2^20 - t^8.505/(g1^3*g2^7) - (g1^3*t^8.505)/g2^5 + (g2^6*t^8.66)/g1^6 + (3*g2^7*t^8.66)/g1^3 + 5*g2^8*t^8.66 + 3*g1^3*g2^9*t^8.66 + g1^6*g2^10*t^8.66 + (g2^21*t^8.815)/g1^3 + g2^22*t^8.815 + g1^3*g2^23*t^8.815 + t^8.505/(g2^6*y^2) - t^3.835/(g2^2*y) - t^4.67/(g2^4*y) - t^6.34/(g2^8*y) - (2*t^7.175)/(g2^10*y) - (g2^3*t^7.33)/(g1^3*y) - (g1^3*g2^5*t^7.33)/y - t^8.01/(g2^12*y) - (g2*t^8.165)/(g1^3*y) - (2*g2^2*t^8.165)/y - (g1^3*g2^3*t^8.165)/y - (t^3.835*y)/g2^2 - (t^4.67*y)/g2^4 - (t^6.34*y)/g2^8 - (2*t^7.175*y)/g2^10 - (g2^3*t^7.33*y)/g1^3 - g1^3*g2^5*t^7.33*y - (t^8.01*y)/g2^12 - (g2*t^8.165*y)/g1^3 - 2*g2^2*t^8.165*y - g1^3*g2^3*t^8.165*y + (t^8.505*y^2)/g2^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57813 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.3032 | 1.4461 | 0.9012 | [X:[1.4286], M:[1.1429], q:[0.381, 0.6667], qb:[0.4762, 0.7619], phi:[0.2857]] | t^2.57 + 4*t^3.43 + 5*t^4.29 + 3*t^5.14 + 3*t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | {a: 447/343, c: 496/343, X1: 10/7, M1: 8/7, q1: 8/21, q2: 2/3, qb1: 10/21, qb2: 16/21, phi1: 2/7} |
| 57817 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.3192 | 1.4673 | 0.899 | [X:[1.4519], M:[1.0961, 0.8221], q:[0.4199, 0.6939], qb:[0.484, 0.758], phi:[0.274]] | 2*t^2.47 + t^3.29 + 2*t^3.53 + 5*t^4.36 + 3*t^4.93 + t^5.18 + t^5.42 + 2*t^5.75 - t^3.82/y - t^4.64/y - t^3.82*y - t^4.64*y | detail | |
| 57814 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.2908 | 1.4229 | 0.9072 | [X:[1.4339], M:[1.1322, 1.1509], q:[0.3899, 0.6729], qb:[0.478, 0.761], phi:[0.283]] | t^3.4 + 4*t^3.45 + 5*t^4.3 + t^5.15 + t^5.21 - 4*t^6. - t^3.85/y - t^4.7/y - t^3.85*y - t^4.7*y | detail | |
| 57816 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.3202 | 1.4705 | 0.8978 | [X:[1.4508], M:[1.0983, 0.7927], q:[0.4077, 0.7133], qb:[0.494, 0.7375], phi:[0.2746]] | t^2.38 + t^2.47 + t^3.29 + t^3.44 + t^3.53 + t^4.26 + 3*t^4.35 + t^4.45 + t^4.76 + t^4.85 + t^4.94 + t^5.18 + t^5.41 + t^5.67 + t^5.77 + t^5.81 + t^5.91 - t^6. - t^3.82/y - t^4.65/y - t^3.82*y - t^4.65*y | detail | |
| 57812 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ | 1.0879 | 1.2026 | 0.9046 | [X:[1.5411], M:[0.9177], q:[0.4156, 1.1039], qb:[0.6667, 0.4372], phi:[0.2294]] | t^2.06 + t^2.56 + t^2.75 + t^3.25 + t^3.94 + t^4.13 + 3*t^4.62 + t^4.82 + t^5.12 + 3*t^5.31 + t^5.51 + 2*t^5.81 - t^3.69/y - t^4.38/y - t^5.75/y - t^3.69*y - t^4.38*y - t^5.75*y | detail | |
| 57811 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.9111 | 0.9805 | 0.9292 | [X:[1.6161, 1.4242], M:[0.7677], q:[0.5016, 1.2694], qb:[0.7306, 0.3468], phi:[0.1919]] | t^2.3 + t^2.55 + t^3.12 + t^4.27 + t^4.61 + 3*t^4.85 + t^5.09 + t^5.42 + t^5.67 - 2*t^6. - t^3.58/y - t^4.15/y - t^5.88/y - t^3.58*y - t^4.15*y - t^5.88*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47884 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.314 | 1.4609 | 0.8994 | [X:[1.4124], M:[1.1752], q:[0.4124, 0.7062], qb:[0.4124, 0.7062], phi:[0.2938]] | t^2.644 + 3*t^3.356 + t^3.526 + 5*t^4.237 + t^5.119 + t^5.288 + 2*t^5.474 - 2*t^6. - t^3.881/y - t^4.763/y - t^3.881*y - t^4.763*y | detail |