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 |
|---|---|---|---|---|---|---|---|---|---|
| 57417 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4634 | 1.6643 | 0.8793 | [X:[1.3522], M:[0.6722], q:[0.4764, 0.4803], qb:[0.5236, 0.5763], phi:[0.3239]] | [X:[[0, 2]], M:[[3, -6]], q:[[2, -1], [-1, 6]], qb:[[-2, 1], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | t^2.017 + t^2.915 + t^3. + t^3.012 + t^3.158 + t^3.17 + t^3.972 + t^4.033 + t^4.057 + t^4.13 + t^4.141 + t^4.932 + t^4.943 + t^4.955 + t^5.017 + t^5.028 + t^5.102 + t^5.113 + t^5.175 + t^5.186 + t^5.271 + t^5.283 + t^5.83 + t^5.915 + t^5.927 - 2*t^6. + t^6.023 + t^6.05 + 2*t^6.073 + t^6.085 + t^6.147 + t^6.158 + 2*t^6.17 + t^6.181 + t^6.243 + t^6.255 + t^6.316 + t^6.328 + t^6.34 + t^6.887 + t^6.949 + t^6.972 + t^7.033 + 2*t^7.045 + 2*t^7.057 + t^7.068 + t^7.118 + 2*t^7.13 + 2*t^7.141 + t^7.153 + t^7.192 + 2*t^7.203 + 2*t^7.215 + 2*t^7.226 + t^7.238 + 2*t^7.288 + 2*t^7.3 + t^7.311 + t^7.627 + t^7.847 + 2*t^7.943 + t^7.955 + t^7.967 - t^8.017 + t^8.028 + t^8.067 + 2*t^8.09 + 3*t^8.102 + 3*t^8.113 + t^8.125 + t^8.163 + t^8.175 + 3*t^8.186 + 2*t^8.198 + 2*t^8.26 + 3*t^8.271 + 3*t^8.283 + t^8.295 + t^8.333 + t^8.345 + t^8.356 + t^8.429 + 2*t^8.441 + t^8.453 - t^8.672 - t^8.684 + t^8.745 + t^8.927 + t^8.938 + t^8.965 - t^8.988 + t^8.915/y^2 - t^8.988/y^2 - t^3.972/y - t^4.943/y - t^5.988/y - t^6.887/y - t^6.96/y - t^6.972/y - t^6.983/y - t^7.13/y - t^7.141/y - t^7.859/y + t^7.932/y - t^7.943/y - t^8.005/y + t^8.017/y + t^8.028/y - t^8.102/y - t^8.113/y + t^8.175/y + t^8.186/y - t^8.904/y + t^8.927/y - t^8.977/y - t^3.972*y - t^4.943*y - t^5.988*y - t^6.887*y - t^6.96*y - t^6.972*y - t^6.983*y - t^7.13*y - t^7.141*y - t^7.859*y + t^7.932*y - t^7.943*y - t^8.005*y + t^8.017*y + t^8.028*y - t^8.102*y - t^8.113*y + t^8.175*y + t^8.186*y - t^8.904*y + t^8.927*y - t^8.977*y + t^8.915*y^2 - t^8.988*y^2 | (g1^3*t^2.017)/g2^6 + t^2.915/g2^3 + t^3. + (g2^7*t^3.012)/g1^3 + (g1^3*t^3.158)/g2 + g2^6*t^3.17 + t^3.972/g2 + (g1^6*t^4.033)/g2^12 + g2^2*t^4.057 + (g1^3*t^4.13)/g2^2 + g2^5*t^4.141 + (g1^3*t^4.932)/g2^9 + t^4.943/g2^2 + (g2^5*t^4.955)/g1^3 + (g1^3*t^5.017)/g2^6 + g2*t^5.028 + (g1^3*t^5.102)/g2^3 + g2^4*t^5.113 + (g1^6*t^5.175)/g2^7 + g1^3*t^5.186 + g1^3*g2^3*t^5.271 + g2^10*t^5.283 + t^5.83/g2^6 + t^5.915/g2^3 + (g2^4*t^5.927)/g1^3 - 2*t^6. + (g2^14*t^6.023)/g1^6 + (g1^9*t^6.05)/g2^18 + (2*g1^3*t^6.073)/g2^4 + g2^3*t^6.085 + (g1^6*t^6.147)/g2^8 + (g1^3*t^6.158)/g2 + 2*g2^6*t^6.17 + (g2^13*t^6.181)/g1^3 + g1^3*g2^2*t^6.243 + g2^9*t^6.255 + (g1^6*t^6.316)/g2^2 + g1^3*g2^5*t^6.328 + g2^12*t^6.34 + t^6.887/g2^4 + (g1^6*t^6.949)/g2^15 + t^6.972/g2 + (g1^6*t^7.033)/g2^12 + (2*g1^3*t^7.045)/g2^5 + 2*g2^2*t^7.057 + (g2^9*t^7.068)/g1^3 + (g1^6*t^7.118)/g2^9 + (2*g1^3*t^7.13)/g2^2 + 2*g2^5*t^7.141 + (g2^12*t^7.153)/g1^3 + (g1^9*t^7.192)/g2^13 + (2*g1^6*t^7.203)/g2^6 + 2*g1^3*g2*t^7.215 + 2*g2^8*t^7.226 + (g2^15*t^7.238)/g1^3 + (2*g1^6*t^7.288)/g2^3 + 2*g1^3*g2^4*t^7.3 + g2^11*t^7.311 + t^7.627/g1^6 + (g1^3*t^7.847)/g2^12 + (2*t^7.943)/g2^2 + (g2^5*t^7.955)/g1^3 + (g2^12*t^7.967)/g1^6 - (g1^3*t^8.017)/g2^6 + g2*t^8.028 + (g1^12*t^8.067)/g2^24 + (2*g1^6*t^8.09)/g2^10 + (3*g1^3*t^8.102)/g2^3 + 3*g2^4*t^8.113 + (g2^11*t^8.125)/g1^3 + (g1^9*t^8.163)/g2^14 + (g1^6*t^8.175)/g2^7 + 3*g1^3*t^8.186 + 2*g2^7*t^8.198 + (2*g1^6*t^8.26)/g2^4 + 3*g1^3*g2^3*t^8.271 + 3*g2^10*t^8.283 + (g2^17*t^8.295)/g1^3 + (g1^9*t^8.333)/g2^8 + (g1^6*t^8.345)/g2 + g1^3*g2^6*t^8.356 + g1^6*g2^2*t^8.429 + 2*g1^3*g2^9*t^8.441 + g2^16*t^8.453 - t^8.672/(g1^3*g2^5) - (g2^2*t^8.684)/g1^6 + t^8.745/g2^9 + (g2^4*t^8.927)/g1^3 + (g2^11*t^8.938)/g1^6 + (g1^9*t^8.965)/g2^21 - (g1^3*t^8.988)/g2^7 + t^8.915/(g2^3*y^2) - (g1^3*t^8.988)/(g2^7*y^2) - t^3.972/(g2*y) - t^4.943/(g2^2*y) - (g1^3*t^5.988)/(g2^7*y) - t^6.887/(g2^4*y) - (g1^3*t^6.96)/(g2^8*y) - t^6.972/(g2*y) - (g2^6*t^6.983)/(g1^3*y) - (g1^3*t^7.13)/(g2^2*y) - (g2^5*t^7.141)/y - t^7.859/(g2^5*y) + (g1^3*t^7.932)/(g2^9*y) - t^7.943/(g2^2*y) - (g1^6*t^8.005)/(g2^13*y) + (g1^3*t^8.017)/(g2^6*y) + (g2*t^8.028)/y - (g1^3*t^8.102)/(g2^3*y) - (g2^4*t^8.113)/y + (g1^6*t^8.175)/(g2^7*y) + (g1^3*t^8.186)/y - (g1^3*t^8.904)/(g2^10*y) + (g2^4*t^8.927)/(g1^3*y) - (g1^6*t^8.977)/(g2^14*y) - (t^3.972*y)/g2 - (t^4.943*y)/g2^2 - (g1^3*t^5.988*y)/g2^7 - (t^6.887*y)/g2^4 - (g1^3*t^6.96*y)/g2^8 - (t^6.972*y)/g2 - (g2^6*t^6.983*y)/g1^3 - (g1^3*t^7.13*y)/g2^2 - g2^5*t^7.141*y - (t^7.859*y)/g2^5 + (g1^3*t^7.932*y)/g2^9 - (t^7.943*y)/g2^2 - (g1^6*t^8.005*y)/g2^13 + (g1^3*t^8.017*y)/g2^6 + g2*t^8.028*y - (g1^3*t^8.102*y)/g2^3 - g2^4*t^8.113*y + (g1^6*t^8.175*y)/g2^7 + g1^3*t^8.186*y - (g1^3*t^8.904*y)/g2^10 + (g2^4*t^8.927*y)/g1^3 - (g1^6*t^8.977*y)/g2^14 + (t^8.915*y^2)/g2^3 - (g1^3*t^8.988*y^2)/g2^7 |
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 |
|---|---|---|---|---|---|---|---|---|
| 59450 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.3616 | 1.5707 | 0.8668 | [X:[1.2871], M:[0.9307], q:[0.5511, 0.264], qb:[0.4489, 0.5973], phi:[0.3564]] | t^2.14 + t^2.58 + t^2.79 + t^3. + t^3.21 + t^3.45 + t^3.65 + t^3.86 + t^4.07 + 2*t^4.28 + t^4.31 + t^4.51 + 2*t^4.72 + t^4.93 + t^5.14 + 2*t^5.17 + t^5.35 + 2*t^5.38 + 5*t^5.58 + 3*t^5.79 - t^4.07/y - t^5.14/y - t^4.07*y - t^5.14*y | detail | |
| 59685 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ | 1.4326 | 1.6247 | 0.8818 | [X:[1.3529], M:[0.8089], q:[0.5686, 0.4362], qb:[0.4314, 0.6225], phi:[0.3235]] | t^2.43 + t^2.6 + t^2.91 + t^3. + t^3.18 + t^3.57 + t^3.97 + t^4.06 + t^4.15 + 2*t^4.54 + t^4.85 + t^4.94 + t^5.03 + t^5.12 + t^5.21 + t^5.29 + t^5.34 + t^5.43 + 2*t^5.51 + t^5.6 + t^5.69 + t^5.78 + t^5.82 + t^5.91 - t^6. - t^3.97/y - t^4.94/y - t^3.97*y - t^4.94*y | detail | |
| 60476 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.3837 | 1.5581 | 0.8881 | [X:[1.4033], M:[0.79], q:[0.6317, 0.5433], qb:[0.3683, 0.6667], phi:[0.2983]] | t^2.37 + t^2.69 + t^2.73 + t^3. + t^3.63 + 2*t^3.9 + t^4.21 + 2*t^4.52 + t^4.74 + 2*t^4.79 + t^5.06 + t^5.1 + 2*t^5.37 + 2*t^5.42 + t^5.47 + 2*t^5.69 - t^3.9/y - t^4.79/y - t^3.9*y - t^4.79*y | detail | |
| 59502 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.4699 | 1.6729 | 0.8786 | [X:[1.3576], M:[0.6921, 0.9139], q:[0.4978, 0.4845], qb:[0.5022, 0.5883], phi:[0.3212]] | t^2.08 + t^2.74 + t^2.89 + t^2.96 + t^3. + t^3.22 + t^3.96 + t^4.07 + t^4.15 + t^4.18 + t^4.22 + t^4.82 + t^4.89 + t^4.93 + t^4.97 + t^5.04 + t^5.08 + t^5.15 + t^5.19 + t^5.29 + t^5.36 + t^5.4 + t^5.48 + t^5.63 + t^5.7 + t^5.74 + t^5.78 + t^5.85 + t^5.89 + t^5.92 + t^5.96 - 2*t^6. - t^3.96/y - t^4.93/y - t^3.96*y - t^4.93*y | detail | |
| 60080 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{1}X_{2}$ | 1.4211 | 1.5836 | 0.8974 | [X:[1.4, 1.4], M:[0.6], q:[0.5, 0.6], qb:[0.5, 0.6], phi:[0.3]] | t^2.7 + t^3. + 2*t^3.3 + t^3.6 + t^3.9 + 3*t^4.2 + t^4.5 + t^4.8 + 2*t^5.1 + 2*t^5.4 + t^5.7 + t^6. - t^3.9/y - t^4.8/y - t^3.9*y - t^4.8*y | detail | {a: 22737/16000, c: 25337/16000, X1: 7/5, X2: 7/5, M1: 3/5, q1: 1/2, q2: 3/5, qb1: 1/2, qb2: 3/5, phi1: 3/10} |
| 60074 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.4281 | 1.6093 | 0.8874 | [X:[1.4], M:[0.7001], q:[0.5667, 0.5666], qb:[0.4333, 0.6333], phi:[0.3]] | t^2.1 + t^2.7 + 2*t^3. + 2*t^3.6 + t^3.9 + 2*t^4.2 + 2*t^4.5 + 3*t^4.8 + 2*t^5.1 + 3*t^5.4 + 4*t^5.7 + t^6. - t^3.9/y - t^4.8/y - t^6./y - t^3.9*y - t^4.8*y - t^6.*y | detail | |
| 60776 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 1.3229 | 1.5019 | 0.8808 | [X:[1.3634], M:[0.9548], q:[0.6817, 0.4086], qb:[0.3183, 0.6817], phi:[0.3183]] | t^2.18 + 2*t^2.86 + t^3. + t^3.27 + t^3.95 + 3*t^4.09 + t^4.23 + t^4.36 + t^4.91 + 3*t^5.05 + t^5.18 + 2*t^5.45 + 4*t^5.73 + 2*t^5.86 - t^6. - t^3.95/y - t^4.91/y - t^3.95*y - t^4.91*y | detail | |
| 60161 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }M_{1}X_{2}$ | 1.4417 | 1.6216 | 0.8891 | [X:[1.3536, 1.3536], M:[0.6464], q:[0.4613, 0.4917], qb:[0.5387, 0.569], phi:[0.3232]] | t^2.91 + t^3. + 2*t^3.09 + t^3.18 + t^3.97 + 3*t^4.06 + t^4.15 + t^4.94 + 2*t^5.03 + t^5.12 + t^5.21 + t^5.3 + t^5.82 - t^3.97/y - t^4.94/y - t^3.97*y - t^4.94*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47900 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.495 | 1.7254 | 0.8664 | [M:[0.6707], q:[0.4996, 0.493], qb:[0.5004, 0.4921], phi:[0.3358]] | t^2.012 + t^2.015 + t^2.955 + t^2.975 + t^2.98 + t^3. + t^3.022 + t^3.963 + t^3.982 + t^4.007 + t^4.024 + t^4.027 + t^4.03 + t^4.968 + 2*t^4.97 + t^4.987 + 2*t^4.99 + t^4.993 + 2*t^4.995 + t^5.012 + 2*t^5.015 + t^5.035 + t^5.037 + t^5.462 + t^5.464 + t^5.484 + t^5.486 + t^5.911 + t^5.93 + t^5.936 + t^5.95 + 2*t^5.955 + t^5.961 + t^5.975 + 2*t^5.978 + t^5.995 + 2*t^5.997 - 3*t^6. - t^4.007/y - t^5.015/y - t^4.007*y - t^5.015*y | detail |