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 |
|---|---|---|---|---|---|---|---|---|---|
| 1049 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.7054 | 0.8858 | 0.7964 | [M:[1.0, 1.1139, 0.9874, 0.6709, 0.7722, 0.7848], q:[0.7785, 0.4367], qb:[0.5633, 0.4494], phi:[0.443]] | [M:[[0], [4], [-18], [6], [-8], [10]], q:[[1], [-11]], qb:[[11], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}\phi_{1}q_{2}^{2}$ | ${}$ | -1 | t^2.013 + t^2.316 + t^2.354 + t^2.658 + t^2.962 + t^3. + t^3.342 + t^3.949 + 3*t^4.025 + 2*t^4.329 + 2*t^4.367 + t^4.633 + 2*t^4.671 + 2*t^4.709 + 2*t^4.975 + 2*t^5.013 + t^5.279 + 3*t^5.316 + 2*t^5.354 + t^5.658 + t^5.696 + t^5.924 + t^5.962 - t^6. + 2*t^6.038 + t^6.266 + t^6.304 + 3*t^6.342 + 3*t^6.38 + t^6.608 + t^6.646 + 5*t^6.684 + 3*t^6.721 + t^6.912 + t^6.949 + 3*t^6.987 + 5*t^7.025 + 2*t^7.063 + 2*t^7.291 + 3*t^7.329 + 4*t^7.367 + t^7.595 + 2*t^7.633 + 3*t^7.671 + 2*t^7.709 + t^7.899 + t^7.937 + 3*t^7.975 - 2*t^8.013 + 5*t^8.051 + t^8.241 + 3*t^8.279 - t^8.316 + 3*t^8.392 + t^8.582 + t^8.62 + 2*t^8.658 + 3*t^8.696 + 6*t^8.734 + t^8.886 + 2*t^8.924 - t^8.962 - t^4.329/y - t^6.342/y - t^6.646/y - t^6.684/y - t^7.291/y + t^7.329/y + (2*t^7.367)/y + (2*t^7.671)/y + (3*t^7.975)/y + (3*t^8.013)/y + t^8.279/y + (3*t^8.316)/y + t^8.354/y + t^8.62/y + t^8.658/y + t^8.962/y - t^4.329*y - t^6.342*y - t^6.646*y - t^6.684*y - t^7.291*y + t^7.329*y + 2*t^7.367*y + 2*t^7.671*y + 3*t^7.975*y + 3*t^8.013*y + t^8.279*y + 3*t^8.316*y + t^8.354*y + t^8.62*y + t^8.658*y + t^8.962*y | g1^6*t^2.013 + t^2.316/g1^8 + g1^10*t^2.354 + t^2.658/g1^4 + t^2.962/g1^18 + t^3. + g1^4*t^3.342 + t^3.949/g1^24 + 3*g1^12*t^4.025 + (2*t^4.329)/g1^2 + 2*g1^16*t^4.367 + t^4.633/g1^16 + 2*g1^2*t^4.671 + 2*g1^20*t^4.709 + (2*t^4.975)/g1^12 + 2*g1^6*t^5.013 + t^5.279/g1^26 + (3*t^5.316)/g1^8 + 2*g1^10*t^5.354 + t^5.658/g1^4 + g1^14*t^5.696 + t^5.924/g1^36 + t^5.962/g1^18 - t^6. + 2*g1^18*t^6.038 + t^6.266/g1^32 + t^6.304/g1^14 + 3*g1^4*t^6.342 + 3*g1^22*t^6.38 + t^6.608/g1^28 + t^6.646/g1^10 + 5*g1^8*t^6.684 + 3*g1^26*t^6.721 + t^6.912/g1^42 + t^6.949/g1^24 + (3*t^6.987)/g1^6 + 5*g1^12*t^7.025 + 2*g1^30*t^7.063 + (2*t^7.291)/g1^20 + (3*t^7.329)/g1^2 + 4*g1^16*t^7.367 + t^7.595/g1^34 + (2*t^7.633)/g1^16 + 3*g1^2*t^7.671 + 2*g1^20*t^7.709 + t^7.899/g1^48 + t^7.937/g1^30 + (3*t^7.975)/g1^12 - 2*g1^6*t^8.013 + 5*g1^24*t^8.051 + t^8.241/g1^44 + (3*t^8.279)/g1^26 - t^8.316/g1^8 + 3*g1^28*t^8.392 + t^8.582/g1^40 + t^8.62/g1^22 + (2*t^8.658)/g1^4 + 3*g1^14*t^8.696 + 6*g1^32*t^8.734 + t^8.886/g1^54 + (2*t^8.924)/g1^36 - t^8.962/g1^18 - t^4.329/(g1^2*y) - (g1^4*t^6.342)/y - t^6.646/(g1^10*y) - (g1^8*t^6.684)/y - t^7.291/(g1^20*y) + t^7.329/(g1^2*y) + (2*g1^16*t^7.367)/y + (2*g1^2*t^7.671)/y + (3*t^7.975)/(g1^12*y) + (3*g1^6*t^8.013)/y + t^8.279/(g1^26*y) + (3*t^8.316)/(g1^8*y) + (g1^10*t^8.354)/y + t^8.62/(g1^22*y) + t^8.658/(g1^4*y) + t^8.962/(g1^18*y) - (t^4.329*y)/g1^2 - g1^4*t^6.342*y - (t^6.646*y)/g1^10 - g1^8*t^6.684*y - (t^7.291*y)/g1^20 + (t^7.329*y)/g1^2 + 2*g1^16*t^7.367*y + 2*g1^2*t^7.671*y + (3*t^7.975*y)/g1^12 + 3*g1^6*t^8.013*y + (t^8.279*y)/g1^26 + (3*t^8.316*y)/g1^8 + g1^10*t^8.354*y + (t^8.62*y)/g1^22 + (t^8.658*y)/g1^4 + (t^8.962*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1634 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{2}M_{6}$ | 0.6893 | 0.8679 | 0.7942 | [M:[1.0, 1.1429, 0.8571, 0.7143, 0.7143, 0.8571], q:[0.7857, 0.3571], qb:[0.6429, 0.5], phi:[0.4286]] | 2*t^2.143 + 3*t^2.571 + t^3. + 2*t^3.429 + 6*t^4.286 + 7*t^4.714 + 8*t^5.143 + 5*t^5.571 + 3*t^6. - t^4.286/y - t^4.286*y | detail | {a: 3783/5488, c: 4763/5488, M1: 1, M2: 8/7, M3: 6/7, M4: 5/7, M5: 5/7, M6: 6/7, q1: 11/14, q2: 5/14, qb1: 9/14, qb2: 1/2, phi1: 3/7} |
| 1633 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7262 | 0.9268 | 0.7836 | [M:[1.0, 1.1129, 0.9918, 0.6694, 0.7741, 0.7823, 0.6776], q:[0.7782, 0.4394], qb:[0.5606, 0.4476], phi:[0.4435]] | t^2.008 + t^2.033 + t^2.322 + t^2.347 + t^2.661 + t^2.975 + t^3. + t^3.339 + 3*t^4.016 + t^4.041 + t^4.066 + 2*t^4.331 + 3*t^4.355 + t^4.38 + t^4.645 + 2*t^4.669 + 3*t^4.694 + 2*t^4.984 + 3*t^5.008 + t^5.033 + t^5.298 + 3*t^5.322 + 2*t^5.347 + t^5.372 + t^5.661 + t^5.686 + t^5.951 - t^6. - t^4.331/y - t^4.331*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 |
|---|---|---|---|---|---|---|---|---|---|
| 659 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6883 | 0.8556 | 0.8045 | [M:[1.0, 1.1178, 0.9699, 0.6767, 0.7644], q:[0.7794, 0.4261], qb:[0.5739, 0.4561], phi:[0.4411]] | t^2.03 + t^2.293 + t^2.647 + t^2.91 + t^3. + t^3.353 + t^3.617 + t^3.88 + 3*t^4.06 + 2*t^4.323 + t^4.414 + t^4.586 + t^4.677 + t^4.767 + 2*t^4.94 + t^5.03 + t^5.203 + 2*t^5.293 + t^5.383 + 2*t^5.647 + t^5.82 + 2*t^5.91 - t^6. - t^4.323/y - t^4.323*y | detail |