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 |
|---|---|---|---|---|---|---|---|---|---|
| 588 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ | 0.7293 | 0.896 | 0.8139 | [M:[1.0, 0.7765, 0.8995, 0.877, 1.0], q:[0.5503, 0.4497], qb:[0.5503, 0.6733], phi:[0.4441]] | [M:[[0, 0], [-4, -4], [-8, 0], [4, -4], [0, 0]], q:[[4, 0], [-4, 0]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{1}M_{5}$ | -2 | t^2.329 + t^2.631 + t^2.665 + t^2.698 + 2*t^3. + t^3.671 + t^4.031 + 2*t^4.332 + 3*t^4.634 + t^4.659 + t^4.701 + t^4.96 + t^4.994 + 2*t^5.003 + t^5.028 + t^5.262 + t^5.296 + 3*t^5.329 + t^5.363 + t^5.372 + t^5.397 + 2*t^5.665 - 2*t^6. - t^6.302 + t^6.335 + t^6.36 - t^6.369 + 2*t^6.662 + t^6.695 + t^6.729 + 3*t^6.963 + t^6.988 + 2*t^6.997 + 3*t^7.031 + 3*t^7.265 + t^7.29 + 3*t^7.299 + t^7.324 + 4*t^7.332 + t^7.341 + t^7.357 + t^7.4 + t^7.591 + t^7.625 + 4*t^7.634 + 3*t^7.659 + t^7.693 + 2*t^7.701 + t^7.726 + t^7.893 + t^7.927 + 2*t^7.96 - 3*t^7.969 + 3*t^7.994 + t^8.003 + t^8.028 + 2*t^8.062 + t^8.07 + t^8.095 + t^8.305 - 2*t^8.329 - 2*t^8.338 + 2*t^8.363 + t^8.372 - 6*t^8.631 + t^8.665 + t^8.674 + t^8.69 - 5*t^8.698 - t^8.707 + t^8.732 - t^8.933 + 3*t^8.966 + 2*t^8.991 - t^4.332/y - t^6.662/y - t^6.963/y - t^6.997/y - t^7.031/y + t^7.634/y + t^7.668/y + t^7.701/y + t^7.96/y + t^7.994/y + t^8.003/y + t^8.028/y + t^8.296/y + (3*t^8.329)/y + t^8.363/y + (2*t^8.631)/y + (2*t^8.665)/y + (2*t^8.698)/y - t^8.991/y - t^4.332*y - t^6.662*y - t^6.963*y - t^6.997*y - t^7.031*y + t^7.634*y + t^7.668*y + t^7.701*y + t^7.96*y + t^7.994*y + t^8.003*y + t^8.028*y + t^8.296*y + 3*t^8.329*y + t^8.363*y + 2*t^8.631*y + 2*t^8.665*y + 2*t^8.698*y - t^8.991*y | t^2.329/(g1^4*g2^4) + (g1^4*t^2.631)/g2^4 + t^2.665/(g1^2*g2^2) + t^2.698/g1^8 + 2*t^3. + g1^4*g2^4*t^3.671 + t^4.031/(g1^9*g2) + (2*t^4.332)/(g1*g2) + (3*g1^7*t^4.634)/g2 + t^4.659/(g1^8*g2^8) + (g2^3*t^4.701)/g1^5 + t^4.96/g2^8 + t^4.994/(g1^6*g2^6) + 2*g1^3*g2^3*t^5.003 + t^5.028/(g1^12*g2^4) + (g1^8*t^5.262)/g2^8 + (g1^2*t^5.296)/g2^6 + (3*t^5.329)/(g1^4*g2^4) + t^5.363/(g1^10*g2^2) + (g2^7*t^5.372)/g1 + t^5.397/g1^16 + (2*t^5.665)/(g1^2*g2^2) - 2*t^6. - g1^8*t^6.302 + g1^2*g2^2*t^6.335 + t^6.36/(g1^13*g2^5) - (g2^4*t^6.369)/g1^4 + (2*t^6.662)/(g1^5*g2^5) + t^6.695/(g1^11*g2^3) + t^6.729/(g1^17*g2) + (3*g1^3*t^6.963)/g2^5 + t^6.988/(g1^12*g2^12) + (2*t^6.997)/(g1^3*g2^3) + (3*t^7.031)/(g1^9*g2) + (3*g1^11*t^7.265)/g2^5 + t^7.29/(g1^4*g2^12) + (3*g1^5*t^7.299)/g2^3 + t^7.324/(g1^10*g2^10) + (4*t^7.332)/(g1*g2) + g1^8*g2^8*t^7.341 + t^7.357/(g1^16*g2^8) + (g2^3*t^7.4)/g1^13 + (g1^4*t^7.591)/g2^12 + t^7.625/(g1^2*g2^10) + (4*g1^7*t^7.634)/g2 + (3*t^7.659)/(g1^8*g2^8) + t^7.693/(g1^14*g2^6) + (2*g2^3*t^7.701)/g1^5 + t^7.726/(g1^20*g2^4) + (g1^12*t^7.893)/g2^12 + (g1^6*t^7.927)/g2^10 + (2*t^7.96)/g2^8 - 3*g1^9*g2*t^7.969 + (3*t^7.994)/(g1^6*g2^6) + g1^3*g2^3*t^8.003 + t^8.028/(g1^12*g2^4) + (2*t^8.062)/(g1^18*g2^2) + (g2^7*t^8.07)/g1^9 + t^8.095/g1^24 + g1^11*g2^3*t^8.305 - (2*t^8.329)/(g1^4*g2^4) - 2*g1^5*g2^5*t^8.338 + (2*t^8.363)/(g1^10*g2^2) + (g2^7*t^8.372)/g1 - (6*g1^4*t^8.631)/g2^4 + t^8.665/(g1^2*g2^2) + g1^7*g2^7*t^8.674 + t^8.69/(g1^17*g2^9) - (5*t^8.698)/g1^8 - g1*g2^9*t^8.707 + (g2^2*t^8.732)/g1^14 - (g1^12*t^8.933)/g2^4 + (3*g1^6*t^8.966)/g2^2 + (2*t^8.991)/(g1^9*g2^9) - t^4.332/(g1*g2*y) - t^6.662/(g1^5*g2^5*y) - (g1^3*t^6.963)/(g2^5*y) - t^6.997/(g1^3*g2^3*y) - t^7.031/(g1^9*g2*y) + (g1^7*t^7.634)/(g2*y) + (g1*g2*t^7.668)/y + (g2^3*t^7.701)/(g1^5*y) + t^7.96/(g2^8*y) + t^7.994/(g1^6*g2^6*y) + (g1^3*g2^3*t^8.003)/y + t^8.028/(g1^12*g2^4*y) + (g1^2*t^8.296)/(g2^6*y) + (3*t^8.329)/(g1^4*g2^4*y) + t^8.363/(g1^10*g2^2*y) + (2*g1^4*t^8.631)/(g2^4*y) + (2*t^8.665)/(g1^2*g2^2*y) + (2*t^8.698)/(g1^8*y) - t^8.991/(g1^9*g2^9*y) - (t^4.332*y)/(g1*g2) - (t^6.662*y)/(g1^5*g2^5) - (g1^3*t^6.963*y)/g2^5 - (t^6.997*y)/(g1^3*g2^3) - (t^7.031*y)/(g1^9*g2) + (g1^7*t^7.634*y)/g2 + g1*g2*t^7.668*y + (g2^3*t^7.701*y)/g1^5 + (t^7.96*y)/g2^8 + (t^7.994*y)/(g1^6*g2^6) + g1^3*g2^3*t^8.003*y + (t^8.028*y)/(g1^12*g2^4) + (g1^2*t^8.296*y)/g2^6 + (3*t^8.329*y)/(g1^4*g2^4) + (t^8.363*y)/(g1^10*g2^2) + (2*g1^4*t^8.631*y)/g2^4 + (2*t^8.665*y)/(g1^2*g2^2) + (2*t^8.698*y)/g1^8 - (t^8.991*y)/(g1^9*g2^9) |
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 |
|---|---|---|---|---|---|---|---|---|
| 917 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ | 0.702 | 0.8612 | 0.8151 | [M:[1.0, 0.937, 1.063, 0.874, 1.0], q:[0.4685, 0.5315], qb:[0.4685, 0.5945], phi:[0.4843]] | t^2.622 + t^2.811 + t^2.906 + 2*t^3. + 2*t^3.189 + 3*t^4.264 + 2*t^4.453 + 3*t^4.642 + t^4.831 + t^5.02 + t^5.244 + t^5.433 + t^5.528 + t^5.622 + t^5.717 + 2*t^5.811 + 2*t^5.906 - t^6. - t^4.453/y - t^4.453*y | detail | |
| 913 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.7017 | 0.8608 | 0.8152 | [M:[1.0, 0.9396, 0.8792, 1.0604, 1.0], q:[0.5604, 0.4396], qb:[0.5604, 0.5], phi:[0.4849]] | t^2.638 + t^2.819 + t^2.909 + 2*t^3. + 2*t^3.181 + t^4.092 + t^4.273 + 3*t^4.455 + 2*t^4.636 + 3*t^4.817 + t^5.275 + t^5.456 + t^5.547 + t^5.638 + t^5.728 + 2*t^5.819 + 2*t^5.909 - t^6. - t^4.455/y - t^4.455*y | detail | |
| 914 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.7092 | 0.8704 | 0.8148 | [M:[1.0, 0.8939, 1.053, 0.8409, 1.0], q:[0.4735, 0.5265], qb:[0.4735, 0.6326], phi:[0.4735]] | t^2.523 + t^2.682 + t^2.841 + 2*t^3. + t^3.159 + t^3.318 + 3*t^4.261 + 2*t^4.42 + t^4.58 + 2*t^4.739 + t^4.898 + t^5.045 + t^5.205 + t^5.216 + 2*t^5.364 + t^5.523 + 3*t^5.682 + 2*t^5.841 - t^6. - t^4.42/y - t^4.42*y | detail | |
| 915 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ | 0.7215 | 0.8862 | 0.8142 | [M:[1.0, 0.8197, 1.0, 0.8197, 1.0], q:[0.5, 0.5], qb:[0.5, 0.6803], phi:[0.4549]] | 2*t^2.459 + t^2.73 + 3*t^3. + t^3.541 + 6*t^4.365 + 3*t^4.906 + 3*t^4.918 + 2*t^5.189 + t^5.446 + 4*t^5.459 + 3*t^5.73 - 2*t^6. - t^4.365/y - t^4.365*y | detail | |
| 912 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.7083 | 0.8692 | 0.8149 | [M:[1.0, 0.9016, 0.8525, 1.0492, 1.0], q:[0.5738, 0.4262], qb:[0.5738, 0.5246], phi:[0.4754]] | t^2.557 + t^2.705 + t^2.852 + 2*t^3. + t^3.148 + t^3.295 + t^3.984 + t^4.279 + 2*t^4.426 + t^4.574 + 2*t^4.721 + 3*t^4.869 + t^5.115 + t^5.262 + 2*t^5.41 + t^5.557 + 3*t^5.705 + 2*t^5.852 - t^6. - t^4.426/y - t^4.426*y | detail | |
| 918 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}^{2}$ | 0.7194 | 0.8833 | 0.8145 | [M:[1.0, 0.8377, 0.8377, 1.0, 1.0], q:[0.5812, 0.4188], qb:[0.5812, 0.5812], phi:[0.4594]] | 2*t^2.513 + t^2.757 + 3*t^3. + t^3.487 + t^3.891 + 3*t^4.378 + 6*t^4.865 + 3*t^5.026 + 2*t^5.27 + 4*t^5.513 + 3*t^5.757 - 2*t^6. - t^4.378/y - t^4.378*y | detail | |
| 916 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7478 | 0.9314 | 0.8029 | [M:[1.0, 0.7502, 0.889, 0.8612, 1.0, 0.7502], q:[0.5555, 0.4445], qb:[0.5555, 0.6943], phi:[0.4375]] | 2*t^2.251 + t^2.584 + t^2.625 + t^2.667 + 2*t^3. + t^3.98 + 2*t^4.313 + 3*t^4.501 + 3*t^4.646 + t^4.729 + 2*t^4.834 + 2*t^4.876 + 2*t^4.917 + 2*t^5.062 + t^5.167 + t^5.209 + 5*t^5.251 + t^5.292 + t^5.334 + t^5.478 + 2*t^5.625 - 3*t^6. - t^4.313/y - t^4.313*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 |
|---|---|---|---|---|---|---|---|---|---|
| 369 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ | 0.7466 | 0.9183 | 0.813 | [M:[0.8355, 0.8355, 0.8355, 0.8355, 1.0], q:[0.6645, 0.5], qb:[0.5, 0.6645], phi:[0.4177]] | 5*t^2.506 + t^3. + t^3.987 + 3*t^4.253 + 4*t^4.747 + 15*t^5.013 + 3*t^5.24 + t^5.506 - 7*t^6. - t^4.253/y - t^4.253*y | detail |