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 |
|---|---|---|---|---|---|---|---|---|---|
| 4370 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6862 | 0.8793 | 0.7804 | [M:[0.7638, 1.0246, 1.1871, 1.138, 0.8129, 0.862, 0.8129, 0.7485], q:[0.4801, 0.7561], qb:[0.3819, 0.431], phi:[0.4877]] | [M:[[-34], [12], [10], [-14], [-10], [14], [-10], [40]], q:[[31], [3]], qb:[[-17], [7]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{8}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{8}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{1}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{8}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{8}$, ${ }M_{2}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.246 + t^2.291 + 2*t^2.439 + t^2.586 + t^2.733 + t^3.074 + t^3.414 + t^3.902 + 2*t^4.049 + t^4.196 + t^4.344 + t^4.491 + t^4.537 + t^4.583 + 2*t^4.684 + 2*t^4.73 + t^4.832 + 4*t^4.877 + t^4.979 + 3*t^5.025 + 3*t^5.172 + 2*t^5.319 + t^5.365 + t^5.467 + 2*t^5.512 + 2*t^5.66 + t^5.807 - 2*t^6. + t^6.193 + t^6.295 + 3*t^6.34 + t^6.442 + 5*t^6.488 + t^6.589 + 4*t^6.635 + t^6.737 + 5*t^6.782 + t^6.874 + 4*t^6.93 + t^6.975 + 2*t^7.021 + 2*t^7.077 + 3*t^7.123 + 3*t^7.168 + t^7.224 + 3*t^7.27 + 5*t^7.316 + 3*t^7.417 + 4*t^7.463 + 2*t^7.565 + 4*t^7.611 + t^7.656 + t^7.712 + 4*t^7.758 + 2*t^7.804 + 4*t^7.905 + 4*t^7.951 + 2*t^8.053 + 4*t^8.098 - 2*t^8.144 + t^8.2 + 2*t^8.246 - 4*t^8.291 + 3*t^8.393 - 7*t^8.439 + t^8.484 + 3*t^8.54 - 4*t^8.586 + 3*t^8.632 + 2*t^8.688 - t^8.733 + 5*t^8.779 + t^8.835 + 2*t^8.881 + 7*t^8.926 + t^8.982 - t^4.463/y - t^6.709/y - t^6.754/y - t^6.902/y + t^7.537/y + (2*t^7.684)/y + (2*t^7.73)/y + t^7.832/y + (2*t^7.877)/y + t^7.979/y + (4*t^8.025)/y + (3*t^8.172)/y + t^8.218/y + (2*t^8.319)/y + t^8.365/y + (2*t^8.512)/y + (2*t^8.66)/y + t^8.705/y + t^8.807/y + (2*t^8.853)/y - t^8.954/y - t^4.463*y - t^6.709*y - t^6.754*y - t^6.902*y + t^7.537*y + 2*t^7.684*y + 2*t^7.73*y + t^7.832*y + 2*t^7.877*y + t^7.979*y + 4*t^8.025*y + 3*t^8.172*y + t^8.218*y + 2*t^8.319*y + t^8.365*y + 2*t^8.512*y + 2*t^8.66*y + t^8.705*y + t^8.807*y + 2*t^8.853*y - t^8.954*y | g1^40*t^2.246 + t^2.291/g1^34 + (2*t^2.439)/g1^10 + g1^14*t^2.586 + g1^38*t^2.733 + g1^12*t^3.074 + t^3.414/g1^14 + t^3.902/g1^16 + 2*g1^8*t^4.049 + g1^32*t^4.196 + g1^56*t^4.344 + g1^80*t^4.491 + g1^6*t^4.537 + t^4.583/g1^68 + 2*g1^30*t^4.684 + (2*t^4.73)/g1^44 + g1^54*t^4.832 + (4*t^4.877)/g1^20 + g1^78*t^4.979 + 3*g1^4*t^5.025 + 3*g1^28*t^5.172 + 2*g1^52*t^5.319 + t^5.365/g1^22 + g1^76*t^5.467 + 2*g1^2*t^5.512 + 2*g1^26*t^5.66 + g1^50*t^5.807 - 2*t^6. + t^6.193/g1^50 + g1^48*t^6.295 + (3*t^6.34)/g1^26 + g1^72*t^6.442 + (5*t^6.488)/g1^2 + g1^96*t^6.589 + 4*g1^22*t^6.635 + g1^120*t^6.737 + 5*g1^46*t^6.782 + t^6.874/g1^102 + 4*g1^70*t^6.93 + t^6.975/g1^4 + (2*t^7.021)/g1^78 + 2*g1^94*t^7.077 + 3*g1^20*t^7.123 + (3*t^7.168)/g1^54 + g1^118*t^7.224 + 3*g1^44*t^7.27 + (5*t^7.316)/g1^30 + 3*g1^68*t^7.417 + (4*t^7.463)/g1^6 + 2*g1^92*t^7.565 + 4*g1^18*t^7.611 + t^7.656/g1^56 + g1^116*t^7.712 + 4*g1^42*t^7.758 + (2*t^7.804)/g1^32 + 4*g1^66*t^7.905 + (4*t^7.951)/g1^8 + 2*g1^90*t^8.053 + 4*g1^16*t^8.098 - (2*t^8.144)/g1^58 + g1^114*t^8.2 + 2*g1^40*t^8.246 - (4*t^8.291)/g1^34 + 3*g1^64*t^8.393 - (7*t^8.439)/g1^10 + t^8.484/g1^84 + 3*g1^88*t^8.54 - 4*g1^14*t^8.586 + (3*t^8.632)/g1^60 + 2*g1^112*t^8.688 - g1^38*t^8.733 + (5*t^8.779)/g1^36 + g1^136*t^8.835 + 2*g1^62*t^8.881 + (7*t^8.926)/g1^12 + g1^160*t^8.982 - t^4.463/(g1^6*y) - (g1^34*t^6.709)/y - t^6.754/(g1^40*y) - t^6.902/(g1^16*y) + (g1^6*t^7.537)/y + (2*g1^30*t^7.684)/y + (2*t^7.73)/(g1^44*y) + (g1^54*t^7.832)/y + (2*t^7.877)/(g1^20*y) + (g1^78*t^7.979)/y + (4*g1^4*t^8.025)/y + (3*g1^28*t^8.172)/y + t^8.218/(g1^46*y) + (2*g1^52*t^8.319)/y + t^8.365/(g1^22*y) + (2*g1^2*t^8.512)/y + (2*g1^26*t^8.66)/y + t^8.705/(g1^48*y) + (g1^50*t^8.807)/y + (2*t^8.853)/(g1^24*y) - (g1^74*t^8.954)/y - (t^4.463*y)/g1^6 - g1^34*t^6.709*y - (t^6.754*y)/g1^40 - (t^6.902*y)/g1^16 + g1^6*t^7.537*y + 2*g1^30*t^7.684*y + (2*t^7.73*y)/g1^44 + g1^54*t^7.832*y + (2*t^7.877*y)/g1^20 + g1^78*t^7.979*y + 4*g1^4*t^8.025*y + 3*g1^28*t^8.172*y + (t^8.218*y)/g1^46 + 2*g1^52*t^8.319*y + (t^8.365*y)/g1^22 + 2*g1^2*t^8.512*y + 2*g1^26*t^8.66*y + (t^8.705*y)/g1^48 + g1^50*t^8.807*y + (2*t^8.853*y)/g1^24 - g1^74*t^8.954*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 5833 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{9}$ | 0.6742 | 0.8581 | 0.7856 | [M:[0.7534, 1.0282, 1.1902, 1.1338, 0.8098, 0.8662, 0.8098, 0.7607, 1.1338], q:[0.4895, 0.757], qb:[0.3767, 0.4331], phi:[0.4859]] | t^2.26 + t^2.282 + 2*t^2.43 + t^2.768 + t^3.085 + 2*t^3.401 + t^3.887 + 2*t^4.056 + t^4.226 + t^4.395 + t^4.521 + t^4.542 + t^4.564 + 2*t^4.69 + 2*t^4.711 + 3*t^4.859 + t^5.028 + t^5.05 + 2*t^5.197 + t^5.345 + t^5.367 + 2*t^5.514 + t^5.536 + t^5.662 + 2*t^5.683 + 2*t^5.831 + t^5.852 - 3*t^6. - t^4.458/y - t^4.458*y | detail | |
| 5832 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}^{2}$ + ${ }M_{1}X_{1}$ | 0.6028 | 0.7528 | 0.8007 | [X:[1.45], M:[0.55, 1.1, 1.25, 1.05, 0.75, 0.95, 0.75, 1.0], q:[0.675, 0.775], qb:[0.275, 0.475], phi:[0.45]] | 2*t^2.25 + t^2.85 + t^3. + t^3.15 + t^3.3 + t^3.45 + t^3.6 + 2*t^4.2 + t^4.35 + 3*t^4.5 + 2*t^5.1 + 2*t^5.25 + t^5.4 + 2*t^5.55 + 3*t^5.7 + 2*t^5.85 - t^6. - t^4.35/y - t^4.35*y | detail | {a: 77157/128000, c: 96357/128000, X1: 29/20, M1: 11/20, M2: 11/10, M3: 5/4, M4: 21/20, M5: 3/4, M6: 19/20, M7: 3/4, M8: 1, q1: 27/40, q2: 31/40, qb1: 11/40, qb2: 19/40, phi1: 9/20} |
| 5834 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7068 | 0.9189 | 0.7692 | [M:[0.7663, 1.0237, 1.1864, 1.1391, 0.8136, 0.8609, 0.8136, 0.7456, 0.6982], q:[0.4778, 0.7559], qb:[0.3831, 0.4305], phi:[0.4882]] | t^2.095 + t^2.237 + t^2.299 + 2*t^2.441 + t^2.583 + t^2.725 + t^3.071 + t^3.417 + 2*t^4.047 + 2*t^4.189 + 2*t^4.331 + t^4.393 + t^4.473 + 3*t^4.536 + t^4.598 + 3*t^4.678 + 2*t^4.74 + 2*t^4.82 + 4*t^4.882 + t^4.962 + 3*t^5.024 + 4*t^5.166 + 2*t^5.308 + t^5.37 + t^5.45 + 3*t^5.512 + 2*t^5.654 + t^5.796 - 2*t^6. - t^4.464/y - t^4.464*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2369 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6675 | 0.845 | 0.79 | [M:[0.7452, 1.0311, 1.1926, 1.1304, 0.8074, 0.8696, 0.8074], q:[0.497, 0.7578], qb:[0.3726, 0.4348], phi:[0.4845]] | t^2.236 + 2*t^2.422 + t^2.609 + t^2.795 + t^3.093 + t^3.391 + t^3.689 + t^3.876 + 2*t^4.062 + t^4.249 + t^4.435 + t^4.471 + 2*t^4.658 + 4*t^4.845 + 3*t^5.031 + 3*t^5.218 + t^5.329 + t^5.404 + 2*t^5.516 + t^5.591 + t^5.702 + t^5.889 + t^5.925 - 2*t^6. - t^4.453/y - t^4.453*y | detail |