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 |
|---|---|---|---|---|---|---|---|---|---|
| 2349 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{1}M_{8}$ | 0.7136 | 0.8827 | 0.8084 | [M:[1.0914, 1.0457, 0.8172, 0.9603, 0.9483, 1.0, 0.9086, 0.9086], q:[0.4742, 0.4344], qb:[0.5656, 0.6173], phi:[0.4771]] | [M:[[4, 4], [2, 2], [-8, -8], [-12, 4], [8, -8], [0, 0], [-4, -4], [-4, -4]], q:[[4, -4], [-8, 0]], qb:[[8, 0], [0, 8]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{7}$, ${ }M_{8}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{2}M_{5}$ | ${}$ | -3 | t^2.452 + 2*t^2.726 + t^2.845 + t^2.881 + t^3. + t^3.137 + t^4.038 + t^4.157 + t^4.276 + t^4.431 + t^4.551 + t^4.587 + t^4.706 + t^4.825 + t^4.903 + t^4.98 + t^5.135 + 2*t^5.177 + t^5.296 + t^5.332 + 3*t^5.452 + t^5.571 + t^5.589 + t^5.607 + t^5.69 + 2*t^5.726 + t^5.762 + 2*t^5.863 + t^5.982 - 3*t^6. + t^6.018 - t^6.119 + t^6.137 - t^6.155 - t^6.274 - t^6.393 - t^6.429 + t^6.49 - t^6.548 + t^6.609 + t^6.728 + 2*t^6.764 + 3*t^6.883 + t^6.919 + 3*t^7.002 + 2*t^7.038 + t^7.121 + 3*t^7.157 + 3*t^7.276 + t^7.312 + t^7.355 + t^7.395 + 2*t^7.431 + t^7.467 + 2*t^7.551 + t^7.587 + 2*t^7.629 + t^7.67 + t^7.748 + t^7.784 + t^7.861 + 3*t^7.903 + t^8.016 + t^8.022 + t^8.04 + t^8.058 + t^8.076 - t^8.099 + t^8.141 + 4*t^8.177 + t^8.195 + t^8.213 - t^8.254 + t^8.296 + 3*t^8.314 + t^8.416 + 2*t^8.434 - 2*t^8.452 + 2*t^8.47 + t^8.488 + t^8.535 + t^8.553 - t^8.571 + 4*t^8.589 - t^8.607 + t^8.625 + t^8.643 + 2*t^8.708 - 7*t^8.726 + 2*t^8.744 + 2*t^8.827 - 6*t^8.845 + 4*t^8.863 - 5*t^8.881 + t^8.899 + t^8.941 - t^8.964 + 2*t^8.982 - t^4.431/y - t^6.883/y - t^7.157/y - t^7.276/y - t^7.312/y + t^7.551/y + t^7.587/y + t^7.706/y + t^7.98/y + (2*t^8.177)/y + t^8.296/y + t^8.332/y + (2*t^8.452)/y + (2*t^8.571)/y + t^8.589/y + (2*t^8.607)/y + (3*t^8.726)/y + t^8.845/y + (2*t^8.863)/y + t^8.881/y + t^8.982/y - t^4.431*y - t^6.883*y - t^7.157*y - t^7.276*y - t^7.312*y + t^7.551*y + t^7.587*y + t^7.706*y + t^7.98*y + 2*t^8.177*y + t^8.296*y + t^8.332*y + 2*t^8.452*y + 2*t^8.571*y + t^8.589*y + 2*t^8.607*y + 3*t^8.726*y + t^8.845*y + 2*t^8.863*y + t^8.881*y + t^8.982*y | t^2.452/(g1^8*g2^8) + (2*t^2.726)/(g1^4*g2^4) + (g1^8*t^2.845)/g2^8 + (g2^4*t^2.881)/g1^12 + t^3. + g1^2*g2^2*t^3.137 + t^4.038/(g1^17*g2) + t^4.157/(g1^5*g2^5) + (g1^7*t^4.276)/g2^9 + t^4.431/(g1*g2) + (g1^11*t^4.551)/g2^5 + (g2^7*t^4.587)/g1^9 + g1^3*g2^3*t^4.706 + (g1^15*t^4.825)/g2 + t^4.903/(g1^16*g2^16) + g1^7*g2^7*t^4.98 + (g2^15*t^5.135)/g1 + (2*t^5.177)/(g1^12*g2^12) + t^5.296/g2^16 + t^5.332/(g1^20*g2^4) + (3*t^5.452)/(g1^8*g2^8) + (g1^4*t^5.571)/g2^12 + t^5.589/(g1^6*g2^6) + t^5.607/g1^16 + (g1^16*t^5.69)/g2^16 + (2*t^5.726)/(g1^4*g2^4) + (g2^8*t^5.762)/g1^24 + (2*t^5.863)/(g1^2*g2^2) + (g1^10*t^5.982)/g2^6 - 3*t^6. + (g2^6*t^6.018)/g1^10 - (g1^12*t^6.119)/g2^4 + g1^2*g2^2*t^6.137 - (g2^8*t^6.155)/g1^8 - g1^4*g2^4*t^6.274 - g1^16*t^6.393 - (g2^12*t^6.429)/g1^4 + t^6.49/(g1^25*g2^9) - g1^8*g2^8*t^6.548 + t^6.609/(g1^13*g2^13) + t^6.728/(g1*g2^17) + (2*t^6.764)/(g1^21*g2^5) + (3*t^6.883)/(g1^9*g2^9) + (g2^3*t^6.919)/g1^29 + (3*g1^3*t^7.002)/g2^13 + (2*t^7.038)/(g1^17*g2) + (g1^15*t^7.121)/g2^17 + (3*t^7.157)/(g1^5*g2^5) + (3*g1^7*t^7.276)/g2^9 + (g2^3*t^7.312)/g1^13 + t^7.355/(g1^24*g2^24) + (g1^19*t^7.395)/g2^13 + (2*t^7.431)/(g1*g2) + (g2^11*t^7.467)/g1^21 + (2*g1^11*t^7.551)/g2^5 + (g2^7*t^7.587)/g1^9 + (2*t^7.629)/(g1^20*g2^20) + (g1^23*t^7.67)/g2^9 + t^7.748/(g1^8*g2^24) + t^7.784/(g1^28*g2^12) + (g2^11*t^7.861)/g1^5 + (3*t^7.903)/(g1^16*g2^16) + (g2^19*t^8.016)/g1^13 + t^8.022/(g1^4*g2^20) + t^8.04/(g1^14*g2^14) + t^8.058/(g1^24*g2^8) + t^8.076/(g1^34*g2^2) - g1^19*g2^3*t^8.099 + (g1^8*t^8.141)/g2^24 + (4*t^8.177)/(g1^12*g2^12) + t^8.195/(g1^22*g2^6) + t^8.213/g1^32 - g1^11*g2^11*t^8.254 + t^8.296/g2^16 + (3*t^8.314)/(g1^10*g2^10) + (g1^12*t^8.416)/g2^20 + (2*g1^2*t^8.434)/g2^14 - (2*t^8.452)/(g1^8*g2^8) + (2*t^8.47)/(g1^18*g2^2) + (g2^4*t^8.488)/g1^28 + (g1^24*t^8.535)/g2^24 + (g1^14*t^8.553)/g2^18 - (g1^4*t^8.571)/g2^12 + (4*t^8.589)/(g1^6*g2^6) - t^8.607/g1^16 + (g2^6*t^8.625)/g1^26 + (g2^12*t^8.643)/g1^36 + (2*g1^6*t^8.708)/g2^10 - (7*t^8.726)/(g1^4*g2^4) + (2*g2^2*t^8.744)/g1^14 + (2*g1^18*t^8.827)/g2^14 - (6*g1^8*t^8.845)/g2^8 + (4*t^8.863)/(g1^2*g2^2) - (5*g2^4*t^8.881)/g1^12 + (g2^10*t^8.899)/g1^22 + t^8.941/(g1^33*g2^17) - (g1^20*t^8.964)/g2^12 + (2*g1^10*t^8.982)/g2^6 - t^4.431/(g1*g2*y) - t^6.883/(g1^9*g2^9*y) - t^7.157/(g1^5*g2^5*y) - (g1^7*t^7.276)/(g2^9*y) - (g2^3*t^7.312)/(g1^13*y) + (g1^11*t^7.551)/(g2^5*y) + (g2^7*t^7.587)/(g1^9*y) + (g1^3*g2^3*t^7.706)/y + (g1^7*g2^7*t^7.98)/y + (2*t^8.177)/(g1^12*g2^12*y) + t^8.296/(g2^16*y) + t^8.332/(g1^20*g2^4*y) + (2*t^8.452)/(g1^8*g2^8*y) + (2*g1^4*t^8.571)/(g2^12*y) + t^8.589/(g1^6*g2^6*y) + (2*t^8.607)/(g1^16*y) + (3*t^8.726)/(g1^4*g2^4*y) + (g1^8*t^8.845)/(g2^8*y) + (2*t^8.863)/(g1^2*g2^2*y) + (g2^4*t^8.881)/(g1^12*y) + (g1^10*t^8.982)/(g2^6*y) - (t^4.431*y)/(g1*g2) - (t^6.883*y)/(g1^9*g2^9) - (t^7.157*y)/(g1^5*g2^5) - (g1^7*t^7.276*y)/g2^9 - (g2^3*t^7.312*y)/g1^13 + (g1^11*t^7.551*y)/g2^5 + (g2^7*t^7.587*y)/g1^9 + g1^3*g2^3*t^7.706*y + g1^7*g2^7*t^7.98*y + (2*t^8.177*y)/(g1^12*g2^12) + (t^8.296*y)/g2^16 + (t^8.332*y)/(g1^20*g2^4) + (2*t^8.452*y)/(g1^8*g2^8) + (2*g1^4*t^8.571*y)/g2^12 + (t^8.589*y)/(g1^6*g2^6) + (2*t^8.607*y)/g1^16 + (3*t^8.726*y)/(g1^4*g2^4) + (g1^8*t^8.845*y)/g2^8 + (2*t^8.863*y)/(g1^2*g2^2) + (g2^4*t^8.881*y)/g1^12 + (g1^10*t^8.982*y)/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 |
|---|---|---|---|---|---|---|---|---|
| 4343 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{4}$ | 0.6987 | 0.8593 | 0.8131 | [M:[1.0307, 1.0154, 0.9385, 1.0615, 0.9078, 1.0, 0.9693, 0.9693], q:[0.4539, 0.5154], qb:[0.4846, 0.5769], phi:[0.4923]] | t^2.723 + t^2.816 + 2*t^2.908 + t^3. + t^3.046 + t^3.184 + t^4.2 + t^4.292 + 2*t^4.385 + t^4.477 + 2*t^4.569 + t^4.661 + t^4.754 + t^4.938 + t^5.447 + t^5.539 + 2*t^5.631 + 2*t^5.723 + t^5.769 + 2*t^5.816 + t^5.862 + t^5.908 + 2*t^5.954 - 2*t^6. - t^4.477/y - t^4.477*y | detail | |
| 4342 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{5}$ | 0.6985 | 0.859 | 0.8132 | [M:[1.0297, 1.0148, 0.9407, 0.911, 1.0593, 1.0, 0.9703, 0.9703], q:[0.5297, 0.4407], qb:[0.5593, 0.5], phi:[0.4926]] | t^2.733 + t^2.822 + 2*t^2.911 + t^3. + t^3.045 + t^3.178 + t^4.122 + t^4.3 + t^4.389 + 2*t^4.478 + t^4.567 + 2*t^4.656 + t^4.745 + t^4.834 + t^5.466 + t^5.555 + 2*t^5.644 + 2*t^5.733 + t^5.777 + 2*t^5.822 + t^5.866 + t^5.911 + 2*t^5.955 - 2*t^6. - t^4.478/y - t^4.478*y | detail | |
| 4345 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{1}M_{8}$ + ${ }M_{4}M_{7}$ | 0.7044 | 0.8684 | 0.8112 | [M:[1.0547, 1.0273, 0.8907, 1.0547, 0.8907, 1.0, 0.9453, 0.9453], q:[0.4453, 0.5], qb:[0.5, 0.6093], phi:[0.4863]] | 2*t^2.672 + 2*t^2.836 + t^3. + t^3.082 + t^3.164 + t^4.131 + 2*t^4.295 + 3*t^4.459 + t^4.623 + 2*t^4.787 + t^5.115 + 3*t^5.344 + 3*t^5.508 + 3*t^5.672 + 2*t^5.754 + 2*t^5.836 + 2*t^5.918 - 3*t^6. - t^4.459/y - t^4.459*y | detail | |
| 4344 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{1}M_{8}$ + ${ }M_{5}M_{7}$ | 0.7039 | 0.8673 | 0.8115 | [M:[1.0512, 1.0256, 0.8975, 0.8975, 1.0512, 1.0, 0.9488, 0.9488], q:[0.5256, 0.4231], qb:[0.5769, 0.5256], phi:[0.4872]] | 2*t^2.693 + 2*t^2.846 + t^3. + t^3.077 + t^3.154 + t^4. + 2*t^4.308 + t^4.462 + 3*t^4.615 + 2*t^4.769 + t^4.923 + 3*t^5.385 + 3*t^5.539 + 3*t^5.693 + 2*t^5.769 + 2*t^5.846 + 2*t^5.923 - 3*t^6. - t^4.462/y - t^4.462*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1316 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ | 0.706 | 0.8681 | 0.8132 | [M:[1.0752, 1.0376, 0.8495, 0.9665, 0.9583, 1.0, 0.9248], q:[0.4791, 0.4456], qb:[0.5544, 0.5961], phi:[0.4812]] | t^2.549 + t^2.774 + t^2.875 + t^2.899 + t^3. + t^3.113 + t^3.226 + t^4.117 + t^4.218 + t^4.318 + t^4.444 + t^4.544 + t^4.569 + t^4.669 + t^4.77 + t^4.895 + t^5.02 + t^5.097 + t^5.323 + t^5.423 + t^5.448 + t^5.549 + t^5.661 + t^5.75 + 2*t^5.774 + t^5.799 + t^5.887 + t^5.988 - 2*t^6. - t^4.444/y - t^4.444*y | detail |