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 |
|---|---|---|---|---|---|---|---|---|---|
| 746 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6663 | 0.822 | 0.8106 | [M:[1.0, 1.1636, 0.9332, 0.8364, 0.788], q:[0.7788, 0.3848], qb:[0.6152, 0.4516], phi:[0.4424]] | [M:[[0], [-3], [-11], [3], [10]], q:[[1], [-4]], qb:[[4], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{5}$ | ${}$ | -1 | t^2.364 + t^2.509 + t^2.654 + t^2.8 + t^3. + t^3.491 + t^3.691 + t^3.836 + t^4.037 + t^4.182 + t^4.327 + t^4.528 + t^4.728 + t^4.873 + 3*t^5.018 + 2*t^5.164 + t^5.309 + t^5.364 + t^5.454 + t^5.599 + t^5.654 + t^5.855 - t^6. + t^6.055 + t^6.2 + t^6.29 + t^6.346 + t^6.401 + t^6.491 + 2*t^6.546 + 2*t^6.691 + t^6.836 + t^6.892 + t^6.982 + t^7.037 + t^7.092 + t^7.182 + t^7.237 + 3*t^7.382 + 4*t^7.528 + 3*t^7.673 + 2*t^7.728 + 2*t^7.818 + t^7.873 + 2*t^7.963 + 2*t^8.018 + t^8.074 + t^8.108 - t^8.164 + 2*t^8.219 + t^8.254 - t^8.364 + t^8.399 + t^8.419 - t^8.509 + 2*t^8.564 - t^8.654 + 2*t^8.71 + t^8.765 - 2*t^8.8 + t^8.855 + 2*t^8.91 - t^4.327/y - t^6.691/y - t^6.982/y - t^7.127/y + t^7.528/y + t^7.673/y + t^7.873/y + t^7.963/y + t^8.018/y + (2*t^8.164)/y + t^8.309/y + t^8.364/y + t^8.454/y + t^8.509/y + t^8.654/y + t^8.8/y + t^8.855/y - t^4.327*y - t^6.691*y - t^6.982*y - t^7.127*y + t^7.528*y + t^7.673*y + t^7.873*y + t^7.963*y + t^8.018*y + 2*t^8.164*y + t^8.309*y + t^8.364*y + t^8.454*y + t^8.509*y + t^8.654*y + t^8.8*y + t^8.855*y | g1^10*t^2.364 + g1^3*t^2.509 + t^2.654/g1^4 + t^2.8/g1^11 + t^3. + t^3.491/g1^3 + g1^8*t^3.691 + g1*t^3.836 + g1^12*t^4.037 + g1^5*t^4.182 + t^4.327/g1^2 + g1^9*t^4.528 + g1^20*t^4.728 + g1^13*t^4.873 + 3*g1^6*t^5.018 + (2*t^5.164)/g1 + t^5.309/g1^8 + g1^10*t^5.364 + t^5.454/g1^15 + t^5.599/g1^22 + t^5.654/g1^4 + g1^7*t^5.855 - t^6. + g1^18*t^6.055 + g1^11*t^6.2 + t^6.29/g1^14 + g1^4*t^6.346 + g1^22*t^6.401 + t^6.491/g1^3 + 2*g1^15*t^6.546 + 2*g1^8*t^6.691 + g1*t^6.836 + g1^19*t^6.892 + t^6.982/g1^6 + g1^12*t^7.037 + g1^30*t^7.092 + g1^5*t^7.182 + g1^23*t^7.237 + 3*g1^16*t^7.382 + 4*g1^9*t^7.528 + 3*g1^2*t^7.673 + 2*g1^20*t^7.728 + (2*t^7.818)/g1^5 + g1^13*t^7.873 + (2*t^7.963)/g1^12 + 2*g1^6*t^8.018 + g1^24*t^8.074 + t^8.108/g1^19 - t^8.164/g1 + 2*g1^17*t^8.219 + t^8.254/g1^26 - g1^10*t^8.364 + t^8.399/g1^33 + g1^28*t^8.419 - g1^3*t^8.509 + 2*g1^21*t^8.564 - t^8.654/g1^4 + 2*g1^14*t^8.71 + g1^32*t^8.765 - (2*t^8.8)/g1^11 + g1^7*t^8.855 + 2*g1^25*t^8.91 - t^4.327/(g1^2*y) - (g1^8*t^6.691)/y - t^6.982/(g1^6*y) - t^7.127/(g1^13*y) + (g1^9*t^7.528)/y + (g1^2*t^7.673)/y + (g1^13*t^7.873)/y + t^7.963/(g1^12*y) + (g1^6*t^8.018)/y + (2*t^8.164)/(g1*y) + t^8.309/(g1^8*y) + (g1^10*t^8.364)/y + t^8.454/(g1^15*y) + (g1^3*t^8.509)/y + t^8.654/(g1^4*y) + t^8.8/(g1^11*y) + (g1^7*t^8.855)/y - (t^4.327*y)/g1^2 - g1^8*t^6.691*y - (t^6.982*y)/g1^6 - (t^7.127*y)/g1^13 + g1^9*t^7.528*y + g1^2*t^7.673*y + g1^13*t^7.873*y + (t^7.963*y)/g1^12 + g1^6*t^8.018*y + (2*t^8.164*y)/g1 + (t^8.309*y)/g1^8 + g1^10*t^8.364*y + (t^8.454*y)/g1^15 + g1^3*t^8.509*y + (t^8.654*y)/g1^4 + (t^8.8*y)/g1^11 + g1^7*t^8.855*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 |
|---|---|---|---|---|---|---|---|---|
| 1228 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ | 0.6209 | 0.7647 | 0.812 | [M:[1.0, 1.1, 0.7, 0.9, 1.0], q:[0.8, 0.3], qb:[0.7, 0.6], phi:[0.4]] | t^2.1 + t^2.4 + t^2.7 + 2*t^3. + t^3.3 + t^3.9 + 3*t^4.2 + 2*t^4.5 + 2*t^4.8 + 3*t^5.1 + 5*t^5.4 + t^5.7 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 19869/32000, c: 24469/32000, M1: 1, M2: 11/10, M3: 7/10, M4: 9/10, M5: 1, q1: 4/5, q2: 3/10, qb1: 7/10, qb2: 3/5, phi1: 2/5} |
| 1231 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6864 | 0.8594 | 0.7987 | [M:[1.0, 1.1632, 0.9317, 0.8368, 0.7894, 0.7211], q:[0.7789, 0.3843], qb:[0.6157, 0.4526], phi:[0.4421]] | t^2.163 + t^2.368 + t^2.51 + t^2.653 + t^2.795 + t^3. + t^3.49 + t^3.694 + t^4.042 + t^4.184 + 2*t^4.326 + 2*t^4.531 + t^4.674 + t^4.736 + t^4.816 + t^4.879 + t^4.958 + 3*t^5.021 + 3*t^5.163 + t^5.306 + t^5.368 + t^5.448 + t^5.59 + 2*t^5.653 + 2*t^5.858 - t^6. - t^4.326/y - t^4.326*y | detail | |
| 1229 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6848 | 0.8548 | 0.8012 | [M:[1.0, 1.1585, 0.9146, 0.8415, 0.8049, 0.7561], q:[0.7805, 0.378], qb:[0.622, 0.4635], phi:[0.439]] | t^2.268 + t^2.415 + t^2.524 + t^2.634 + t^2.744 + t^3. + t^3.476 + t^3.841 + t^4.098 + t^4.207 + t^4.317 + t^4.536 + t^4.573 + t^4.683 + t^4.793 + t^4.83 + t^4.902 + t^4.939 + t^5.012 + 3*t^5.049 + 2*t^5.159 + 2*t^5.268 + t^5.378 + t^5.415 + t^5.487 + t^5.634 + t^5.744 + t^5.89 - t^6. - t^4.317/y - t^4.317*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 |
|---|---|---|---|---|---|---|---|---|---|
| 445 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ | 0.6501 | 0.7927 | 0.8201 | [M:[1.0, 1.1539, 0.8975, 0.8461], q:[0.782, 0.3718], qb:[0.6282, 0.4743], phi:[0.4359]] | t^2.538 + t^2.615 + t^2.693 + t^3. + t^3.462 + t^3.539 + t^3.769 + t^3.846 + t^4.154 + t^4.231 + t^4.308 + t^4.615 + 2*t^5.077 + t^5.154 + t^5.231 + t^5.308 + t^5.385 + t^5.615 - t^6. - t^4.308/y - t^4.308*y | detail |