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 |
|---|---|---|---|---|---|---|---|---|---|
| 46570 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6611 | 0.8138 | 0.8124 | [M:[0.8357, 1.0, 1.1643, 0.7714], q:[0.3857, 0.7786], qb:[0.6143, 0.4501], phi:[0.4428]] | [M:[[3], [0], [-3], [-8]], q:[[-4], [1]], qb:[[4], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$ | ${}$ | -1 | t^2.314 + t^2.507 + t^2.657 + t^3. + t^3.193 + t^3.493 + t^3.643 + t^3.836 + t^4.029 + t^4.179 + t^4.329 + t^4.522 + t^4.628 + t^4.821 + t^4.971 + 2*t^5.014 + t^5.164 + t^5.314 + t^5.507 + t^5.657 + t^5.7 + t^5.85 + t^5.957 - t^6. + 2*t^6.15 + t^6.3 + t^6.343 + t^6.386 + t^6.493 + t^6.536 + t^6.643 + t^6.686 + 2*t^6.836 + t^6.942 + 2*t^7.029 + t^7.135 + t^7.222 + 2*t^7.285 + t^7.329 + 2*t^7.478 + 2*t^7.522 + t^7.628 + 3*t^7.671 + t^7.715 + t^7.821 + 2*t^7.971 + t^8.014 + t^8.058 + t^8.164 + 2*t^8.208 + t^8.271 - t^8.314 + t^8.357 + t^8.464 - t^8.507 + t^8.551 + t^8.614 + t^8.657 + t^8.807 + t^8.85 + t^8.894 + t^8.957 - t^4.329/y - t^6.643/y - t^6.986/y + t^7.671/y + t^7.821/y + t^7.971/y + t^8.014/y + t^8.164/y + t^8.314/y + (2*t^8.507)/y + t^8.657/y + t^8.7/y + t^8.807/y + t^8.85/y - t^4.329*y - t^6.643*y - t^6.986*y + t^7.671*y + t^7.821*y + t^7.971*y + t^8.014*y + t^8.164*y + t^8.314*y + 2*t^8.507*y + t^8.657*y + t^8.7*y + t^8.807*y + t^8.85*y | t^2.314/g1^8 + g1^3*t^2.507 + t^2.657/g1^4 + t^3. + g1^11*t^3.193 + t^3.493/g1^3 + t^3.643/g1^10 + g1*t^3.836 + g1^12*t^4.029 + g1^5*t^4.179 + t^4.329/g1^2 + g1^9*t^4.522 + t^4.628/g1^16 + t^4.821/g1^5 + t^4.971/g1^12 + 2*g1^6*t^5.014 + t^5.164/g1 + t^5.314/g1^8 + g1^3*t^5.507 + t^5.657/g1^4 + g1^14*t^5.7 + g1^7*t^5.85 + t^5.957/g1^18 - t^6. + (2*t^6.15)/g1^7 + t^6.3/g1^14 + g1^4*t^6.343 + g1^22*t^6.386 + t^6.493/g1^3 + g1^15*t^6.536 + t^6.643/g1^10 + g1^8*t^6.686 + 2*g1*t^6.836 + t^6.942/g1^24 + 2*g1^12*t^7.029 + t^7.135/g1^13 + g1^23*t^7.222 + (2*t^7.285)/g1^20 + t^7.329/g1^2 + (2*t^7.478)/g1^9 + 2*g1^9*t^7.522 + t^7.628/g1^16 + 3*g1^2*t^7.671 + g1^20*t^7.715 + t^7.821/g1^5 + (2*t^7.971)/g1^12 + g1^6*t^8.014 + g1^24*t^8.058 + t^8.164/g1 + 2*g1^17*t^8.208 + t^8.271/g1^26 - t^8.314/g1^8 + g1^10*t^8.357 + t^8.464/g1^15 - g1^3*t^8.507 + g1^21*t^8.551 + t^8.614/g1^22 + t^8.657/g1^4 + t^8.807/g1^11 + g1^7*t^8.85 + g1^25*t^8.894 + t^8.957/g1^18 - t^4.329/(g1^2*y) - t^6.643/(g1^10*y) - t^6.986/(g1^6*y) + (g1^2*t^7.671)/y + t^7.821/(g1^5*y) + t^7.971/(g1^12*y) + (g1^6*t^8.014)/y + t^8.164/(g1*y) + t^8.314/(g1^8*y) + (2*g1^3*t^8.507)/y + t^8.657/(g1^4*y) + (g1^14*t^8.7)/y + t^8.807/(g1^11*y) + (g1^7*t^8.85)/y - (t^4.329*y)/g1^2 - (t^6.643*y)/g1^10 - (t^6.986*y)/g1^6 + g1^2*t^7.671*y + (t^7.821*y)/g1^5 + (t^7.971*y)/g1^12 + g1^6*t^8.014*y + (t^8.164*y)/g1 + (t^8.314*y)/g1^8 + 2*g1^3*t^8.507*y + (t^8.657*y)/g1^4 + g1^14*t^8.7*y + (t^8.807*y)/g1^11 + g1^7*t^8.85*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 |
|---|---|---|---|---|---|---|---|---|
| 47004 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6611 | 0.8139 | 0.8123 | [M:[0.8333, 1.0, 1.1667, 0.7778], q:[0.3889, 0.7778], qb:[0.6111, 0.4444], phi:[0.4444]] | t^2.333 + t^2.5 + t^2.667 + t^3. + t^3.167 + t^3.5 + t^3.667 + t^3.833 + t^4. + t^4.167 + t^4.333 + t^4.5 + t^4.667 + t^4.833 + 3*t^5. + t^5.167 + t^5.333 + t^5.5 + 2*t^5.667 + t^5.833 - t^4.333/y - t^4.333*y | detail | {a: 3427/5184, c: 4219/5184, M1: 5/6, M2: 1, M3: 7/6, M4: 7/9, q1: 7/18, q2: 7/9, qb1: 11/18, qb2: 4/9, phi1: 4/9} |
| 48195 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6812 | 0.8512 | 0.8002 | [M:[0.8362, 1.0, 1.1638, 0.7701, 0.7213], q:[0.3851, 0.7787], qb:[0.6149, 0.4511], phi:[0.4425]] | t^2.164 + t^2.31 + t^2.509 + t^2.655 + t^3. + t^3.198 + t^3.491 + t^3.638 + t^4.034 + t^4.181 + 2*t^4.328 + t^4.474 + t^4.526 + t^4.621 + t^4.672 + 2*t^4.819 + t^4.966 + 2*t^5.017 + 2*t^5.164 + t^5.31 + t^5.362 + t^5.509 + 2*t^5.655 + t^5.707 + t^5.802 + t^5.853 + t^5.948 - t^6. - t^4.328/y - t^4.328*y | detail | |
| 48299 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.6791 | 0.8471 | 0.8017 | [M:[0.8282, 1.0, 1.1718, 0.7914, 0.7608], q:[0.3957, 0.7761], qb:[0.6043, 0.4326], phi:[0.4478]] | t^2.282 + t^2.374 + t^2.485 + t^2.687 + t^3. + t^3.111 + t^3.515 + t^3.828 + t^3.939 + t^4.141 + t^4.344 + t^4.454 + t^4.565 + t^4.656 + t^4.748 + t^4.767 + t^4.859 + 3*t^4.969 + t^5.061 + t^5.172 + t^5.282 + t^5.374 + t^5.393 + t^5.485 + t^5.595 + t^5.687 + 2*t^5.798 - t^6. - t^4.344/y - t^4.344*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46314 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ | 0.7067 | 0.861 | 0.8208 | [M:[1.0, 1.0, 1.0, 0.8738], q:[0.4369, 0.5631], qb:[0.5631, 0.5631], phi:[0.4685]] | t^2.621 + t^2.811 + 3*t^3. + 2*t^3.379 + t^4.027 + 3*t^4.405 + 6*t^4.784 + t^5.243 + t^5.432 + t^5.621 + 3*t^5.811 - 2*t^6. - t^4.405/y - t^4.405*y | detail |