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 |
|---|---|---|---|---|---|---|---|---|---|
| 56162 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{1}M_{7}$ | 0.6951 | 0.8732 | 0.796 | [M:[1.1261, 1.0, 0.8739, 0.7009, 0.827, 0.8739, 0.8739], q:[0.3504, 0.5234], qb:[0.6496, 0.7757], phi:[0.4252]] | [M:[[5], [0], [-5], [4], [9], [-5], [-5]], q:[[2], [-7]], qb:[[-2], [3]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}q_{1}q_{2}$ | -3 | t^2.103 + t^2.481 + t^2.551 + 3*t^2.622 + t^3. + t^3.897 + t^4.205 + 2*t^4.276 + t^4.416 + t^4.584 + 2*t^4.654 + 2*t^4.724 + t^4.795 + t^4.962 + t^5.032 + 4*t^5.103 + 5*t^5.173 + 5*t^5.243 + 2*t^5.551 + t^5.622 + t^5.93 - 3*t^6. + t^6.308 + t^6.449 + 2*t^6.519 + t^6.686 + 2*t^6.757 + 3*t^6.827 + 4*t^6.897 + t^6.968 + 3*t^7.038 + t^7.065 + 2*t^7.135 + 4*t^7.205 + 5*t^7.276 + 3*t^7.346 + 3*t^7.416 + t^7.443 + t^7.513 + 3*t^7.584 + 5*t^7.654 + 7*t^7.724 + 9*t^7.795 + 6*t^7.865 + t^8.032 - 3*t^8.103 + 3*t^8.173 - t^8.243 + t^8.314 + 2*t^8.411 - 3*t^8.481 - 12*t^8.622 + t^8.692 + t^8.789 + t^8.832 + t^8.859 + 2*t^8.93 - t^4.276/y - t^6.378/y - t^6.757/y - t^6.827/y - (2*t^6.897)/y + t^7.584/y + (3*t^7.654)/y + (4*t^7.724)/y + t^7.795/y + t^8.032/y + (4*t^8.103)/y + (4*t^8.173)/y + (3*t^8.243)/y + t^8.551/y + (3*t^8.622)/y - t^8.859/y - t^8.93/y - t^4.276*y - t^6.378*y - t^6.757*y - t^6.827*y - 2*t^6.897*y + t^7.584*y + 3*t^7.654*y + 4*t^7.724*y + t^7.795*y + t^8.032*y + 4*t^8.103*y + 4*t^8.173*y + 3*t^8.243*y + t^8.551*y + 3*t^8.622*y - t^8.859*y - t^8.93*y | g1^4*t^2.103 + g1^9*t^2.481 + g1^2*t^2.551 + (3*t^2.622)/g1^5 + t^3. + t^3.897/g1^4 + g1^8*t^4.205 + 2*g1*t^4.276 + t^4.416/g1^13 + g1^13*t^4.584 + 2*g1^6*t^4.654 + (2*t^4.724)/g1 + t^4.795/g1^8 + g1^18*t^4.962 + g1^11*t^5.032 + 4*g1^4*t^5.103 + (5*t^5.173)/g1^3 + (5*t^5.243)/g1^10 + 2*g1^2*t^5.551 + t^5.622/g1^5 + g1^7*t^5.93 - 3*t^6. + g1^12*t^6.308 + t^6.449/g1^2 + (2*t^6.519)/g1^9 + g1^17*t^6.686 + 2*g1^10*t^6.757 + 3*g1^3*t^6.827 + (4*t^6.897)/g1^4 + t^6.968/g1^11 + (3*t^7.038)/g1^18 + g1^22*t^7.065 + 2*g1^15*t^7.135 + 4*g1^8*t^7.205 + 5*g1*t^7.276 + (3*t^7.346)/g1^6 + (3*t^7.416)/g1^13 + g1^27*t^7.443 + g1^20*t^7.513 + 3*g1^13*t^7.584 + 5*g1^6*t^7.654 + (7*t^7.724)/g1 + (9*t^7.795)/g1^8 + (6*t^7.865)/g1^15 + g1^11*t^8.032 - 3*g1^4*t^8.103 + (3*t^8.173)/g1^3 - t^8.243/g1^10 + t^8.314/g1^17 + 2*g1^16*t^8.411 - 3*g1^9*t^8.481 - (12*t^8.622)/g1^5 + t^8.692/g1^12 + g1^21*t^8.789 + t^8.832/g1^26 + g1^14*t^8.859 + 2*g1^7*t^8.93 - (g1*t^4.276)/y - (g1^5*t^6.378)/y - (g1^10*t^6.757)/y - (g1^3*t^6.827)/y - (2*t^6.897)/(g1^4*y) + (g1^13*t^7.584)/y + (3*g1^6*t^7.654)/y + (4*t^7.724)/(g1*y) + t^7.795/(g1^8*y) + (g1^11*t^8.032)/y + (4*g1^4*t^8.103)/y + (4*t^8.173)/(g1^3*y) + (3*t^8.243)/(g1^10*y) + (g1^2*t^8.551)/y + (3*t^8.622)/(g1^5*y) - (g1^14*t^8.859)/y - (g1^7*t^8.93)/y - g1*t^4.276*y - g1^5*t^6.378*y - g1^10*t^6.757*y - g1^3*t^6.827*y - (2*t^6.897*y)/g1^4 + g1^13*t^7.584*y + 3*g1^6*t^7.654*y + (4*t^7.724*y)/g1 + (t^7.795*y)/g1^8 + g1^11*t^8.032*y + 4*g1^4*t^8.103*y + (4*t^8.173*y)/g1^3 + (3*t^8.243*y)/g1^10 + g1^2*t^8.551*y + (3*t^8.622*y)/g1^5 - g1^14*t^8.859*y - g1^7*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 58347 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}q_{2}$ | 0.7156 | 0.9125 | 0.7842 | [M:[1.1237, 1.0, 0.8763, 0.699, 0.8227, 0.8763, 0.8763, 0.699], q:[0.3495, 0.5268], qb:[0.6505, 0.7742], phi:[0.4247]] | 2*t^2.097 + t^2.468 + t^2.548 + 3*t^2.629 + t^3. + 3*t^4.194 + 2*t^4.274 + t^4.435 + 2*t^4.565 + 3*t^4.645 + 5*t^4.726 + t^4.806 + t^4.936 + t^5.017 + 5*t^5.097 + 5*t^5.177 + 5*t^5.258 + 2*t^5.548 + t^5.629 + t^5.92 - 4*t^6. - t^4.274/y - t^4.274*y | detail | |
| 58346 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6821 | 0.8511 | 0.8014 | [M:[1.1313, 1.0, 0.8687, 0.7051, 0.8364, 0.8687, 0.8687, 1.1475], q:[0.3525, 0.5161], qb:[0.6475, 0.7788], phi:[0.4263]] | t^2.115 + t^2.509 + 3*t^2.606 + t^3. + t^3.442 + t^3.885 + t^4.23 + 2*t^4.279 + t^4.376 + t^4.624 + t^4.673 + 2*t^4.721 + t^4.77 + t^5.019 + 3*t^5.115 + 2*t^5.164 + 5*t^5.212 + 2*t^5.558 + t^5.606 + 2*t^5.952 - 3*t^6. - t^4.279/y - t^4.279*y | detail | |
| 58344 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6942 | 0.8728 | 0.7954 | [M:[1.1429, 1.0, 0.8571, 0.7143, 0.8571, 0.8571, 0.8571], q:[0.3571, 0.5], qb:[0.6429, 0.7857], phi:[0.4286]] | t^2.143 + 5*t^2.571 + t^3. + t^3.857 + 4*t^4.286 + 6*t^4.714 + 16*t^5.143 + 3*t^5.571 - 2*t^6. - t^4.286/y - t^4.286*y | detail | {a: 1905/2744, c: 2395/2744, M1: 8/7, M2: 1, M3: 6/7, M4: 5/7, M5: 6/7, M6: 6/7, M7: 6/7, q1: 5/14, q2: 1/2, qb1: 9/14, qb2: 11/14, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 50850 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{6}$ | 0.6844 | 0.8552 | 0.8003 | [M:[1.1117, 1.0, 0.8883, 0.6894, 0.8011, 0.8883], q:[0.3447, 0.5436], qb:[0.6553, 0.767], phi:[0.4223]] | t^2.068 + t^2.403 + t^2.534 + 2*t^2.665 + t^3. + t^3.335 + t^3.932 + t^4.136 + 2*t^4.267 + t^4.471 + t^4.529 + 2*t^4.602 + t^4.733 + t^4.806 + t^4.864 + t^4.937 + 3*t^5.068 + 4*t^5.199 + 2*t^5.33 + t^5.403 + 2*t^5.534 + t^5.738 + 2*t^5.869 - t^6. - t^4.267/y - t^4.267*y | detail |