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 |
|---|---|---|---|---|---|---|---|---|---|
| 1977 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6827 | 0.8615 | 0.7925 | [M:[0.9635, 1.0882, 1.1398, 0.8602, 0.6839, 0.6839], q:[0.772, 0.5441], qb:[0.4924, 0.3678], phi:[0.4559]] | [M:[[13], [-4], [5], [-5], [3], [3]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$ | ${}$ | -1 | 2*t^2.052 + t^2.581 + t^2.736 + t^2.89 + t^3.264 + t^3.419 + t^3.574 + t^3.793 + 4*t^4.103 + t^4.322 + t^4.477 + 3*t^4.632 + 2*t^4.787 + 2*t^4.942 + t^5.161 + 3*t^5.316 + 3*t^5.471 + 2*t^5.626 + t^5.781 + 2*t^5.845 - t^6. + 7*t^6.155 + 2*t^6.31 + 2*t^6.374 + t^6.465 + t^6.529 + 5*t^6.684 + 3*t^6.839 + t^6.903 + 4*t^6.994 + 2*t^7.058 + t^7.149 + 2*t^7.213 + 5*t^7.368 + 5*t^7.523 + t^7.587 + 4*t^7.678 + 2*t^7.833 + 3*t^7.897 - 2*t^8.052 + t^8.116 + 11*t^8.207 + 4*t^8.362 + 2*t^8.426 + 2*t^8.516 - 2*t^8.581 + t^8.645 + t^8.671 + 6*t^8.736 + t^8.8 + 2*t^8.89 + 3*t^8.955 - t^4.368/y - (2*t^6.419)/y + t^7.103/y - t^7.258/y + t^7.477/y + (2*t^7.632)/y + (2*t^7.787)/y + (2*t^7.942)/y + (5*t^8.316)/y + (3*t^8.626)/y + (3*t^8.845)/y - t^4.368*y - 2*t^6.419*y + t^7.103*y - t^7.258*y + t^7.477*y + 2*t^7.632*y + 2*t^7.787*y + 2*t^7.942*y + 5*t^8.316*y + 3*t^8.626*y + 3*t^8.845*y | 2*g1^3*t^2.052 + t^2.581/g1^5 + g1^4*t^2.736 + g1^13*t^2.89 + t^3.264/g1^4 + g1^5*t^3.419 + g1^14*t^3.574 + t^3.793/g1^12 + 4*g1^6*t^4.103 + t^4.322/g1^20 + t^4.477/g1^11 + (3*t^4.632)/g1^2 + 2*g1^7*t^4.787 + 2*g1^16*t^4.942 + t^5.161/g1^10 + (3*t^5.316)/g1 + 3*g1^8*t^5.471 + 2*g1^17*t^5.626 + g1^26*t^5.781 + (2*t^5.845)/g1^9 - t^6. + 7*g1^9*t^6.155 + 2*g1^18*t^6.31 + (2*t^6.374)/g1^17 + g1^27*t^6.465 + t^6.529/g1^8 + 5*g1*t^6.684 + 3*g1^10*t^6.839 + t^6.903/g1^25 + 4*g1^19*t^6.994 + (2*t^7.058)/g1^16 + g1^28*t^7.149 + (2*t^7.213)/g1^7 + 5*g1^2*t^7.368 + 5*g1^11*t^7.523 + t^7.587/g1^24 + 4*g1^20*t^7.678 + 2*g1^29*t^7.833 + (3*t^7.897)/g1^6 - 2*g1^3*t^8.052 + t^8.116/g1^32 + 11*g1^12*t^8.207 + 4*g1^21*t^8.362 + (2*t^8.426)/g1^14 + 2*g1^30*t^8.516 - (2*t^8.581)/g1^5 + t^8.645/g1^40 + g1^39*t^8.671 + 6*g1^4*t^8.736 + t^8.8/g1^31 + 2*g1^13*t^8.89 + (3*t^8.955)/g1^22 - (g1^2*t^4.368)/y - (2*g1^5*t^6.419)/y + (g1^6*t^7.103)/y - (g1^15*t^7.258)/y + t^7.477/(g1^11*y) + (2*t^7.632)/(g1^2*y) + (2*g1^7*t^7.787)/y + (2*g1^16*t^7.942)/y + (5*t^8.316)/(g1*y) + (3*g1^17*t^8.626)/y + (3*t^8.845)/(g1^9*y) - g1^2*t^4.368*y - 2*g1^5*t^6.419*y + g1^6*t^7.103*y - g1^15*t^7.258*y + (t^7.477*y)/g1^11 + (2*t^7.632*y)/g1^2 + 2*g1^7*t^7.787*y + 2*g1^16*t^7.942*y + (5*t^8.316*y)/g1 + 3*g1^17*t^8.626*y + (3*t^8.845*y)/g1^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3026 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}^{2}$ | 0.6815 | 0.8594 | 0.793 | [M:[1.0, 1.0769, 1.1538, 0.8462, 0.6923, 0.6923], q:[0.7692, 0.5385], qb:[0.4615, 0.3846], phi:[0.4615]] | 2*t^2.077 + t^2.538 + t^2.769 + t^3. + t^3.231 + t^3.462 + 2*t^3.692 + 5*t^4.154 + t^4.385 + 3*t^4.615 + 2*t^4.846 + 3*t^5.077 + 3*t^5.308 + 3*t^5.538 + 4*t^5.769 - t^4.385/y - t^4.385*y | detail | {a: 23955/35152, c: 1888/2197, M1: 1, M2: 14/13, M3: 15/13, M4: 11/13, M5: 9/13, M6: 9/13, q1: 10/13, q2: 7/13, qb1: 6/13, qb2: 5/13, phi1: 6/13} |
| 3027 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.7025 | 0.899 | 0.7815 | [M:[0.9494, 1.0925, 1.1344, 0.8656, 0.6806, 0.6806, 0.7226], q:[0.7731, 0.5462], qb:[0.5043, 0.3613], phi:[0.4538]] | 2*t^2.042 + t^2.168 + t^2.597 + t^2.723 + t^2.848 + t^3.277 + t^3.403 + t^3.529 + 4*t^4.084 + 2*t^4.21 + t^4.335 + t^4.387 + t^4.513 + 3*t^4.639 + 3*t^4.764 + 3*t^4.89 + t^5.016 + t^5.194 + 3*t^5.319 + 4*t^5.445 + 3*t^5.571 + 2*t^5.697 - t^6. - t^4.361/y - t^4.361*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 |
|---|---|---|---|---|---|---|---|---|---|
| 700 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.662 | 0.821 | 0.8063 | [M:[0.9647, 1.0878, 1.1403, 0.8597, 0.6842], q:[0.7719, 0.5439], qb:[0.4914, 0.3683], phi:[0.4561]] | t^2.052 + t^2.579 + t^2.737 + t^2.894 + t^3.263 + t^3.421 + t^3.578 + t^3.79 + t^3.948 + 2*t^4.105 + t^4.317 + t^4.474 + 2*t^4.632 + t^4.789 + t^4.946 + t^5.158 + 2*t^5.316 + 2*t^5.473 + t^5.631 + t^5.788 + t^5.843 - t^4.368/y - t^4.368*y | detail |