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 |
|---|---|---|---|---|---|---|---|---|---|
| 4641 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{2}M_{3}$ | 0.605 | 0.7509 | 0.8058 | [M:[1.0476, 0.8571, 1.1429, 0.7619, 1.2381, 0.6667, 1.3333], q:[0.5238, 0.4286], qb:[0.3333, 0.8095], phi:[0.4762]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1423/2352, c: 883/1176, M1: 22/21, M2: 6/7, M3: 8/7, M4: 16/21, M5: 26/21, M6: 2/3, M7: 4/3, q1: 11/21, q2: 3/7, qb1: 1/3, qb2: 17/21, phi1: 10/21} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0 | t^2.286 + t^2.571 + t^2.857 + t^3.143 + 2*t^3.429 + 2*t^3.714 + 3*t^4. + t^4.286 + t^4.571 + t^4.857 + 2*t^5.143 + 2*t^5.429 + 2*t^5.714 + 4*t^6.286 + 4*t^6.571 + 6*t^6.857 + 4*t^7.143 + 5*t^7.429 + 4*t^7.714 + 6*t^8. + 2*t^8.286 + t^8.571 - t^4.429/y + t^7.857/y + t^8.143/y + (2*t^8.429)/y + (3*t^8.714)/y - t^4.429*y + t^7.857*y + t^8.143*y + 2*t^8.429*y + 3*t^8.714*y | t^2.286 + t^2.571 + t^2.857 + t^3.143 + 2*t^3.429 + 2*t^3.714 + 3*t^4. + t^4.286 + t^4.571 + t^4.857 + 2*t^5.143 + 2*t^5.429 + 2*t^5.714 + 4*t^6.286 + 4*t^6.571 + 6*t^6.857 + 4*t^7.143 + 5*t^7.429 + 4*t^7.714 + 6*t^8. + 2*t^8.286 + t^8.571 - t^4.429/y + t^7.857/y + t^8.143/y + (2*t^8.429)/y + (3*t^8.714)/y - t^4.429*y + t^7.857*y + t^8.143*y + 2*t^8.429*y + 3*t^8.714*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 |
|---|---|---|---|---|---|---|---|---|
| 6226 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{8}$ | 0.5924 | 0.7293 | 0.8123 | [M:[1.0476, 0.8571, 1.1429, 0.7619, 1.2381, 0.6667, 1.3333, 1.1429], q:[0.5238, 0.4286], qb:[0.3333, 0.8095], phi:[0.4762]] | t^2.286 + t^2.857 + t^3.143 + 3*t^3.429 + 2*t^3.714 + 3*t^4. + t^4.286 + t^4.571 + t^5.143 + t^5.429 + 2*t^5.714 - 2*t^6. - t^4.429/y - t^4.429*y | detail | {a: 4877/8232, c: 1501/2058, M1: 22/21, M2: 6/7, M3: 8/7, M4: 16/21, M5: 26/21, M6: 2/3, M7: 4/3, M8: 8/7, q1: 11/21, q2: 3/7, qb1: 1/3, qb2: 17/21, phi1: 10/21} |
| 6230 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{8}$ | 0.6176 | 0.7724 | 0.7996 | [M:[1.0476, 0.8571, 1.1429, 0.7619, 1.2381, 0.6667, 1.3333, 0.8571], q:[0.5238, 0.4286], qb:[0.3333, 0.8095], phi:[0.4762]] | t^2.286 + 2*t^2.571 + t^2.857 + t^3.143 + t^3.429 + 2*t^3.714 + 3*t^4. + t^4.286 + t^4.571 + 2*t^4.857 + 4*t^5.143 + 3*t^5.429 + 2*t^5.714 - t^4.429/y - t^4.429*y | detail | {a: 1271/2058, c: 3179/4116, M1: 22/21, M2: 6/7, M3: 8/7, M4: 16/21, M5: 26/21, M6: 2/3, M7: 4/3, M8: 6/7, q1: 11/21, q2: 3/7, qb1: 1/3, qb2: 17/21, phi1: 10/21} |
| 6228 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{2}M_{3}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6006 | 0.7434 | 0.8078 | [M:[1.0476, 0.8571, 1.1429, 0.7619, 1.2381, 0.6667, 1.3333, 1.0476], q:[0.5238, 0.4286], qb:[0.3333, 0.8095], phi:[0.4762]] | t^2.286 + t^2.571 + 2*t^3.143 + 2*t^3.429 + 2*t^3.714 + 3*t^4. + t^4.286 + t^4.571 + t^4.857 + t^5.143 + 2*t^5.429 + 2*t^5.714 - t^6. - t^4.429/y - t^4.429*y | detail | {a: 206/343, c: 255/343, M1: 22/21, M2: 6/7, M3: 8/7, M4: 16/21, M5: 26/21, M6: 2/3, M7: 4/3, M8: 22/21, q1: 11/21, q2: 3/7, qb1: 1/3, qb2: 17/21, phi1: 10/21} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2551 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ | 0.6953 | 0.8589 | 0.8095 | [M:[1.0882, 0.7354, 0.8386, 0.985, 1.015, 0.8086, 1.1914], q:[0.5441, 0.3677], qb:[0.6173, 0.6473], phi:[0.4559]] | t^2.206 + t^2.516 + t^2.735 + t^2.955 + t^3.045 + t^3.265 + 2*t^3.574 + t^4.103 + t^4.323 + 2*t^4.413 + t^4.632 + t^4.722 + t^4.852 + 2*t^4.942 + t^5.032 + t^5.071 + t^5.161 + 2*t^5.251 + 2*t^5.471 + t^5.561 + 3*t^5.78 - 2*t^6. - t^4.368/y - t^4.368*y | detail |