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 |
|---|---|---|---|---|---|---|---|---|---|
| 1478 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}X_{1}$ | 0.668 | 0.822 | 0.8126 | [X:[1.3333], M:[1.1111, 0.6667, 0.7581, 1.0197, 0.9803, 0.8889], q:[0.5556, 0.3333], qb:[0.6864, 0.647], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [1], [-1], [1], [0]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.274 + 2*t^2.667 + t^2.941 + t^3.059 + t^3.333 + t^3.608 + 2*t^4. + t^4.274 + t^4.392 + t^4.548 + t^4.667 + 2*t^4.941 + 2*t^5.215 + 4*t^5.333 + t^5.452 + 2*t^5.608 + t^5.726 + t^5.882 - t^6. + 3*t^6.274 - t^6.392 + 2*t^6.548 + 3*t^6.667 + t^6.823 + 3*t^6.941 + t^7.059 + 3*t^7.215 + t^7.333 + 2*t^7.489 + 5*t^7.608 + 5*t^7.882 + 5*t^8. + 2*t^8.118 + 2*t^8.156 + t^8.274 + t^8.392 + t^8.511 + 3*t^8.548 - 4*t^8.667 + 3*t^8.823 + t^8.941 - t^4.333/y - t^6.608/y - t^7./y + t^7.667/y + (2*t^7.941)/y + t^8.059/y + t^8.215/y + (2*t^8.333)/y + (3*t^8.608)/y + (2*t^8.726)/y - t^4.333*y - t^6.608*y - t^7.*y + t^7.667*y + 2*t^7.941*y + t^8.059*y + t^8.215*y + 2*t^8.333*y + 3*t^8.608*y + 2*t^8.726*y | g1*t^2.274 + 2*t^2.667 + g1*t^2.941 + t^3.059/g1 + t^3.333 + g1*t^3.608 + 2*t^4. + g1*t^4.274 + t^4.392/g1 + g1^2*t^4.548 + t^4.667 + 2*g1*t^4.941 + 2*g1^2*t^5.215 + 4*t^5.333 + t^5.452/g1^2 + 2*g1*t^5.608 + t^5.726/g1 + g1^2*t^5.882 - t^6. + 3*g1*t^6.274 - t^6.392/g1 + 2*g1^2*t^6.548 + 3*t^6.667 + g1^3*t^6.823 + 3*g1*t^6.941 + t^7.059/g1 + 3*g1^2*t^7.215 + t^7.333 + 2*g1^3*t^7.489 + 5*g1*t^7.608 + 5*g1^2*t^7.882 + 5*t^8. + (2*t^8.118)/g1^2 + 2*g1^3*t^8.156 + g1*t^8.274 + t^8.392/g1 + t^8.511/g1^3 + 3*g1^2*t^8.548 - 4*t^8.667 + 3*g1^3*t^8.823 + g1*t^8.941 - t^4.333/y - (g1*t^6.608)/y - t^7./y + t^7.667/y + (2*g1*t^7.941)/y + t^8.059/(g1*y) + (g1^2*t^8.215)/y + (2*t^8.333)/y + (3*g1*t^8.608)/y + (2*t^8.726)/(g1*y) - t^4.333*y - g1*t^6.608*y - t^7.*y + t^7.667*y + 2*g1*t^7.941*y + (t^8.059*y)/g1 + g1^2*t^8.215*y + 2*t^8.333*y + 3*g1*t^8.608*y + (2*t^8.726*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2592 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{7}$ | 0.678 | 0.8389 | 0.8081 | [X:[1.3333], M:[1.1111, 0.6667, 0.7581, 1.0197, 0.9803, 0.8889, 0.8889], q:[0.5556, 0.3333], qb:[0.6864, 0.647], phi:[0.4444]] | t^2.274 + 3*t^2.667 + t^2.941 + t^3.059 + t^3.608 + 2*t^4. + t^4.274 + t^4.392 + t^4.548 + t^4.667 + 3*t^4.941 + 2*t^5.215 + 7*t^5.333 + t^5.452 + 2*t^5.608 + 2*t^5.726 + t^5.882 - 3*t^6. - t^4.333/y - t^4.333*y | detail | |
| 2588 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}M_{7}$ | 0.6497 | 0.7886 | 0.8239 | [X:[1.3333], M:[1.1111, 0.6667, 0.7778, 1.0, 1.0, 0.8889, 1.2222], q:[0.5556, 0.3333], qb:[0.6667, 0.6667], phi:[0.4444]] | 2*t^2.667 + 2*t^3. + t^3.333 + 2*t^3.667 + 2*t^4. + 2*t^4.333 + t^4.667 + 5*t^5.333 + 2*t^5.667 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 421/648, c: 511/648, X1: 4/3, M1: 10/9, M2: 2/3, M3: 7/9, M4: 1, M5: 1, M6: 8/9, M7: 11/9, q1: 5/9, q2: 1/3, qb1: 2/3, qb2: 2/3, phi1: 4/9} |
| 2590 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ | 0.6678 | 0.8205 | 0.8138 | [X:[1.3333], M:[1.1111, 0.6667, 0.7937, 0.9841, 1.0159, 0.8889, 0.9841], q:[0.5556, 0.3333], qb:[0.6508, 0.6825], phi:[0.4444]] | t^2.381 + 2*t^2.667 + 2*t^2.952 + t^3.333 + t^3.714 + 2*t^4. + t^4.286 + t^4.381 + t^4.667 + t^4.762 + 2*t^5.048 + t^5.238 + 5*t^5.333 + t^5.429 + 3*t^5.619 + 2*t^5.905 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 3029/4536, c: 1861/2268, X1: 4/3, M1: 10/9, M2: 2/3, M3: 50/63, M4: 62/63, M5: 64/63, M6: 8/9, M7: 62/63, q1: 5/9, q2: 1/3, qb1: 41/63, qb2: 43/63, phi1: 4/9} |
| 2589 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{6}M_{7}$ | 0.6579 | 0.805 | 0.8173 | [X:[1.3333], M:[1.1111, 0.6667, 0.7581, 1.0197, 0.9803, 0.8889, 1.1111], q:[0.5556, 0.3333], qb:[0.6864, 0.647], phi:[0.4444]] | t^2.274 + t^2.667 + t^2.941 + t^3.059 + 2*t^3.333 + t^3.608 + 2*t^4. + t^4.274 + t^4.392 + t^4.548 + t^4.667 + t^4.941 + 2*t^5.215 + 2*t^5.333 + t^5.452 + 2*t^5.608 + t^5.882 - t^6. - t^4.333/y - t^4.333*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 |
|---|---|---|---|---|---|---|---|---|---|
| 955 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7303 | 0.9135 | 0.7995 | [M:[1.0484, 0.8548, 0.8753, 1.0279, 0.9721, 0.6693], q:[0.5242, 0.4274], qb:[0.6005, 0.5446], phi:[0.4758]] | t^2.008 + t^2.565 + t^2.626 + t^2.855 + t^2.916 + t^3.084 + t^3.145 + t^3.206 + t^4.016 + t^4.282 + t^4.344 + t^4.511 + 2*t^4.573 + 2*t^4.634 + t^4.695 + t^4.802 + 2*t^4.863 + t^4.924 + t^5.031 + t^5.092 + t^5.129 + t^5.153 + t^5.19 + t^5.215 + t^5.252 + t^5.419 + t^5.481 + t^5.542 + 2*t^5.71 + 2*t^5.771 + t^5.832 - 2*t^6. - t^4.427/y - t^4.427*y | detail |