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 |
|---|---|---|---|---|---|---|---|---|---|
| 4676 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{4}^{2}$ | 0.6674 | 0.8202 | 0.8137 | [X:[1.3333], M:[1.1111, 0.6667, 0.7778, 1.0, 1.0, 0.8889, 1.0], q:[0.5556, 0.3333], qb:[0.6667, 0.6667], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 865/1296, c: 1063/1296, X1: 4/3, M1: 10/9, M2: 2/3, M3: 7/9, M4: 1, M5: 1, M6: 8/9, M7: 1, q1: 5/9, q2: 1/3, qb1: 2/3, qb2: 2/3, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$ | ${}M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | 0 | t^2.333 + 2*t^2.667 + 2*t^3. + t^3.333 + t^3.667 + 2*t^4. + 2*t^4.333 + 2*t^4.667 + 2*t^5. + 7*t^5.333 + 3*t^5.667 + 2*t^6.333 + 5*t^6.667 + 5*t^7. + 4*t^7.333 + 7*t^7.667 + 12*t^8. + 5*t^8.333 - t^8.667 - t^4.333/y - t^6.667/y - t^7./y + t^7.667/y + (3*t^8.)/y + (3*t^8.333)/y + (5*t^8.667)/y - t^4.333*y - t^6.667*y - t^7.*y + t^7.667*y + 3*t^8.*y + 3*t^8.333*y + 5*t^8.667*y | t^2.333 + 2*t^2.667 + 2*t^3. + t^3.333 + t^3.667 + 2*t^4. + 2*t^4.333 + 2*t^4.667 + 2*t^5. + 7*t^5.333 + 3*t^5.667 + 2*t^6.333 + 5*t^6.667 + 5*t^7. + 4*t^7.333 + 7*t^7.667 + 12*t^8. + 5*t^8.333 - t^8.667 - t^4.333/y - t^6.667/y - t^7./y + t^7.667/y + (3*t^8.)/y + (3*t^8.333)/y + (5*t^8.667)/y - t^4.333*y - t^6.667*y - t^7.*y + t^7.667*y + 3*t^8.*y + 3*t^8.333*y + 5*t^8.667*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 |
|---|---|---|---|---|---|---|---|---|
| 6257 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{4}^{2}$ + ${ }M_{3}M_{8}$ | 0.6497 | 0.7886 | 0.8239 | [X:[1.3333], M:[1.1111, 0.6667, 0.7778, 1.0, 1.0, 0.8889, 1.0, 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: 1, M8: 11/9, q1: 5/9, q2: 1/3, qb1: 2/3, qb2: 2/3, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2590 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ | 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} |