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 |
|---|---|---|---|---|---|---|---|---|---|
| 2592 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{7}$ | 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]] | [X:[[0]], M:[[0], [0], [1], [-1], [1], [0], [0]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | 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. + 3*t^6.274 - 2*t^6.392 + 2*t^6.548 + 4*t^6.667 + t^6.823 + 3*t^6.941 + 2*t^7.059 + 4*t^7.215 + 2*t^7.489 + 7*t^7.608 - t^7.726 + 6*t^7.882 + 11*t^8. + 3*t^8.118 + 2*t^8.156 + t^8.274 + 3*t^8.392 + t^8.511 + 2*t^8.548 - 11*t^8.667 - t^8.785 + 3*t^8.823 + 2*t^8.941 - t^4.333/y - t^6.608/y - (2*t^7.)/y + (2*t^7.667)/y + (3*t^7.941)/y + t^8.059/y + t^8.215/y + (4*t^8.333)/y + (3*t^8.608)/y + (3*t^8.726)/y - t^4.333*y - t^6.608*y - 2*t^7.*y + 2*t^7.667*y + 3*t^7.941*y + t^8.059*y + t^8.215*y + 4*t^8.333*y + 3*t^8.608*y + 3*t^8.726*y | g1*t^2.274 + 3*t^2.667 + g1*t^2.941 + t^3.059/g1 + g1*t^3.608 + 2*t^4. + g1*t^4.274 + t^4.392/g1 + g1^2*t^4.548 + t^4.667 + 3*g1*t^4.941 + 2*g1^2*t^5.215 + 7*t^5.333 + t^5.452/g1^2 + 2*g1*t^5.608 + (2*t^5.726)/g1 + g1^2*t^5.882 - 3*t^6. + 3*g1*t^6.274 - (2*t^6.392)/g1 + 2*g1^2*t^6.548 + 4*t^6.667 + g1^3*t^6.823 + 3*g1*t^6.941 + (2*t^7.059)/g1 + 4*g1^2*t^7.215 + 2*g1^3*t^7.489 + 7*g1*t^7.608 - t^7.726/g1 + 6*g1^2*t^7.882 + 11*t^8. + (3*t^8.118)/g1^2 + 2*g1^3*t^8.156 + g1*t^8.274 + (3*t^8.392)/g1 + t^8.511/g1^3 + 2*g1^2*t^8.548 - 11*t^8.667 - t^8.785/g1^2 + 3*g1^3*t^8.823 + 2*g1*t^8.941 - t^4.333/y - (g1*t^6.608)/y - (2*t^7.)/y + (2*t^7.667)/y + (3*g1*t^7.941)/y + t^8.059/(g1*y) + (g1^2*t^8.215)/y + (4*t^8.333)/y + (3*g1*t^8.608)/y + (3*t^8.726)/(g1*y) - t^4.333*y - g1*t^6.608*y - 2*t^7.*y + 2*t^7.667*y + 3*g1*t^7.941*y + (t^8.059*y)/g1 + g1^2*t^8.215*y + 4*t^8.333*y + 3*g1*t^8.608*y + (3*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 |
|---|---|---|---|---|---|---|---|---|
| 4679 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{3}^{2}$ | 0.6042 | 0.75 | 0.8056 | [X:[1.3333], M:[1.1111, 0.6667, 1.0, 0.7778, 1.2222, 0.8889, 0.8889], q:[0.5556, 0.3333], qb:[0.4444, 0.8889], phi:[0.4444]] | t^2.333 + 3*t^2.667 + t^3. + 2*t^3.667 + 3*t^4. + t^4.333 + t^4.667 + 3*t^5. + 7*t^5.333 + t^5.667 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 29/48, c: 3/4, X1: 4/3, M1: 10/9, M2: 2/3, M3: 1, M4: 7/9, M5: 11/9, M6: 8/9, M7: 8/9, q1: 5/9, q2: 1/3, qb1: 4/9, qb2: 8/9, phi1: 4/9} |
| 4682 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{5}^{2}$ | 0.6775 | 0.8372 | 0.8092 | [X:[1.3333], M:[1.1111, 0.6667, 0.7778, 1.0, 1.0, 0.8889, 0.8889], q:[0.5556, 0.3333], qb:[0.6667, 0.6667], phi:[0.4444]] | t^2.333 + 3*t^2.667 + 2*t^3. + t^3.667 + 2*t^4. + 2*t^4.333 + 2*t^4.667 + 3*t^5. + 10*t^5.333 + 4*t^5.667 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 439/648, c: 1085/1296, X1: 4/3, M1: 10/9, M2: 2/3, M3: 7/9, M4: 1, M5: 1, M6: 8/9, M7: 8/9, q1: 5/9, q2: 1/3, qb1: 2/3, qb2: 2/3, phi1: 4/9} |
| 4685 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6952 | 0.8688 | 0.8002 | [X:[1.3333], M:[1.1111, 0.6667, 0.7778, 1.0, 1.0, 0.8889, 0.8889, 0.7778], q:[0.5556, 0.3333], qb:[0.6667, 0.6667], phi:[0.4444]] | 2*t^2.333 + 3*t^2.667 + 2*t^3. + 2*t^4. + 2*t^4.333 + 4*t^4.667 + 6*t^5. + 12*t^5.333 + 4*t^5.667 - 3*t^6. - t^4.333/y - t^4.333*y | detail | {a: 901/1296, c: 563/648, X1: 4/3, M1: 10/9, M2: 2/3, M3: 7/9, M4: 1, M5: 1, M6: 8/9, M7: 8/9, M8: 7/9, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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. - t^4.333/y - t^4.333*y | detail |