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 |
|---|---|---|---|---|---|---|---|---|---|
| 55472 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6503 | 0.8573 | 0.7586 | [M:[1.0, 0.9016, 0.6885, 1.0492, 0.7377, 0.6885], q:[0.7623, 0.2377], qb:[0.5492, 0.5492], phi:[0.4754]] | [M:[[0], [-8], [-5], [4], [-1], [-5]], q:[[1], [-1]], qb:[[4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{6}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}M_{4}\phi_{1}^{2}$ | -3 | 2*t^2.066 + t^2.213 + 2*t^2.361 + t^2.705 + t^2.852 + t^3. + t^3.148 + t^3.787 + 3*t^4.131 + 2*t^4.279 + 5*t^4.426 + 2*t^4.574 + 6*t^4.721 + 2*t^4.77 + 3*t^4.918 + 3*t^5.066 + 5*t^5.213 + 3*t^5.361 + t^5.41 + 2*t^5.508 + t^5.557 + 2*t^5.705 + 3*t^5.852 - 3*t^6. + 2*t^6.148 + 4*t^6.197 + 3*t^6.344 + 7*t^6.492 + 4*t^6.639 + 11*t^6.787 + 3*t^6.836 + 3*t^6.934 + 5*t^6.983 + 8*t^7.082 + 6*t^7.131 + 10*t^7.279 + 7*t^7.426 + 2*t^7.475 + 9*t^7.574 + 3*t^7.623 + 4*t^7.721 + 5*t^7.77 + 3*t^7.869 + 7*t^7.918 - 3*t^8.066 + t^8.115 + t^8.213 + 6*t^8.262 - 8*t^8.361 + 6*t^8.41 + 2*t^8.508 + 11*t^8.557 - 2*t^8.656 + 4*t^8.705 + 11*t^8.852 + 4*t^8.901 - t^4.426/y - (2*t^6.492)/y - t^6.639/y + (2*t^7.279)/y + (4*t^7.426)/y + (2*t^7.574)/y + (2*t^7.721)/y + (2*t^7.77)/y + (3*t^7.918)/y + (5*t^8.066)/y + (6*t^8.213)/y + (5*t^8.361)/y + (2*t^8.508)/y - (2*t^8.557)/y - t^8.705/y + (3*t^8.852)/y - t^4.426*y - 2*t^6.492*y - t^6.639*y + 2*t^7.279*y + 4*t^7.426*y + 2*t^7.574*y + 2*t^7.721*y + 2*t^7.77*y + 3*t^7.918*y + 5*t^8.066*y + 6*t^8.213*y + 5*t^8.361*y + 2*t^8.508*y - 2*t^8.557*y - t^8.705*y + 3*t^8.852*y | (2*t^2.066)/g1^5 + t^2.213/g1 + 2*g1^3*t^2.361 + t^2.705/g1^8 + t^2.852/g1^4 + t^3. + g1^4*t^3.148 + g1*t^3.787 + (3*t^4.131)/g1^10 + (2*t^4.279)/g1^6 + (5*t^4.426)/g1^2 + 2*g1^2*t^4.574 + 6*g1^6*t^4.721 + (2*t^4.77)/g1^13 + (3*t^4.918)/g1^9 + (3*t^5.066)/g1^5 + (5*t^5.213)/g1 + 3*g1^3*t^5.361 + t^5.41/g1^16 + 2*g1^7*t^5.508 + t^5.557/g1^12 + (2*t^5.705)/g1^8 + (3*t^5.852)/g1^4 - 3*t^6. + 2*g1^4*t^6.148 + (4*t^6.197)/g1^15 + (3*t^6.344)/g1^11 + (7*t^6.492)/g1^7 + (4*t^6.639)/g1^3 + 11*g1*t^6.787 + (3*t^6.836)/g1^18 + 3*g1^5*t^6.934 + (5*t^6.983)/g1^14 + 8*g1^9*t^7.082 + (6*t^7.131)/g1^10 + (10*t^7.279)/g1^6 + (7*t^7.426)/g1^2 + (2*t^7.475)/g1^21 + 9*g1^2*t^7.574 + (3*t^7.623)/g1^17 + 4*g1^6*t^7.721 + (5*t^7.77)/g1^13 + 3*g1^10*t^7.869 + (7*t^7.918)/g1^9 - (3*t^8.066)/g1^5 + t^8.115/g1^24 + t^8.213/g1 + (6*t^8.262)/g1^20 - 8*g1^3*t^8.361 + (6*t^8.41)/g1^16 + 2*g1^7*t^8.508 + (11*t^8.557)/g1^12 - 2*g1^11*t^8.656 + (4*t^8.705)/g1^8 + (11*t^8.852)/g1^4 + (4*t^8.901)/g1^23 - t^4.426/(g1^2*y) - (2*t^6.492)/(g1^7*y) - t^6.639/(g1^3*y) + (2*t^7.279)/(g1^6*y) + (4*t^7.426)/(g1^2*y) + (2*g1^2*t^7.574)/y + (2*g1^6*t^7.721)/y + (2*t^7.77)/(g1^13*y) + (3*t^7.918)/(g1^9*y) + (5*t^8.066)/(g1^5*y) + (6*t^8.213)/(g1*y) + (5*g1^3*t^8.361)/y + (2*g1^7*t^8.508)/y - (2*t^8.557)/(g1^12*y) - t^8.705/(g1^8*y) + (3*t^8.852)/(g1^4*y) - (t^4.426*y)/g1^2 - (2*t^6.492*y)/g1^7 - (t^6.639*y)/g1^3 + (2*t^7.279*y)/g1^6 + (4*t^7.426*y)/g1^2 + 2*g1^2*t^7.574*y + 2*g1^6*t^7.721*y + (2*t^7.77*y)/g1^13 + (3*t^7.918*y)/g1^9 + (5*t^8.066*y)/g1^5 + (6*t^8.213*y)/g1 + 5*g1^3*t^8.361*y + 2*g1^7*t^8.508*y - (2*t^8.557*y)/g1^12 - (t^8.705*y)/g1^8 + (3*t^8.852*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57065 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ | 0.6053 | 0.8025 | 0.7544 | [M:[1.0, 1.1538, 0.8462, 0.9231, 0.7692, 0.8462], q:[0.7308, 0.2692], qb:[0.4231, 0.4231], phi:[0.5385]] | 2*t^2.077 + t^2.308 + 2*t^2.538 + t^2.769 + t^3. + t^3.231 + t^3.462 + t^3.692 + 6*t^4.154 + 2*t^4.385 + 5*t^4.615 + 4*t^4.846 + 6*t^5.077 + 5*t^5.308 + 3*t^5.538 + 5*t^5.769 - t^6. - t^4.615/y - t^4.615*y | detail | {a: 21279/35152, c: 1763/2197, M1: 1, M2: 15/13, M3: 11/13, M4: 12/13, M5: 10/13, M6: 11/13, q1: 19/26, q2: 7/26, qb1: 11/26, qb2: 11/26, phi1: 7/13} |
| 57020 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.644 | 0.8463 | 0.761 | [M:[1.0, 0.9636, 0.7272, 1.0182, 0.7454, 0.7272, 1.0364], q:[0.7546, 0.2454], qb:[0.5182, 0.5182], phi:[0.4909]] | 2*t^2.182 + t^2.236 + 2*t^2.291 + t^2.945 + t^3. + t^3.055 + t^3.109 + t^3.764 + 3*t^4.363 + 2*t^4.418 + 5*t^4.473 + 2*t^4.527 + 6*t^4.582 + 2*t^5.127 + t^5.182 + 5*t^5.236 + 5*t^5.291 + 3*t^5.346 + 2*t^5.4 + t^5.891 + 2*t^5.945 - 3*t^6. - t^4.473/y - t^4.473*y | detail | |
| 57021 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ | 0.6555 | 0.8676 | 0.7556 | [M:[1.0, 0.8727, 0.6705, 1.0636, 0.7341, 0.6705, 0.9364], q:[0.7659, 0.2341], qb:[0.5636, 0.5636], phi:[0.4682]] | 2*t^2.011 + t^2.202 + 2*t^2.393 + t^2.618 + 2*t^2.809 + t^3. + t^3.798 + 3*t^4.023 + 2*t^4.214 + 5*t^4.405 + 2*t^4.595 + 2*t^4.63 + 6*t^4.786 + 5*t^4.821 + 4*t^5.011 + 5*t^5.202 + t^5.236 + 2*t^5.393 + 2*t^5.427 + 4*t^5.618 + 3*t^5.809 - 4*t^6. - t^4.405/y - t^4.405*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47144 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6296 | 0.8171 | 0.7705 | [M:[1.0, 0.9072, 0.692, 1.0464, 0.7384], q:[0.7616, 0.2384], qb:[0.5464, 0.5464], phi:[0.4768]] | t^2.076 + t^2.215 + 2*t^2.354 + t^2.722 + t^2.861 + t^3. + t^3.139 + t^3.785 + t^3.924 + t^4.152 + t^4.291 + 3*t^4.43 + 2*t^4.57 + 6*t^4.709 + t^4.798 + 2*t^4.937 + 2*t^5.076 + 4*t^5.215 + 3*t^5.354 + t^5.443 + 2*t^5.494 + t^5.582 + 2*t^5.722 + 2*t^5.861 - 2*t^6. - t^4.43/y - t^4.43*y | detail |