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 |
|---|---|---|---|---|---|---|---|---|---|
| 890 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 0.7095 | 0.8749 | 0.811 | [M:[1.0, 0.9171, 1.0829, 0.8342, 0.9171], q:[0.4378, 0.5622], qb:[0.4793, 0.6036], phi:[0.4793]] | [M:[[0], [-4], [4], [-8], [-4]], q:[[-3], [3]], qb:[[-1], [5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | -1 | t^2.503 + 2*t^2.751 + t^2.876 + t^3. + 2*t^3.124 + t^4.065 + t^4.189 + t^4.314 + t^4.438 + 2*t^4.562 + t^4.686 + t^4.811 + t^4.935 + t^5.005 + t^5.059 + 2*t^5.254 + t^5.378 + 3*t^5.503 + 2*t^5.627 + 2*t^5.751 + 3*t^5.876 - t^6. + t^6.249 - 2*t^6.373 - t^6.497 + t^6.568 + t^6.692 + 3*t^6.816 + 3*t^6.941 + 4*t^7.065 + 4*t^7.189 + 4*t^7.314 + 3*t^7.438 + t^7.508 + 3*t^7.562 + 2*t^7.686 + 2*t^7.757 + t^7.811 + t^7.881 + t^7.935 + 3*t^8.005 + 3*t^8.13 + 5*t^8.254 + 3*t^8.378 + 2*t^8.503 + 5*t^8.627 - 3*t^8.751 - t^8.876 - t^4.438/y - t^6.941/y - t^7.189/y - t^7.314/y + t^7.562/y + t^7.686/y + t^7.935/y + (2*t^8.254)/y + t^8.378/y + (2*t^8.503)/y + (4*t^8.627)/y + (2*t^8.751)/y + (5*t^8.876)/y - t^4.438*y - t^6.941*y - t^7.189*y - t^7.314*y + t^7.562*y + t^7.686*y + t^7.935*y + 2*t^8.254*y + t^8.378*y + 2*t^8.503*y + 4*t^8.627*y + 2*t^8.751*y + 5*t^8.876*y | t^2.503/g1^8 + (2*t^2.751)/g1^4 + t^2.876/g1^2 + t^3. + 2*g1^2*t^3.124 + t^4.065/g1^7 + t^4.189/g1^5 + t^4.314/g1^3 + t^4.438/g1 + 2*g1*t^4.562 + g1^3*t^4.686 + g1^5*t^4.811 + g1^7*t^4.935 + t^5.005/g1^16 + g1^9*t^5.059 + (2*t^5.254)/g1^12 + t^5.378/g1^10 + (3*t^5.503)/g1^8 + (2*t^5.627)/g1^6 + (2*t^5.751)/g1^4 + (3*t^5.876)/g1^2 - t^6. + g1^4*t^6.249 - 2*g1^6*t^6.373 - g1^8*t^6.497 + t^6.568/g1^15 + t^6.692/g1^13 + (3*t^6.816)/g1^11 + (3*t^6.941)/g1^9 + (4*t^7.065)/g1^7 + (4*t^7.189)/g1^5 + (4*t^7.314)/g1^3 + (3*t^7.438)/g1 + t^7.508/g1^24 + 3*g1*t^7.562 + 2*g1^3*t^7.686 + (2*t^7.757)/g1^20 + g1^5*t^7.811 + t^7.881/g1^18 + g1^7*t^7.935 + (3*t^8.005)/g1^16 + (3*t^8.13)/g1^14 + (5*t^8.254)/g1^12 + (3*t^8.378)/g1^10 + (2*t^8.503)/g1^8 + (5*t^8.627)/g1^6 - (3*t^8.751)/g1^4 - t^8.876/g1^2 - t^4.438/(g1*y) - t^6.941/(g1^9*y) - t^7.189/(g1^5*y) - t^7.314/(g1^3*y) + (g1*t^7.562)/y + (g1^3*t^7.686)/y + (g1^7*t^7.935)/y + (2*t^8.254)/(g1^12*y) + t^8.378/(g1^10*y) + (2*t^8.503)/(g1^8*y) + (4*t^8.627)/(g1^6*y) + (2*t^8.751)/(g1^4*y) + (5*t^8.876)/(g1^2*y) - (t^4.438*y)/g1 - (t^6.941*y)/g1^9 - (t^7.189*y)/g1^5 - (t^7.314*y)/g1^3 + g1*t^7.562*y + g1^3*t^7.686*y + g1^7*t^7.935*y + (2*t^8.254*y)/g1^12 + (t^8.378*y)/g1^10 + (2*t^8.503*y)/g1^8 + (4*t^8.627*y)/g1^6 + (2*t^8.751*y)/g1^4 + (5*t^8.876*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1377 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.7059 | 0.8679 | 0.8133 | [M:[1.0, 0.9256, 1.0744, 0.8511, 0.9256, 1.0372], q:[0.4442, 0.5558], qb:[0.4814, 0.5931], phi:[0.4814]] | t^2.553 + 2*t^2.777 + t^3. + 3*t^3.112 + t^4.109 + t^4.221 + t^4.332 + t^4.444 + 2*t^4.556 + t^4.668 + t^4.779 + t^4.891 + t^5.003 + t^5.107 + 2*t^5.33 + 3*t^5.553 + t^5.665 + t^5.777 + 4*t^5.888 - 3*t^6. - t^4.444/y - t^4.444*y | detail | |
| 2049 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.5827 | 0.7345 | 0.7934 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.7143], q:[0.2857, 0.7143], qb:[0.4286, 0.8571], phi:[0.4286]] | 2*t^2.143 + t^2.571 + 2*t^3. + 3*t^3.429 + t^3.857 + 3*t^4.286 + 3*t^4.714 + 5*t^5.143 + 6*t^5.571 + 3*t^6. - t^4.286/y - t^4.286*y | detail | {a: 1599/2744, c: 4031/5488, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 5/7, q1: 2/7, q2: 5/7, qb1: 3/7, qb2: 6/7, phi1: 3/7} |
| 2050 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}X_{1}$ | 0.635 | 0.7878 | 0.8061 | [X:[1.4444], M:[1.0, 0.7778, 1.2222, 0.5556, 0.7778], q:[0.3333, 0.6667], qb:[0.4444, 0.7778], phi:[0.4444]] | 2*t^2.333 + t^2.667 + t^3. + 3*t^3.333 + t^3.667 + t^4. + 2*t^4.333 + 4*t^4.667 + t^5. + 3*t^5.333 + 6*t^5.667 + 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 823/1296, c: 1021/1296, X1: 13/9, M1: 1, M2: 7/9, M3: 11/9, M4: 5/9, M5: 7/9, q1: 1/3, q2: 2/3, qb1: 4/9, qb2: 7/9, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 574 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ | 0.7096 | 0.8749 | 0.811 | [M:[1.0, 0.9169, 1.0831, 0.8338, 0.9169], q:[0.4404, 0.5596], qb:[0.4765, 0.6066], phi:[0.4792]] | t^2.501 + 2*t^2.751 + t^2.875 + t^3. + t^3.108 + t^3.141 + t^4.08 + t^4.188 + t^4.297 + t^4.438 + t^4.546 + t^4.579 + t^4.687 + t^4.795 + t^4.936 + t^5.003 + t^5.077 + 2*t^5.252 + t^5.377 + 3*t^5.501 + 2*t^5.626 + 2*t^5.751 + t^5.859 + t^5.875 + t^5.892 + t^5.984 - 3*t^6. - t^4.438/y - t^4.438*y | detail |