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 |
|---|---|---|---|---|---|---|---|---|---|
| 1486 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{6}$ | 0.6918 | 0.8476 | 0.8162 | [M:[0.991, 1.003, 1.009, 0.9849, 1.0151, 0.997], q:[0.5075, 0.5015], qb:[0.4834, 0.5136], phi:[0.4985]] | [M:[[-6], [2], [6], [-10], [10], [-2]], q:[[5], [1]], qb:[[-11], [9]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$ | ${}$ | -2 | t^2.955 + t^2.973 + 2*t^2.991 + t^3.027 + t^3.045 + t^3.063 + t^4.396 + t^4.45 + t^4.468 + t^4.486 + t^4.505 + t^4.523 + 2*t^4.541 + t^4.559 + t^4.577 + 2*t^5.946 + t^5.964 + 2*t^5.982 - 2*t^6. + t^6.018 + 2*t^6.036 + 2*t^6.054 + t^6.09 + t^6.109 + t^6.127 + t^7.351 + t^7.369 + 2*t^7.387 - t^7.405 + t^7.423 + 3*t^7.441 + 2*t^7.459 + t^7.477 + t^7.495 + 2*t^7.514 + 5*t^7.532 + 2*t^7.55 + 3*t^7.568 + t^7.586 + 3*t^7.604 + 2*t^7.622 + t^7.64 + t^8.792 + t^8.846 + t^8.864 + t^8.919 + 4*t^8.937 - 5*t^8.991 - t^4.495/y - t^7.486/y + t^7.505/y + t^8.928/y + (2*t^8.946)/y + (2*t^8.964)/y + (2*t^8.982)/y - t^4.495*y - t^7.486*y + t^7.505*y + t^8.928*y + 2*t^8.946*y + 2*t^8.964*y + 2*t^8.982*y | t^2.955/g1^10 + t^2.973/g1^6 + (2*t^2.991)/g1^2 + g1^6*t^3.027 + g1^10*t^3.045 + g1^14*t^3.063 + t^4.396/g1^23 + t^4.45/g1^11 + t^4.468/g1^7 + t^4.486/g1^3 + g1*t^4.505 + g1^5*t^4.523 + 2*g1^9*t^4.541 + g1^13*t^4.559 + g1^17*t^4.577 + (2*t^5.946)/g1^12 + t^5.964/g1^8 + (2*t^5.982)/g1^4 - 2*t^6. + g1^4*t^6.018 + 2*g1^8*t^6.036 + 2*g1^12*t^6.054 + g1^20*t^6.09 + g1^24*t^6.109 + g1^28*t^6.127 + t^7.351/g1^33 + t^7.369/g1^29 + (2*t^7.387)/g1^25 - t^7.405/g1^21 + t^7.423/g1^17 + (3*t^7.441)/g1^13 + (2*t^7.459)/g1^9 + t^7.477/g1^5 + t^7.495/g1 + 2*g1^3*t^7.514 + 5*g1^7*t^7.532 + 2*g1^11*t^7.55 + 3*g1^15*t^7.568 + g1^19*t^7.586 + 3*g1^23*t^7.604 + 2*g1^27*t^7.622 + g1^31*t^7.64 + t^8.792/g1^46 + t^8.846/g1^34 + t^8.864/g1^30 + t^8.919/g1^18 + (4*t^8.937)/g1^14 - (5*t^8.991)/g1^2 - t^4.495/(g1*y) - t^7.486/(g1^3*y) + (g1*t^7.505)/y + t^8.928/(g1^16*y) + (2*t^8.946)/(g1^12*y) + (2*t^8.964)/(g1^8*y) + (2*t^8.982)/(g1^4*y) - (t^4.495*y)/g1 - (t^7.486*y)/g1^3 + g1*t^7.505*y + (t^8.928*y)/g1^16 + (2*t^8.946*y)/g1^12 + (2*t^8.964*y)/g1^8 + (2*t^8.982*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 |
|---|---|---|---|---|---|---|---|---|
| 2563 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}M_{7}$ | 0.6931 | 0.8495 | 0.8159 | [M:[0.9823, 1.0059, 1.0177, 0.9706, 1.0294, 0.9941, 0.9823], q:[0.5147, 0.5029], qb:[0.4676, 0.5265], phi:[0.4971]] | t^2.912 + 2*t^2.947 + 2*t^2.982 + t^3.088 + t^3.124 + t^4.297 + t^4.403 + t^4.438 + t^4.474 + t^4.509 + t^4.544 + 2*t^4.579 + t^4.615 + t^4.65 + t^5.859 + 4*t^5.894 + 3*t^5.929 + t^5.965 - 3*t^6. - t^4.491/y - t^4.491*y | detail | |
| 2576 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }M_{4}M_{7}$ | 0.6916 | 0.8487 | 0.8149 | [M:[1.0054, 0.9982, 0.9946, 1.0091, 0.9909, 1.0018, 0.9909], q:[0.4955, 0.4991], qb:[0.51, 0.4918], phi:[0.5009]] | t^2.962 + 2*t^2.973 + t^2.984 + 2*t^3.005 + t^3.016 + t^4.454 + t^4.465 + 2*t^4.475 + t^4.486 + t^4.497 + t^4.508 + t^4.519 + t^4.53 + t^4.563 + t^5.924 + 2*t^5.935 + 3*t^5.946 + t^5.956 + 2*t^5.967 + 4*t^5.978 + t^5.989 - 3*t^6. - t^4.503/y - t^4.503*y | detail | |
| 2565 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }M_{5}M_{7}$ | 0.6944 | 0.8518 | 0.8152 | [M:[0.9768, 1.0077, 1.0232, 0.9613, 1.0387, 0.9923, 0.9613], q:[0.5193, 0.5039], qb:[0.4574, 0.5348], phi:[0.4961]] | 2*t^2.884 + t^2.93 + 2*t^2.977 + t^3.07 + t^3.163 + t^4.233 + t^4.372 + t^4.419 + t^4.465 + t^4.512 + t^4.558 + 2*t^4.604 + t^4.651 + t^4.697 + 2*t^5.768 + t^5.814 + 4*t^5.861 + t^5.907 + 3*t^5.954 - 3*t^6. - t^4.488/y - t^4.488*y | detail | |
| 2575 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.5343 | 0.6814 | 0.7842 | [M:[0.8235, 1.0588, 1.1765, 0.7059, 1.2941, 0.9412], q:[0.6471, 0.5294], qb:[0.1765, 0.7647], phi:[0.4706]] | t^2.118 + 2*t^2.471 + 2*t^2.824 + 2*t^3.529 + 2*t^3.882 + 2*t^4.235 + 2*t^4.588 + 5*t^4.941 + 5*t^5.294 + 2*t^5.647 + t^6. - t^4.412/y - t^4.412*y | detail | {a: 2625/4913, c: 6695/9826, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 22/17, M6: 16/17, q1: 11/17, q2: 9/17, qb1: 3/17, qb2: 13/17, phi1: 8/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 958 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ | 0.6916 | 0.8474 | 0.8161 | [M:[0.9938, 1.0021, 1.0062, 0.9897, 1.0103], q:[0.5051, 0.501], qb:[0.4887, 0.5092], phi:[0.499]] | t^2.969 + t^2.982 + t^2.994 + t^3.006 + t^3.018 + t^3.031 + t^3.043 + t^4.429 + t^4.466 + t^4.478 + t^4.491 + t^4.503 + t^4.515 + 2*t^4.528 + t^4.54 + t^4.552 + t^5.963 + t^5.975 + t^5.988 - t^6. - t^4.497/y - t^4.497*y | detail |