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 |
|---|---|---|---|---|---|---|---|---|---|
| 48185 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6824 | 0.8425 | 0.8099 | [M:[0.9398, 1.0033, 1.1237, 0.7492, 0.8127], q:[0.5903, 0.4699], qb:[0.4064, 0.7809], phi:[0.4381]] | [M:[[-22], [-32], [12], [8], [-2]], q:[[33], [-11]], qb:[[-1], [3]], phi:[[-6]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$ | ${}$ | -1 | t^2.247 + t^2.438 + t^2.629 + t^2.819 + t^3.01 + t^3.371 + t^3.753 + t^3.943 + t^4.114 + t^4.134 + t^4.304 + 2*t^4.495 + t^4.686 + t^4.856 + 2*t^4.876 + 2*t^5.067 + 3*t^5.258 + t^5.448 + t^5.619 + t^5.639 + t^5.829 - t^6. + t^6.02 + t^6.191 + 3*t^6.381 + t^6.552 + 2*t^6.572 + 3*t^6.742 + 2*t^6.763 + 2*t^6.933 + t^6.953 + t^7.104 + 2*t^7.124 + t^7.144 + t^7.294 + 3*t^7.314 + t^7.485 + 4*t^7.505 + 3*t^7.696 + t^7.866 + 4*t^7.886 + 3*t^8.077 + t^8.227 - t^8.247 + 3*t^8.268 - 2*t^8.438 + 2*t^8.458 + t^8.609 + t^8.629 + t^8.649 - t^8.819 + t^8.839 + t^8.97 + 3*t^8.99 - t^4.314/y - t^6.562/y - t^6.753/y - t^7.134/y + t^7.304/y - t^7.324/y + t^7.495/y + t^7.686/y + (2*t^7.876)/y + (3*t^8.067)/y + (2*t^8.258)/y + (2*t^8.448)/y + t^8.619/y + t^8.639/y + t^8.829/y - t^4.314*y - t^6.562*y - t^6.753*y - t^7.134*y + t^7.304*y - t^7.324*y + t^7.495*y + t^7.686*y + 2*t^7.876*y + 3*t^8.067*y + 2*t^8.258*y + 2*t^8.448*y + t^8.619*y + t^8.639*y + t^8.829*y | g1^8*t^2.247 + t^2.438/g1^2 + t^2.629/g1^12 + t^2.819/g1^22 + t^3.01/g1^32 + g1^12*t^3.371 + t^3.753/g1^8 + t^3.943/g1^18 + g1^36*t^4.114 + t^4.134/g1^28 + g1^26*t^4.304 + 2*g1^16*t^4.495 + g1^6*t^4.686 + g1^60*t^4.856 + (2*t^4.876)/g1^4 + (2*t^5.067)/g1^14 + (3*t^5.258)/g1^24 + t^5.448/g1^34 + g1^20*t^5.619 + t^5.639/g1^44 + t^5.829/g1^54 - t^6. + t^6.02/g1^64 + t^6.191/g1^10 + (3*t^6.381)/g1^20 + g1^34*t^6.552 + (2*t^6.572)/g1^30 + 3*g1^24*t^6.742 + (2*t^6.763)/g1^40 + 2*g1^14*t^6.933 + t^6.953/g1^50 + g1^68*t^7.104 + 2*g1^4*t^7.124 + t^7.144/g1^60 + g1^58*t^7.294 + (3*t^7.314)/g1^6 + g1^48*t^7.485 + (4*t^7.505)/g1^16 + (3*t^7.696)/g1^26 + g1^28*t^7.866 + (4*t^7.886)/g1^36 + (3*t^8.077)/g1^46 + g1^72*t^8.227 - g1^8*t^8.247 + (3*t^8.268)/g1^56 - (2*t^8.438)/g1^2 + (2*t^8.458)/g1^66 + g1^52*t^8.609 + t^8.629/g1^12 + t^8.649/g1^76 - t^8.819/g1^22 + t^8.839/g1^86 + g1^96*t^8.97 + 3*g1^32*t^8.99 - t^4.314/(g1^6*y) - (g1^2*t^6.562)/y - t^6.753/(g1^8*y) - t^7.134/(g1^28*y) + (g1^26*t^7.304)/y - t^7.324/(g1^38*y) + (g1^16*t^7.495)/y + (g1^6*t^7.686)/y + (2*t^7.876)/(g1^4*y) + (3*t^8.067)/(g1^14*y) + (2*t^8.258)/(g1^24*y) + (2*t^8.448)/(g1^34*y) + (g1^20*t^8.619)/y + t^8.639/(g1^44*y) + t^8.829/(g1^54*y) - (t^4.314*y)/g1^6 - g1^2*t^6.562*y - (t^6.753*y)/g1^8 - (t^7.134*y)/g1^28 + g1^26*t^7.304*y - (t^7.324*y)/g1^38 + g1^16*t^7.495*y + g1^6*t^7.686*y + (2*t^7.876*y)/g1^4 + (3*t^8.067*y)/g1^14 + (2*t^8.258*y)/g1^24 + (2*t^8.448*y)/g1^34 + g1^20*t^8.619*y + (t^8.639*y)/g1^44 + (t^8.829*y)/g1^54 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55931 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ | 0.6813 | 0.841 | 0.8101 | [M:[0.963, 1.037, 1.1111, 0.7407, 0.8148], q:[0.5556, 0.4815], qb:[0.4074, 0.7778], phi:[0.4444]] | t^2.222 + t^2.444 + t^2.667 + t^2.889 + t^3.111 + t^3.333 + t^3.778 + 2*t^4. + 2*t^4.222 + 2*t^4.444 + 2*t^4.667 + 2*t^4.889 + 2*t^5.111 + 3*t^5.333 + 2*t^5.556 + t^5.778 - t^4.333/y - t^4.333*y | detail | {a: 883/1296, c: 545/648, M1: 26/27, M2: 28/27, M3: 10/9, M4: 20/27, M5: 22/27, q1: 5/9, q2: 13/27, qb1: 11/27, qb2: 7/9, phi1: 4/9} |
| 55934 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.6779 | 0.8353 | 0.8115 | [M:[0.9634, 1.0377, 1.1109, 0.7406, 0.8149, 1.0366], q:[0.5549, 0.4817], qb:[0.4074, 0.7777], phi:[0.4446]] | t^2.222 + t^2.445 + t^2.667 + t^3.11 + t^3.113 + t^3.333 + t^3.778 + t^3.998 + t^4.001 + t^4.221 + t^4.224 + 2*t^4.444 + t^4.663 + t^4.666 + 2*t^4.889 + t^5.112 + t^5.332 + 2*t^5.335 + 2*t^5.554 + t^5.777 - t^6. - t^4.334/y - t^4.334*y | detail | |
| 54130 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ | 0.6752 | 0.8343 | 0.8093 | [M:[1.0, 1.0909, 1.0909, 0.7273, 0.8182], q:[0.5, 0.5], qb:[0.4091, 0.7727], phi:[0.4545]] | t^2.182 + t^2.455 + t^2.727 + t^3. + 2*t^3.273 + 2*t^3.818 + 2*t^4.091 + 4*t^4.364 + t^4.636 + 2*t^4.909 + 2*t^5.182 + 4*t^5.455 + t^5.727 - t^4.364/y - t^4.364*y | detail | {a: 14379/21296, c: 17767/21296, M1: 1, M2: 12/11, M3: 12/11, M4: 8/11, M5: 9/11, q1: 1/2, q2: 1/2, qb1: 9/22, qb2: 17/22, phi1: 5/11} |
| 55932 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ | 0.6633 | 0.8079 | 0.821 | [M:[0.9359, 0.9977, 1.1259, 0.7506, 0.8124, 1.2494], q:[0.5961, 0.468], qb:[0.4062, 0.7815], phi:[0.4371]] | t^2.437 + t^2.622 + t^2.808 + t^2.993 + t^3.378 + 2*t^3.748 + t^3.934 + t^4.119 + t^4.133 + t^4.318 + t^4.503 + t^4.874 + t^4.888 + t^5.059 + 2*t^5.245 + t^5.43 + t^5.615 + t^5.801 + t^5.986 - 2*t^6. - t^4.311/y - t^4.311*y | detail | |
| 52636 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ | 0.7015 | 0.8773 | 0.7996 | [M:[0.9436, 1.0088, 1.1217, 0.7478, 0.8131, 0.7478], q:[0.5847, 0.4718], qb:[0.4065, 0.7804], phi:[0.4392]] | 2*t^2.243 + t^2.439 + t^2.635 + t^2.831 + t^3.026 + t^3.365 + t^3.952 + t^4.095 + t^4.148 + t^4.291 + 4*t^4.487 + 2*t^4.683 + t^4.825 + 3*t^4.878 + 3*t^5.074 + 4*t^5.27 + t^5.466 + 2*t^5.608 + t^5.661 + t^5.857 - 2*t^6. - t^4.317/y - t^4.317*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46533 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0.6667 | 0.8151 | 0.8179 | [M:[0.9413, 1.0055, 1.1229, 0.7486], q:[0.588, 0.4707], qb:[0.4064, 0.7807], phi:[0.4385]] | t^2.246 + t^2.631 + t^2.824 + t^3.017 + t^3.369 + t^3.561 + t^3.754 + t^3.947 + t^4.106 + t^4.14 + t^4.299 + 2*t^4.492 + t^4.844 + t^4.877 + t^5.07 + 2*t^5.262 + t^5.615 + t^5.648 + t^5.841 - t^6. - t^4.316/y - t^4.316*y | detail |