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 |
|---|---|---|---|---|---|---|---|---|---|
| 2944 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6481 | 0.853 | 0.7598 | [M:[0.9775, 1.0675, 0.9325, 0.7219, 0.7669, 0.8118], q:[0.7444, 0.2781], qb:[0.4888, 0.4438], phi:[0.5112]] | [M:[[4], [-12], [12], [5], [-3], [-11]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$ | ${}M_{3}\phi_{1}q_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0 | 2*t^2.166 + 2*t^2.301 + t^2.436 + t^2.798 + t^2.933 + t^3.067 + t^3.202 + t^3.699 + t^4.196 + 4*t^4.331 + 5*t^4.466 + 5*t^4.601 + 2*t^4.736 + t^4.871 + 2*t^4.963 + 4*t^5.098 + 5*t^5.233 + 4*t^5.368 + 2*t^5.503 + t^5.595 + t^5.638 + t^5.73 + 2*t^5.865 + t^6.27 + 2*t^6.362 + t^6.405 + 7*t^6.497 + 8*t^6.632 + 9*t^6.767 + 7*t^6.902 + t^6.994 + 4*t^7.037 + 4*t^7.129 + 2*t^7.172 + 8*t^7.264 + t^7.307 + 10*t^7.399 + 9*t^7.534 + 7*t^7.669 + 2*t^7.761 + 5*t^7.804 + 4*t^7.896 + 2*t^7.939 + 3*t^8.031 + t^8.073 - 2*t^8.166 - 3*t^8.301 + 2*t^8.393 - 2*t^8.436 + 5*t^8.528 + 2*t^8.57 + 11*t^8.663 + 2*t^8.705 + 10*t^8.798 + t^8.84 + 8*t^8.933 - t^4.534/y - t^6.699/y - t^6.834/y - t^6.969/y + t^7.331/y + (4*t^7.466)/y + (3*t^7.601)/y + (2*t^7.736)/y + (2*t^7.963)/y + (5*t^8.098)/y + (6*t^8.233)/y + (6*t^8.368)/y + (3*t^8.503)/y + t^8.638/y + t^8.73/y + (2*t^8.865)/y - t^4.534*y - t^6.699*y - t^6.834*y - t^6.969*y + t^7.331*y + 4*t^7.466*y + 3*t^7.601*y + 2*t^7.736*y + 2*t^7.963*y + 5*t^8.098*y + 6*t^8.233*y + 6*t^8.368*y + 3*t^8.503*y + t^8.638*y + t^8.73*y + 2*t^8.865*y | 2*g1^5*t^2.166 + (2*t^2.301)/g1^3 + t^2.436/g1^11 + g1^12*t^2.798 + g1^4*t^2.933 + t^3.067/g1^4 + t^3.202/g1^12 + g1^3*t^3.699 + g1^18*t^4.196 + 4*g1^10*t^4.331 + 5*g1^2*t^4.466 + (5*t^4.601)/g1^6 + (2*t^4.736)/g1^14 + t^4.871/g1^22 + 2*g1^17*t^4.963 + 4*g1^9*t^5.098 + 5*g1*t^5.233 + (4*t^5.368)/g1^7 + (2*t^5.503)/g1^15 + g1^24*t^5.595 + t^5.638/g1^23 + g1^16*t^5.73 + 2*g1^8*t^5.865 + t^6.27/g1^16 + 2*g1^23*t^6.362 + t^6.405/g1^24 + 7*g1^15*t^6.497 + 8*g1^7*t^6.632 + (9*t^6.767)/g1 + (7*t^6.902)/g1^9 + g1^30*t^6.994 + (4*t^7.037)/g1^17 + 4*g1^22*t^7.129 + (2*t^7.172)/g1^25 + 8*g1^14*t^7.264 + t^7.307/g1^33 + 10*g1^6*t^7.399 + (9*t^7.534)/g1^2 + (7*t^7.669)/g1^10 + 2*g1^29*t^7.761 + (5*t^7.804)/g1^18 + 4*g1^21*t^7.896 + (2*t^7.939)/g1^26 + 3*g1^13*t^8.031 + t^8.073/g1^34 - 2*g1^5*t^8.166 - (3*t^8.301)/g1^3 + 2*g1^36*t^8.393 - (2*t^8.436)/g1^11 + 5*g1^28*t^8.528 + (2*t^8.57)/g1^19 + 11*g1^20*t^8.663 + (2*t^8.705)/g1^27 + 10*g1^12*t^8.798 + t^8.84/g1^35 + 8*g1^4*t^8.933 - t^4.534/(g1^2*y) - (g1^3*t^6.699)/y - t^6.834/(g1^5*y) - t^6.969/(g1^13*y) + (g1^10*t^7.331)/y + (4*g1^2*t^7.466)/y + (3*t^7.601)/(g1^6*y) + (2*t^7.736)/(g1^14*y) + (2*g1^17*t^7.963)/y + (5*g1^9*t^8.098)/y + (6*g1*t^8.233)/y + (6*t^8.368)/(g1^7*y) + (3*t^8.503)/(g1^15*y) + t^8.638/(g1^23*y) + (g1^16*t^8.73)/y + (2*g1^8*t^8.865)/y - (t^4.534*y)/g1^2 - g1^3*t^6.699*y - (t^6.834*y)/g1^5 - (t^6.969*y)/g1^13 + g1^10*t^7.331*y + 4*g1^2*t^7.466*y + (3*t^7.601*y)/g1^6 + (2*t^7.736*y)/g1^14 + 2*g1^17*t^7.963*y + 5*g1^9*t^8.098*y + 6*g1*t^8.233*y + (6*t^8.368*y)/g1^7 + (3*t^8.503*y)/g1^15 + (t^8.638*y)/g1^23 + g1^16*t^8.73*y + 2*g1^8*t^8.865*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 3530 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6437 | 0.8502 | 0.7571 | [M:[0.9565, 1.1304, 0.8696, 0.6957, 0.7826, 0.8696], q:[0.7391, 0.3043], qb:[0.4783, 0.3913], phi:[0.5217]] | 2*t^2.087 + 2*t^2.348 + 2*t^2.609 + t^2.87 + t^3.13 + t^3.391 + t^3.652 + t^3.913 + 4*t^4.174 + 5*t^4.435 + 7*t^4.696 + 6*t^4.957 + 7*t^5.217 + 5*t^5.478 + 4*t^5.739 + 3*t^6. - t^4.565/y - t^4.565*y | detail | {a: 681/1058, c: 1799/2116, M1: 22/23, M2: 26/23, M3: 20/23, M4: 16/23, M5: 18/23, M6: 20/23, q1: 17/23, q2: 7/23, qb1: 11/23, qb2: 9/23, phi1: 12/23} |
| 3528 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.656 | 0.8685 | 0.7554 | [M:[0.9649, 1.1052, 0.8948, 0.7062, 0.7763, 0.8464, 0.8948], q:[0.7412, 0.2938], qb:[0.4825, 0.4123], phi:[0.5175]] | 2*t^2.118 + 2*t^2.329 + t^2.539 + 2*t^2.684 + t^2.895 + t^3.105 + t^3.671 + t^4.027 + 4*t^4.237 + 5*t^4.447 + 5*t^4.658 + 4*t^4.803 + 2*t^4.868 + 6*t^5.013 + t^5.079 + 6*t^5.224 + 3*t^5.369 + 2*t^5.434 + 2*t^5.579 + 3*t^5.79 - t^6. - t^4.553/y - t^4.553*y | detail | |
| 3529 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6664 | 0.8858 | 0.7523 | [M:[0.9793, 1.0621, 0.9379, 0.7241, 0.7655, 0.807, 0.7655], q:[0.7448, 0.2759], qb:[0.4896, 0.4482], phi:[0.5104]] | 2*t^2.172 + 3*t^2.297 + t^2.421 + t^2.814 + t^2.938 + t^3.062 + t^3.186 + t^4.22 + 4*t^4.345 + 7*t^4.469 + 8*t^4.593 + 3*t^4.718 + t^4.842 + 2*t^4.986 + 5*t^5.11 + 6*t^5.234 + 5*t^5.359 + 3*t^5.483 + t^5.607 + t^5.627 + t^5.751 - 2*t^6. - t^4.531/y - t^4.531*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1913 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6332 | 0.8288 | 0.764 | [M:[0.9677, 1.0969, 0.9031, 0.7096, 0.7742], q:[0.7419, 0.2904], qb:[0.4838, 0.4192], phi:[0.5162]] | 2*t^2.129 + 2*t^2.323 + t^2.709 + t^2.903 + t^3.097 + t^3.291 + t^3.483 + t^3.677 + t^4.064 + 4*t^4.258 + 5*t^4.452 + 3*t^4.645 + 2*t^4.838 + 4*t^5.032 + 4*t^5.226 + t^5.418 + 3*t^5.42 + 3*t^5.612 + t^5.614 + 4*t^5.806 - t^4.548/y - t^4.548*y | detail |