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 |
|---|---|---|---|---|---|---|---|---|---|
| 48217 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6814 | 0.8523 | 0.7995 | [M:[1.1632, 1.0209, 0.8368, 0.7755, 0.7141], q:[0.3877, 0.4491], qb:[0.5914, 0.7755], phi:[0.4491]] | [M:[[3], [-18], [-3], [2], [7]], q:[[1], [-4]], qb:[[17], [2]], phi:[[-4]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.142 + t^2.326 + t^2.51 + t^2.694 + t^3.063 + t^3.121 + t^3.49 + t^3.674 + t^4.042 + t^4.101 + 2*t^4.285 + 2*t^4.469 + 2*t^4.653 + 2*t^4.837 + t^4.896 + 2*t^5.021 + 2*t^5.205 + t^5.264 + t^5.389 + t^5.448 + 2*t^5.632 + t^5.757 + 2*t^5.816 - t^6. + t^6.125 + 2*t^6.184 + 2*t^6.243 + t^6.368 + 2*t^6.427 + t^6.552 + 3*t^6.611 + t^6.736 + 4*t^6.795 - t^6.92 + 3*t^6.979 + t^7.038 + t^7.104 + 4*t^7.163 + 2*t^7.222 + 2*t^7.347 + 2*t^7.406 + 3*t^7.531 + 3*t^7.59 + 2*t^7.715 + 2*t^7.774 + t^7.899 + 3*t^7.958 + t^8.017 + 2*t^8.083 + t^8.267 + 3*t^8.385 + 2*t^8.451 + 4*t^8.569 - t^8.694 + 3*t^8.753 + t^8.82 + t^8.879 + 5*t^8.937 + t^8.996 - t^4.347/y - t^6.49/y - t^6.674/y - t^7.042/y + t^7.285/y - t^7.41/y + t^7.469/y + (2*t^7.653)/y + (2*t^7.837)/y + (2*t^8.021)/y + (3*t^8.205)/y + t^8.264/y + t^8.389/y + t^8.448/y + t^8.573/y + t^8.632/y + t^8.757/y + (2*t^8.816)/y - t^4.347*y - t^6.49*y - t^6.674*y - t^7.042*y + t^7.285*y - t^7.41*y + t^7.469*y + 2*t^7.653*y + 2*t^7.837*y + 2*t^8.021*y + 3*t^8.205*y + t^8.264*y + t^8.389*y + t^8.448*y + t^8.573*y + t^8.632*y + t^8.757*y + 2*t^8.816*y | g1^7*t^2.142 + g1^2*t^2.326 + t^2.51/g1^3 + t^2.694/g1^8 + t^3.063/g1^18 + g1^13*t^3.121 + g1^3*t^3.49 + t^3.674/g1^2 + t^4.042/g1^12 + g1^19*t^4.101 + 2*g1^14*t^4.285 + 2*g1^9*t^4.469 + 2*g1^4*t^4.653 + (2*t^4.837)/g1 + g1^30*t^4.896 + (2*t^5.021)/g1^6 + (2*t^5.205)/g1^11 + g1^20*t^5.264 + t^5.389/g1^16 + g1^15*t^5.448 + 2*g1^10*t^5.632 + t^5.757/g1^26 + 2*g1^5*t^5.816 - t^6. + t^6.125/g1^36 + (2*t^6.184)/g1^5 + 2*g1^26*t^6.243 + t^6.368/g1^10 + 2*g1^21*t^6.427 + t^6.552/g1^15 + 3*g1^16*t^6.611 + t^6.736/g1^20 + 4*g1^11*t^6.795 - t^6.92/g1^25 + 3*g1^6*t^6.979 + g1^37*t^7.038 + t^7.104/g1^30 + 4*g1*t^7.163 + 2*g1^32*t^7.222 + (2*t^7.347)/g1^4 + 2*g1^27*t^7.406 + (3*t^7.531)/g1^9 + 3*g1^22*t^7.59 + (2*t^7.715)/g1^14 + 2*g1^17*t^7.774 + t^7.899/g1^19 + 3*g1^12*t^7.958 + g1^43*t^8.017 + (2*t^8.083)/g1^24 + t^8.267/g1^29 + 3*g1^33*t^8.385 + (2*t^8.451)/g1^34 + 4*g1^28*t^8.569 - t^8.694/g1^8 + 3*g1^23*t^8.753 + t^8.82/g1^44 + t^8.879/g1^13 + 5*g1^18*t^8.937 + g1^49*t^8.996 - t^4.347/(g1^4*y) - (g1^3*t^6.49)/y - t^6.674/(g1^2*y) - t^7.042/(g1^12*y) + (g1^14*t^7.285)/y - t^7.41/(g1^22*y) + (g1^9*t^7.469)/y + (2*g1^4*t^7.653)/y + (2*t^7.837)/(g1*y) + (2*t^8.021)/(g1^6*y) + (3*t^8.205)/(g1^11*y) + (g1^20*t^8.264)/y + t^8.389/(g1^16*y) + (g1^15*t^8.448)/y + t^8.573/(g1^21*y) + (g1^10*t^8.632)/y + t^8.757/(g1^26*y) + (2*g1^5*t^8.816)/y - (t^4.347*y)/g1^4 - g1^3*t^6.49*y - (t^6.674*y)/g1^2 - (t^7.042*y)/g1^12 + g1^14*t^7.285*y - (t^7.41*y)/g1^22 + g1^9*t^7.469*y + 2*g1^4*t^7.653*y + (2*t^7.837*y)/g1 + (2*t^8.021*y)/g1^6 + (3*t^8.205*y)/g1^11 + g1^20*t^8.264*y + (t^8.389*y)/g1^16 + g1^15*t^8.448*y + (t^8.573*y)/g1^21 + g1^10*t^8.632*y + (t^8.757*y)/g1^26 + 2*g1^5*t^8.816*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 |
|---|---|---|---|---|---|---|---|---|
| 53673 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{4}M_{6}$ | 0.6636 | 0.8203 | 0.8089 | [M:[1.1638, 1.0171, 0.8362, 0.7759, 0.7156, 1.2241], q:[0.3879, 0.4482], qb:[0.595, 0.7759], phi:[0.4482]] | t^2.147 + t^2.509 + t^2.689 + t^3.051 + t^3.13 + t^3.491 + 2*t^3.672 + t^4.034 + t^4.113 + 2*t^4.293 + t^4.474 + t^4.655 + t^4.836 + t^4.915 + t^5.017 + 2*t^5.198 + t^5.276 + 2*t^5.638 + t^5.741 + 2*t^5.819 - 2*t^6. - t^4.345/y - t^4.345*y | detail | |
| 55953 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6726 | 0.8389 | 0.8018 | [M:[1.159, 1.046, 0.841, 0.7727, 0.7043, 1.0907], q:[0.3863, 0.4547], qb:[0.5676, 0.7727], phi:[0.4547]] | t^2.113 + t^2.318 + t^2.523 + t^3.067 + t^3.138 + t^3.272 + t^3.477 + t^3.682 + t^4.021 + t^4.092 + 2*t^4.226 + 2*t^4.431 + 2*t^4.636 + t^4.77 + t^4.841 + t^5.046 + t^5.18 + t^5.251 + 2*t^5.385 + 3*t^5.59 + 2*t^5.795 - t^6. - t^4.364/y - t^4.364*y | detail | |
| 50915 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }\phi_{1}^{2}X_{2}$ | 0.4303 | 0.5191 | 0.8289 | [X:[1.5789, 1.3684], M:[1.2632, 0.4211, 0.7368, 0.8421, 0.9474], q:[0.4211, 0.3158], qb:[1.1579, 0.8421], phi:[0.3158]] | t^2.211 + t^2.526 + 2*t^2.842 + t^4.105 + t^4.421 + t^4.737 + 3*t^5.053 + 2*t^5.368 + 2*t^5.684 - 2*t^6. - t^3.947/y - t^3.947*y | detail | {a: 47223/109744, c: 28485/54872, X1: 30/19, X2: 26/19, M1: 24/19, M2: 8/19, M3: 14/19, M4: 16/19, M5: 18/19, q1: 8/19, q2: 6/19, qb1: 22/19, qb2: 16/19, phi1: 6/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46708 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ | 0.6816 | 0.8525 | 0.7995 | [M:[1.159, 1.0231, 0.841, 0.765, 0.712], q:[0.3825, 0.4585], qb:[0.5944, 0.7765], phi:[0.447]] | t^2.136 + t^2.295 + t^2.523 + t^2.682 + t^3.069 + t^3.159 + t^3.477 + t^3.636 + t^4.092 + t^4.113 + 2*t^4.272 + t^4.431 + t^4.5 + t^4.59 + t^4.659 + 2*t^4.818 + t^4.907 + t^4.977 + t^5.046 + 2*t^5.205 + t^5.295 + t^5.364 + t^5.454 + t^5.613 + t^5.682 + t^5.751 + t^5.772 + t^5.841 + t^5.931 - 2*t^6. - t^4.341/y - t^4.341*y | detail |