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 |
|---|---|---|---|---|---|---|---|---|---|
| 2107 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6707 | 0.8503 | 0.7887 | [M:[1.1963, 0.7324, 0.8037, 1.1251, 0.8749, 0.8037], q:[0.4374, 0.3662], qb:[0.7589, 0.5087], phi:[0.4822]] | [M:[[10], [-34], [-10], [-14], [14], [-10]], q:[[7], [-17]], qb:[[3], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | ${}$ | -2 | t^2.197 + 2*t^2.411 + t^2.625 + t^2.838 + t^2.893 + t^3.375 + t^3.644 + t^3.858 + 2*t^4.071 + t^4.285 + t^4.395 + t^4.499 + 2*t^4.608 + 4*t^4.822 + 3*t^5.036 + t^5.09 + 3*t^5.249 + 2*t^5.304 + t^5.463 + t^5.518 + t^5.677 + t^5.731 + t^5.786 + t^5.841 - 2*t^6. + 3*t^6.055 - 2*t^6.214 + 5*t^6.269 - t^6.427 + 5*t^6.482 + t^6.537 + t^6.592 + 4*t^6.696 + 2*t^6.806 + 4*t^6.91 + 4*t^7.019 + 2*t^7.123 - 2*t^7.178 + 5*t^7.233 + 2*t^7.288 + t^7.337 + 4*t^7.447 + 3*t^7.501 - t^7.605 + 3*t^7.66 + 6*t^7.715 + 2*t^7.874 + 4*t^7.929 - t^7.984 + t^8.039 + 2*t^8.088 + 5*t^8.142 - 2*t^8.197 + 3*t^8.252 + t^8.301 + 2*t^8.356 - 8*t^8.411 + 7*t^8.466 + t^8.515 + 3*t^8.57 - 8*t^8.625 + 9*t^8.68 + t^8.734 + t^8.783 + t^8.789 - 7*t^8.838 + 8*t^8.893 + 2*t^8.948 + t^8.997 - t^4.447/y - t^6.644/y - t^6.858/y - t^7.34/y + t^7.553/y + (2*t^7.608)/y + (2*t^7.822)/y + (4*t^8.036)/y + t^8.09/y + (3*t^8.249)/y + (2*t^8.304)/y + t^8.463/y + t^8.518/y + t^8.573/y + t^8.731/y + (2*t^8.786)/y - t^4.447*y - t^6.644*y - t^6.858*y - t^7.34*y + t^7.553*y + 2*t^7.608*y + 2*t^7.822*y + 4*t^8.036*y + t^8.09*y + 3*t^8.249*y + 2*t^8.304*y + t^8.463*y + t^8.518*y + t^8.573*y + t^8.731*y + 2*t^8.786*y | t^2.197/g1^34 + (2*t^2.411)/g1^10 + g1^14*t^2.625 + g1^38*t^2.838 + t^2.893/g1^12 + t^3.375/g1^14 + t^3.644/g1^40 + t^3.858/g1^16 + 2*g1^8*t^4.071 + g1^32*t^4.285 + t^4.395/g1^68 + g1^56*t^4.499 + (2*t^4.608)/g1^44 + (4*t^4.822)/g1^20 + 3*g1^4*t^5.036 + t^5.09/g1^46 + 3*g1^28*t^5.249 + (2*t^5.304)/g1^22 + g1^52*t^5.463 + g1^2*t^5.518 + g1^76*t^5.677 + g1^26*t^5.731 + t^5.786/g1^24 + t^5.841/g1^74 - 2*t^6. + (3*t^6.055)/g1^50 - 2*g1^24*t^6.214 + (5*t^6.269)/g1^26 - g1^48*t^6.427 + (5*t^6.482)/g1^2 + t^6.537/g1^52 + t^6.592/g1^102 + 4*g1^22*t^6.696 + (2*t^6.806)/g1^78 + 4*g1^46*t^6.91 + (4*t^7.019)/g1^54 + 2*g1^70*t^7.123 - 2*g1^20*t^7.178 + (5*t^7.233)/g1^30 + (2*t^7.288)/g1^80 + g1^94*t^7.337 + (4*t^7.447)/g1^6 + (3*t^7.501)/g1^56 - g1^68*t^7.605 + 3*g1^18*t^7.66 + (6*t^7.715)/g1^32 + 2*g1^42*t^7.874 + (4*t^7.929)/g1^8 - t^7.984/g1^58 + t^8.039/g1^108 + 2*g1^66*t^8.088 + 5*g1^16*t^8.142 - (2*t^8.197)/g1^34 + (3*t^8.252)/g1^84 + g1^90*t^8.301 + 2*g1^40*t^8.356 - (8*t^8.411)/g1^10 + (7*t^8.466)/g1^60 + g1^114*t^8.515 + 3*g1^64*t^8.57 - 8*g1^14*t^8.625 + (9*t^8.68)/g1^36 + t^8.734/g1^86 + g1^88*t^8.783 + t^8.789/g1^136 - 7*g1^38*t^8.838 + (8*t^8.893)/g1^12 + (2*t^8.948)/g1^62 + g1^112*t^8.997 - t^4.447/(g1^6*y) - t^6.644/(g1^40*y) - t^6.858/(g1^16*y) - t^7.34/(g1^18*y) + (g1^6*t^7.553)/y + (2*t^7.608)/(g1^44*y) + (2*t^7.822)/(g1^20*y) + (4*g1^4*t^8.036)/y + t^8.09/(g1^46*y) + (3*g1^28*t^8.249)/y + (2*t^8.304)/(g1^22*y) + (g1^52*t^8.463)/y + (g1^2*t^8.518)/y + t^8.573/(g1^48*y) + (g1^26*t^8.731)/y + (2*t^8.786)/(g1^24*y) - (t^4.447*y)/g1^6 - (t^6.644*y)/g1^40 - (t^6.858*y)/g1^16 - (t^7.34*y)/g1^18 + g1^6*t^7.553*y + (2*t^7.608*y)/g1^44 + (2*t^7.822*y)/g1^20 + 4*g1^4*t^8.036*y + (t^8.09*y)/g1^46 + 3*g1^28*t^8.249*y + (2*t^8.304*y)/g1^22 + g1^52*t^8.463*y + g1^2*t^8.518*y + (t^8.573*y)/g1^48 + g1^26*t^8.731*y + (2*t^8.786*y)/g1^24 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3204 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6699 | 0.849 | 0.7891 | [M:[1.1892, 0.7568, 0.8108, 1.1351, 0.8649, 0.8108], q:[0.4324, 0.3784], qb:[0.7568, 0.4865], phi:[0.4865]] | t^2.27 + 2*t^2.432 + t^2.595 + t^2.757 + t^2.919 + t^3.405 + t^3.73 + t^3.892 + 2*t^4.054 + t^4.216 + t^4.378 + t^4.541 + 2*t^4.703 + 4*t^4.865 + 3*t^5.027 + 4*t^5.189 + 3*t^5.351 + 2*t^5.514 + t^5.676 + t^5.838 - t^6. - t^4.459/y - t^4.459*y | detail | {a: 271461/405224, c: 172009/202612, M1: 44/37, M2: 28/37, M3: 30/37, M4: 42/37, M5: 32/37, M6: 30/37, q1: 16/37, q2: 14/37, qb1: 28/37, qb2: 18/37, phi1: 18/37} |
| 3206 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6909 | 0.8885 | 0.7776 | [M:[1.1951, 0.7368, 0.8049, 1.1269, 0.8731, 0.8049, 0.7121], q:[0.4365, 0.3684], qb:[0.7585, 0.5047], phi:[0.483]] | t^2.136 + t^2.21 + 2*t^2.415 + t^2.619 + t^2.824 + t^2.898 + t^3.381 + t^3.659 + 2*t^4.068 + 2*t^4.273 + t^4.347 + t^4.421 + t^4.477 + 2*t^4.551 + 2*t^4.625 + t^4.756 + 4*t^4.83 + t^4.96 + 4*t^5.034 + t^5.108 + 3*t^5.238 + 2*t^5.313 + t^5.443 + 2*t^5.517 + t^5.647 + t^5.721 + 2*t^5.796 + t^5.87 - 2*t^6. - t^4.449/y - t^4.449*y | detail | |
| 3205 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 0.6677 | 0.8486 | 0.7868 | [M:[1.2105, 0.6842, 0.7895, 1.1053, 0.8947, 0.7895], q:[0.4474, 0.3421], qb:[0.7632, 0.5526], phi:[0.4737]] | t^2.053 + 2*t^2.368 + t^2.684 + t^2.842 + t^3. + t^3.316 + t^3.474 + t^3.789 + 3*t^4.105 + 3*t^4.421 + 5*t^4.737 + t^4.895 + 3*t^5.053 + 2*t^5.211 + 3*t^5.368 + 2*t^5.526 + 2*t^5.684 + 4*t^5.842 - t^6. - t^4.421/y - t^4.421*y | detail | {a: 73275/109744, c: 46565/54872, M1: 23/19, M2: 13/19, M3: 15/19, M4: 21/19, M5: 17/19, M6: 15/19, q1: 17/38, q2: 13/38, qb1: 29/38, qb2: 21/38, phi1: 9/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 994 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ | 0.708 | 0.8721 | 0.8119 | [M:[1.0721, 0.8491, 0.9279, 0.9932, 1.0068, 0.9279], q:[0.5034, 0.4245], qb:[0.5687, 0.5822], phi:[0.4803]] | t^2.547 + 2*t^2.784 + t^2.882 + t^2.98 + t^3.02 + t^3.257 + t^3.988 + t^4.225 + t^4.421 + 2*t^4.461 + t^4.657 + t^4.698 + t^4.853 + t^4.894 + t^4.934 + t^5.095 + 2*t^5.331 + t^5.429 + 3*t^5.568 + 2*t^5.666 + t^5.764 + 2*t^5.804 + t^5.861 + t^5.902 - 3*t^6. - t^4.441/y - t^4.441*y | detail |