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 |
|---|---|---|---|---|---|---|---|---|---|
| 952 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7182 | 0.8876 | 0.8092 | [M:[1.0601, 0.8198, 0.8798, 1.0, 1.0, 0.8798], q:[0.53, 0.4099], qb:[0.5901, 0.5901], phi:[0.47]] | [M:[[2, 2], [-6, -6], [-7, -1], [3, -3], [-3, 3], [-1, -7]], q:[[1, 1], [-3, -3]], qb:[[6, 0], [0, 6]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{3}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{4}^{2}$, ${ }M_{5}^{2}$ | -2 | t^2.459 + 2*t^2.64 + t^2.82 + 2*t^3. + t^3.18 + t^3.869 + t^4.23 + 2*t^4.41 + t^4.59 + 2*t^4.77 + t^4.919 + 3*t^4.951 + 2*t^5.099 + 4*t^5.279 + 2*t^5.459 + 5*t^5.64 + 2*t^5.82 - 2*t^6. + t^6.328 - t^6.36 + 2*t^6.509 - 2*t^6.541 + 2*t^6.689 + 4*t^6.869 + 5*t^7.049 + 4*t^7.23 + t^7.378 + 6*t^7.41 + 2*t^7.558 + 6*t^7.59 + 5*t^7.738 + t^7.77 + 6*t^7.919 + 2*t^7.951 + 5*t^8.099 - t^8.131 + 8*t^8.279 - 2*t^8.311 + t^8.459 - 4*t^8.64 + t^8.788 + 2*t^8.968 - t^4.41/y - t^6.869/y - (2*t^7.049)/y + (2*t^7.77)/y + t^7.951/y + (2*t^8.099)/y + (2*t^8.279)/y + (4*t^8.459)/y + (5*t^8.64)/y + (4*t^8.82)/y - t^4.41*y - t^6.869*y - 2*t^7.049*y + 2*t^7.77*y + t^7.951*y + 2*t^8.099*y + 2*t^8.279*y + 4*t^8.459*y + 5*t^8.64*y + 4*t^8.82*y | t^2.459/(g1^6*g2^6) + t^2.64/(g1*g2^7) + t^2.64/(g1^7*g2) + t^2.82/(g1^2*g2^2) + (g1^3*t^3.)/g2^3 + (g2^3*t^3.)/g1^3 + g1^2*g2^2*t^3.18 + t^3.869/(g1^7*g2^7) + t^4.23/(g1^3*g2^3) + (g1^2*t^4.41)/g2^4 + (g2^2*t^4.41)/g1^4 + g1*g2*t^4.59 + g1^6*t^4.77 + g2^6*t^4.77 + t^4.919/(g1^12*g2^12) + (g1^11*t^4.951)/g2 + g1^5*g2^5*t^4.951 + (g2^11*t^4.951)/g1 + t^5.099/(g1^7*g2^13) + t^5.099/(g1^13*g2^7) + t^5.279/(g1^2*g2^14) + (2*t^5.279)/(g1^8*g2^8) + t^5.279/(g1^14*g2^2) + t^5.459/(g1^3*g2^9) + t^5.459/(g1^9*g2^3) + (g1^2*t^5.64)/g2^10 + (3*t^5.64)/(g1^4*g2^4) + (g2^2*t^5.64)/g1^10 + (g1*t^5.82)/g2^5 + (g2*t^5.82)/g1^5 - 2*t^6. + t^6.328/(g1^13*g2^13) - g1^4*g2^4*t^6.36 + t^6.509/(g1^8*g2^14) + t^6.509/(g1^14*g2^8) - g1^9*g2^3*t^6.541 - g1^3*g2^9*t^6.541 + (2*t^6.689)/(g1^9*g2^9) + (2*t^6.869)/(g1^4*g2^10) + (2*t^6.869)/(g1^10*g2^4) + (g1*t^7.049)/g2^11 + (3*t^7.049)/(g1^5*g2^5) + (g2*t^7.049)/g1^11 + (2*t^7.23)/g1^6 + (2*t^7.23)/g2^6 + t^7.378/(g1^18*g2^18) + (2*g1^5*t^7.41)/g2^7 + (2*t^7.41)/(g1*g2) + (2*g2^5*t^7.41)/g1^7 + t^7.558/(g1^13*g2^19) + t^7.558/(g1^19*g2^13) + (g1^10*t^7.59)/g2^8 + (2*g1^4*t^7.59)/g2^2 + (2*g2^4*t^7.59)/g1^2 + (g2^10*t^7.59)/g1^8 + t^7.738/(g1^8*g2^20) + (3*t^7.738)/(g1^14*g2^14) + t^7.738/(g1^20*g2^8) + (g1^9*t^7.77)/g2^3 - g1^3*g2^3*t^7.77 + (g2^9*t^7.77)/g1^3 + t^7.919/(g1^3*g2^21) + (2*t^7.919)/(g1^9*g2^15) + (2*t^7.919)/(g1^15*g2^9) + t^7.919/(g1^21*g2^3) + (g1^14*t^7.951)/g2^4 + (g2^14*t^7.951)/g1^4 + t^8.099/(g1^4*g2^16) + (3*t^8.099)/(g1^10*g2^10) + t^8.099/(g1^16*g2^4) - g1^7*g2^7*t^8.131 + (g1*t^8.279)/g2^17 + (3*t^8.279)/(g1^5*g2^11) + (3*t^8.279)/(g1^11*g2^5) + (g2*t^8.279)/g1^17 - g1^12*g2^6*t^8.311 - g1^6*g2^12*t^8.311 + t^8.459/g1^12 + t^8.459/g2^12 - t^8.459/(g1^6*g2^6) - (2*t^8.64)/(g1*g2^7) - (2*t^8.64)/(g1^7*g2) + t^8.788/(g1^19*g2^19) + (g1^4*t^8.82)/g2^8 - (2*t^8.82)/(g1^2*g2^2) + (g2^4*t^8.82)/g1^8 + t^8.968/(g1^14*g2^20) + t^8.968/(g1^20*g2^14) - t^4.41/(g1*g2*y) - t^6.869/(g1^7*g2^7*y) - t^7.049/(g1^2*g2^8*y) - t^7.049/(g1^8*g2^2*y) + (g1^6*t^7.77)/y + (g2^6*t^7.77)/y + (g1^5*g2^5*t^7.951)/y + t^8.099/(g1^7*g2^13*y) + t^8.099/(g1^13*g2^7*y) + (2*t^8.279)/(g1^8*g2^8*y) + (2*t^8.459)/(g1^3*g2^9*y) + (2*t^8.459)/(g1^9*g2^3*y) + (g1^2*t^8.64)/(g2^10*y) + (3*t^8.64)/(g1^4*g2^4*y) + (g2^2*t^8.64)/(g1^10*y) + (2*g1*t^8.82)/(g2^5*y) + (2*g2*t^8.82)/(g1^5*y) - (t^4.41*y)/(g1*g2) - (t^6.869*y)/(g1^7*g2^7) - (t^7.049*y)/(g1^2*g2^8) - (t^7.049*y)/(g1^8*g2^2) + g1^6*t^7.77*y + g2^6*t^7.77*y + g1^5*g2^5*t^7.951*y + (t^8.099*y)/(g1^7*g2^13) + (t^8.099*y)/(g1^13*g2^7) + (2*t^8.279*y)/(g1^8*g2^8) + (2*t^8.459*y)/(g1^3*g2^9) + (2*t^8.459*y)/(g1^9*g2^3) + (g1^2*t^8.64*y)/g2^10 + (3*t^8.64*y)/(g1^4*g2^4) + (g2^2*t^8.64*y)/g1^10 + (2*g1*t^8.82*y)/g2^5 + (2*g2*t^8.82*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1465 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ | 0.724 | 0.8987 | 0.8056 | [M:[1.0656, 0.8031, 0.8687, 1.0, 1.0, 0.8687, 0.9344], q:[0.5328, 0.4015], qb:[0.5985, 0.5985], phi:[0.4672]] | t^2.409 + 2*t^2.606 + 2*t^2.803 + 2*t^3. + t^3.811 + t^4.205 + 2*t^4.402 + t^4.598 + 2*t^4.795 + t^4.818 + 3*t^4.992 + 2*t^5.015 + 5*t^5.212 + 4*t^5.409 + 6*t^5.606 + 2*t^5.803 - 3*t^6. - t^4.402/y - t^4.402*y | detail | |
| 1469 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ | 0.7196 | 0.8908 | 0.8078 | [M:[1.0602, 0.8195, 0.8503, 1.0293, 0.9707, 0.909, 0.9707], q:[0.5301, 0.4097], qb:[0.6196, 0.5609], phi:[0.4699]] | t^2.458 + t^2.551 + t^2.727 + t^2.819 + 2*t^2.912 + t^3.181 + t^3.868 + t^4.229 + t^4.322 + t^4.498 + t^4.59 + t^4.683 + t^4.775 + t^4.859 + t^4.917 + t^4.951 + t^5.009 + t^5.102 + t^5.127 + t^5.185 + 2*t^5.278 + 2*t^5.37 + t^5.454 + 2*t^5.463 + 3*t^5.639 + 2*t^5.732 + 2*t^5.824 - 3*t^6. - t^4.41/y - t^4.41*y | detail | |
| 1466 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7387 | 0.9262 | 0.7975 | [M:[1.0564, 0.8307, 0.8871, 1.0, 1.0, 0.8871, 0.6975], q:[0.5282, 0.4153], qb:[0.5847, 0.5847], phi:[0.4718]] | t^2.093 + t^2.492 + 2*t^2.661 + t^2.831 + 2*t^3. + t^3.169 + t^4.185 + t^4.246 + 2*t^4.415 + 2*t^4.585 + 4*t^4.754 + 4*t^4.923 + t^4.984 + 2*t^5.093 + 2*t^5.153 + t^5.262 + 4*t^5.323 + 2*t^5.492 + 5*t^5.661 + 2*t^5.831 - 2*t^6. - t^4.415/y - t^4.415*y | detail | |
| 1467 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.7129 | 0.8776 | 0.8123 | [M:[1.0543, 0.837, 0.8913, 1.0, 1.0, 0.8913, 1.0543], q:[0.5272, 0.4185], qb:[0.5815, 0.5815], phi:[0.4728]] | t^2.511 + 2*t^2.674 + 2*t^3. + 2*t^3.163 + t^3.93 + t^4.256 + 2*t^4.419 + t^4.581 + 2*t^4.744 + 3*t^4.907 + t^5.022 + 2*t^5.185 + 3*t^5.348 + 5*t^5.674 + 2*t^5.837 - 3*t^6. - t^4.419/y - t^4.419*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 |
|---|---|---|---|---|---|---|---|---|---|
| 599 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.7095 | 0.8721 | 0.8136 | [M:[1.0487, 0.8538, 0.8746, 1.0279, 0.9721], q:[0.5244, 0.4269], qb:[0.601, 0.5452], phi:[0.4756]] | t^2.561 + t^2.624 + t^2.854 + t^2.916 + t^3.084 + t^3.146 + t^3.209 + t^3.988 + t^4.281 + t^4.343 + t^4.511 + t^4.573 + t^4.636 + t^4.698 + t^4.803 + t^4.866 + t^5.033 + t^5.123 + t^5.185 + t^5.248 + t^5.415 + t^5.478 + t^5.54 + 2*t^5.708 + 2*t^5.77 + t^5.832 - 2*t^6. - t^4.427/y - t^4.427*y | detail |