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 |
---|---|---|---|---|---|---|---|---|---|
55916 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{5}X_{1}$ | 0.6106 | 0.7639 | 0.7994 | [X:[1.4041], M:[1.25, 0.8562, 0.75, 0.9521, 0.5959, 1.0], q:[0.476, 0.274], qb:[0.6678, 0.774], phi:[0.4521]] | [X:[[4]], M:[[0], [6], [0], [2], [-4], [0]], q:[[1], [-1]], qb:[[-7], [-1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{6}$ | ${}$ | -1 | t^2.25 + t^2.569 + t^2.712 + t^2.825 + t^2.856 + t^3. + t^3.606 + t^3.75 + t^4.181 + t^4.212 + t^4.325 + t^4.5 + t^4.788 + t^4.962 + t^5.075 + t^5.106 + t^5.137 + t^5.25 + t^5.281 + t^5.363 + t^5.425 + t^5.538 + 2*t^5.569 + t^5.651 + t^5.681 + 2*t^5.712 + t^5.825 + t^5.856 - t^6. - t^6.288 + t^6.319 + t^6.431 + 2*t^6.462 + t^6.606 + t^6.75 + t^6.925 + t^7.007 + 2*t^7.038 + t^7.069 + t^7.151 + t^7.181 + 2*t^7.212 + t^7.325 - t^7.469 + t^7.5 + t^7.613 + t^7.706 + t^7.788 + 2*t^7.819 + t^7.849 + t^7.901 + t^7.931 + 2*t^7.962 + 2*t^7.993 + 2*t^8.075 + t^8.106 + 2*t^8.137 + t^8.188 + t^8.219 - t^8.25 + 2*t^8.281 + 2*t^8.363 + t^8.394 + 2*t^8.425 + t^8.476 + t^8.507 + t^8.538 + t^8.569 + t^8.651 + t^8.681 - 2*t^8.825 - 3*t^8.856 - t^4.356/y - t^6.925/y - t^7.069/y - t^7.212/y + t^7.5/y + t^7.644/y + t^7.788/y + t^7.819/y + t^7.962/y + t^8.075/y + t^8.106/y + t^8.25/y + t^8.281/y + t^8.394/y + t^8.425/y + t^8.538/y + (2*t^8.569)/y + t^8.681/y + t^8.712/y + t^8.825/y + (2*t^8.856)/y - t^4.356*y - t^6.925*y - t^7.069*y - t^7.212*y + t^7.5*y + t^7.644*y + t^7.788*y + t^7.819*y + t^7.962*y + t^8.075*y + t^8.106*y + t^8.25*y + t^8.281*y + t^8.394*y + t^8.425*y + t^8.538*y + 2*t^8.569*y + t^8.681*y + t^8.712*y + t^8.825*y + 2*t^8.856*y | t^2.25 + g1^6*t^2.569 + g1^4*t^2.712 + t^2.825/g1^8 + g1^2*t^2.856 + t^3. + g1^2*t^3.606 + t^3.75 + t^4.181/g1^6 + g1^4*t^4.212 + t^4.325/g1^8 + t^4.5 + t^4.788/g1^4 + g1^4*t^4.962 + t^5.075/g1^8 + g1^2*t^5.106 + g1^12*t^5.137 + t^5.25 + g1^10*t^5.281 + t^5.363/g1^12 + g1^8*t^5.425 + t^5.538/g1^4 + 2*g1^6*t^5.569 + t^5.651/g1^16 + t^5.681/g1^6 + 2*g1^4*t^5.712 + t^5.825/g1^8 + g1^2*t^5.856 - t^6. - t^6.288/g1^4 + g1^6*t^6.319 + t^6.431/g1^6 + 2*g1^4*t^6.462 + g1^2*t^6.606 + t^6.75 + g1^8*t^6.925 + t^7.007/g1^14 + (2*t^7.038)/g1^4 + g1^6*t^7.069 + t^7.151/g1^16 + t^7.181/g1^6 + 2*g1^4*t^7.212 + t^7.325/g1^8 - t^7.469/g1^10 + t^7.5 + t^7.613/g1^12 + g1^18*t^7.706 + t^7.788/g1^4 + 2*g1^6*t^7.819 + g1^16*t^7.849 + t^7.901/g1^16 + t^7.931/g1^6 + 2*g1^4*t^7.962 + 2*g1^14*t^7.993 + (2*t^8.075)/g1^8 + g1^2*t^8.106 + 2*g1^12*t^8.137 + t^8.188/g1^20 + t^8.219/g1^10 - t^8.25 + 2*g1^10*t^8.281 + (2*t^8.363)/g1^12 + t^8.394/g1^2 + 2*g1^8*t^8.425 + t^8.476/g1^24 + t^8.507/g1^14 + t^8.538/g1^4 + g1^6*t^8.569 + t^8.651/g1^16 + t^8.681/g1^6 - (2*t^8.825)/g1^8 - 3*g1^2*t^8.856 - (g1^2*t^4.356)/y - (g1^8*t^6.925)/y - (g1^6*t^7.069)/y - (g1^4*t^7.212)/y + t^7.5/y + t^7.644/(g1^2*y) + t^7.788/(g1^4*y) + (g1^6*t^7.819)/y + (g1^4*t^7.962)/y + t^8.075/(g1^8*y) + (g1^2*t^8.106)/y + t^8.25/y + (g1^10*t^8.281)/y + t^8.394/(g1^2*y) + (g1^8*t^8.425)/y + t^8.538/(g1^4*y) + (2*g1^6*t^8.569)/y + t^8.681/(g1^6*y) + (g1^4*t^8.712)/y + t^8.825/(g1^8*y) + (2*g1^2*t^8.856)/y - g1^2*t^4.356*y - g1^8*t^6.925*y - g1^6*t^7.069*y - g1^4*t^7.212*y + t^7.5*y + (t^7.644*y)/g1^2 + (t^7.788*y)/g1^4 + g1^6*t^7.819*y + g1^4*t^7.962*y + (t^8.075*y)/g1^8 + g1^2*t^8.106*y + t^8.25*y + g1^10*t^8.281*y + (t^8.394*y)/g1^2 + g1^8*t^8.425*y + (t^8.538*y)/g1^4 + 2*g1^6*t^8.569*y + (t^8.681*y)/g1^6 + g1^4*t^8.712*y + (t^8.825*y)/g1^8 + 2*g1^2*t^8.856*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 |
---|---|---|---|---|---|---|---|---|
57554 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{1}M_{7}$ | 0.6297 | 0.7986 | 0.7885 | [X:[1.4041], M:[1.25, 0.8562, 0.75, 0.9521, 0.5959, 1.0, 0.75], q:[0.476, 0.274], qb:[0.6678, 0.774], phi:[0.4521]] | 2*t^2.25 + t^2.569 + t^2.712 + t^2.825 + t^2.856 + t^3. + t^3.606 + t^4.181 + t^4.212 + t^4.325 + 3*t^4.5 + t^4.788 + t^4.819 + 2*t^4.962 + 2*t^5.075 + 2*t^5.106 + t^5.137 + 2*t^5.25 + t^5.281 + t^5.363 + t^5.425 + t^5.538 + 2*t^5.569 + t^5.651 + t^5.681 + 2*t^5.712 + t^5.825 + 2*t^5.856 - 2*t^6. - t^4.356/y - t^4.356*y | detail | |
57552 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{4}M_{7}$ | 0.6064 | 0.7572 | 0.8008 | [X:[1.4132], M:[1.25, 0.8698, 0.75, 0.9566, 0.5868, 1.0, 1.0434], q:[0.4783, 0.2717], qb:[0.6519, 0.7717], phi:[0.4566]] | t^2.25 + t^2.61 + t^2.74 + t^2.771 + t^3. + t^3.13 + t^3.62 + t^3.75 + t^4.14 + t^4.24 + t^4.271 + t^4.5 + t^4.76 + t^4.99 + t^5.021 + t^5.219 + t^5.25 + t^5.281 + t^5.349 + t^5.38 + t^5.51 + t^5.541 + t^5.61 + 2*t^5.74 + t^5.771 + t^5.87 + t^5.901 - t^6. - t^4.37/y - t^4.37*y | detail | |
57553 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6274 | 0.7936 | 0.7905 | [X:[1.4099], M:[1.25, 0.8649, 0.75, 0.955, 0.5901, 1.0, 0.795], q:[0.4775, 0.2725], qb:[0.6577, 0.7725], phi:[0.455]] | t^2.25 + t^2.385 + t^2.595 + t^2.73 + t^2.791 + t^2.865 + t^3. + t^3.75 + t^4.155 + t^4.23 + t^4.291 + t^4.5 + t^4.635 + 2*t^4.77 + 2*t^4.98 + t^5.041 + 2*t^5.115 + t^5.176 + t^5.189 + 2*t^5.25 + t^5.311 + t^5.324 + t^5.385 + t^5.459 + t^5.52 + t^5.581 + 2*t^5.595 + t^5.655 + 2*t^5.73 + t^5.791 - t^6. - t^4.365/y - t^4.365*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 |
---|---|---|---|---|---|---|---|---|---|
48167 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7001 | 0.8886 | 0.7878 | [M:[1.1679, 1.0164, 0.8321, 0.7865, 0.7628, 0.6715], q:[0.3932, 0.4389], qb:[0.5903, 0.7746], phi:[0.4507]] | t^2.015 + t^2.288 + t^2.359 + t^2.496 + t^2.704 + t^3.049 + t^3.088 + t^3.504 + t^3.849 + t^4.029 + t^4.095 + 2*t^4.303 + t^4.374 + t^4.44 + t^4.511 + t^4.577 + t^4.648 + 2*t^4.719 + t^4.785 + t^4.856 + t^4.894 + 2*t^4.993 + 2*t^5.064 + t^5.102 + t^5.201 + t^5.338 + t^5.376 + t^5.409 + t^5.447 + t^5.518 + t^5.584 + t^5.754 + 2*t^5.792 + t^5.863 - 2*t^6. - t^4.352/y - t^4.352*y | detail |