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 |
|---|---|---|---|---|---|---|---|---|---|
| 403 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6903 | 0.8344 | 0.8273 | [M:[0.8831, 1.2074, 0.891, 1.0, 0.6942], q:[0.8018, 0.6129], qb:[0.504, 0.496], phi:[0.3963]] | [M:[[-7, 1], [4, 0], [-7, -1], [0, 0], [-1, 1]], q:[[1, 0], [7, 0]], qb:[[0, -1], [0, 1]], phi:[[-2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$ | ${}$ | -2 | t^2.083 + t^2.649 + t^2.673 + t^3. + t^3.622 + t^3.894 + 2*t^4.165 + t^4.189 + t^4.213 + t^4.244 + t^4.516 + t^4.54 + t^4.732 + t^4.756 + t^4.867 + t^5.083 + t^5.299 + t^5.322 + t^5.346 + t^5.705 - 2*t^6. - t^6.024 + 2*t^6.248 + t^6.271 + t^6.295 - t^6.351 + t^6.543 + t^6.598 + t^6.622 + 2*t^6.814 + 2*t^6.838 + t^6.862 + t^6.886 + t^6.894 + t^6.949 + 2*t^7.165 + t^7.189 + t^7.213 + t^7.244 + t^7.381 + t^7.405 + t^7.429 + t^7.516 + 2*t^7.787 + t^7.867 + t^7.948 + t^7.972 + t^7.995 + t^8.019 + t^8.059 - 2*t^8.083 - t^8.106 + t^8.138 + 3*t^8.33 + 2*t^8.354 + 2*t^8.378 + t^8.402 + t^8.41 + t^8.425 - t^8.433 + t^8.489 - 3*t^8.649 - 3*t^8.673 + 2*t^8.681 - t^8.697 + t^8.705 + t^8.752 + t^8.76 + 2*t^8.897 + 2*t^8.921 + t^8.945 + t^8.968 - t^4.189/y - t^6.271/y - t^6.838/y - t^6.862/y + t^7.516/y + t^7.54/y + t^7.732/y + t^7.756/y + t^8.083/y + t^8.106/y + t^8.322/y - t^8.354/y + t^8.649/y + t^8.673/y + t^8.705/y - t^8.921/y - t^8.945/y + t^8.976/y - t^4.189*y - t^6.271*y - t^6.838*y - t^6.862*y + t^7.516*y + t^7.54*y + t^7.732*y + t^7.756*y + t^8.083*y + t^8.106*y + t^8.322*y - t^8.354*y + t^8.649*y + t^8.673*y + t^8.705*y - t^8.921*y - t^8.945*y + t^8.976*y | (g2*t^2.083)/g1 + (g2*t^2.649)/g1^7 + t^2.673/(g1^7*g2) + t^3. + g1^4*t^3.622 + g1*g2*t^3.894 + (2*g2^2*t^4.165)/g1^2 + t^4.189/g1^2 + t^4.213/(g1^2*g2^2) + g1^8*t^4.244 + g1^5*g2*t^4.516 + (g1^5*t^4.54)/g2 + (g2^2*t^4.732)/g1^8 + t^4.756/g1^8 + g1^12*t^4.867 + (g2*t^5.083)/g1 + (g2^2*t^5.299)/g1^14 + t^5.322/g1^14 + t^5.346/(g1^14*g2^2) + g1^3*g2*t^5.705 - 2*t^6. - t^6.024/g2^2 + (2*g2^3*t^6.248)/g1^3 + (g2*t^6.271)/g1^3 + t^6.295/(g1^3*g2) - (g1^7*t^6.351)/g2 + (g2^2*t^6.543)/g1^6 + g1^4*g2^2*t^6.598 + g1^4*t^6.622 + (2*g2^3*t^6.814)/g1^9 + (2*g2*t^6.838)/g1^9 + t^6.862/(g1^9*g2) + t^6.886/(g1^9*g2^3) + g1*g2*t^6.894 + g1^11*g2*t^6.949 + (2*g2^2*t^7.165)/g1^2 + t^7.189/g1^2 + t^7.213/(g1^2*g2^2) + g1^8*t^7.244 + (g2^3*t^7.381)/g1^15 + (g2*t^7.405)/g1^15 + t^7.429/(g1^15*g2) + g1^5*g2*t^7.516 + 2*g1^2*g2^2*t^7.787 + g1^12*t^7.867 + (g2^3*t^7.948)/g1^21 + (g2*t^7.972)/g1^21 + t^7.995/(g1^21*g2) + t^8.019/(g1^21*g2^3) + (g2^3*t^8.059)/g1 - (2*g2*t^8.083)/g1 - t^8.106/(g1*g2) + g1^9*g2*t^8.138 + (3*g2^4*t^8.33)/g1^4 + (2*g2^2*t^8.354)/g1^4 + (2*t^8.378)/g1^4 + t^8.402/(g1^4*g2^2) + g1^6*g2^2*t^8.41 + t^8.425/(g1^4*g2^4) - g1^6*t^8.433 + g1^16*t^8.489 - (3*g2*t^8.649)/g1^7 - (3*t^8.673)/(g1^7*g2) + 2*g1^3*g2^3*t^8.681 - t^8.697/(g1^7*g2^3) + g1^3*g2*t^8.705 + (g1^3*t^8.752)/g2^3 + g1^13*g2*t^8.76 + (2*g2^4*t^8.897)/g1^10 + (2*g2^2*t^8.921)/g1^10 + t^8.945/g1^10 + t^8.968/(g1^10*g2^2) - t^4.189/(g1^2*y) - (g2*t^6.271)/(g1^3*y) - (g2*t^6.838)/(g1^9*y) - t^6.862/(g1^9*g2*y) + (g1^5*g2*t^7.516)/y + (g1^5*t^7.54)/(g2*y) + (g2^2*t^7.732)/(g1^8*y) + t^7.756/(g1^8*y) + (g2*t^8.083)/(g1*y) + t^8.106/(g1*g2*y) + t^8.322/(g1^14*y) - (g2^2*t^8.354)/(g1^4*y) + (g2*t^8.649)/(g1^7*y) + t^8.673/(g1^7*g2*y) + (g1^3*g2*t^8.705)/y - (g2^2*t^8.921)/(g1^10*y) - t^8.945/(g1^10*y) + (g2^2*t^8.976)/y - (t^4.189*y)/g1^2 - (g2*t^6.271*y)/g1^3 - (g2*t^6.838*y)/g1^9 - (t^6.862*y)/(g1^9*g2) + g1^5*g2*t^7.516*y + (g1^5*t^7.54*y)/g2 + (g2^2*t^7.732*y)/g1^8 + (t^7.756*y)/g1^8 + (g2*t^8.083*y)/g1 + (t^8.106*y)/(g1*g2) + (t^8.322*y)/g1^14 - (g2^2*t^8.354*y)/g1^4 + (g2*t^8.649*y)/g1^7 + (t^8.673*y)/(g1^7*g2) + g1^3*g2*t^8.705*y - (g2^2*t^8.921*y)/g1^10 - (t^8.945*y)/g1^10 + g2^2*t^8.976*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 |
|---|---|---|---|---|---|---|---|---|
| 653 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ | 0.6785 | 0.8217 | 0.8257 | [M:[0.9936, 1.1429, 1.0064, 1.0, 0.7078], q:[0.7857, 0.5], qb:[0.5064, 0.4936], phi:[0.4286]] | t^2.124 + t^2.981 + t^3. + t^3.019 + t^3.429 + t^3.838 + t^3.857 + 2*t^4.247 + t^4.266 + 2*t^4.286 + t^4.305 + t^4.324 + t^5.104 + t^5.124 + t^5.143 + t^5.552 + t^5.961 - t^6. - t^4.286/y - t^4.286*y | detail | |
| 651 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ | 0.6389 | 0.7739 | 0.8256 | [M:[1.1595, 1.1206, 0.9183, 1.0, 0.8405], q:[0.7802, 0.4611], qb:[0.3794, 0.6206], phi:[0.4397]] | t^2.521 + t^2.755 + t^3. + t^3.362 + t^3.479 + t^3.595 + t^3.724 + t^3.84 + t^4.086 + t^4.202 + t^4.319 + t^4.564 + 2*t^5.043 + t^5.51 + t^5.883 - t^6. - t^4.319/y - t^4.319*y | detail | |
| 650 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ | 0.6814 | 0.8225 | 0.8284 | [M:[1.0, 1.1613, 0.9353, 1.0, 0.742], q:[0.7903, 0.5323], qb:[0.4677, 0.5323], phi:[0.4193]] | t^2.226 + t^2.806 + 2*t^3. + t^3.484 + 2*t^3.968 + t^4.064 + 2*t^4.258 + 4*t^4.452 + t^5.032 + 2*t^5.226 + t^5.612 + t^5.71 - 2*t^6. - t^4.258/y - t^4.258*y | detail | |
| 654 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ | 0.683 | 0.8286 | 0.8243 | [M:[0.923, 1.1649, 1.0, 1.0, 0.6703], q:[0.7912, 0.5385], qb:[0.5385, 0.4615], phi:[0.4176]] | t^2.011 + t^2.769 + 2*t^3. + t^3.495 + t^3.758 + t^3.989 + 2*t^4.022 + 2*t^4.253 + 3*t^4.484 + t^4.78 + 2*t^5.011 + t^5.505 + t^5.538 + t^5.769 - t^6. - t^4.253/y - t^4.253*y | detail | |
| 655 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7108 | 0.8736 | 0.8137 | [M:[0.8856, 1.2082, 0.8856, 1.0, 0.6979, 0.6979], q:[0.8021, 0.6144], qb:[0.5, 0.5], phi:[0.3959]] | 2*t^2.094 + 2*t^2.657 + t^3. + t^3.625 + 6*t^4.188 + t^4.249 + 2*t^4.531 + 4*t^4.751 + t^4.874 + 2*t^5.094 + 3*t^5.314 + 2*t^5.719 - 4*t^6. - t^4.188/y - t^4.188*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 |
|---|---|---|---|---|---|---|---|---|---|
| 252 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ | 0.6697 | 0.7947 | 0.8427 | [M:[0.8882, 1.2067, 0.8882, 1.0], q:[0.8017, 0.6118], qb:[0.5, 0.5], phi:[0.3966]] | 2*t^2.665 + t^3. + t^3.62 + 2*t^3.905 + 3*t^4.19 + t^4.24 + 2*t^4.525 + t^4.861 + 3*t^5.329 - 4*t^6. - t^4.19/y - t^4.19*y | detail |