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 |
|---|---|---|---|---|---|---|---|---|---|
| 46773 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ | 0.6501 | 0.8094 | 0.8031 | [M:[1.1622, 0.7548, 0.8378, 0.7947, 0.8378], q:[0.3974, 0.4405], qb:[0.8478, 0.7648], phi:[0.3874]] | [M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [3, 3]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{1}^{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | -2 | t^2.265 + t^2.324 + t^2.384 + 2*t^2.513 + t^3.546 + t^3.676 + t^3.805 + t^3.865 + t^4.529 + t^4.589 + 2*t^4.649 + t^4.708 + t^4.768 + 2*t^4.778 + 3*t^4.838 + 2*t^4.898 + 3*t^5.027 + t^5.93 - 2*t^6. + 2*t^6.06 + t^6.07 + t^6.129 + 3*t^6.189 + t^6.249 + 2*t^6.319 + 2*t^6.378 + t^6.794 + t^6.853 + 2*t^6.913 + t^6.973 + t^7.033 + 2*t^7.043 + 2*t^7.093 + 2*t^7.102 + t^7.152 + 2*t^7.162 + 2*t^7.222 + 2*t^7.282 + t^7.292 + 3*t^7.351 + 3*t^7.411 + 4*t^7.54 + t^7.61 + t^7.67 + t^7.73 - t^8.135 - 3*t^8.265 + t^8.315 - 3*t^8.324 + t^8.334 - 3*t^8.384 + t^8.394 + 2*t^8.444 - 4*t^8.513 + 3*t^8.573 + 2*t^8.583 + t^8.633 + 2*t^8.643 + 5*t^8.703 + 2*t^8.762 + 3*t^8.832 + 3*t^8.892 - t^4.162/y - t^6.427/y - t^6.487/y - t^6.546/y - t^6.676/y + t^7.589/y + (2*t^7.649)/y + t^7.708/y + (3*t^7.778)/y + (3*t^7.838)/y + (3*t^7.898)/y + t^8.027/y - t^8.691/y - t^8.751/y - t^8.811/y - t^4.162*y - t^6.427*y - t^6.487*y - t^6.546*y - t^6.676*y + t^7.589*y + 2*t^7.649*y + t^7.708*y + 3*t^7.778*y + 3*t^7.838*y + 3*t^7.898*y + t^8.027*y - t^8.691*y - t^8.751*y - t^8.811*y | g1^2*g2^4*t^2.265 + t^2.324/(g1^2*g2^2) + t^2.384/(g1^6*g2^8) + 2*g1^3*g2^3*t^2.513 + t^3.546/(g1^7*g2^9) + g1^2*g2^2*t^3.676 + g1^11*g2^13*t^3.805 + g1^7*g2^7*t^3.865 + g1^4*g2^8*t^4.529 + g2^2*t^4.589 + (2*t^4.649)/(g1^4*g2^4) + t^4.708/(g1^8*g2^10) + t^4.768/(g1^12*g2^16) + 2*g1^5*g2^7*t^4.778 + 3*g1*g2*t^4.838 + (2*t^4.898)/(g1^3*g2^5) + 3*g1^6*g2^6*t^5.027 + t^5.93/(g1^13*g2^17) - 2*t^6. + (2*t^6.06)/(g1^4*g2^6) + g1^13*g2^17*t^6.07 + g1^9*g2^11*t^6.129 + 3*g1^5*g2^5*t^6.189 + (g1*t^6.249)/g2 + 2*g1^14*g2^16*t^6.319 + 2*g1^10*g2^10*t^6.378 + g1^6*g2^12*t^6.794 + g1^2*g2^6*t^6.853 + (2*t^6.913)/g1^2 + t^6.973/(g1^6*g2^6) + t^7.033/(g1^10*g2^12) + 2*g1^7*g2^11*t^7.043 + (2*t^7.093)/(g1^14*g2^18) + 2*g1^3*g2^5*t^7.102 + t^7.152/(g1^18*g2^24) + (2*t^7.162)/(g1*g2) + (2*t^7.222)/(g1^5*g2^7) + (2*t^7.282)/(g1^9*g2^13) + g1^8*g2^10*t^7.292 + 3*g1^4*g2^4*t^7.351 + (3*t^7.411)/g2^2 + 4*g1^9*g2^9*t^7.54 + g1^22*g2^26*t^7.61 + g1^18*g2^20*t^7.67 + g1^14*g2^14*t^7.73 - t^8.135/(g1^7*g2^7) - 3*g1^2*g2^4*t^8.265 + t^8.315/(g1^19*g2^25) - (3*t^8.324)/(g1^2*g2^2) + g1^15*g2^21*t^8.334 - (3*t^8.384)/(g1^6*g2^8) + g1^11*g2^15*t^8.394 + (2*t^8.444)/(g1^10*g2^14) - 4*g1^3*g2^3*t^8.513 + (3*t^8.573)/(g1*g2^3) + 2*g1^16*g2^20*t^8.583 + t^8.633/(g1^5*g2^9) + 2*g1^12*g2^14*t^8.643 + 5*g1^8*g2^8*t^8.703 + 2*g1^4*g2^2*t^8.762 + 3*g1^17*g2^19*t^8.832 + 3*g1^13*g2^13*t^8.892 - t^4.162/(g1*g2*y) - (g1*g2^3*t^6.427)/y - t^6.487/(g1^3*g2^3*y) - t^6.546/(g1^7*g2^9*y) - (g1^2*g2^2*t^6.676)/y + (g2^2*t^7.589)/y + (2*t^7.649)/(g1^4*g2^4*y) + t^7.708/(g1^8*g2^10*y) + (3*g1^5*g2^7*t^7.778)/y + (3*g1*g2*t^7.838)/y + (3*t^7.898)/(g1^3*g2^5*y) + (g1^6*g2^6*t^8.027)/y - (g1^3*g2^7*t^8.691)/y - (g2*t^8.751)/(g1*y) - t^8.811/(g1^5*g2^5*y) - (t^4.162*y)/(g1*g2) - g1*g2^3*t^6.427*y - (t^6.487*y)/(g1^3*g2^3) - (t^6.546*y)/(g1^7*g2^9) - g1^2*g2^2*t^6.676*y + g2^2*t^7.589*y + (2*t^7.649*y)/(g1^4*g2^4) + (t^7.708*y)/(g1^8*g2^10) + 3*g1^5*g2^7*t^7.778*y + 3*g1*g2*t^7.838*y + (3*t^7.898*y)/(g1^3*g2^5) + g1^6*g2^6*t^8.027*y - g1^3*g2^7*t^8.691*y - (g2*t^8.751*y)/g1 - (t^8.811*y)/(g1^5*g2^5) |
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 |
|---|---|---|---|---|---|---|---|---|
| 48214 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}M_{6}$ | 0.6342 | 0.7831 | 0.8099 | [M:[1.1646, 0.7243, 0.8354, 0.8285, 0.8354, 1.1715], q:[0.4143, 0.4211], qb:[0.8614, 0.7504], phi:[0.3882]] | t^2.173 + t^2.329 + 2*t^2.506 + t^3.514 + t^3.65 + t^3.671 + t^3.691 + t^3.848 + t^4.346 + t^4.502 + t^4.658 + 2*t^4.679 + 3*t^4.835 + 3*t^5.012 + t^5.687 + t^5.844 + t^5.864 - 2*t^6. - t^4.165/y - t^4.165*y | detail | |
| 47037 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6499 | 0.8094 | 0.803 | [M:[1.1637, 0.7456, 0.8363, 0.806, 0.8363], q:[0.403, 0.4332], qb:[0.8514, 0.7607], phi:[0.3879]] | t^2.237 + t^2.327 + t^2.418 + 2*t^2.509 + t^3.582 + t^3.673 + t^3.763 + t^3.854 + t^4.474 + t^4.564 + 2*t^4.655 + 3*t^4.746 + 4*t^4.836 + 2*t^4.927 + 3*t^5.018 - t^4.164/y - t^4.164*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46225 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6366 | 0.7855 | 0.8105 | [M:[1.1465, 0.7368, 0.8535, 0.7919], q:[0.396, 0.4575], qb:[0.8673, 0.7506], phi:[0.3822]] | t^2.21 + t^2.293 + t^2.376 + t^2.56 + t^3.44 + t^3.522 + t^3.707 + t^3.892 + t^3.974 + t^4.421 + t^4.503 + 2*t^4.586 + t^4.669 + t^4.751 + t^4.771 + 2*t^4.853 + t^4.936 + t^5.121 + t^5.65 + t^5.733 + t^5.815 + t^5.898 - t^6. - t^4.147/y - t^4.147*y | detail |