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 |
|---|---|---|---|---|---|---|---|---|---|
| 2830 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6521 | 0.8157 | 0.7994 | [X:[1.6123], M:[0.8368, 0.7142, 1.1632, 0.3877, 0.8368, 0.7689], q:[0.4217, 0.7415], qb:[0.4151, 0.8707], phi:[0.3877]] | [X:[[0, 1]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [0, 3], [-2, 9]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | -2 | t^2.142 + t^2.307 + t^2.326 + 2*t^2.51 + t^3.47 + t^3.654 + t^3.674 + t^3.877 + t^4.285 + t^4.449 + t^4.469 + t^4.614 + t^4.633 + 3*t^4.653 + 2*t^4.817 + 3*t^4.837 + 3*t^5.021 + t^5.612 + t^5.777 + t^5.796 + t^5.961 + 3*t^5.98 - 2*t^6. + 2*t^6.164 + 2*t^6.184 + 2*t^6.388 + t^6.427 + t^6.592 + t^6.611 + t^6.756 + t^6.776 + 3*t^6.795 + t^6.92 + 2*t^6.94 + 2*t^6.96 + 3*t^6.979 + 3*t^7.124 + 2*t^7.144 + 3*t^7.163 - t^7.183 + t^7.308 + 3*t^7.327 + 3*t^7.347 - 2*t^7.367 + 4*t^7.531 + t^7.754 + t^7.755 + t^7.919 + t^7.939 + t^8.083 + t^8.103 + 2*t^8.123 - 3*t^8.142 + t^8.267 + 3*t^8.287 - 3*t^8.326 - t^8.346 + 2*t^8.471 + 5*t^8.491 - 6*t^8.51 - t^8.53 + t^8.57 + 3*t^8.675 + 2*t^8.694 + t^8.734 + t^8.754 + 4*t^8.898 + t^8.918 + 3*t^8.938 - t^4.163/y - t^6.306/y - t^6.47/y - t^6.49/y - t^6.674/y + t^7.449/y + t^7.469/y + t^7.633/y + (3*t^7.653)/y + (2*t^7.817)/y + (3*t^7.837)/y + t^7.856/y + (2*t^8.021)/y - t^8.448/y - t^8.632/y + t^8.796/y - t^8.816/y + t^8.961/y + (3*t^8.98)/y - t^4.163*y - t^6.306*y - t^6.47*y - t^6.49*y - t^6.674*y + t^7.449*y + t^7.469*y + t^7.633*y + 3*t^7.653*y + 2*t^7.817*y + 3*t^7.837*y + t^7.856*y + 2*t^8.021*y - t^8.448*y - t^8.632*y + t^8.796*y - t^8.816*y + t^8.961*y + 3*t^8.98*y | t^2.142/g2^7 + (g2^9*t^2.307)/g1^2 + t^2.326/g2^2 + 2*g2^3*t^2.51 + (g2^8*t^3.47)/g1^2 + (g2^13*t^3.654)/g1^2 + g2^2*t^3.674 + (g1^2*t^3.877)/g2^4 + t^4.285/g2^14 + (g2^2*t^4.449)/g1^2 + t^4.469/g2^9 + (g2^18*t^4.614)/g1^4 + (g2^7*t^4.633)/g1^2 + (3*t^4.653)/g2^4 + (2*g2^12*t^4.817)/g1^2 + 3*g2*t^4.837 + 3*g2^6*t^5.021 + (g2*t^5.612)/g1^2 + (g2^17*t^5.777)/g1^4 + (g2^6*t^5.796)/g1^2 + (g2^22*t^5.961)/g1^4 + (3*g2^11*t^5.98)/g1^2 - 2*t^6. + (2*g2^16*t^6.164)/g1^2 + 2*g2^5*t^6.184 + (2*g1^2*t^6.388)/g2 + t^6.427/g2^21 + t^6.592/(g1^2*g2^5) + t^6.611/g2^16 + (g2^11*t^6.756)/g1^4 + t^6.776/g1^2 + (3*t^6.795)/g2^11 + (g2^27*t^6.92)/g1^6 + (2*g2^16*t^6.94)/g1^4 + (2*g2^5*t^6.96)/g1^2 + (3*t^6.979)/g2^6 + (3*g2^21*t^7.124)/g1^4 + (2*g2^10*t^7.144)/g1^2 + (3*t^7.163)/g2 - (g1^2*t^7.183)/g2^12 + (g2^26*t^7.308)/g1^4 + (3*g2^15*t^7.327)/g1^2 + 3*g2^4*t^7.347 - (2*g1^2*t^7.367)/g2^7 + 4*g2^9*t^7.531 + (g1^4*t^7.754)/g2^8 + t^7.755/(g1^2*g2^6) + (g2^10*t^7.919)/g1^4 + t^7.939/(g1^2*g2) + (g2^26*t^8.083)/g1^6 + (g2^15*t^8.103)/g1^4 + (2*g2^4*t^8.123)/g1^2 - (3*t^8.142)/g2^7 + (g2^31*t^8.267)/g1^6 + (3*g2^20*t^8.287)/g1^4 - (3*t^8.326)/g2^2 - (g1^2*t^8.346)/g2^13 + (2*g2^25*t^8.471)/g1^4 + (5*g2^14*t^8.491)/g1^2 - 6*g2^3*t^8.51 - (g1^2*t^8.53)/g2^8 + t^8.57/g2^28 + (3*g2^19*t^8.675)/g1^2 + 2*g2^8*t^8.694 + t^8.734/(g1^2*g2^12) + t^8.754/g2^23 + 3*g1^2*g2^2*t^8.898 + (g2^4*t^8.898)/g1^4 + t^8.918/(g1^2*g2^7) + (3*t^8.938)/g2^18 - t^4.163/(g2*y) - t^6.306/(g2^8*y) - (g2^8*t^6.47)/(g1^2*y) - t^6.49/(g2^3*y) - (g2^2*t^6.674)/y + (g2^2*t^7.449)/(g1^2*y) + t^7.469/(g2^9*y) + (g2^7*t^7.633)/(g1^2*y) + (3*t^7.653)/(g2^4*y) + (2*g2^12*t^7.817)/(g1^2*y) + (3*g2*t^7.837)/y + (g1^2*t^7.856)/(g2^10*y) + (2*g2^6*t^8.021)/y - t^8.448/(g2^15*y) - t^8.632/(g2^10*y) + (g2^6*t^8.796)/(g1^2*y) - t^8.816/(g2^5*y) + (g2^22*t^8.961)/(g1^4*y) + (3*g2^11*t^8.98)/(g1^2*y) - (t^4.163*y)/g2 - (t^6.306*y)/g2^8 - (g2^8*t^6.47*y)/g1^2 - (t^6.49*y)/g2^3 - g2^2*t^6.674*y + (g2^2*t^7.449*y)/g1^2 + (t^7.469*y)/g2^9 + (g2^7*t^7.633*y)/g1^2 + (3*t^7.653*y)/g2^4 + (2*g2^12*t^7.817*y)/g1^2 + 3*g2*t^7.837*y + (g1^2*t^7.856*y)/g2^10 + 2*g2^6*t^8.021*y - (t^8.448*y)/g2^15 - (t^8.632*y)/g2^10 + (g2^6*t^8.796*y)/g1^2 - (t^8.816*y)/g2^5 + (g2^22*t^8.961*y)/g1^4 + (3*g2^11*t^8.98*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3374 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6509 | 0.8123 | 0.8013 | [X:[1.6121], M:[0.8363, 0.7152, 1.1637, 0.3879, 0.8363, 0.8061], q:[0.403, 0.7606], qb:[0.4333, 0.8515], phi:[0.3879]] | t^2.146 + t^2.327 + t^2.418 + 2*t^2.509 + t^3.582 + t^3.673 + 2*t^3.764 + t^4.291 + t^4.473 + t^4.564 + 3*t^4.655 + t^4.745 + 4*t^4.836 + 2*t^4.927 + 3*t^5.018 + t^5.727 + t^5.909 - t^6. - t^4.164/y - t^4.164*y | detail | |
| 3375 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6726 | 0.8559 | 0.7859 | [X:[1.6134], M:[0.8401, 0.7063, 1.1599, 0.3866, 0.8401, 0.7607, 0.6938], q:[0.4264, 0.7335], qb:[0.4138, 0.8799], phi:[0.3866]] | t^2.081 + t^2.119 + t^2.282 + t^2.32 + 2*t^2.52 + t^3.442 + t^3.643 + t^3.68 + t^4.163 + t^4.2 + t^4.238 + t^4.363 + 2*t^4.401 + t^4.439 + t^4.564 + 3*t^4.602 + 3*t^4.639 + 2*t^4.802 + 3*t^4.84 + 3*t^5.041 + t^5.523 + t^5.561 + 2*t^5.724 + 2*t^5.762 + t^5.925 + 3*t^5.962 - 2*t^6. - t^4.16/y - t^4.16*y | detail | |
| 3376 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.667 | 0.8406 | 0.7935 | [X:[1.6116], M:[0.8348, 0.7187, 1.1652, 0.3884, 0.8348, 0.8058, 0.8058], q:[0.4029, 0.7623], qb:[0.4319, 0.8493], phi:[0.3884]] | t^2.156 + t^2.33 + 2*t^2.417 + 2*t^2.504 + t^3.67 + 2*t^3.757 + t^4.312 + t^4.487 + 2*t^4.574 + 3*t^4.661 + 2*t^4.748 + 6*t^4.835 + 4*t^4.922 + 3*t^5.009 - 2*t^6. - t^4.165/y - t^4.165*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1814 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.6348 | 0.784 | 0.8097 | [X:[1.6126], M:[0.8379, 0.7117, 1.1621, 0.3874, 0.8379], q:[0.4032, 0.759], qb:[0.4347, 0.8536], phi:[0.3874]] | t^2.135 + t^2.324 + 2*t^2.514 + 2*t^3.581 + t^3.676 + 2*t^3.77 + t^4.27 + t^4.459 + 3*t^4.649 + 3*t^4.838 + 3*t^5.027 + 2*t^5.716 + 2*t^5.905 - 2*t^6. - t^4.162/y - t^4.162*y | detail |