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 |
|---|---|---|---|---|---|---|---|---|---|
| 48232 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{6}$ | 0.7033 | 0.8629 | 0.815 | [M:[1.0721, 0.9677, 0.9279, 0.9602, 1.0, 0.9279], q:[0.4801, 0.4478], qb:[0.5522, 0.592], phi:[0.482]] | [M:[[4, 4], [-12, 4], [-4, -4], [8, -8], [0, 0], [-4, -4]], q:[[4, -4], [-8, 0]], qb:[[8, 0], [0, 8]], phi:[[-1, -1]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -3 | 2*t^2.784 + t^2.881 + t^2.892 + t^2.903 + t^3. + t^3.433 + t^4.133 + t^4.23 + t^4.326 + t^4.446 + t^4.543 + t^4.565 + t^4.662 + t^4.759 + t^4.878 + t^4.998 + 2*t^5.567 + t^5.664 + 2*t^5.676 + t^5.687 + t^5.761 + t^5.772 + 3*t^5.784 + t^5.795 + t^5.806 + t^5.892 - 3*t^6. - t^6.097 - t^6.119 + t^6.324 + t^6.865 + 2*t^6.917 + 2*t^7.013 + t^7.025 + t^7.036 + 2*t^7.11 + t^7.122 + t^7.133 + t^7.207 + t^7.218 + 2*t^7.23 - t^7.241 + 2*t^7.326 + t^7.349 + t^7.423 + t^7.446 + t^7.457 + t^7.469 + 2*t^7.543 + t^7.565 + t^7.64 + t^7.662 - t^7.674 + t^7.759 + t^7.782 - t^7.867 + t^7.878 + t^7.89 + t^7.901 - t^7.987 + t^7.998 - t^8.106 + t^8.192 + t^8.266 + t^8.311 + 2*t^8.351 + t^8.362 + t^8.43 + t^8.448 + 3*t^8.459 + t^8.545 + 2*t^8.556 + 3*t^8.567 + 2*t^8.579 + t^8.59 + t^8.642 + 2*t^8.653 + t^8.664 + 4*t^8.676 + t^8.687 + 2*t^8.698 + t^8.709 + t^8.772 - 5*t^8.784 + t^8.795 + t^8.869 - 5*t^8.881 - t^8.892 - 4*t^8.903 - t^8.977 + t^8.989 - t^4.446/y - t^7.23/y - t^7.326/y - t^7.338/y - t^7.349/y + t^7.543/y + t^7.554/y + t^7.565/y + t^7.662/y + t^8.567/y + (2*t^8.664)/y + (2*t^8.676)/y + (2*t^8.687)/y + t^8.772/y + (3*t^8.784)/y + t^8.795/y + t^8.881/y + t^8.892/y + t^8.903/y - t^4.446*y - t^7.23*y - t^7.326*y - t^7.338*y - t^7.349*y + t^7.543*y + t^7.554*y + t^7.565*y + t^7.662*y + t^8.567*y + 2*t^8.664*y + 2*t^8.676*y + 2*t^8.687*y + t^8.772*y + 3*t^8.784*y + t^8.795*y + t^8.881*y + t^8.892*y + t^8.903*y | (2*t^2.784)/(g1^4*g2^4) + (g1^8*t^2.881)/g2^8 + t^2.892/(g1^2*g2^2) + (g2^4*t^2.903)/g1^12 + t^3. + g1^8*g2^8*t^3.433 + t^4.133/(g1^17*g2) + t^4.23/(g1^5*g2^5) + (g1^7*t^4.326)/g2^9 + t^4.446/(g1*g2) + (g1^11*t^4.543)/g2^5 + (g2^7*t^4.565)/g1^9 + g1^3*g2^3*t^4.662 + (g1^15*t^4.759)/g2 + g1^7*g2^7*t^4.878 + (g2^15*t^4.998)/g1 + (2*t^5.567)/(g1^8*g2^8) + (g1^4*t^5.664)/g2^12 + (2*t^5.676)/(g1^6*g2^6) + t^5.687/g1^16 + (g1^16*t^5.761)/g2^16 + (g1^6*t^5.772)/g2^10 + (3*t^5.784)/(g1^4*g2^4) + (g2^2*t^5.795)/g1^14 + (g2^8*t^5.806)/g1^24 + t^5.892/(g1^2*g2^2) - 3*t^6. - (g1^12*t^6.097)/g2^4 - (g2^8*t^6.119)/g1^8 + g1^6*g2^6*t^6.324 + g1^16*g2^16*t^6.865 + (2*t^6.917)/(g1^21*g2^5) + (2*t^7.013)/(g1^9*g2^9) + t^7.025/(g1^19*g2^3) + (g2^3*t^7.036)/g1^29 + (2*g1^3*t^7.11)/g2^13 + t^7.122/(g1^7*g2^7) + t^7.133/(g1^17*g2) + (g1^15*t^7.207)/g2^17 + (g1^5*t^7.218)/g2^11 + (2*t^7.23)/(g1^5*g2^5) - (g2*t^7.241)/g1^15 + (2*g1^7*t^7.326)/g2^9 + (g2^3*t^7.349)/g1^13 + (g1^19*t^7.423)/g2^13 + t^7.446/(g1*g2) + (g2^5*t^7.457)/g1^11 + (g2^11*t^7.469)/g1^21 + (2*g1^11*t^7.543)/g2^5 + (g2^7*t^7.565)/g1^9 + (g1^23*t^7.64)/g2^9 + g1^3*g2^3*t^7.662 - (g2^9*t^7.674)/g1^7 + (g1^15*t^7.759)/g2 + (g2^11*t^7.782)/g1^5 - g1^17*g2*t^7.867 + g1^7*g2^7*t^7.878 + (g2^13*t^7.89)/g1^3 + (g2^19*t^7.901)/g1^13 - g1^9*g2^9*t^7.987 + (g2^15*t^7.998)/g1 - g1*g2^17*t^8.106 + g1^23*g2^7*t^8.192 + t^8.266/(g1^34*g2^2) + g1^15*g2^15*t^8.311 + (2*t^8.351)/(g1^12*g2^12) + t^8.362/(g1^22*g2^6) + g1^7*g2^23*t^8.43 + t^8.448/g2^16 + (3*t^8.459)/(g1^10*g2^10) + (g1^12*t^8.545)/g2^20 + (2*g1^2*t^8.556)/g2^14 + (3*t^8.567)/(g1^8*g2^8) + (2*t^8.579)/(g1^18*g2^2) + (g2^4*t^8.59)/g1^28 + (g1^24*t^8.642)/g2^24 + (2*g1^14*t^8.653)/g2^18 + (g1^4*t^8.664)/g2^12 + (4*t^8.676)/(g1^6*g2^6) + t^8.687/g1^16 + (2*g2^6*t^8.698)/g1^26 + (g2^12*t^8.709)/g1^36 + (g1^6*t^8.772)/g2^10 - (5*t^8.784)/(g1^4*g2^4) + (g2^2*t^8.795)/g1^14 + (g1^18*t^8.869)/g2^14 - (5*g1^8*t^8.881)/g2^8 - t^8.892/(g1^2*g2^2) - (4*g2^4*t^8.903)/g1^12 - (g1^20*t^8.977)/g2^12 + (g1^10*t^8.989)/g2^6 - t^4.446/(g1*g2*y) - t^7.23/(g1^5*g2^5*y) - (g1^7*t^7.326)/(g2^9*y) - t^7.338/(g1^3*g2^3*y) - (g2^3*t^7.349)/(g1^13*y) + (g1^11*t^7.543)/(g2^5*y) + (g1*g2*t^7.554)/y + (g2^7*t^7.565)/(g1^9*y) + (g1^3*g2^3*t^7.662)/y + t^8.567/(g1^8*g2^8*y) + (2*g1^4*t^8.664)/(g2^12*y) + (2*t^8.676)/(g1^6*g2^6*y) + (2*t^8.687)/(g1^16*y) + (g1^6*t^8.772)/(g2^10*y) + (3*t^8.784)/(g1^4*g2^4*y) + (g2^2*t^8.795)/(g1^14*y) + (g1^8*t^8.881)/(g2^8*y) + t^8.892/(g1^2*g2^2*y) + (g2^4*t^8.903)/(g1^12*y) - (t^4.446*y)/(g1*g2) - (t^7.23*y)/(g1^5*g2^5) - (g1^7*t^7.326*y)/g2^9 - (t^7.338*y)/(g1^3*g2^3) - (g2^3*t^7.349*y)/g1^13 + (g1^11*t^7.543*y)/g2^5 + g1*g2*t^7.554*y + (g2^7*t^7.565*y)/g1^9 + g1^3*g2^3*t^7.662*y + (t^8.567*y)/(g1^8*g2^8) + (2*g1^4*t^8.664*y)/g2^12 + (2*t^8.676*y)/(g1^6*g2^6) + (2*t^8.687*y)/g1^16 + (g1^6*t^8.772*y)/g2^10 + (3*t^8.784*y)/(g1^4*g2^4) + (g2^2*t^8.795*y)/g1^14 + (g1^8*t^8.881*y)/g2^8 + (t^8.892*y)/(g1^2*g2^2) + (g2^4*t^8.903*y)/g1^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55955 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}M_{3}$ | 0.698 | 0.8561 | 0.8153 | [M:[1.0398, 1.0398, 0.9602, 0.9204, 1.0, 0.9602], q:[0.4602, 0.5], qb:[0.5, 0.5796], phi:[0.4901]] | t^2.761 + 2*t^2.881 + t^2.94 + t^3. + t^3.119 + t^3.239 + t^4.231 + 2*t^4.351 + 3*t^4.47 + t^4.59 + 2*t^4.709 + t^4.948 + t^5.523 + t^5.642 + t^5.702 + 2*t^5.761 + 2*t^5.821 + 2*t^5.881 + t^5.94 - 2*t^6. - t^4.47/y - t^4.47*y | detail | |
| 55958 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.7002 | 0.859 | 0.8152 | [M:[1.0536, 1.0268, 0.9464, 0.9196, 1.0, 0.9464], q:[0.4598, 0.4866], qb:[0.5134, 0.5938], phi:[0.4866]] | t^2.759 + 2*t^2.839 + t^2.92 + t^3. + t^3.08 + t^3.321 + t^4.219 + t^4.299 + 2*t^4.379 + t^4.46 + t^4.54 + t^4.621 + t^4.701 + t^4.781 + t^5.022 + t^5.518 + t^5.598 + 3*t^5.679 + 2*t^5.759 + 3*t^5.839 + t^5.92 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
| 52098 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{4}$ | 0.6978 | 0.8558 | 0.8154 | [M:[1.0378, 0.9244, 0.9622, 1.0378, 1.0, 0.9622], q:[0.5189, 0.4433], qb:[0.5567, 0.5189], phi:[0.4906]] | t^2.773 + 2*t^2.887 + t^2.943 + t^3. + t^3.113 + t^3.227 + t^4.131 + 2*t^4.358 + t^4.472 + 3*t^4.585 + 2*t^4.698 + t^4.812 + t^5.546 + t^5.66 + t^5.717 + 2*t^5.773 + 2*t^5.83 + 2*t^5.887 + t^5.943 - 2*t^6. - t^4.472/y - t^4.472*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46761 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ | 0.6976 | 0.853 | 0.8178 | [M:[1.0518, 0.9761, 0.9482, 0.9721, 1.0], q:[0.4861, 0.4621], qb:[0.5379, 0.5657], phi:[0.487]] | t^2.845 + t^2.916 + t^2.922 + t^2.928 + t^3. + t^3.155 + t^3.311 + t^4.234 + t^4.306 + t^4.378 + t^4.461 + t^4.533 + t^4.545 + t^4.617 + t^4.688 + t^4.772 + t^4.856 + t^5.767 + t^5.833 + t^5.839 + 2*t^5.845 + t^5.85 + t^5.856 + t^5.922 - 2*t^6. - t^4.461/y - t^4.461*y | detail |