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 |
|---|---|---|---|---|---|---|---|---|---|
| 990 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ | 0.7033 | 0.8629 | 0.815 | [M:[0.9677, 0.9602, 1.0, 0.9279, 1.0721, 0.9279], q:[0.5522, 0.4801], qb:[0.4478, 0.592], phi:[0.482]] | [M:[[12, 4], [-8, -8], [0, 0], [4, -4], [-4, 4], [4, -4]], q:[[-8, 0], [-4, -4]], qb:[[8, 0], [0, 8]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$ | ${}$ | -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*g1^4*t^2.784)/g2^4 + t^2.881/(g1^8*g2^8) + (g1^2*t^2.892)/g2^2 + g1^12*g2^4*t^2.903 + t^3. + (g2^8*t^3.433)/g1^8 + (g1^17*t^4.133)/g2 + (g1^5*t^4.23)/g2^5 + t^4.326/(g1^7*g2^9) + (g1*t^4.446)/g2 + t^4.543/(g1^11*g2^5) + g1^9*g2^7*t^4.565 + (g2^3*t^4.662)/g1^3 + t^4.759/(g1^15*g2) + (g2^7*t^4.878)/g1^7 + g1*g2^15*t^4.998 + (2*g1^8*t^5.567)/g2^8 + t^5.664/(g1^4*g2^12) + (2*g1^6*t^5.676)/g2^6 + g1^16*t^5.687 + t^5.761/(g1^16*g2^16) + t^5.772/(g1^6*g2^10) + (3*g1^4*t^5.784)/g2^4 + g1^14*g2^2*t^5.795 + g1^24*g2^8*t^5.806 + (g1^2*t^5.892)/g2^2 - 3*t^6. - t^6.097/(g1^12*g2^4) - g1^8*g2^8*t^6.119 + (g2^6*t^6.324)/g1^6 + (g2^16*t^6.865)/g1^16 + (2*g1^21*t^6.917)/g2^5 + (2*g1^9*t^7.013)/g2^9 + (g1^19*t^7.025)/g2^3 + g1^29*g2^3*t^7.036 + (2*t^7.11)/(g1^3*g2^13) + (g1^7*t^7.122)/g2^7 + (g1^17*t^7.133)/g2 + t^7.207/(g1^15*g2^17) + t^7.218/(g1^5*g2^11) + (2*g1^5*t^7.23)/g2^5 - g1^15*g2*t^7.241 + (2*t^7.326)/(g1^7*g2^9) + g1^13*g2^3*t^7.349 + t^7.423/(g1^19*g2^13) + (g1*t^7.446)/g2 + g1^11*g2^5*t^7.457 + g1^21*g2^11*t^7.469 + (2*t^7.543)/(g1^11*g2^5) + g1^9*g2^7*t^7.565 + t^7.64/(g1^23*g2^9) + (g2^3*t^7.662)/g1^3 - g1^7*g2^9*t^7.674 + t^7.759/(g1^15*g2) + g1^5*g2^11*t^7.782 - (g2*t^7.867)/g1^17 + (g2^7*t^7.878)/g1^7 + g1^3*g2^13*t^7.89 + g1^13*g2^19*t^7.901 - (g2^9*t^7.987)/g1^9 + g1*g2^15*t^7.998 - (g2^17*t^8.106)/g1 + (g2^7*t^8.192)/g1^23 + (g1^34*t^8.266)/g2^2 + (g2^15*t^8.311)/g1^15 + (2*g1^12*t^8.351)/g2^12 + (g1^22*t^8.362)/g2^6 + (g2^23*t^8.43)/g1^7 + t^8.448/g2^16 + (3*g1^10*t^8.459)/g2^10 + t^8.545/(g1^12*g2^20) + (2*t^8.556)/(g1^2*g2^14) + (3*g1^8*t^8.567)/g2^8 + (2*g1^18*t^8.579)/g2^2 + g1^28*g2^4*t^8.59 + t^8.642/(g1^24*g2^24) + (2*t^8.653)/(g1^14*g2^18) + t^8.664/(g1^4*g2^12) + (4*g1^6*t^8.676)/g2^6 + g1^16*t^8.687 + 2*g1^26*g2^6*t^8.698 + g1^36*g2^12*t^8.709 + t^8.772/(g1^6*g2^10) - (5*g1^4*t^8.784)/g2^4 + g1^14*g2^2*t^8.795 + t^8.869/(g1^18*g2^14) - (5*t^8.881)/(g1^8*g2^8) - (g1^2*t^8.892)/g2^2 - 4*g1^12*g2^4*t^8.903 - t^8.977/(g1^20*g2^12) + t^8.989/(g1^10*g2^6) - (g1*t^4.446)/(g2*y) - (g1^5*t^7.23)/(g2^5*y) - t^7.326/(g1^7*g2^9*y) - (g1^3*t^7.338)/(g2^3*y) - (g1^13*g2^3*t^7.349)/y + t^7.543/(g1^11*g2^5*y) + (g2*t^7.554)/(g1*y) + (g1^9*g2^7*t^7.565)/y + (g2^3*t^7.662)/(g1^3*y) + (g1^8*t^8.567)/(g2^8*y) + (2*t^8.664)/(g1^4*g2^12*y) + (2*g1^6*t^8.676)/(g2^6*y) + (2*g1^16*t^8.687)/y + t^8.772/(g1^6*g2^10*y) + (3*g1^4*t^8.784)/(g2^4*y) + (g1^14*g2^2*t^8.795)/y + t^8.881/(g1^8*g2^8*y) + (g1^2*t^8.892)/(g2^2*y) + (g1^12*g2^4*t^8.903)/y - (g1*t^4.446*y)/g2 - (g1^5*t^7.23*y)/g2^5 - (t^7.326*y)/(g1^7*g2^9) - (g1^3*t^7.338*y)/g2^3 - g1^13*g2^3*t^7.349*y + (t^7.543*y)/(g1^11*g2^5) + (g2*t^7.554*y)/g1 + g1^9*g2^7*t^7.565*y + (g2^3*t^7.662*y)/g1^3 + (g1^8*t^8.567*y)/g2^8 + (2*t^8.664*y)/(g1^4*g2^12) + (2*g1^6*t^8.676*y)/g2^6 + 2*g1^16*t^8.687*y + (t^8.772*y)/(g1^6*g2^10) + (3*g1^4*t^8.784*y)/g2^4 + g1^14*g2^2*t^8.795*y + (t^8.881*y)/(g1^8*g2^8) + (g1^2*t^8.892*y)/g2^2 + g1^12*g2^4*t^8.903*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 |
|---|---|---|---|---|---|---|---|---|
| 1565 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{4}$ | 0.6978 | 0.8558 | 0.8154 | [M:[0.9244, 1.0378, 1.0, 0.9622, 1.0378, 0.9622], q:[0.5567, 0.5189], qb:[0.4433, 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 | |
| 2100 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6106 | 0.7803 | 0.7826 | [M:[0.9107, 0.8036, 1.0, 0.7143, 1.2857, 0.7143], q:[0.6875, 0.4018], qb:[0.3125, 0.8839], phi:[0.4286]] | 2*t^2.143 + t^2.411 + t^2.571 + t^2.732 + t^3. + t^3.161 + t^3.429 + t^3.696 + 3*t^4.286 + 2*t^4.554 + 3*t^4.714 + t^4.821 + 2*t^4.875 + t^4.982 + 4*t^5.143 + 3*t^5.304 + t^5.411 + t^5.464 + 3*t^5.571 + t^5.732 + 2*t^5.839 + t^5.893 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 53619/87808, c: 68515/87808, M1: 51/56, M2: 45/56, M3: 1, M4: 5/7, M5: 9/7, M6: 5/7, q1: 11/16, q2: 45/112, qb1: 5/16, qb2: 99/112, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 610 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ | 0.6976 | 0.853 | 0.8178 | [M:[0.9761, 0.9721, 1.0, 0.9482, 1.0518], q:[0.5379, 0.4861], qb:[0.4621, 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 |