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 |
|---|---|---|---|---|---|---|---|---|---|
| 46423 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{4}$ | 0.6993 | 0.8588 | 0.8143 | [M:[1.0205, 0.8973, 0.9384, 1.0616, 0.9795], q:[0.5291, 0.4504], qb:[0.5736, 0.488], phi:[0.4897]] | [M:[[2, 2], [-10, -10], [-6, -6], [6, 6], [-2, -2]], q:[[4, 10], [-6, -12]], qb:[[6, 0], [0, 6]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | t^2.692 + t^2.815 + 2*t^2.938 + t^3.051 + t^3.072 + t^3.185 + t^4.171 + t^4.284 + t^4.397 + t^4.408 + t^4.52 + t^4.541 + t^4.644 + t^4.654 + t^4.777 + t^4.911 + t^5.384 + t^5.507 + 2*t^5.63 + 2*t^5.754 + 3*t^5.877 + 2*t^5.99 - 3*t^6. + 2*t^6.01 + t^6.103 - t^6.113 + t^6.123 - t^6.134 + t^6.144 + t^6.863 + t^6.976 + t^6.987 + t^7.089 + t^7.1 + 2*t^7.11 + t^7.212 + 3*t^7.223 - t^7.233 + t^7.243 + 3*t^7.336 + t^7.346 + t^7.356 + t^7.449 + 2*t^7.459 - t^7.469 + 2*t^7.48 + t^7.572 + t^7.582 + 2*t^7.592 - t^7.603 + t^7.613 + t^7.695 - t^7.705 + t^7.716 + t^7.726 + t^7.829 - t^7.839 + 2*t^7.849 + t^7.962 - t^7.972 + t^7.983 + t^8.076 + t^8.096 + t^8.199 + 2*t^8.322 + t^8.343 + 2*t^8.446 + t^8.456 + 4*t^8.569 + t^8.682 + t^8.692 - t^8.702 + t^8.713 + t^8.795 + t^8.826 + t^8.918 + 2*t^8.928 - 7*t^8.938 + 3*t^8.949 - t^4.469/y - t^7.161/y - t^7.408/y + t^7.531/y + t^7.777/y + t^8.507/y + (2*t^8.63)/y + t^8.743/y + (2*t^8.754)/y + t^8.764/y + t^8.866/y + (2*t^8.877)/y + t^8.887/y + (2*t^8.99)/y - t^4.469*y - t^7.161*y - t^7.408*y + t^7.531*y + t^7.777*y + t^8.507*y + 2*t^8.63*y + t^8.743*y + 2*t^8.754*y + t^8.764*y + t^8.866*y + 2*t^8.877*y + t^8.887*y + 2*t^8.99*y | t^2.692/(g1^10*g2^10) + t^2.815/(g1^6*g2^6) + (2*t^2.938)/(g1^2*g2^2) + g1^4*g2^16*t^3.051 + t^3.072/g2^12 + g1^6*g2^6*t^3.185 + t^4.171/(g1^13*g2^25) + t^4.284/(g1^7*g2^7) + (g2^11*t^4.397)/g1 + t^4.408/(g1^3*g2^3) + g1^3*g2^15*t^4.52 + t^4.541/(g1*g2^13) + g1^7*g2^19*t^4.644 + g1^5*g2^5*t^4.654 + g1^9*g2^9*t^4.777 + (g1^11*t^4.911)/g2 + t^5.384/(g1^20*g2^20) + t^5.507/(g1^16*g2^16) + (2*t^5.63)/(g1^12*g2^12) + (2*t^5.754)/(g1^8*g2^8) + (3*t^5.877)/(g1^4*g2^4) + 2*g1^2*g2^14*t^5.99 - 3*t^6. + (2*t^6.01)/(g1^2*g2^14) + g1^8*g2^32*t^6.103 - g1^6*g2^18*t^6.113 + g1^4*g2^4*t^6.123 - (g1^2*t^6.134)/g2^10 + t^6.144/g2^24 + t^6.863/(g1^23*g2^35) + t^6.976/(g1^17*g2^17) + t^6.987/(g1^19*g2^31) + (g2*t^7.089)/g1^11 + t^7.1/(g1^13*g2^13) + (2*t^7.11)/(g1^15*g2^27) + (g2^5*t^7.212)/g1^7 + (3*t^7.223)/(g1^9*g2^9) - t^7.233/(g1^11*g2^23) + t^7.243/(g1^13*g2^37) + (3*g2^9*t^7.336)/g1^3 + t^7.346/(g1^5*g2^5) + t^7.356/(g1^7*g2^19) + g1^3*g2^27*t^7.449 + 2*g1*g2^13*t^7.459 - t^7.469/(g1*g2) + (2*t^7.48)/(g1^3*g2^15) + g1^7*g2^31*t^7.572 + g1^5*g2^17*t^7.582 + 2*g1^3*g2^3*t^7.592 - (g1*t^7.603)/g2^11 + t^7.613/(g1*g2^25) + g1^11*g2^35*t^7.695 - g1^9*g2^21*t^7.705 + g1^7*g2^7*t^7.716 + (g1^5*t^7.726)/g2^7 + g1^13*g2^25*t^7.829 - g1^11*g2^11*t^7.839 + (2*g1^9*t^7.849)/g2^3 + g1^15*g2^15*t^7.962 - g1^13*g2*t^7.972 + (g1^11*t^7.983)/g2^13 + t^8.076/(g1^30*g2^30) + g1^17*g2^5*t^8.096 + t^8.199/(g1^26*g2^26) + (2*t^8.322)/(g1^22*g2^22) + t^8.343/(g1^26*g2^50) + (2*t^8.446)/(g1^18*g2^18) + t^8.456/(g1^20*g2^32) + (4*t^8.569)/(g1^14*g2^14) + (g2^4*t^8.682)/g1^8 + t^8.692/(g1^10*g2^10) - t^8.702/(g1^12*g2^24) + t^8.713/(g1^14*g2^38) + (g2^22*t^8.795)/g1^2 + t^8.826/(g1^8*g2^20) + g1^2*g2^26*t^8.918 + 2*g2^12*t^8.928 - (7*t^8.938)/(g1^2*g2^2) + (3*t^8.949)/(g1^4*g2^16) - t^4.469/(g1*g2*y) - t^7.161/(g1^11*g2^11*y) - t^7.408/(g1^3*g2^3*y) + (g1*g2*t^7.531)/y + (g1^9*g2^9*t^7.777)/y + t^8.507/(g1^16*g2^16*y) + (2*t^8.63)/(g1^12*g2^12*y) + (g2^6*t^8.743)/(g1^6*y) + (2*t^8.754)/(g1^8*g2^8*y) + t^8.764/(g1^10*g2^22*y) + (g2^10*t^8.866)/(g1^2*y) + (2*t^8.877)/(g1^4*g2^4*y) + t^8.887/(g1^6*g2^18*y) + (2*g1^2*g2^14*t^8.99)/y - (t^4.469*y)/(g1*g2) - (t^7.161*y)/(g1^11*g2^11) - (t^7.408*y)/(g1^3*g2^3) + g1*g2*t^7.531*y + g1^9*g2^9*t^7.777*y + (t^8.507*y)/(g1^16*g2^16) + (2*t^8.63*y)/(g1^12*g2^12) + (g2^6*t^8.743*y)/g1^6 + (2*t^8.754*y)/(g1^8*g2^8) + (t^8.764*y)/(g1^10*g2^22) + (g2^10*t^8.866*y)/g1^2 + (2*t^8.877*y)/(g1^4*g2^4) + (t^8.887*y)/(g1^6*g2^18) + 2*g1^2*g2^14*t^8.99*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 |
|---|---|---|---|---|---|---|---|---|
| 48211 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{6}$ | 0.7059 | 0.8716 | 0.8099 | [M:[1.0274, 0.8628, 0.9177, 1.0823, 0.9726, 0.9177], q:[0.5381, 0.4345], qb:[0.5991, 0.4832], phi:[0.4863]] | t^2.588 + 2*t^2.753 + 2*t^2.918 + t^3.064 + t^3.101 + t^4.066 + t^4.212 + t^4.358 + t^4.377 + t^4.523 + t^4.56 + t^4.687 + t^4.706 + t^4.87 + t^5.054 + t^5.177 + 2*t^5.342 + 4*t^5.506 + 4*t^5.671 + t^5.817 + 2*t^5.835 + t^5.854 + 2*t^5.981 - 4*t^6. - t^4.459/y - t^4.459*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46318 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ | 0.7211 | 0.8891 | 0.811 | [M:[1.0753, 0.9247, 0.774, 0.9247, 0.9247], q:[0.4623, 0.4623], qb:[0.613, 0.613], phi:[0.4623]] | t^2.322 + 4*t^2.774 + 2*t^3.226 + 3*t^4.161 + 4*t^4.613 + t^4.644 + 3*t^5.065 + 4*t^5.096 + 8*t^5.548 - t^4.387/y - t^4.387*y | detail |