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 |
|---|---|---|---|---|---|---|---|---|---|
| 269 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6955 | 0.8466 | 0.8215 | [M:[1.0, 0.9217, 1.0, 0.7479], q:[0.7913, 0.5392], qb:[0.4608, 0.5392], phi:[0.4174]] | [M:[[7, 1], [14, 0], [-7, -1], [-6, 0]], q:[[-1, 0], [-14, -1]], qb:[[7, 0], [0, 1]], phi:[[2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}^{2}$ | ${}M_{1}^{2}$, ${ }M_{3}^{2}$ | -2 | t^2.244 + t^2.504 + t^2.765 + 2*t^3. + 2*t^3.991 + t^4.017 + 2*t^4.252 + 4*t^4.487 + t^4.748 + 2*t^5.009 + 2*t^5.244 + t^5.269 + 2*t^5.504 + t^5.53 - 2*t^6. + 2*t^6.496 + t^6.521 + 4*t^6.731 + 2*t^6.756 + t^6.782 + 6*t^6.991 + 2*t^7.017 + 4*t^7.252 + 4*t^7.487 + t^7.513 + 2*t^7.774 + 2*t^8.009 + 2*t^8.034 - 2*t^8.244 + 2*t^8.269 + t^8.295 + 4*t^8.479 + 2*t^8.739 - 3*t^8.765 + 9*t^8.974 - t^4.252/y - t^6.496/y - t^6.756/y - t^7.017/y + t^7.487/y + (2*t^7.748)/y + (2*t^8.009)/y + (2*t^8.244)/y + t^8.269/y + (2*t^8.504)/y - t^8.739/y + (2*t^8.765)/y - t^4.252*y - t^6.496*y - t^6.756*y - t^7.017*y + t^7.487*y + 2*t^7.748*y + 2*t^8.009*y + 2*t^8.244*y + t^8.269*y + 2*t^8.504*y - t^8.739*y + 2*t^8.765*y | t^2.244/g1^6 + g1^4*t^2.504 + g1^14*t^2.765 + t^3./(g1^7*g2) + g1^7*g2*t^3. + t^3.991/(g1^15*g2) + (g2*t^3.991)/g1 + g1^16*t^4.017 + t^4.252/(g1^5*g2) + g1^9*g2*t^4.252 + (2*t^4.487)/g1^12 + t^4.487/(g1^26*g2^2) + g1^2*g2^2*t^4.487 + t^4.748/g1^2 + 2*g1^8*t^5.009 + t^5.244/(g1^13*g2) + g1*g2*t^5.244 + g1^18*t^5.269 + t^5.504/(g1^3*g2) + g1^11*g2*t^5.504 + g1^28*t^5.53 - 2*t^6. + t^6.496/(g1^11*g2) + g1^3*g2*t^6.496 + g1^20*t^6.521 + (2*t^6.731)/g1^18 + t^6.731/(g1^32*g2^2) + (g2^2*t^6.731)/g1^4 + t^6.756/(g1*g2) + g1^13*g2*t^6.756 + g1^30*t^6.782 + (2*t^6.991)/g1^8 + (2*t^6.991)/(g1^22*g2^2) + 2*g1^6*g2^2*t^6.991 + (g1^9*t^7.017)/g2 + g1^23*g2*t^7.017 + 2*g1^2*t^7.252 + t^7.252/(g1^12*g2^2) + g1^16*g2^2*t^7.252 + t^7.487/(g1^33*g2^3) + t^7.487/(g1^19*g2) + (g2*t^7.487)/g1^5 + g1^9*g2^3*t^7.487 + g1^12*t^7.513 + 2*g1^22*t^7.774 + (g1*t^8.009)/g2 + g1^15*g2*t^8.009 + 2*g1^32*t^8.034 - (2*t^8.244)/g1^6 + (g1^11*t^8.269)/g2 + g1^25*g2*t^8.269 + g1^42*t^8.295 + t^8.479/(g1^41*g2^3) + t^8.479/(g1^27*g2) + (g2*t^8.479)/g1^13 + g1*g2^3*t^8.479 - 2*g1^4*t^8.504 + t^8.504/(g1^10*g2^2) + g1^18*g2^2*t^8.504 + t^8.739/(g1^31*g2^3) + g1^11*g2^3*t^8.739 - 3*g1^14*t^8.765 + (3*t^8.974)/g1^24 + t^8.974/(g1^52*g2^4) + (2*t^8.974)/(g1^38*g2^2) + (2*g2^2*t^8.974)/g1^10 + g1^4*g2^4*t^8.974 - (g1^2*t^4.252)/y - t^6.496/(g1^4*y) - (g1^6*t^6.756)/y - (g1^16*t^7.017)/y + t^7.487/(g1^12*y) + (2*t^7.748)/(g1^2*y) + (2*g1^8*t^8.009)/y + t^8.244/(g1^13*g2*y) + (g1*g2*t^8.244)/y + (g1^18*t^8.269)/y + t^8.504/(g1^3*g2*y) + (g1^11*g2*t^8.504)/y - t^8.739/(g1^10*y) + (g1^7*t^8.765)/(g2*y) + (g1^21*g2*t^8.765)/y - g1^2*t^4.252*y - (t^6.496*y)/g1^4 - g1^6*t^6.756*y - g1^16*t^7.017*y + (t^7.487*y)/g1^12 + (2*t^7.748*y)/g1^2 + 2*g1^8*t^8.009*y + (t^8.244*y)/(g1^13*g2) + g1*g2*t^8.244*y + g1^18*t^8.269*y + (t^8.504*y)/(g1^3*g2) + g1^11*g2*t^8.504*y - (t^8.739*y)/g1^10 + (g1^7*t^8.765*y)/g2 + g1^21*g2*t^8.765*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 |
|---|---|---|---|---|---|---|---|---|
| 441 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ | 0.6321 | 0.7818 | 0.8086 | [M:[1.183, 0.7604, 0.817, 0.817], q:[0.8028, 0.4368], qb:[0.3802, 0.8028], phi:[0.3943]] | t^2.281 + t^2.366 + 2*t^2.451 + t^3.464 + t^3.549 + t^3.634 + t^3.719 + t^3.804 + t^4.562 + t^4.647 + 3*t^4.732 + 3*t^4.817 + 3*t^4.902 + t^5.746 + t^5.83 + 2*t^5.915 + t^6. - t^4.183/y - t^4.183*y | detail | |
| 436 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ | 0.691 | 0.8427 | 0.8199 | [M:[1.0, 1.0, 1.0, 0.7143], q:[0.7857, 0.5], qb:[0.5, 0.5], phi:[0.4286]] | t^2.143 + t^2.571 + 3*t^3. + 2*t^3.857 + 7*t^4.286 + t^4.714 + 4*t^5.143 + 3*t^5.571 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 237/343, c: 4625/5488, M1: 1, M2: 1, M3: 1, M4: 5/7, q1: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 3/7} |
| 438 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ | 0.7163 | 0.8881 | 0.8066 | [M:[0.9996, 0.9212, 1.0004, 0.7481, 0.6689], q:[0.7913, 0.5398], qb:[0.4606, 0.539], phi:[0.4173]] | t^2.007 + t^2.244 + t^2.504 + t^2.764 + t^2.999 + t^3.001 + t^3.991 + t^4.013 + t^4.016 + 2*t^4.251 + t^4.253 + t^4.486 + 2*t^4.488 + t^4.491 + t^4.51 + t^4.748 + t^4.77 + t^5.005 + 3*t^5.008 + t^5.243 + t^5.245 + t^5.267 + t^5.503 + t^5.505 + t^5.527 + t^5.998 - 2*t^6. - t^4.252/y - t^4.252*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 |
|---|---|---|---|---|---|---|---|---|---|
| 171 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.6765 | 0.812 | 0.8331 | [M:[1.0, 0.9097, 1.0], q:[0.7922, 0.5452], qb:[0.4548, 0.5452], phi:[0.4157]] | t^2.494 + t^2.729 + 2*t^3. + t^3.741 + t^3.976 + 2*t^4.012 + 2*t^4.247 + 3*t^4.518 + t^4.988 + t^5.223 + t^5.458 + 2*t^5.494 - 2*t^6. - t^4.247/y - t^4.247*y | detail |