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 |
|---|---|---|---|---|---|---|---|---|---|
| 400 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6814 | 0.8225 | 0.8284 | [M:[1.0, 1.1613, 0.9353, 1.0, 0.742], q:[0.7903, 0.5323], qb:[0.4677, 0.5323], phi:[0.4193]] | [M:[[7, 1], [-4, 0], [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 |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$ | ${}M_{1}^{2}$, ${ }M_{4}^{2}$ | -2 | t^2.226 + t^2.806 + 2*t^3. + t^3.484 + 2*t^3.968 + t^4.064 + 2*t^4.258 + 4*t^4.452 + t^5.032 + 2*t^5.226 + t^5.612 + t^5.71 - 2*t^6. + t^6.29 + 2*t^6.484 + 4*t^6.678 + t^6.87 + 3*t^6.968 + 2*t^7.064 + 3*t^7.258 + 6*t^7.452 + t^7.838 + 4*t^7.936 + t^8.128 - 2*t^8.226 + 2*t^8.322 + t^8.418 + 4*t^8.42 + 3*t^8.516 + 4*t^8.71 - 3*t^8.806 + 9*t^8.904 - t^4.258/y - t^6.484/y - t^7.064/y + t^7.452/y + (2*t^8.032)/y + (2*t^8.226)/y + (2*t^8.806)/y - t^4.258*y - t^6.484*y - t^7.064*y + t^7.452*y + 2*t^8.032*y + 2*t^8.226*y + 2*t^8.806*y | t^2.226/g1^6 + g1^14*t^2.806 + t^3./(g1^7*g2) + g1^7*g2*t^3. + t^3.484/g1^4 + t^3.968/(g1^15*g2) + (g2*t^3.968)/g1 + g1^16*t^4.064 + t^4.258/(g1^5*g2) + g1^9*g2*t^4.258 + (2*t^4.452)/g1^12 + t^4.452/(g1^26*g2^2) + g1^2*g2^2*t^4.452 + g1^8*t^5.032 + t^5.226/(g1^13*g2) + g1*g2*t^5.226 + g1^28*t^5.612 + t^5.71/g1^10 - 2*t^6. + g1^10*t^6.29 + t^6.484/(g1^11*g2) + g1^3*g2*t^6.484 + (2*t^6.678)/g1^18 + t^6.678/(g1^32*g2^2) + (g2^2*t^6.678)/g1^4 + g1^30*t^6.87 + t^6.968/g1^8 + t^6.968/(g1^22*g2^2) + g1^6*g2^2*t^6.968 + (g1^9*t^7.064)/g2 + g1^23*g2*t^7.064 + g1^2*t^7.258 + t^7.258/(g1^12*g2^2) + g1^16*g2^2*t^7.258 + t^7.452/(g1^33*g2^3) + (2*t^7.452)/(g1^19*g2) + (2*g2*t^7.452)/g1^5 + g1^9*g2^3*t^7.452 + g1^22*t^7.838 + (2*t^7.936)/g1^16 + t^7.936/(g1^30*g2^2) + (g2^2*t^7.936)/g1^2 + g1^32*t^8.128 - (2*t^8.226)/g1^6 + (g1^11*t^8.322)/g2 + g1^25*g2*t^8.322 + g1^42*t^8.418 + t^8.42/(g1^41*g2^3) + t^8.42/(g1^27*g2) + (g2*t^8.42)/g1^13 + g1*g2^3*t^8.42 + g1^4*t^8.516 + t^8.516/(g1^10*g2^2) + g1^18*g2^2*t^8.516 + t^8.71/(g1^31*g2^3) + t^8.71/(g1^17*g2) + (g2*t^8.71)/g1^3 + g1^11*g2^3*t^8.71 - 3*g1^14*t^8.806 + (3*t^8.904)/g1^24 + t^8.904/(g1^52*g2^4) + (2*t^8.904)/(g1^38*g2^2) + (2*g2^2*t^8.904)/g1^10 + g1^4*g2^4*t^8.904 - (g1^2*t^4.258)/y - t^6.484/(g1^4*y) - (g1^16*t^7.064)/y + t^7.452/(g1^12*y) + (2*g1^8*t^8.032)/y + t^8.226/(g1^13*g2*y) + (g1*g2*t^8.226)/y + (g1^7*t^8.806)/(g2*y) + (g1^21*g2*t^8.806)/y - g1^2*t^4.258*y - (t^6.484*y)/g1^4 - g1^16*t^7.064*y + (t^7.452*y)/g1^12 + 2*g1^8*t^8.032*y + (t^8.226*y)/(g1^13*g2) + g1*g2*t^8.226*y + (g1^7*t^8.806*y)/g2 + g1^21*g2*t^8.806*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 |
|---|---|---|---|---|---|---|---|---|
| 647 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ | 0.615 | 0.7516 | 0.8183 | [M:[1.1856, 1.2096, 0.7664, 0.8144, 0.8144], q:[0.8024, 0.4312], qb:[0.3832, 0.8024], phi:[0.3952]] | t^2.299 + 2*t^2.443 + t^3.485 + t^3.557 + 2*t^3.629 + t^3.701 + t^3.773 + t^4.599 + 2*t^4.742 + t^4.814 + 3*t^4.886 + t^5.784 + 2*t^5.928 - t^4.186/y - t^4.186*y | detail | |
| 644 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ | 0.6675 | 0.805 | 0.8292 | [M:[1.0, 1.2, 0.8, 1.0, 0.8], q:[0.8, 0.6], qb:[0.4, 0.6], phi:[0.4]] | 2*t^2.4 + 2*t^3. + 2*t^3.6 + 4*t^4.2 + 6*t^4.8 + 2*t^5.4 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 267/400, c: 161/200, M1: 1, M2: 6/5, M3: 4/5, M4: 1, M5: 4/5, q1: 4/5, q2: 3/5, qb1: 2/5, qb2: 3/5, phi1: 2/5} |
| 646 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ | 0.6784 | 0.8213 | 0.826 | [M:[1.0, 1.1426, 1.0008, 1.0, 0.714, 0.9992], q:[0.7857, 0.4996], qb:[0.5004, 0.4996], phi:[0.4287]] | t^2.142 + t^2.998 + 2*t^3. + t^3.428 + 2*t^3.856 + 4*t^4.284 + 2*t^4.286 + t^4.288 + t^5.14 + 2*t^5.142 + t^5.57 + t^5.995 + 2*t^5.998 - 2*t^6. - t^4.286/y - t^4.286*y | detail | |
| 648 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ | 0.6784 | 0.8212 | 0.826 | [M:[1.0, 1.1429, 1.0, 1.0, 0.7143], q:[0.7857, 0.5], qb:[0.5, 0.5], phi:[0.4286]] | t^2.143 + 3*t^3. + t^3.429 + 2*t^3.857 + 7*t^4.286 + 3*t^5.143 + t^5.571 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 3723/5488, c: 4507/5488, M1: 1, M2: 8/7, M3: 1, M4: 1, M5: 5/7, q1: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 3/7} |
| 645 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ | 0.7022 | 0.8636 | 0.8131 | [M:[0.9986, 1.1618, 0.9336, 1.0014, 0.7428, 0.6749], q:[0.7905, 0.5347], qb:[0.4668, 0.5318], phi:[0.4191]] | t^2.025 + t^2.228 + t^2.801 + t^2.996 + t^3.004 + t^3.486 + t^3.967 + t^4.049 + t^4.058 + 2*t^4.253 + t^4.262 + t^4.448 + 2*t^4.457 + t^4.465 + t^4.825 + t^5.02 + 2*t^5.029 + t^5.224 + t^5.233 + t^5.51 + t^5.601 + t^5.714 + t^5.991 - 2*t^6. - t^4.257/y - t^4.257*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 |
|---|---|---|---|---|---|---|---|---|---|
| 250 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ | 0.6621 | 0.7871 | 0.8412 | [M:[1.0, 1.1646, 0.9238, 1.0], q:[0.7912, 0.5381], qb:[0.4619, 0.5381], phi:[0.4177]] | t^2.771 + 2*t^3. + t^3.494 + t^3.759 + 2*t^3.988 + t^4.024 + 2*t^4.253 + 3*t^4.482 + t^5.543 - 2*t^6. - t^4.253/y - t^4.253*y | detail |