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 |
|---|---|---|---|---|---|---|---|---|---|
| 56102 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6905 | 0.8716 | 0.7922 | [M:[0.8262, 1.0, 1.1738, 0.7969, 0.7539, 1.1016, 0.6953], q:[0.3984, 0.7754], qb:[0.6016, 0.4277], phi:[0.4492]] | [M:[[3], [0], [-3], [-8], [10], [4], [-12]], q:[[-4], [1]], qb:[[4], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.086 + t^2.262 + t^2.391 + t^2.478 + t^3. + t^3.088 + t^3.305 + t^3.522 + t^3.826 + t^4.131 + t^4.172 + 2*t^4.348 + t^4.435 + t^4.477 + t^4.523 + t^4.565 + t^4.652 + t^4.74 + t^4.781 + t^4.869 + 2*t^4.957 + t^5.086 + t^5.174 + t^5.262 + t^5.349 + t^5.391 + t^5.478 + 2*t^5.566 + t^5.608 + t^5.695 + 2*t^5.783 + t^5.912 - t^6. + t^6.088 + t^6.176 + t^6.217 + t^6.258 + t^6.305 + 2*t^6.392 + 2*t^6.434 + t^6.522 + t^6.563 + 3*t^6.609 + t^6.651 + t^6.697 + t^6.738 + t^6.785 + 2*t^6.826 + t^6.867 + 2*t^6.914 + t^6.955 + t^7.002 + 2*t^7.043 + t^7.131 + 2*t^7.172 + 2*t^7.219 + t^7.26 + 2*t^7.348 + 3*t^7.435 + t^7.477 + 2*t^7.523 + t^7.565 + t^7.611 + 3*t^7.652 + t^7.694 + t^7.74 + t^7.781 + 2*t^7.828 + t^7.869 + 2*t^7.957 + t^7.998 + 3*t^8.045 + t^8.174 + t^8.262 + t^8.303 + t^8.344 + t^8.349 - t^8.391 + t^8.437 + 2*t^8.52 + t^8.566 + t^8.608 + t^8.649 + 3*t^8.654 + 2*t^8.695 + t^8.737 + 2*t^8.783 + t^8.824 + 4*t^8.871 + t^8.912 + t^8.953 + t^8.959 - t^4.348/y - t^6.434/y - t^6.609/y - t^6.738/y + t^7.348/y + t^7.477/y + t^7.565/y + t^7.652/y + t^7.74/y + t^7.869/y + t^7.957/y + (2*t^8.086)/y + t^8.174/y + (2*t^8.262)/y + t^8.349/y + (2*t^8.391)/y + (2*t^8.478)/y - t^8.52/y + (2*t^8.566)/y + t^8.608/y + (2*t^8.783)/y - t^8.824/y - t^8.871/y + (2*t^8.912)/y - t^4.348*y - t^6.434*y - t^6.609*y - t^6.738*y + t^7.348*y + t^7.477*y + t^7.565*y + t^7.652*y + t^7.74*y + t^7.869*y + t^7.957*y + 2*t^8.086*y + t^8.174*y + 2*t^8.262*y + t^8.349*y + 2*t^8.391*y + 2*t^8.478*y - t^8.52*y + 2*t^8.566*y + t^8.608*y + 2*t^8.783*y - t^8.824*y - t^8.871*y + 2*t^8.912*y | t^2.086/g1^12 + g1^10*t^2.262 + t^2.391/g1^8 + g1^3*t^2.478 + t^3. + g1^11*t^3.088 + g1^4*t^3.305 + t^3.522/g1^3 + g1*t^3.826 + g1^5*t^4.131 + t^4.172/g1^24 + (2*t^4.348)/g1^2 + g1^9*t^4.435 + t^4.477/g1^20 + g1^20*t^4.523 + t^4.565/g1^9 + g1^2*t^4.652 + g1^13*t^4.74 + t^4.781/g1^16 + t^4.869/g1^5 + 2*g1^6*t^4.957 + t^5.086/g1^12 + t^5.174/g1 + g1^10*t^5.262 + g1^21*t^5.349 + t^5.391/g1^8 + g1^3*t^5.478 + 2*g1^14*t^5.566 + t^5.608/g1^15 + t^5.695/g1^4 + 2*g1^7*t^5.783 + t^5.912/g1^11 - t^6. + g1^11*t^6.088 + g1^22*t^6.176 + t^6.217/g1^7 + t^6.258/g1^36 + g1^4*t^6.305 + 2*g1^15*t^6.392 + (2*t^6.434)/g1^14 + t^6.522/g1^3 + t^6.563/g1^32 + 3*g1^8*t^6.609 + t^6.651/g1^21 + g1^19*t^6.697 + t^6.738/g1^10 + g1^30*t^6.785 + 2*g1*t^6.826 + t^6.867/g1^28 + 2*g1^12*t^6.914 + t^6.955/g1^17 + g1^23*t^7.002 + (2*t^7.043)/g1^6 + g1^5*t^7.131 + (2*t^7.172)/g1^24 + 2*g1^16*t^7.219 + t^7.26/g1^13 + (2*t^7.348)/g1^2 + 3*g1^9*t^7.435 + t^7.477/g1^20 + 2*g1^20*t^7.523 + t^7.565/g1^9 + g1^31*t^7.611 + 3*g1^2*t^7.652 + t^7.694/g1^27 + g1^13*t^7.74 + t^7.781/g1^16 + 2*g1^24*t^7.828 + t^7.869/g1^5 + 2*g1^6*t^7.957 + t^7.998/g1^23 + 3*g1^17*t^8.045 + t^8.174/g1 + g1^10*t^8.262 + t^8.303/g1^19 + t^8.344/g1^48 + g1^21*t^8.349 - t^8.391/g1^8 + g1^32*t^8.437 + (2*t^8.52)/g1^26 + g1^14*t^8.566 + t^8.608/g1^15 + t^8.649/g1^44 + 3*g1^25*t^8.654 + (2*t^8.695)/g1^4 + t^8.737/g1^33 + 2*g1^7*t^8.783 + t^8.824/g1^22 + 4*g1^18*t^8.871 + t^8.912/g1^11 + t^8.953/g1^40 + g1^29*t^8.959 - t^4.348/(g1^2*y) - t^6.434/(g1^14*y) - (g1^8*t^6.609)/y - t^6.738/(g1^10*y) + t^7.348/(g1^2*y) + t^7.477/(g1^20*y) + t^7.565/(g1^9*y) + (g1^2*t^7.652)/y + (g1^13*t^7.74)/y + t^7.869/(g1^5*y) + (g1^6*t^7.957)/y + (2*t^8.086)/(g1^12*y) + t^8.174/(g1*y) + (2*g1^10*t^8.262)/y + (g1^21*t^8.349)/y + (2*t^8.391)/(g1^8*y) + (2*g1^3*t^8.478)/y - t^8.52/(g1^26*y) + (2*g1^14*t^8.566)/y + t^8.608/(g1^15*y) + (2*g1^7*t^8.783)/y - t^8.824/(g1^22*y) - (g1^18*t^8.871)/y + (2*t^8.912)/(g1^11*y) - (t^4.348*y)/g1^2 - (t^6.434*y)/g1^14 - g1^8*t^6.609*y - (t^6.738*y)/g1^10 + (t^7.348*y)/g1^2 + (t^7.477*y)/g1^20 + (t^7.565*y)/g1^9 + g1^2*t^7.652*y + g1^13*t^7.74*y + (t^7.869*y)/g1^5 + g1^6*t^7.957*y + (2*t^8.086*y)/g1^12 + (t^8.174*y)/g1 + 2*g1^10*t^8.262*y + g1^21*t^8.349*y + (2*t^8.391*y)/g1^8 + 2*g1^3*t^8.478*y - (t^8.52*y)/g1^26 + 2*g1^14*t^8.566*y + (t^8.608*y)/g1^15 + 2*g1^7*t^8.783*y - (t^8.824*y)/g1^22 - g1^18*t^8.871*y + (2*t^8.912*y)/g1^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 58256 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{4}$ | 0.6894 | 0.8712 | 0.7913 | [M:[0.8182, 1.0, 1.1818, 0.8182, 0.7273, 1.0909, 0.7273], q:[0.4091, 0.7727], qb:[0.5909, 0.4091], phi:[0.4545]] | 2*t^2.182 + 2*t^2.455 + 2*t^3. + t^3.273 + t^3.545 + t^3.818 + t^4.091 + 5*t^4.364 + 4*t^4.636 + 4*t^4.909 + 4*t^5.182 + 4*t^5.455 + 4*t^5.727 + 2*t^6. - t^4.364/y - t^4.364*y | detail | {a: 7341/10648, c: 9277/10648, M1: 9/11, M2: 1, M3: 13/11, M4: 9/11, M5: 8/11, M6: 12/11, M7: 8/11, q1: 9/22, q2: 17/22, qb1: 13/22, qb2: 9/22, phi1: 5/11} |
| 58258 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{8}$ | 0.7054 | 0.8977 | 0.7858 | [M:[0.8241, 1.0, 1.1759, 0.8024, 0.747, 1.0988, 0.7036, 0.8241], q:[0.4012, 0.7747], qb:[0.5988, 0.4229], phi:[0.4506]] | t^2.111 + t^2.241 + t^2.407 + 2*t^2.472 + t^3. + t^3.065 + t^3.296 + t^3.824 + t^4.12 + t^4.222 + 2*t^4.352 + t^4.417 + t^4.482 + t^4.518 + 2*t^4.583 + t^4.648 + 2*t^4.713 + t^4.814 + 2*t^4.88 + 4*t^4.945 + t^5.111 + t^5.176 + t^5.241 + t^5.306 + t^5.407 + 2*t^5.472 + 3*t^5.537 + t^5.704 + 2*t^5.769 - 2*t^6. - t^4.352/y - t^4.352*y | detail | |
| 58257 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{8}$ | 0.6742 | 0.8439 | 0.7989 | [M:[0.821, 1.0, 1.179, 0.8107, 0.7366, 1.0947, 0.716, 1.1893], q:[0.4053, 0.7737], qb:[0.5947, 0.4156], phi:[0.4527]] | t^2.148 + t^2.21 + t^2.463 + t^3. + t^3.031 + t^3.284 + t^3.537 + t^3.568 + t^3.821 + t^4.105 + t^4.296 + 2*t^4.358 + t^4.389 + t^4.42 + t^4.611 + t^4.673 + 2*t^4.926 + t^5.148 + t^5.179 + t^5.21 + t^5.241 + 2*t^5.494 + t^5.685 + t^5.716 + 2*t^5.747 + t^5.778 - t^6. - t^4.358/y - t^4.358*y | detail | {a: 1165/1728, c: 4375/5184, M1: 133/162, M2: 1, M3: 191/162, M4: 197/243, M5: 179/243, M6: 266/243, M7: 58/81, M8: 289/243, q1: 197/486, q2: 188/243, qb1: 289/486, qb2: 101/243, phi1: 110/243} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 50834 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6699 | 0.8329 | 0.8044 | [M:[0.8237, 1.0, 1.1763, 0.8036, 0.7455, 1.0982], q:[0.4018, 0.7746], qb:[0.5982, 0.4219], phi:[0.4509]] | t^2.237 + t^2.411 + t^2.471 + t^3. + t^3.06 + t^3.295 + t^3.529 + t^3.824 + t^3.884 + t^4.118 + t^4.353 + t^4.413 + t^4.473 + t^4.647 + t^4.708 + t^4.821 + t^4.882 + 2*t^4.942 + t^5.237 + t^5.297 + t^5.471 + 2*t^5.531 + t^5.705 + 2*t^5.766 - t^6. - t^4.353/y - t^4.353*y | detail |