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 |
|---|---|---|---|---|---|---|---|---|---|
| 4490 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.731 | 0.9201 | 0.7945 | [M:[0.9227, 1.0258, 1.0773, 0.8712, 0.9227, 0.9742, 0.9227, 0.6932], q:[0.5129, 0.5644], qb:[0.4098, 0.5644], phi:[0.4871]] | [M:[[-6], [2], [6], [-10], [-6], [-2], [-6], [15]], q:[[1], [5]], qb:[[-7], [5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{8}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}$ | -6 | t^2.08 + t^2.614 + 3*t^2.768 + 3*t^2.923 + t^4.159 + t^4.229 + 2*t^4.384 + t^4.539 + 3*t^4.693 + 6*t^4.848 + 3*t^5.002 + t^5.227 + 3*t^5.382 + 7*t^5.536 + 8*t^5.691 + 4*t^5.845 - 6*t^6. - 3*t^6.155 + t^6.239 + t^6.618 + 3*t^6.773 + t^6.843 + 6*t^6.928 + 2*t^6.998 + 3*t^7.082 + 7*t^7.152 + 8*t^7.307 + 6*t^7.461 + 14*t^7.616 + 12*t^7.771 + t^7.841 - 2*t^7.925 + 3*t^7.995 - 8*t^8.08 + 7*t^8.15 - 3*t^8.234 + 12*t^8.304 + t^8.319 + 13*t^8.459 + 6*t^8.614 + t^8.698 - 11*t^8.768 + 3*t^8.853 - 22*t^8.923 - t^4.461/y - t^6.541/y - t^7.075/y - (2*t^7.229)/y - t^7.384/y + t^7.539/y + (3*t^7.693)/y + (4*t^7.848)/y + (3*t^8.002)/y + (4*t^8.382)/y + (6*t^8.536)/y - t^8.621/y + (9*t^8.691)/y + (3*t^8.845)/y - t^4.461*y - t^6.541*y - t^7.075*y - 2*t^7.229*y - t^7.384*y + t^7.539*y + 3*t^7.693*y + 4*t^7.848*y + 3*t^8.002*y + 4*t^8.382*y + 6*t^8.536*y - t^8.621*y + 9*t^8.691*y + 3*t^8.845*y | g1^15*t^2.08 + t^2.614/g1^10 + (3*t^2.768)/g1^6 + (3*t^2.923)/g1^2 + g1^30*t^4.159 + t^4.229/g1^7 + (2*t^4.384)/g1^3 + g1*t^4.539 + 3*g1^5*t^4.693 + 6*g1^9*t^4.848 + 3*g1^13*t^5.002 + t^5.227/g1^20 + (3*t^5.382)/g1^16 + (7*t^5.536)/g1^12 + (8*t^5.691)/g1^8 + (4*t^5.845)/g1^4 - 6*t^6. - 3*g1^4*t^6.155 + g1^45*t^6.239 + g1^16*t^6.618 + 3*g1^20*t^6.773 + t^6.843/g1^17 + 6*g1^24*t^6.928 + (2*t^6.998)/g1^13 + 3*g1^28*t^7.082 + (7*t^7.152)/g1^9 + (8*t^7.307)/g1^5 + (6*t^7.461)/g1 + 14*g1^3*t^7.616 + 12*g1^7*t^7.771 + t^7.841/g1^30 - 2*g1^11*t^7.925 + (3*t^7.995)/g1^26 - 8*g1^15*t^8.08 + (7*t^8.15)/g1^22 - 3*g1^19*t^8.234 + (12*t^8.304)/g1^18 + g1^60*t^8.319 + (13*t^8.459)/g1^14 + (6*t^8.614)/g1^10 + g1^31*t^8.698 - (11*t^8.768)/g1^6 + 3*g1^35*t^8.853 - (22*t^8.923)/g1^2 - t^4.461/(g1*y) - (g1^14*t^6.541)/y - t^7.075/(g1^11*y) - (2*t^7.229)/(g1^7*y) - t^7.384/(g1^3*y) + (g1*t^7.539)/y + (3*g1^5*t^7.693)/y + (4*g1^9*t^7.848)/y + (3*g1^13*t^8.002)/y + (4*t^8.382)/(g1^16*y) + (6*t^8.536)/(g1^12*y) - (g1^29*t^8.621)/y + (9*t^8.691)/(g1^8*y) + (3*t^8.845)/(g1^4*y) - (t^4.461*y)/g1 - g1^14*t^6.541*y - (t^7.075*y)/g1^11 - (2*t^7.229*y)/g1^7 - (t^7.384*y)/g1^3 + g1*t^7.539*y + 3*g1^5*t^7.693*y + 4*g1^9*t^7.848*y + 3*g1^13*t^8.002*y + (4*t^8.382*y)/g1^16 + (6*t^8.536*y)/g1^12 - g1^29*t^8.621*y + (9*t^8.691*y)/g1^8 + (3*t^8.845*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6007 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{4}X_{1}$ | 0.6135 | 0.7818 | 0.7848 | [X:[1.3846], M:[0.7692, 1.0769, 1.2308, 0.6154, 0.7692, 0.9231, 0.7692, 1.0769], q:[0.5385, 0.6923], qb:[0.2308, 0.6923], phi:[0.4615]] | 3*t^2.308 + 3*t^2.769 + t^3.231 + t^3.692 + 3*t^4.154 + 5*t^4.615 + 10*t^5.077 + 10*t^5.538 - 3*t^6. - t^4.385/y - t^4.385*y | detail | {a: 1659/2704, c: 1057/1352, X1: 18/13, M1: 10/13, M2: 14/13, M3: 16/13, M4: 8/13, M5: 10/13, M6: 12/13, M7: 10/13, M8: 14/13, q1: 7/13, q2: 9/13, qb1: 3/13, qb2: 9/13, phi1: 6/13} |
| 5994 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}^{2}$ + ${ }M_{4}X_{1}$ | 0.6468 | 0.8177 | 0.7911 | [X:[1.3333], M:[0.8, 1.0667, 1.2, 0.6667, 0.8, 0.9333, 0.8, 1.0], q:[0.5333, 0.6667], qb:[0.2667, 0.6667], phi:[0.4667]] | 3*t^2.4 + 3*t^2.8 + t^3. + t^3.8 + t^4. + 2*t^4.2 + t^4.6 + 4*t^4.8 + 2*t^5. + 8*t^5.2 + 6*t^5.4 + 4*t^5.6 + 3*t^5.8 - 5*t^6. - t^4.4/y - t^4.4*y | detail | {a: 3881/6000, c: 2453/3000, X1: 4/3, M1: 4/5, M2: 16/15, M3: 6/5, M4: 2/3, M5: 4/5, M6: 14/15, M7: 4/5, M8: 1, q1: 8/15, q2: 2/3, qb1: 4/15, qb2: 2/3, phi1: 7/15} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2446 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7105 | 0.8815 | 0.806 | [M:[0.9165, 1.0278, 1.0835, 0.8608, 0.9165, 0.9722, 0.9165], q:[0.5139, 0.5696], qb:[0.4026, 0.5696], phi:[0.4861]] | t^2.582 + 3*t^2.749 + 3*t^2.916 + t^3.874 + t^4.208 + 2*t^4.375 + t^4.542 + 2*t^4.709 + 3*t^4.876 + t^5.165 + 3*t^5.332 + 7*t^5.499 + 8*t^5.666 + 4*t^5.833 - 6*t^6. - t^4.458/y - t^4.458*y | detail |