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 |
|---|---|---|---|---|---|---|---|---|---|
| 871 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6257 | 0.8329 | 0.7513 | [M:[0.9213, 1.2362, 0.7638, 0.7638, 0.6968], q:[0.7303, 0.3484], qb:[0.3484, 0.4154], phi:[0.5394]] | [M:[[4], [-12], [12], [12], [-10]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$ | ${}M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 3 | 2*t^2.091 + 3*t^2.291 + t^2.764 + 2*t^3.236 + t^3.437 + 2*t^3.709 + t^3.909 + t^4.11 + 3*t^4.181 + 6*t^4.382 + 6*t^4.583 + 2*t^4.854 + 3*t^5.055 + 4*t^5.327 + 8*t^5.528 + 3*t^5.728 + 2*t^5.799 + 3*t^6. + 3*t^6.201 + 4*t^6.272 + 3*t^6.402 + 9*t^6.472 + 12*t^6.673 + 11*t^6.874 + 4*t^6.945 + 4*t^7.146 + 7*t^7.347 + 6*t^7.417 + t^7.547 + 9*t^7.618 + 15*t^7.819 + 2*t^7.89 + 7*t^8.02 - t^8.091 + t^8.221 + 2*t^8.291 + 5*t^8.362 + 6*t^8.492 + 10*t^8.563 + 6*t^8.693 + 13*t^8.764 + 20*t^8.965 - t^4.618/y - t^6.709/y - t^6.909/y + t^7.181/y + (6*t^7.382)/y + (3*t^7.583)/y + (2*t^7.854)/y + (3*t^8.055)/y + (5*t^8.327)/y + (9*t^8.528)/y + (3*t^8.728)/y + (3*t^8.799)/y - t^4.618*y - t^6.709*y - t^6.909*y + t^7.181*y + 6*t^7.382*y + 3*t^7.583*y + 2*t^7.854*y + 3*t^8.055*y + 5*t^8.327*y + 9*t^8.528*y + 3*t^8.728*y + 3*t^8.799*y | (2*t^2.091)/g1^10 + 3*g1^12*t^2.291 + g1^4*t^2.764 + (2*t^3.236)/g1^4 + g1^18*t^3.437 + (2*t^3.709)/g1^12 + g1^10*t^3.909 + g1^32*t^4.11 + (3*t^4.181)/g1^20 + 6*g1^2*t^4.382 + 6*g1^24*t^4.583 + (2*t^4.854)/g1^6 + 3*g1^16*t^5.055 + (4*t^5.327)/g1^14 + 8*g1^8*t^5.528 + 3*g1^30*t^5.728 + (2*t^5.799)/g1^22 + 3*t^6. + 3*g1^22*t^6.201 + (4*t^6.272)/g1^30 + 3*g1^44*t^6.402 + (9*t^6.472)/g1^8 + 12*g1^14*t^6.673 + 11*g1^36*t^6.874 + (4*t^6.945)/g1^16 + 4*g1^6*t^7.146 + 7*g1^28*t^7.347 + (6*t^7.417)/g1^24 + g1^50*t^7.547 + (9*t^7.618)/g1^2 + 15*g1^20*t^7.819 + (2*t^7.89)/g1^32 + 7*g1^42*t^8.02 - t^8.091/g1^10 + g1^64*t^8.221 + 2*g1^12*t^8.291 + (5*t^8.362)/g1^40 + 6*g1^34*t^8.492 + (10*t^8.563)/g1^18 + 6*g1^56*t^8.693 + 13*g1^4*t^8.764 + 20*g1^26*t^8.965 - t^4.618/(g1^2*y) - t^6.709/(g1^12*y) - (g1^10*t^6.909)/y + t^7.181/(g1^20*y) + (6*g1^2*t^7.382)/y + (3*g1^24*t^7.583)/y + (2*t^7.854)/(g1^6*y) + (3*g1^16*t^8.055)/y + (5*t^8.327)/(g1^14*y) + (9*g1^8*t^8.528)/y + (3*g1^30*t^8.728)/y + (3*t^8.799)/(g1^22*y) - (t^4.618*y)/g1^2 - (t^6.709*y)/g1^12 - g1^10*t^6.909*y + (t^7.181*y)/g1^20 + 6*g1^2*t^7.382*y + 3*g1^24*t^7.583*y + (2*t^7.854*y)/g1^6 + 3*g1^16*t^8.055*y + (5*t^8.327*y)/g1^14 + 9*g1^8*t^8.528*y + 3*g1^30*t^8.728*y + (3*t^8.799*y)/g1^22 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1365 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6444 | 0.8674 | 0.7428 | [M:[0.9187, 1.244, 0.756, 0.756, 0.7033, 0.756], q:[0.7297, 0.3517], qb:[0.3517, 0.4044], phi:[0.5407]] | 2*t^2.11 + 4*t^2.268 + t^2.756 + 2*t^3.244 + t^3.402 + t^3.732 + t^3.89 + t^4.048 + 3*t^4.22 + 8*t^4.378 + 10*t^4.536 + 2*t^4.866 + 4*t^5.024 + 4*t^5.354 + 10*t^5.512 + 4*t^5.67 + t^6. - t^4.622/y - t^4.622*y | detail | |
| 1366 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6463 | 0.8724 | 0.7409 | [M:[0.922, 1.2339, 0.7661, 0.7661, 0.6949, 0.6949], q:[0.7305, 0.3475], qb:[0.3475, 0.4186], phi:[0.539]] | 3*t^2.085 + 3*t^2.298 + t^2.766 + 2*t^3.234 + t^3.447 + 2*t^3.702 + t^4.129 + 6*t^4.17 + 9*t^4.383 + 6*t^4.596 + 3*t^4.851 + 3*t^5.064 + 6*t^5.319 + 9*t^5.532 + 3*t^5.746 + 4*t^5.787 + t^6. - t^4.617/y - t^4.617*y | detail | |
| 2051 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6396 | 0.8561 | 0.7471 | [M:[0.9275, 1.2175, 0.7825, 0.7825, 0.6812, 0.8262], q:[0.7319, 0.3406], qb:[0.3406, 0.4419], phi:[0.5362]] | 2*t^2.044 + 3*t^2.348 + t^2.479 + t^2.783 + 2*t^3.217 + 2*t^3.652 + t^3.956 + 3*t^4.087 + t^4.26 + 6*t^4.391 + 2*t^4.522 + 6*t^4.695 + 5*t^4.826 + t^4.957 + 3*t^5.13 + 5*t^5.261 + 6*t^5.565 + 4*t^5.696 + 3*t^6. - t^4.609/y - t^4.609*y | detail | |
| 1364 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$ | 0.6219 | 0.8322 | 0.7474 | [M:[0.9091, 1.2727, 0.7273, 0.7273, 0.7273], q:[0.7273, 0.3636], qb:[0.3636, 0.3636], phi:[0.5455]] | 5*t^2.182 + t^2.727 + 3*t^3.273 + 4*t^3.818 + 15*t^4.364 + 5*t^4.909 + 15*t^5.455 + 11*t^6. - t^4.636/y - t^4.636*y | detail | {a: 13245/21296, c: 8861/10648, M1: 10/11, M2: 14/11, M3: 8/11, M4: 8/11, M5: 8/11, q1: 8/11, q2: 4/11, qb1: 4/11, qb2: 4/11, phi1: 6/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 556 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.6052 | 0.7938 | 0.7624 | [M:[0.9204, 1.2388, 0.7612, 0.7612], q:[0.7301, 0.3495], qb:[0.3495, 0.4117], phi:[0.5398]] | t^2.097 + 3*t^2.284 + t^2.761 + 2*t^3.239 + t^3.425 + 2*t^3.716 + 2*t^3.903 + t^4.09 + t^4.194 + 3*t^4.381 + 6*t^4.567 + t^4.858 + 3*t^5.045 + 2*t^5.336 + 7*t^5.522 + 3*t^5.709 + 3*t^6. - t^4.619/y - t^4.619*y | detail |