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 |
|---|---|---|---|---|---|---|---|---|---|
| 2551 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ | 0.6953 | 0.8589 | 0.8095 | [M:[1.0882, 0.7354, 0.8386, 0.985, 1.015, 0.8086, 1.1914], q:[0.5441, 0.3677], qb:[0.6173, 0.6473], phi:[0.4559]] | [M:[[-2], [6], [15], [-11], [11], [-7], [7]], q:[[-1], [3]], qb:[[-14], [8]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{7}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -2 | t^2.206 + t^2.516 + t^2.735 + t^2.955 + t^3.045 + t^3.265 + 2*t^3.574 + t^4.103 + t^4.323 + 2*t^4.413 + t^4.632 + t^4.722 + t^4.852 + 2*t^4.942 + t^5.032 + t^5.071 + t^5.161 + 2*t^5.251 + 2*t^5.471 + t^5.561 + 3*t^5.78 - 2*t^6. + 2*t^6.09 + 3*t^6.31 + t^6.529 + 4*t^6.619 - t^6.749 + 2*t^6.839 + 2*t^6.929 + t^7.058 + 6*t^7.148 + t^7.238 + t^7.278 + t^7.368 + 3*t^7.458 + t^7.548 + t^7.587 + 4*t^7.677 + 2*t^7.767 + t^7.807 + 6*t^7.987 + t^8.026 + t^8.077 - t^8.206 + 4*t^8.296 + 2*t^8.516 + 2*t^8.606 + t^8.646 - 2*t^8.735 + 6*t^8.825 - 3*t^8.955 - t^4.368/y - t^6.574/y - t^6.884/y + t^7.722/y + t^7.852/y + t^7.942/y + (2*t^8.161)/y + (2*t^8.251)/y + (2*t^8.471)/y + t^8.561/y + t^8.69/y + (3*t^8.78)/y - t^4.368*y - t^6.574*y - t^6.884*y + t^7.722*y + t^7.852*y + t^7.942*y + 2*t^8.161*y + 2*t^8.251*y + 2*t^8.471*y + t^8.561*y + t^8.69*y + 3*t^8.78*y | g1^6*t^2.206 + g1^15*t^2.516 + g1^2*t^2.735 + t^2.955/g1^11 + g1^11*t^3.045 + t^3.265/g1^2 + 2*g1^7*t^3.574 + g1^3*t^4.103 + t^4.323/g1^10 + 2*g1^12*t^4.413 + t^4.632/g1 + g1^21*t^4.722 + t^4.852/g1^14 + 2*g1^8*t^4.942 + g1^30*t^5.032 + t^5.071/g1^27 + t^5.161/g1^5 + 2*g1^17*t^5.251 + 2*g1^4*t^5.471 + g1^26*t^5.561 + 3*g1^13*t^5.78 - 2*t^6. + 2*g1^22*t^6.09 + 3*g1^9*t^6.31 + t^6.529/g1^4 + 4*g1^18*t^6.619 - t^6.749/g1^17 + 2*g1^5*t^6.839 + 2*g1^27*t^6.929 + t^7.058/g1^8 + 6*g1^14*t^7.148 + g1^36*t^7.238 + t^7.278/g1^21 + g1*t^7.368 + 3*g1^23*t^7.458 + g1^45*t^7.548 + t^7.587/g1^12 + 4*g1^10*t^7.677 + 2*g1^32*t^7.767 + t^7.807/g1^25 + 6*g1^19*t^7.987 + t^8.026/g1^38 + g1^41*t^8.077 - g1^6*t^8.206 + 4*g1^28*t^8.296 + 2*g1^15*t^8.516 + 2*g1^37*t^8.606 + t^8.646/g1^20 - 2*g1^2*t^8.735 + 6*g1^24*t^8.825 - (3*t^8.955)/g1^11 - (g1*t^4.368)/y - (g1^7*t^6.574)/y - (g1^16*t^6.884)/y + (g1^21*t^7.722)/y + t^7.852/(g1^14*y) + (g1^8*t^7.942)/y + (2*t^8.161)/(g1^5*y) + (2*g1^17*t^8.251)/y + (2*g1^4*t^8.471)/y + (g1^26*t^8.561)/y + t^8.69/(g1^9*y) + (3*g1^13*t^8.78)/y - g1*t^4.368*y - g1^7*t^6.574*y - g1^16*t^6.884*y + g1^21*t^7.722*y + (t^7.852*y)/g1^14 + g1^8*t^7.942*y + (2*t^8.161*y)/g1^5 + 2*g1^17*t^8.251*y + 2*g1^4*t^8.471*y + g1^26*t^8.561*y + (t^8.69*y)/g1^9 + 3*g1^13*t^8.78*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 |
|---|---|---|---|---|---|---|---|---|
| 4641 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{2}M_{3}$ | 0.605 | 0.7509 | 0.8058 | [M:[1.0476, 0.8571, 1.1429, 0.7619, 1.2381, 0.6667, 1.3333], q:[0.5238, 0.4286], qb:[0.3333, 0.8095], phi:[0.4762]] | t^2.286 + t^2.571 + t^2.857 + t^3.143 + 2*t^3.429 + 2*t^3.714 + 3*t^4. + t^4.286 + t^4.571 + t^4.857 + 2*t^5.143 + 2*t^5.429 + 2*t^5.714 - t^4.429/y - t^4.429*y | detail | {a: 1423/2352, c: 883/1176, M1: 22/21, M2: 6/7, M3: 8/7, M4: 16/21, M5: 26/21, M6: 2/3, M7: 4/3, q1: 11/21, q2: 3/7, qb1: 1/3, qb2: 17/21, phi1: 10/21} |
| 4642 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{3}^{2}$ | 0.6702 | 0.8243 | 0.813 | [M:[1.0667, 0.8, 1.0, 0.8667, 1.1333, 0.7333, 1.2667], q:[0.5333, 0.4], qb:[0.4667, 0.7333], phi:[0.4667]] | t^2.4 + t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.4 + 2*t^3.8 + t^4. + 2*t^4.2 + t^4.4 + t^4.6 + 2*t^4.8 + t^5. + 2*t^5.2 + t^5.4 + 2*t^5.6 + 2*t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 4021/6000, c: 2473/3000, M1: 16/15, M2: 4/5, M3: 1, M4: 13/15, M5: 17/15, M6: 11/15, M7: 19/15, q1: 8/15, q2: 2/5, qb1: 7/15, qb2: 11/15, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1475 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7115 | 0.8866 | 0.8025 | [M:[1.0862, 0.7414, 0.8534, 0.9742, 1.0258, 0.8017], q:[0.5431, 0.3707], qb:[0.6035, 0.6552], phi:[0.4569]] | t^2.224 + t^2.405 + t^2.56 + t^2.741 + t^2.923 + t^3.077 + t^3.259 + t^3.595 + t^4.112 + t^4.293 + 2*t^4.448 + 2*t^4.629 + t^4.784 + 2*t^4.81 + 3*t^4.965 + t^4.992 + t^5.12 + 2*t^5.147 + 2*t^5.302 + t^5.328 + 3*t^5.483 + t^5.638 + t^5.664 + 2*t^5.819 - t^6. - t^4.371/y - t^4.371*y | detail |