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 |
|---|---|---|---|---|---|---|---|---|---|
| 3030 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6618 | 0.823 | 0.8042 | [M:[1.1565, 1.0884, 0.9456, 0.8435, 0.8435, 0.7347, 1.0884], q:[0.7721, 0.3503], qb:[0.4932, 0.5612], phi:[0.4558]] | [M:[[8], [-4], [10], [-8], [-8], [12], [-4]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{7}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$ | ${}$ | -3 | t^2.204 + 2*t^2.531 + t^2.837 + 2*t^3.265 + t^3.367 + t^3.898 + t^4. + t^4.102 + t^4.327 + t^4.408 + t^4.531 + 3*t^4.735 + t^5.041 + 3*t^5.061 + t^5.367 + 2*t^5.469 + t^5.673 + 3*t^5.796 + 2*t^5.898 - 3*t^6. + 2*t^6.102 + t^6.204 + t^6.306 + t^6.429 + 4*t^6.531 + t^6.612 + t^6.633 + 2*t^6.857 + 3*t^6.939 + t^7.061 + t^7.163 + t^7.245 + 5*t^7.265 + t^7.367 + t^7.571 + 5*t^7.592 + 2*t^7.673 + t^7.878 + t^7.898 + 3*t^8. + t^8.102 - 2*t^8.204 + t^8.224 + 2*t^8.306 + 4*t^8.327 + 3*t^8.429 + 2*t^8.51 - 6*t^8.531 + t^8.633 + t^8.653 + 4*t^8.735 + t^8.816 - 2*t^8.837 + t^8.857 + t^8.959 - t^4.367/y - t^6.571/y - t^6.898/y + t^7.102/y - t^7.204/y + t^7.531/y - t^7.633/y + (2*t^7.735)/y + t^7.837/y + t^8.041/y + t^8.061/y + t^8.163/y + (2*t^8.367)/y + (2*t^8.469)/y + t^8.571/y - t^8.776/y + (4*t^8.796)/y + (2*t^8.898)/y - t^4.367*y - t^6.571*y - t^6.898*y + t^7.102*y - t^7.204*y + t^7.531*y - t^7.633*y + 2*t^7.735*y + t^7.837*y + t^8.041*y + t^8.061*y + t^8.163*y + 2*t^8.367*y + 2*t^8.469*y + t^8.571*y - t^8.776*y + 4*t^8.796*y + 2*t^8.898*y | g1^12*t^2.204 + (2*t^2.531)/g1^8 + g1^10*t^2.837 + (2*t^3.265)/g1^4 + g1^2*t^3.367 + t^3.898/g1^6 + t^4. + g1^6*t^4.102 + t^4.327/g1^20 + g1^24*t^4.408 + t^4.531/g1^8 + 3*g1^4*t^4.735 + g1^22*t^5.041 + (3*t^5.061)/g1^16 + g1^2*t^5.367 + 2*g1^8*t^5.469 + g1^20*t^5.673 + (3*t^5.796)/g1^12 + (2*t^5.898)/g1^6 - 3*t^6. + 2*g1^6*t^6.102 + g1^12*t^6.204 + g1^18*t^6.306 + t^6.429/g1^14 + (4*t^6.531)/g1^8 + g1^36*t^6.612 + t^6.633/g1^2 + (2*t^6.857)/g1^28 + 3*g1^16*t^6.939 + t^7.061/g1^16 + t^7.163/g1^10 + g1^34*t^7.245 + (5*t^7.265)/g1^4 + g1^2*t^7.367 + g1^14*t^7.571 + (5*t^7.592)/g1^24 + 2*g1^20*t^7.673 + g1^32*t^7.878 + t^7.898/g1^6 + 3*t^8. + g1^6*t^8.102 - 2*g1^12*t^8.204 + t^8.224/g1^26 + 2*g1^18*t^8.306 + (4*t^8.327)/g1^20 + (3*t^8.429)/g1^14 + 2*g1^30*t^8.51 - (6*t^8.531)/g1^8 + t^8.633/g1^2 + t^8.653/g1^40 + 4*g1^4*t^8.735 + g1^48*t^8.816 - 2*g1^10*t^8.837 + t^8.857/g1^28 + t^8.959/g1^22 - (g1^2*t^4.367)/y - (g1^14*t^6.571)/y - t^6.898/(g1^6*y) + (g1^6*t^7.102)/y - (g1^12*t^7.204)/y + t^7.531/(g1^8*y) - t^7.633/(g1^2*y) + (2*g1^4*t^7.735)/y + (g1^10*t^7.837)/y + (g1^22*t^8.041)/y + t^8.061/(g1^16*y) + t^8.163/(g1^10*y) + (2*g1^2*t^8.367)/y + (2*g1^8*t^8.469)/y + (g1^14*t^8.571)/y - (g1^26*t^8.776)/y + (4*t^8.796)/(g1^12*y) + (2*t^8.898)/(g1^6*y) - g1^2*t^4.367*y - g1^14*t^6.571*y - (t^6.898*y)/g1^6 + g1^6*t^7.102*y - g1^12*t^7.204*y + (t^7.531*y)/g1^8 - (t^7.633*y)/g1^2 + 2*g1^4*t^7.735*y + g1^10*t^7.837*y + g1^22*t^8.041*y + (t^8.061*y)/g1^16 + (t^8.163*y)/g1^10 + 2*g1^2*t^8.367*y + 2*g1^8*t^8.469*y + g1^14*t^8.571*y - g1^26*t^8.776*y + (4*t^8.796*y)/g1^12 + (2*t^8.898*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4900 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ | 0.627 | 0.7918 | 0.7919 | [M:[1.2727, 1.0303, 1.0909, 0.7273, 0.7273, 0.9091, 1.0303], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | 2*t^2.182 + t^2.727 + 2*t^3.091 + t^3.273 + 2*t^3.455 + t^3.636 + t^4. + t^4.182 + 4*t^4.364 + 3*t^4.909 + 3*t^5.273 + 2*t^5.455 + 4*t^5.636 + 3*t^5.818 - 2*t^6. - t^4.455/y - t^4.455*y | detail | {a: 13353/21296, c: 8431/10648, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 8/11, M6: 10/11, M7: 34/33, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
| 4901 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{3}M_{8}$ | 0.6581 | 0.8183 | 0.8042 | [M:[1.1793, 1.077, 0.9741, 0.8207, 0.8207, 0.7689, 1.077, 1.0259], q:[0.7693, 0.3589], qb:[0.4618, 0.5641], phi:[0.4615]] | t^2.307 + 2*t^2.462 + t^3.078 + 2*t^3.231 + t^3.384 + t^3.847 + t^4. + t^4.153 + t^4.155 + t^4.462 + t^4.613 + 3*t^4.769 + 3*t^4.924 + 2*t^5.538 + 2*t^5.54 + 3*t^5.693 + 2*t^5.847 - 3*t^6. - t^4.384/y - t^4.384*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1978 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6701 | 0.8368 | 0.8008 | [M:[1.148, 1.0927, 0.9349, 0.852, 0.852, 0.7219], q:[0.7732, 0.3472], qb:[0.5049, 0.5602], phi:[0.4537]] | t^2.166 + 2*t^2.556 + t^2.722 + t^2.805 + t^3.278 + t^3.361 + t^3.917 + t^4. + t^4.083 + t^4.332 + t^4.39 + t^4.556 + 3*t^4.722 + t^4.888 + t^4.971 + 3*t^5.112 + 2*t^5.278 + t^5.361 + 2*t^5.444 + t^5.527 + t^5.61 + t^5.834 + 2*t^5.917 - 2*t^6. - t^4.361/y - t^4.361*y | detail |