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 |
|---|---|---|---|---|---|---|---|---|---|
| 46215 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}q_{2}$ | 0.6483 | 0.8256 | 0.7853 | [M:[1.1122, 0.7757, 0.7757], q:[0.75, 0.4743], qb:[0.3622, 0.4135], phi:[0.5]] | [M:[[-1], [2], [2]], q:[[0], [-2]], qb:[[-1], [3]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | ${}$ | -2 | 3*t^2.327 + t^2.509 + t^3. + 2*t^3.336 + t^3.491 + t^3.827 + t^3.981 + t^4.009 + t^4.164 + t^4.346 + 6*t^4.654 + 3*t^4.836 + t^5.019 + 3*t^5.327 + t^5.509 + 5*t^5.664 + 2*t^5.818 + t^5.846 - 2*t^6. + 2*t^6.154 - t^6.182 + 3*t^6.308 + 3*t^6.336 + 3*t^6.491 + t^6.519 + 4*t^6.673 + t^6.827 + t^6.855 + 11*t^6.981 - t^7.009 + 5*t^7.164 + t^7.318 + 3*t^7.346 + t^7.472 - t^7.5 + t^7.528 + 5*t^7.654 + t^7.808 + t^7.836 + t^7.962 + 9*t^7.991 + t^8.019 + 4*t^8.145 + 2*t^8.173 - 6*t^8.327 + 2*t^8.355 + 3*t^8.481 - 4*t^8.509 + 6*t^8.635 + 4*t^8.664 + 5*t^8.818 + 2*t^8.846 - t^4.5/y - (2*t^6.827)/y + t^7.164/y + (3*t^7.654)/y + (2*t^7.836)/y + (2*t^8.173)/y + (3*t^8.327)/y + t^8.509/y + (6*t^8.664)/y + (3*t^8.818)/y + (2*t^8.846)/y - t^4.5*y - 2*t^6.827*y + t^7.164*y + 3*t^7.654*y + 2*t^7.836*y + 2*t^8.173*y + 3*t^8.327*y + t^8.509*y + 6*t^8.664*y + 3*t^8.818*y + 2*t^8.846*y | 3*g1^2*t^2.327 + t^2.509/g1^3 + t^3. + (2*t^3.336)/g1 + g1^3*t^3.491 + g1^2*t^3.827 + g1^6*t^3.981 + t^4.009/g1^3 + g1*t^4.164 + t^4.346/g1^4 + 6*g1^4*t^4.654 + (3*t^4.836)/g1 + t^5.019/g1^6 + 3*g1^2*t^5.327 + t^5.509/g1^3 + 5*g1*t^5.664 + 2*g1^5*t^5.818 + t^5.846/g1^4 - 2*t^6. + 2*g1^4*t^6.154 - t^6.182/g1^5 + 3*g1^8*t^6.308 + (3*t^6.336)/g1 + 3*g1^3*t^6.491 + t^6.519/g1^6 + (4*t^6.673)/g1^2 + g1^2*t^6.827 + t^6.855/g1^7 + 11*g1^6*t^6.981 - t^7.009/g1^3 + 5*g1*t^7.164 + g1^5*t^7.318 + (3*t^7.346)/g1^4 + g1^9*t^7.472 - t^7.5 + t^7.528/g1^9 + 5*g1^4*t^7.654 + g1^8*t^7.808 + t^7.836/g1 + g1^12*t^7.962 + 9*g1^3*t^7.991 + t^8.019/g1^6 + 4*g1^7*t^8.145 + (2*t^8.173)/g1^2 - 6*g1^2*t^8.327 + (2*t^8.355)/g1^7 + 3*g1^6*t^8.481 - (4*t^8.509)/g1^3 + 6*g1^10*t^8.635 + 4*g1*t^8.664 + 5*g1^5*t^8.818 + (2*t^8.846)/g1^4 - t^4.5/y - (2*g1^2*t^6.827)/y + (g1*t^7.164)/y + (3*g1^4*t^7.654)/y + (2*t^7.836)/(g1*y) + (2*t^8.173)/(g1^2*y) + (3*g1^2*t^8.327)/y + t^8.509/(g1^3*y) + (6*g1*t^8.664)/y + (3*g1^5*t^8.818)/y + (2*t^8.846)/(g1^4*y) - t^4.5*y - 2*g1^2*t^6.827*y + g1*t^7.164*y + 3*g1^4*t^7.654*y + (2*t^7.836*y)/g1 + (2*t^8.173*y)/g1^2 + 3*g1^2*t^8.327*y + (t^8.509*y)/g1^3 + 6*g1*t^8.664*y + 3*g1^5*t^8.818*y + (2*t^8.846*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 |
|---|---|---|---|---|---|---|---|---|
| 46502 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 0.6461 | 0.8211 | 0.7869 | [M:[1.1, 0.8, 0.8], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | 4*t^2.4 + t^3. + 2*t^3.3 + t^3.6 + 2*t^3.9 + 3*t^4.2 + 10*t^4.8 + 4*t^5.4 + 6*t^5.7 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 5169/8000, c: 6569/8000, M1: 11/10, M2: 4/5, M3: 4/5, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2} |
| 46486 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6691 | 0.8669 | 0.7718 | [M:[1.1117, 0.7765, 0.7765, 0.6704], q:[0.75, 0.4735], qb:[0.3617, 0.4148], phi:[0.5]] | t^2.011 + 3*t^2.33 + t^2.506 + t^3. + 2*t^3.335 + t^3.494 + t^3.83 + t^4.006 + t^4.023 + t^4.165 + 4*t^4.341 + t^4.517 + 6*t^4.659 + 3*t^4.835 + 2*t^5.011 + 3*t^5.33 + 2*t^5.346 + 2*t^5.506 + 5*t^5.665 + 2*t^5.824 + 2*t^5.841 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 46659 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6585 | 0.8435 | 0.7807 | [M:[1.1149, 0.7702, 0.7702, 0.8851], q:[0.75, 0.4798], qb:[0.3649, 0.4053], phi:[0.5]] | 3*t^2.311 + t^2.534 + t^2.655 + t^3. + t^3.345 + t^3.466 + t^3.811 + t^3.932 + t^4.034 + t^4.155 + t^4.379 + 6*t^4.621 + 3*t^4.845 + 3*t^4.966 + t^5.068 + t^5.189 + 4*t^5.311 + t^5.534 + 3*t^5.655 + 2*t^5.776 - t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46059 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ | 0.6306 | 0.7937 | 0.7946 | [M:[1.1085, 0.7829], q:[0.75, 0.4671], qb:[0.3585, 0.4244], phi:[0.5]] | 2*t^2.349 + t^2.477 + t^3. + 2*t^3.326 + t^3.523 + t^3.651 + t^3.849 + t^3.977 + t^4.047 + t^4.174 + t^4.302 + 3*t^4.698 + 2*t^4.826 + t^4.953 + 2*t^5.349 + t^5.477 + 3*t^5.674 + t^5.802 + t^5.872 - t^4.5/y - t^4.5*y | detail | {a: 895529/1420032, c: 1127041/1420032, M1: 143/129, M2: 101/129, q1: 3/4, q2: 241/516, qb1: 185/516, qb2: 73/172, phi1: 1/2} |