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 |
|---|---|---|---|---|---|---|---|---|---|
| 2665 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7074 | 0.9012 | 0.785 | [M:[0.9807, 0.7799, 0.9305, 0.8301, 1.1699, 0.7297, 0.6795], q:[0.6294, 0.39], qb:[0.4402, 0.7799], phi:[0.4402]] | [M:[[-18], [2], [-13], [-3], [3], [7], [12]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$ | ${}$ | -1 | t^2.039 + t^2.189 + t^2.34 + t^2.49 + t^2.641 + t^2.791 + t^2.942 + t^3.51 + t^3.66 + t^4.077 + 2*t^4.228 + 3*t^4.378 + 3*t^4.529 + 3*t^4.68 + 3*t^4.83 + 4*t^4.981 + t^5.097 + 3*t^5.131 + 2*t^5.282 + t^5.432 + t^5.548 + 2*t^5.583 + 2*t^5.699 + t^5.734 + t^5.849 + t^5.884 - t^6. + t^6.116 + 2*t^6.266 + t^6.301 + 4*t^6.417 + t^6.452 + 5*t^6.568 + 5*t^6.718 - t^6.753 + 6*t^6.869 + 8*t^7.019 + t^7.135 + 8*t^7.17 + t^7.286 + 6*t^7.32 + t^7.436 + 5*t^7.471 + t^7.587 + 5*t^7.622 + 3*t^7.738 + 5*t^7.772 + 2*t^7.888 + 5*t^7.923 + 3*t^8.073 + t^8.155 - 3*t^8.189 + 3*t^8.224 + 2*t^8.305 - 3*t^8.34 + 2*t^8.374 + 4*t^8.456 - t^8.49 + 2*t^8.525 + 7*t^8.606 - 2*t^8.641 + t^8.676 + 8*t^8.757 - 4*t^8.791 + t^8.826 + 7*t^8.907 - 4*t^8.942 - t^4.32/y - t^6.359/y - t^6.51/y - t^6.66/y - t^6.961/y - t^7.112/y + t^7.228/y - t^7.262/y + (2*t^7.378)/y + (3*t^7.529)/y + (3*t^7.68)/y + (3*t^7.83)/y + (4*t^7.981)/y + (4*t^8.131)/y + (3*t^8.282)/y - t^8.398/y + (2*t^8.432)/y + t^8.583/y + t^8.734/y + t^8.849/y - t^4.32*y - t^6.359*y - t^6.51*y - t^6.66*y - t^6.961*y - t^7.112*y + t^7.228*y - t^7.262*y + 2*t^7.378*y + 3*t^7.529*y + 3*t^7.68*y + 3*t^7.83*y + 4*t^7.981*y + 4*t^8.131*y + 3*t^8.282*y - t^8.398*y + 2*t^8.432*y + t^8.583*y + t^8.734*y + t^8.849*y | g1^12*t^2.039 + g1^7*t^2.189 + g1^2*t^2.34 + t^2.49/g1^3 + t^2.641/g1^8 + t^2.791/g1^13 + t^2.942/g1^18 + g1^3*t^3.51 + t^3.66/g1^2 + g1^24*t^4.077 + 2*g1^19*t^4.228 + 3*g1^14*t^4.378 + 3*g1^9*t^4.529 + 3*g1^4*t^4.68 + (3*t^4.83)/g1 + (4*t^4.981)/g1^6 + g1^30*t^5.097 + (3*t^5.131)/g1^11 + (2*t^5.282)/g1^16 + t^5.432/g1^21 + g1^15*t^5.548 + (2*t^5.583)/g1^26 + 2*g1^10*t^5.699 + t^5.734/g1^31 + g1^5*t^5.849 + t^5.884/g1^36 - t^6. + g1^36*t^6.116 + 2*g1^31*t^6.266 + t^6.301/g1^10 + 4*g1^26*t^6.417 + t^6.452/g1^15 + 5*g1^21*t^6.568 + 5*g1^16*t^6.718 - t^6.753/g1^25 + 6*g1^11*t^6.869 + 8*g1^6*t^7.019 + g1^42*t^7.135 + 8*g1*t^7.17 + g1^37*t^7.286 + (6*t^7.32)/g1^4 + g1^32*t^7.436 + (5*t^7.471)/g1^9 + g1^27*t^7.587 + (5*t^7.622)/g1^14 + 3*g1^22*t^7.738 + (5*t^7.772)/g1^19 + 2*g1^17*t^7.888 + (5*t^7.923)/g1^24 + (3*t^8.073)/g1^29 + g1^48*t^8.155 - 3*g1^7*t^8.189 + (3*t^8.224)/g1^34 + 2*g1^43*t^8.305 - 3*g1^2*t^8.34 + (2*t^8.374)/g1^39 + 4*g1^38*t^8.456 - t^8.49/g1^3 + (2*t^8.525)/g1^44 + 7*g1^33*t^8.606 - (2*t^8.641)/g1^8 + t^8.676/g1^49 + 8*g1^28*t^8.757 - (4*t^8.791)/g1^13 + t^8.826/g1^54 + 7*g1^23*t^8.907 - (4*t^8.942)/g1^18 - t^4.32/(g1^4*y) - (g1^8*t^6.359)/y - (g1^3*t^6.51)/y - t^6.66/(g1^2*y) - t^6.961/(g1^12*y) - t^7.112/(g1^17*y) + (g1^19*t^7.228)/y - t^7.262/(g1^22*y) + (2*g1^14*t^7.378)/y + (3*g1^9*t^7.529)/y + (3*g1^4*t^7.68)/y + (3*t^7.83)/(g1*y) + (4*t^7.981)/(g1^6*y) + (4*t^8.131)/(g1^11*y) + (3*t^8.282)/(g1^16*y) - (g1^20*t^8.398)/y + (2*t^8.432)/(g1^21*y) + t^8.583/(g1^26*y) + t^8.734/(g1^31*y) + (g1^5*t^8.849)/y - (t^4.32*y)/g1^4 - g1^8*t^6.359*y - g1^3*t^6.51*y - (t^6.66*y)/g1^2 - (t^6.961*y)/g1^12 - (t^7.112*y)/g1^17 + g1^19*t^7.228*y - (t^7.262*y)/g1^22 + 2*g1^14*t^7.378*y + 3*g1^9*t^7.529*y + 3*g1^4*t^7.68*y + (3*t^7.83*y)/g1 + (4*t^7.981*y)/g1^6 + (4*t^8.131*y)/g1^11 + (3*t^8.282*y)/g1^16 - g1^20*t^8.398*y + (2*t^8.432*y)/g1^21 + (t^8.583*y)/g1^26 + (t^8.734*y)/g1^31 + g1^5*t^8.849*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 |
|---|---|---|---|---|---|---|---|---|
| 4807 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{7}X_{1}$ | 0.6843 | 0.8577 | 0.7979 | [X:[1.3548], M:[1.0323, 0.7742, 0.9677, 0.8387, 1.1613, 0.7097, 0.6452], q:[0.5806, 0.3871], qb:[0.4516, 0.7742], phi:[0.4516]] | t^2.129 + t^2.323 + t^2.516 + t^2.71 + t^2.903 + t^3.097 + t^3.484 + t^3.677 + 2*t^4.065 + 2*t^4.258 + 2*t^4.452 + 2*t^4.645 + 3*t^4.839 + 3*t^5.032 + 3*t^5.226 + 2*t^5.419 + 2*t^5.613 + 3*t^5.806 - t^4.355/y - t^4.355*y | detail | {a: 163095/238328, c: 102209/119164, X1: 42/31, M1: 32/31, M2: 24/31, M3: 30/31, M4: 26/31, M5: 36/31, M6: 22/31, M7: 20/31, q1: 18/31, q2: 12/31, qb1: 14/31, qb2: 24/31, phi1: 14/31} |
| 4809 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{7}X_{1}$ | 0.6862 | 0.8599 | 0.7981 | [X:[1.3333], M:[1.0, 0.7778, 0.9444, 0.8333, 1.1667, 0.7222, 0.6667], q:[0.6111, 0.3889], qb:[0.4444, 0.7778], phi:[0.4444]] | t^2.167 + t^2.333 + t^2.5 + t^2.667 + t^2.833 + t^3. + t^3.5 + t^3.667 + t^4. + t^4.167 + 2*t^4.333 + 2*t^4.5 + 2*t^4.667 + 2*t^4.833 + 4*t^5. + 3*t^5.167 + 2*t^5.333 + t^5.5 + 3*t^5.667 + 2*t^5.833 - t^4.333/y - t^4.333*y | detail | {a: 7115/10368, c: 8915/10368, X1: 4/3, M1: 1, M2: 7/9, M3: 17/18, M4: 5/6, M5: 7/6, M6: 13/18, M7: 2/3, q1: 11/18, q2: 7/18, qb1: 4/9, qb2: 7/9, phi1: 4/9} |
| 4810 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ | 0.6898 | 0.8697 | 0.7931 | [M:[0.9774, 0.7803, 0.9281, 0.8296, 1.1704, 0.731, 0.6818, 1.2197], q:[0.6325, 0.3901], qb:[0.4394, 0.7803], phi:[0.4394]] | t^2.045 + t^2.193 + t^2.489 + t^2.636 + t^2.784 + t^2.932 + t^3.511 + 2*t^3.659 + t^4.091 + 2*t^4.238 + 2*t^4.386 + 2*t^4.534 + 2*t^4.682 + 2*t^4.83 + 3*t^4.977 + t^5.113 + 2*t^5.125 + t^5.273 + t^5.421 + t^5.557 + 2*t^5.569 + 3*t^5.704 + t^5.716 + t^5.852 + t^5.864 - 2*t^6. - t^4.318/y - t^4.318*y | detail | |
| 4814 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ | 0.722 | 0.9262 | 0.7795 | [M:[0.9742, 0.7806, 0.9258, 0.829, 1.171, 0.7323, 0.6839, 0.829], q:[0.6355, 0.3903], qb:[0.4387, 0.7806], phi:[0.4387]] | t^2.052 + t^2.197 + t^2.342 + 2*t^2.487 + t^2.632 + t^2.777 + t^2.923 + t^3.658 + t^4.103 + 2*t^4.248 + 3*t^4.394 + 4*t^4.539 + 4*t^4.684 + 4*t^4.829 + 6*t^4.974 + 4*t^5.119 + t^5.129 + 3*t^5.264 + 2*t^5.41 + 2*t^5.555 + t^5.7 + t^5.71 + t^5.845 - 2*t^6. - t^4.316/y - t^4.316*y | detail | |
| 4830 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$ | 0.4705 | 0.5695 | 0.8262 | [X:[1.5, 1.4167, 1.3333], M:[0.5, 0.8333, 0.5833, 0.75, 1.25, 0.9167, 1.0], q:[1.0833, 0.4167], qb:[0.3333, 0.8333], phi:[0.3333]] | t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.5 + t^4.25 + 2*t^4.5 + t^5. + 2*t^5.25 + 3*t^5.5 + t^5.75 - t^6. - t^4./y - t^4.*y | detail | {a: 2891/6144, c: 3499/6144, X1: 3/2, X2: 17/12, X3: 4/3, M1: 1/2, M2: 5/6, M3: 7/12, M4: 3/4, M5: 5/4, M6: 11/12, M7: 1, q1: 13/12, q2: 5/12, qb1: 1/3, qb2: 5/6, phi1: 1/3} |
| 4815 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.7251 | 0.9327 | 0.7774 | [M:[0.984, 0.7796, 0.9329, 0.8307, 1.1693, 0.7285, 0.6773, 0.7796], q:[0.6262, 0.3898], qb:[0.4409, 0.7796], phi:[0.4409]] | t^2.032 + t^2.185 + 2*t^2.339 + t^2.492 + t^2.645 + t^2.799 + t^2.952 + t^3.508 + t^4.064 + 2*t^4.217 + 4*t^4.371 + 4*t^4.524 + 5*t^4.677 + 4*t^4.831 + 5*t^4.984 + t^5.08 + 4*t^5.137 + 3*t^5.291 + t^5.444 + t^5.54 + 2*t^5.597 + t^5.693 + t^5.751 + t^5.847 + t^5.904 - 2*t^6. - t^4.323/y - t^4.323*y | detail | |
| 4812 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{7}X_{1}$ | 0.6762 | 0.8429 | 0.8022 | [X:[1.3345], M:[1.0017, 0.7776, 0.9457, 0.8336, 1.1664, 0.7215, 0.6655, 1.1103], q:[0.6095, 0.3888], qb:[0.4448, 0.7776], phi:[0.4448]] | t^2.165 + t^2.333 + t^2.501 + t^2.837 + t^3.005 + t^3.331 + t^3.499 + t^3.667 + t^4.003 + t^4.161 + 2*t^4.329 + 2*t^4.497 + 2*t^4.666 + t^4.834 + t^4.991 + 2*t^5.002 + 2*t^5.17 + t^5.338 + t^5.496 + 2*t^5.664 + t^5.674 + 2*t^5.832 + t^5.842 - t^6. - t^4.334/y - t^4.334*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1553 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6866 | 0.8604 | 0.798 | [M:[0.9776, 0.7803, 0.9283, 0.8296, 1.1704, 0.7309], q:[0.6323, 0.3901], qb:[0.4395, 0.7803], phi:[0.4395]] | t^2.193 + t^2.341 + t^2.489 + t^2.637 + t^2.785 + t^2.933 + t^3.511 + t^3.659 + t^3.955 + t^4.238 + 2*t^4.386 + 2*t^4.534 + 2*t^4.682 + 2*t^4.83 + 3*t^4.978 + t^5.112 + 3*t^5.126 + 2*t^5.274 + t^5.422 + 2*t^5.57 + t^5.704 + t^5.718 + t^5.852 + t^5.866 - t^6. - t^4.318/y - t^4.318*y | detail |