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 |
|---|---|---|---|---|---|---|---|---|---|
| 4560 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ | 0.5918 | 0.7596 | 0.7791 | [X:[1.3527], M:[1.1286, 0.7967, 1.2033, 0.722, 1.278, 0.6473, 0.8714, 0.722], q:[0.473, 0.3983], qb:[0.3236, 0.8797], phi:[0.4813]] | [X:[[22]], M:[[-26], [10], [-10], [-6], [6], [-22], [26], [-6]], q:[[21], [5]], qb:[[-11], [1]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{8}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{8}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{2}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{8}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$ | 1 | 2*t^2.166 + t^2.39 + t^2.614 + t^2.888 + t^3.386 + 2*t^3.61 + 2*t^3.834 + 2*t^4.058 + t^4.282 + 2*t^4.332 + t^4.556 + 2*t^4.78 + t^5.004 + 3*t^5.054 + t^5.228 + 2*t^5.278 + 2*t^5.502 + t^5.552 + 3*t^5.776 + t^6. + 3*t^6.224 + t^6.274 + 4*t^6.448 + 3*t^6.498 + 3*t^6.672 + 3*t^6.722 + t^6.772 + t^6.896 + 2*t^6.946 + t^6.996 + t^7.17 + 4*t^7.22 + t^7.394 + 3*t^7.444 + t^7.618 + 6*t^7.668 + t^7.842 + 5*t^7.892 + 3*t^7.942 + 5*t^8.116 - 3*t^8.166 + 2*t^8.34 - 2*t^8.39 + 2*t^8.44 + t^8.564 - 2*t^8.614 + 4*t^8.664 + 3*t^8.838 + 3*t^8.888 + t^8.938 - t^4.444/y - t^6.61/y + (3*t^7.556)/y + (2*t^7.78)/y + t^8.004/y + (2*t^8.054)/y + (2*t^8.278)/y + t^8.502/y + (2*t^8.552)/y + (4*t^8.776)/y - t^4.444*y - t^6.61*y + 3*t^7.556*y + 2*t^7.78*y + t^8.004*y + 2*t^8.054*y + 2*t^8.278*y + t^8.502*y + 2*t^8.552*y + 4*t^8.776*y | (2*t^2.166)/g1^6 + g1^10*t^2.39 + g1^26*t^2.614 + t^2.888/g1^8 + t^3.386/g1^26 + (2*t^3.61)/g1^10 + 2*g1^6*t^3.834 + 2*g1^22*t^4.058 + g1^38*t^4.282 + (2*t^4.332)/g1^12 + g1^4*t^4.556 + 2*g1^20*t^4.78 + g1^36*t^5.004 + (3*t^5.054)/g1^14 + g1^52*t^5.228 + 2*g1^2*t^5.278 + 2*g1^18*t^5.502 + t^5.552/g1^32 + (3*t^5.776)/g1^16 + t^6. + 3*g1^16*t^6.224 + t^6.274/g1^34 + 4*g1^32*t^6.448 + (3*t^6.498)/g1^18 + 3*g1^48*t^6.672 + (3*t^6.722)/g1^2 + t^6.772/g1^52 + g1^64*t^6.896 + 2*g1^14*t^6.946 + t^6.996/g1^36 + g1^30*t^7.17 + (4*t^7.22)/g1^20 + g1^46*t^7.394 + (3*t^7.444)/g1^4 + g1^62*t^7.618 + 6*g1^12*t^7.668 + g1^78*t^7.842 + 5*g1^28*t^7.892 + (3*t^7.942)/g1^22 + 5*g1^44*t^8.116 - (3*t^8.166)/g1^6 + 2*g1^60*t^8.34 - 2*g1^10*t^8.39 + (2*t^8.44)/g1^40 + g1^76*t^8.564 - 2*g1^26*t^8.614 + (4*t^8.664)/g1^24 + 3*g1^42*t^8.838 + (3*t^8.888)/g1^8 + t^8.938/g1^58 - t^4.444/(g1^4*y) - t^6.61/(g1^10*y) + (3*g1^4*t^7.556)/y + (2*g1^20*t^7.78)/y + (g1^36*t^8.004)/y + (2*t^8.054)/(g1^14*y) + (2*g1^2*t^8.278)/y + (g1^18*t^8.502)/y + (2*t^8.552)/(g1^32*y) + (4*t^8.776)/(g1^16*y) - (t^4.444*y)/g1^4 - (t^6.61*y)/g1^10 + 3*g1^4*t^7.556*y + 2*g1^20*t^7.78*y + g1^36*t^8.004*y + (2*t^8.054*y)/g1^14 + 2*g1^2*t^8.278*y + g1^18*t^8.502*y + (2*t^8.552*y)/g1^32 + (4*t^8.776*y)/g1^16 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6054 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{1}M_{4}$ | 0.5786 | 0.7505 | 0.771 | [X:[1.25], M:[1.25, 0.75, 1.25, 0.75, 1.25, 0.75, 0.75, 0.75], q:[0.375, 0.375], qb:[0.375, 0.875], phi:[0.5]] | 4*t^2.25 + t^3. + 8*t^3.75 + 7*t^4.5 + 7*t^5.25 + 16*t^6. - t^4.5/y - t^4.5*y | detail | {a: 1185/2048, c: 1537/2048, X1: 5/4, M1: 5/4, M2: 3/4, M3: 5/4, M4: 3/4, M5: 5/4, M6: 3/4, M7: 3/4, M8: 3/4, q1: 3/8, q2: 3/8, qb1: 3/8, qb2: 7/8, phi1: 1/2} |
| 6057 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{3}M_{9}$ | 0.6087 | 0.7899 | 0.7706 | [X:[1.342], M:[1.1412, 0.7918, 1.2082, 0.7249, 1.2751, 0.658, 0.8588, 0.7249, 0.7918], q:[0.4628, 0.3959], qb:[0.329, 0.8792], phi:[0.4833]] | 2*t^2.175 + 2*t^2.375 + t^2.576 + t^2.9 + t^3.424 + t^3.625 + 2*t^3.825 + 2*t^4.026 + t^4.227 + 2*t^4.349 + 3*t^4.55 + 4*t^4.751 + 2*t^4.952 + 3*t^5.074 + t^5.153 + 3*t^5.275 + 2*t^5.476 + t^5.598 + 2*t^5.799 + t^6. - t^4.45/y - t^4.45*y | detail | |
| 6055 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{4}M_{9}$ | 0.5718 | 0.7224 | 0.7915 | [X:[1.3495], M:[1.1325, 0.7952, 1.2048, 0.7229, 1.2771, 0.6505, 0.8675, 0.7229, 1.2771], q:[0.4699, 0.3976], qb:[0.3253, 0.8795], phi:[0.4819]] | t^2.169 + t^2.386 + t^2.603 + t^2.892 + t^3.397 + 2*t^3.614 + 3*t^3.831 + 2*t^4.048 + t^4.265 + t^4.771 + t^4.988 + 2*t^5.06 + t^5.205 + 2*t^5.277 + 2*t^5.494 + t^5.783 - t^4.446/y - t^4.446*y | detail | |
| 6056 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{7}M_{9}$ | 0.5825 | 0.7437 | 0.7832 | [X:[1.3971], M:[1.0761, 0.8169, 1.1831, 0.7099, 1.2901, 0.6029, 0.9239, 0.7099, 1.0761], q:[0.5155, 0.4084], qb:[0.3014, 0.8817], phi:[0.4732]] | 2*t^2.13 + t^2.451 + t^2.839 + 2*t^3.228 + 2*t^3.549 + 2*t^3.87 + 2*t^4.191 + 2*t^4.259 + t^4.513 + t^4.58 + 3*t^4.969 + 2*t^5.29 + 3*t^5.358 + t^5.611 + 4*t^5.679 - t^4.42/y - t^4.42*y | detail | |
| 6053 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{7}^{2}$ | 0.578 | 0.7415 | 0.7796 | [X:[1.4615], M:[1.0, 0.8462, 1.1538, 0.6923, 1.3077, 0.5385, 1.0, 0.6923], q:[0.5769, 0.4231], qb:[0.2692, 0.8846], phi:[0.4615]] | 2*t^2.077 + t^2.538 + t^2.769 + 2*t^3. + 2*t^3.462 + 2*t^3.923 + 2*t^4.154 + 2*t^4.385 + t^4.615 + 4*t^4.846 + 3*t^5.077 + 2*t^5.308 + 4*t^5.538 + 3*t^5.769 + 3*t^6. - t^4.385/y - t^4.385*y | detail | {a: 1563/2704, c: 2005/2704, X1: 19/13, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 17/13, M6: 7/13, M7: 1, M8: 9/13, q1: 15/26, q2: 11/26, qb1: 7/26, qb2: 23/26, phi1: 6/13} |
| 6058 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.6119 | 0.7969 | 0.7677 | [X:[1.3559], M:[1.1249, 0.7981, 1.2019, 0.7211, 1.2789, 0.6441, 0.8751, 0.7211, 0.7211], q:[0.4761, 0.3991], qb:[0.3221, 0.8798], phi:[0.4807]] | 3*t^2.163 + t^2.394 + t^2.625 + t^2.884 + t^3.375 + 2*t^3.606 + t^3.837 + 2*t^4.068 + t^4.299 + 5*t^4.327 + 2*t^4.558 + 3*t^4.789 + t^5.02 + 4*t^5.048 + t^5.251 + 2*t^5.279 + 2*t^5.51 + 2*t^5.538 + 5*t^5.769 - t^4.442/y - t^4.442*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2515 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ | 0.7393 | 0.93 | 0.7949 | [M:[0.8552, 1.0409, 0.9591, 0.937, 1.063, 0.8332, 0.6928, 0.937], q:[0.6243, 0.5205], qb:[0.4166, 0.5425], phi:[0.474]] | t^2.078 + t^2.5 + t^2.566 + 2*t^2.811 + t^2.844 + t^2.877 + t^3.123 + t^4.157 + t^4.233 + t^4.299 + 2*t^4.545 + t^4.578 + t^4.611 + t^4.644 + t^4.677 + t^4.856 + 2*t^4.889 + 2*t^4.923 + t^4.956 + t^4.999 + t^5.065 + t^5.131 + t^5.168 + t^5.201 + 2*t^5.311 + t^5.344 + 2*t^5.377 + t^5.41 + t^5.443 + 3*t^5.622 + 2*t^5.655 + 2*t^5.688 + t^5.721 + t^5.934 + t^5.967 - 3*t^6. - t^4.422/y - t^4.422*y | detail |