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 |
|---|---|---|---|---|---|---|---|---|---|
| 4558 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}^{2}$ + ${ }M_{6}X_{1}$ | 0.62 | 0.7726 | 0.8025 | [X:[1.4414], M:[0.7379, 1.0276, 0.9724, 0.7931, 1.2069, 0.5586, 1.0, 1.0276], q:[0.7483, 0.5138], qb:[0.2793, 0.6931], phi:[0.4414]] | [X:[[2]], M:[[26], [-18], [18], [-10], [10], [-2], [0], [-18]], q:[[-17], [-9]], qb:[[-1], [19]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{8}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$ | ${}$ | -2 | t^2.214 + t^2.379 + t^2.648 + t^3. + 2*t^3.083 + t^3.621 + t^3.704 + t^4.241 + t^4.324 + 2*t^4.407 + t^4.427 + t^4.862 + t^4.945 + t^5.028 + t^5.111 + t^5.214 + t^5.296 + t^5.379 + t^5.462 + t^5.482 + 2*t^5.648 + 2*t^5.731 + t^5.814 - 2*t^6. + 2*t^6.083 + 2*t^6.166 + t^6.269 + t^6.455 + t^6.621 + t^6.641 + t^6.704 + 2*t^6.786 + t^6.889 + t^7.055 + t^7.075 + t^7.241 + t^7.324 + 3*t^7.407 + t^7.427 + 3*t^7.49 + 2*t^7.51 - t^7.676 + t^7.696 - t^7.759 + 2*t^7.862 + 3*t^7.945 + 3*t^8.028 + 3*t^8.111 + t^8.131 + 2*t^8.193 - 2*t^8.214 - t^8.379 + t^8.462 + t^8.482 + t^8.545 + t^8.565 + t^8.648 + t^8.668 + 3*t^8.731 + 5*t^8.814 - t^8.834 + t^8.854 + 2*t^8.897 - 2*t^8.917 - t^4.324/y - t^6.538/y - t^6.972/y + t^7.241/y - t^7.407/y + t^7.593/y + t^7.676/y + t^7.862/y + t^8.028/y + t^8.111/y + t^8.214/y + (2*t^8.296)/y + t^8.379/y + (2*t^8.462)/y + t^8.648/y + (2*t^8.731)/y - t^8.751/y + t^8.834/y + t^8.917/y - t^4.324*y - t^6.538*y - t^6.972*y + t^7.241*y - t^7.407*y + t^7.593*y + t^7.676*y + t^7.862*y + t^8.028*y + t^8.111*y + t^8.214*y + 2*t^8.296*y + t^8.379*y + 2*t^8.462*y + t^8.648*y + 2*t^8.731*y - t^8.751*y + t^8.834*y + t^8.917*y | g1^26*t^2.214 + t^2.379/g1^10 + g1^4*t^2.648 + t^3. + (2*t^3.083)/g1^18 + g1^10*t^3.621 + t^3.704/g1^8 + g1^20*t^4.241 + g1^2*t^4.324 + (2*t^4.407)/g1^16 + g1^52*t^4.427 + g1^30*t^4.862 + g1^12*t^4.945 + t^5.028/g1^6 + t^5.111/g1^24 + g1^26*t^5.214 + g1^8*t^5.296 + t^5.379/g1^10 + t^5.462/g1^28 + g1^40*t^5.482 + 2*g1^4*t^5.648 + (2*t^5.731)/g1^14 + t^5.814/g1^32 - 2*t^6. + (2*t^6.083)/g1^18 + (2*t^6.166)/g1^36 + g1^14*t^6.269 + g1^46*t^6.455 + g1^10*t^6.621 + g1^78*t^6.641 + t^6.704/g1^8 + (2*t^6.786)/g1^26 + g1^24*t^6.889 + t^7.055/g1^12 + g1^56*t^7.075 + g1^20*t^7.241 + g1^2*t^7.324 + (3*t^7.407)/g1^16 + g1^52*t^7.427 + (3*t^7.49)/g1^34 + 2*g1^34*t^7.51 - t^7.676/g1^2 + g1^66*t^7.696 - t^7.759/g1^20 + 2*g1^30*t^7.862 + 3*g1^12*t^7.945 + (3*t^8.028)/g1^6 + (3*t^8.111)/g1^24 + g1^44*t^8.131 + (2*t^8.193)/g1^42 - 2*g1^26*t^8.214 - t^8.379/g1^10 + t^8.462/g1^28 + g1^40*t^8.482 + t^8.545/g1^46 + g1^22*t^8.565 + g1^4*t^8.648 + g1^72*t^8.668 + (3*t^8.731)/g1^14 + (5*t^8.814)/g1^32 - g1^36*t^8.834 + g1^104*t^8.854 + (2*t^8.897)/g1^50 - 2*g1^18*t^8.917 - (g1^2*t^4.324)/y - (g1^28*t^6.538)/y - (g1^6*t^6.972)/y + (g1^20*t^7.241)/y - t^7.407/(g1^16*y) + (g1^16*t^7.593)/y + t^7.676/(g1^2*y) + (g1^30*t^7.862)/y + t^8.028/(g1^6*y) + t^8.111/(g1^24*y) + (g1^26*t^8.214)/y + (2*g1^8*t^8.296)/y + t^8.379/(g1^10*y) + (2*t^8.462)/(g1^28*y) + (g1^4*t^8.648)/y + (2*t^8.731)/(g1^14*y) - (g1^54*t^8.751)/y + (g1^36*t^8.834)/y + (g1^18*t^8.917)/y - g1^2*t^4.324*y - g1^28*t^6.538*y - g1^6*t^6.972*y + g1^20*t^7.241*y - (t^7.407*y)/g1^16 + g1^16*t^7.593*y + (t^7.676*y)/g1^2 + g1^30*t^7.862*y + (t^8.028*y)/g1^6 + (t^8.111*y)/g1^24 + g1^26*t^8.214*y + 2*g1^8*t^8.296*y + (t^8.379*y)/g1^10 + (2*t^8.462*y)/g1^28 + g1^4*t^8.648*y + (2*t^8.731*y)/g1^14 - g1^54*t^8.751*y + g1^36*t^8.834*y + g1^18*t^8.917*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 |
|---|---|---|---|---|---|---|---|---|
| 6090 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}^{2}$ + ${ }M_{6}X_{1}$ + ${ }M_{2}M_{9}$ | 0.6239 | 0.7798 | 0.8001 | [X:[1.4383], M:[0.6979, 1.0553, 0.9447, 0.8085, 1.1915, 0.5617, 1.0, 1.0553, 0.9447], q:[0.7744, 0.5276], qb:[0.2808, 0.6639], phi:[0.4383]] | t^2.094 + t^2.425 + t^2.63 + t^2.834 + t^3. + t^3.166 + t^3.575 + t^3.74 + t^4.149 + t^4.188 + t^4.315 + 2*t^4.481 + t^4.724 + t^4.889 + t^4.928 + t^5.055 + t^5.094 + t^5.221 + t^5.26 + t^5.298 + t^5.425 + t^5.464 + 2*t^5.63 + t^5.668 + t^5.796 + t^5.834 + t^5.961 - t^6. - t^4.315/y - t^4.315*y | detail | |
| 6091 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}^{2}$ + ${ }M_{6}X_{1}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6385 | 0.8058 | 0.7923 | [X:[1.4407], M:[0.7288, 1.0339, 0.9661, 0.7966, 1.2034, 0.5593, 1.0, 1.0339, 0.7627], q:[0.7543, 0.517], qb:[0.2797, 0.6864], phi:[0.4407]] | t^2.186 + t^2.288 + t^2.39 + t^2.644 + t^3. + 2*t^3.102 + t^3.61 + t^4.22 + t^4.322 + t^4.373 + 2*t^4.424 + t^4.474 + t^4.576 + t^4.678 + t^4.83 + 2*t^4.932 + t^5.034 + t^5.136 + t^5.186 + 2*t^5.288 + 3*t^5.39 + t^5.44 + t^5.492 + 2*t^5.644 + 2*t^5.746 + t^5.848 - 2*t^6. - t^4.322/y - t^4.322*y | detail | |
| 6089 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}^{2}$ + ${ }M_{6}X_{1}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.6096 | 0.7549 | 0.8074 | [X:[1.442], M:[0.7461, 1.022, 0.978, 0.79, 1.21, 0.558, 1.0, 1.022, 1.116], q:[0.743, 0.511], qb:[0.279, 0.699], phi:[0.442]] | t^2.238 + t^2.37 + t^3. + 2*t^3.066 + t^3.348 + t^3.63 + t^3.696 + t^4.26 + t^4.326 + 2*t^4.392 + t^4.476 + t^4.956 + t^5.088 + t^5.238 + t^5.37 + t^5.436 + t^5.52 + t^5.586 + t^5.652 + t^5.718 + t^5.784 - 2*t^6. - t^4.326/y - t^4.326*y | detail | |
| 6088 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}^{2}$ + ${ }M_{6}X_{1}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.618 | 0.7704 | 0.8023 | [X:[1.4375], M:[0.6875, 1.0625, 0.9375, 0.8125, 1.1875, 0.5625, 1.0, 1.0625], q:[0.7813, 0.5313], qb:[0.2813, 0.6563], phi:[0.4375]] | t^2.063 + t^2.438 + t^2.625 + t^3. + 2*t^3.188 + t^3.563 + t^3.75 + 2*t^4.125 + t^4.313 + 2*t^4.5 + t^4.688 + t^4.875 + 2*t^5.063 + 3*t^5.25 + t^5.438 + 3*t^5.625 + 2*t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail | {a: 81009/131072, c: 100977/131072, X1: 23/16, M1: 11/16, M2: 17/16, M3: 15/16, M4: 13/16, M5: 19/16, M6: 9/16, M7: 1, M8: 17/16, q1: 25/32, q2: 17/32, qb1: 9/32, qb2: 21/32, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2514 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ | 0.7304 | 0.9151 | 0.7981 | [M:[0.8825, 1.0292, 0.9708, 0.9408, 1.0592, 0.8525, 0.6696, 1.0292], q:[0.6029, 0.5146], qb:[0.4262, 0.5446], phi:[0.4779]] | t^2.009 + t^2.557 + t^2.648 + t^2.822 + t^2.867 + 2*t^3.087 + t^3.178 + t^4.018 + t^4.256 + t^4.346 + 2*t^4.521 + t^4.566 + t^4.611 + t^4.656 + t^4.701 + t^4.786 + t^4.831 + 2*t^4.876 + t^5.051 + 2*t^5.096 + t^5.115 + t^5.186 + t^5.205 + t^5.295 + t^5.38 + t^5.425 + t^5.515 + 2*t^5.645 + t^5.69 + 2*t^5.735 + t^5.91 + 2*t^5.955 - 3*t^6. - t^4.434/y - t^4.434*y | detail |