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 |
|---|---|---|---|---|---|---|---|---|---|
| 2629 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ | 0.6943 | 0.8765 | 0.7921 | [M:[1.0329, 0.7972, 1.0, 0.8302, 1.1698, 0.7123, 0.8302], q:[0.5684, 0.3986], qb:[0.4316, 0.7712], phi:[0.4575]] | [M:[[-22], [14], [0], [-8], [8], [10], [-8]], q:[[15], [7]], qb:[[-15], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -2 | t^2.137 + t^2.392 + 2*t^2.49 + t^2.745 + t^3. + t^3.099 + t^3.764 + t^3.962 + t^4.019 + 2*t^4.274 + t^4.373 + t^4.529 + 2*t^4.627 + 2*t^4.783 + 3*t^4.882 + 3*t^4.981 + 2*t^5.137 + 3*t^5.236 + t^5.392 + 3*t^5.49 + t^5.589 + t^5.745 + t^5.844 - 2*t^6. + t^6.099 + 2*t^6.156 + t^6.198 + t^6.255 + 2*t^6.411 + 2*t^6.452 + 2*t^6.51 - t^6.608 + 2*t^6.665 + t^6.707 + 5*t^6.764 + t^6.863 + 2*t^6.92 + 3*t^7.019 + t^7.061 + 3*t^7.118 + 2*t^7.175 - t^7.217 + 5*t^7.274 + 5*t^7.373 + 3*t^7.471 + 3*t^7.529 + 4*t^7.627 + 4*t^7.726 + t^7.783 + 2*t^7.882 + t^7.924 + 5*t^7.981 + t^8.038 + t^8.08 - 2*t^8.137 + 3*t^8.236 + t^8.293 + 3*t^8.335 - 3*t^8.392 - 4*t^8.49 + 4*t^8.548 + 3*t^8.589 + t^8.646 + t^8.688 - t^8.745 + 3*t^8.802 + t^8.844 + 3*t^8.901 + 4*t^8.943 - t^4.373/y - t^6.51/y - t^6.764/y - t^6.863/y - t^7.118/y + t^7.274/y - t^7.471/y + t^7.529/y + (3*t^7.627)/y + (4*t^7.882)/y + (2*t^7.981)/y + (2*t^8.137)/y + (4*t^8.236)/y + t^8.392/y + (3*t^8.49)/y + (2*t^8.589)/y - t^8.646/y + t^8.745/y + t^8.844/y - t^4.373*y - t^6.51*y - t^6.764*y - t^6.863*y - t^7.118*y + t^7.274*y - t^7.471*y + t^7.529*y + 3*t^7.627*y + 4*t^7.882*y + 2*t^7.981*y + 2*t^8.137*y + 4*t^8.236*y + t^8.392*y + 3*t^8.49*y + 2*t^8.589*y - t^8.646*y + t^8.745*y + t^8.844*y | g1^10*t^2.137 + g1^14*t^2.392 + (2*t^2.49)/g1^8 + t^2.745/g1^4 + t^3. + t^3.099/g1^22 + g1^12*t^3.764 + t^3.962/g1^32 + g1^16*t^4.019 + 2*g1^20*t^4.274 + t^4.373/g1^2 + g1^24*t^4.529 + 2*g1^2*t^4.627 + 2*g1^28*t^4.783 + 3*g1^6*t^4.882 + (3*t^4.981)/g1^16 + 2*g1^10*t^5.137 + (3*t^5.236)/g1^12 + g1^14*t^5.392 + (3*t^5.49)/g1^8 + t^5.589/g1^30 + t^5.745/g1^4 + t^5.844/g1^26 - 2*t^6. + t^6.099/g1^22 + 2*g1^26*t^6.156 + t^6.198/g1^44 + g1^4*t^6.255 + 2*g1^30*t^6.411 + (2*t^6.452)/g1^40 + 2*g1^8*t^6.51 - t^6.608/g1^14 + 2*g1^34*t^6.665 + t^6.707/g1^36 + 5*g1^12*t^6.764 + t^6.863/g1^10 + 2*g1^38*t^6.92 + 3*g1^16*t^7.019 + t^7.061/g1^54 + (3*t^7.118)/g1^6 + 2*g1^42*t^7.175 - t^7.217/g1^28 + 5*g1^20*t^7.274 + (5*t^7.373)/g1^2 + (3*t^7.471)/g1^24 + 3*g1^24*t^7.529 + 4*g1^2*t^7.627 + (4*t^7.726)/g1^20 + g1^28*t^7.783 + 2*g1^6*t^7.882 + t^7.924/g1^64 + (5*t^7.981)/g1^16 + g1^32*t^8.038 + t^8.08/g1^38 - 2*g1^10*t^8.137 + (3*t^8.236)/g1^12 + g1^36*t^8.293 + (3*t^8.335)/g1^34 - 3*g1^14*t^8.392 - (4*t^8.49)/g1^8 + 4*g1^40*t^8.548 + (3*t^8.589)/g1^30 + g1^18*t^8.646 + t^8.688/g1^52 - t^8.745/g1^4 + 3*g1^44*t^8.802 + t^8.844/g1^26 + 3*g1^22*t^8.901 + (4*t^8.943)/g1^48 - t^4.373/(g1^2*y) - (g1^8*t^6.51)/y - (g1^12*t^6.764)/y - t^6.863/(g1^10*y) - t^7.118/(g1^6*y) + (g1^20*t^7.274)/y - t^7.471/(g1^24*y) + (g1^24*t^7.529)/y + (3*g1^2*t^7.627)/y + (4*g1^6*t^7.882)/y + (2*t^7.981)/(g1^16*y) + (2*g1^10*t^8.137)/y + (4*t^8.236)/(g1^12*y) + (g1^14*t^8.392)/y + (3*t^8.49)/(g1^8*y) + (2*t^8.589)/(g1^30*y) - (g1^18*t^8.646)/y + t^8.745/(g1^4*y) + t^8.844/(g1^26*y) - (t^4.373*y)/g1^2 - g1^8*t^6.51*y - g1^12*t^6.764*y - (t^6.863*y)/g1^10 - (t^7.118*y)/g1^6 + g1^20*t^7.274*y - (t^7.471*y)/g1^24 + g1^24*t^7.529*y + 3*g1^2*t^7.627*y + 4*g1^6*t^7.882*y + (2*t^7.981*y)/g1^16 + 2*g1^10*t^8.137*y + (4*t^8.236*y)/g1^12 + g1^14*t^8.392*y + (3*t^8.49*y)/g1^8 + (2*t^8.589*y)/g1^30 - g1^18*t^8.646*y + (t^8.745*y)/g1^4 + (t^8.844*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4740 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7151 | 0.9177 | 0.7793 | [M:[1.0362, 0.7952, 1.0, 0.8313, 1.1687, 0.7108, 0.8313, 0.6747], q:[0.5663, 0.3976], qb:[0.4337, 0.7711], phi:[0.4578]] | t^2.024 + t^2.133 + t^2.386 + 2*t^2.494 + t^2.747 + t^3. + t^3.108 + t^3.759 + t^4.012 + t^4.048 + t^4.157 + 2*t^4.265 + t^4.373 + t^4.41 + 3*t^4.518 + 2*t^4.627 + 3*t^4.771 + 3*t^4.88 + 3*t^4.988 + t^5.024 + 3*t^5.133 + 3*t^5.241 + t^5.386 + 3*t^5.494 + t^5.602 + t^5.747 + t^5.783 + t^5.855 - 2*t^6. - t^4.373/y - t^4.373*y | detail | |
| 4738 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6866 | 0.8637 | 0.795 | [M:[1.0409, 0.7922, 1.0, 0.833, 1.167, 0.7087, 0.833, 1.0835], q:[0.563, 0.3961], qb:[0.437, 0.7709], phi:[0.4583]] | t^2.126 + t^2.377 + 2*t^2.499 + t^3. + t^3.123 + t^3.25 + t^3.751 + t^3.997 + t^4.002 + 2*t^4.252 + t^4.375 + t^4.503 + 2*t^4.625 + 2*t^4.753 + 2*t^4.876 + 3*t^4.998 + t^5.126 + t^5.249 + 2*t^5.377 + 2*t^5.499 + t^5.622 + t^5.627 + 2*t^5.75 - 2*t^6. - t^4.375/y - t^4.375*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1535 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6799 | 0.852 | 0.7981 | [M:[1.0457, 0.7891, 1.0, 0.8348, 1.1652, 0.7065], q:[0.5597, 0.3945], qb:[0.4403, 0.7706], phi:[0.4587]] | t^2.119 + t^2.367 + t^2.504 + t^2.752 + t^3. + t^3.137 + t^3.496 + t^3.743 + t^3.991 + t^4.018 + 2*t^4.239 + t^4.376 + t^4.487 + t^4.624 + 2*t^4.735 + 2*t^4.872 + t^5.009 + 2*t^5.119 + 2*t^5.257 + t^5.367 + 2*t^5.504 + t^5.615 + t^5.752 + t^5.863 + t^5.889 - t^6. - t^4.376/y - t^4.376*y | detail |