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 |
|---|---|---|---|---|---|---|---|---|---|
| 253 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6567 | 0.8429 | 0.7791 | [X:[], M:[1.1526, 0.6948, 0.6737], q:[0.75, 0.4237], qb:[0.4237, 0.4026], phi:[0.5]] | [X:[], M:[[2], [-4], [-1]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2M_3$, $ M_2^2$, $ M_3q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_2\phi_1^2$, $ M_1M_3$, $ M_3q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_3q_1q_2$, $ M_3q_1\tilde{q}_1$, $ M_2q_1\tilde{q}_2$, $ M_2q_1q_2$, $ M_2q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $q_1q_2^2\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | 0 | t^2.02 + t^2.08 + 2*t^2.48 + t^3. + 2*t^3.46 + 2*t^3.52 + t^3.98 + 4*t^4.04 + t^4.11 + t^4.17 + 2*t^4.5 + 2*t^4.56 + 3*t^4.96 + t^5.02 + t^5.08 + 4*t^5.48 + 4*t^5.54 + 2*t^5.61 + 2*t^5.94 + 3*t^6.06 + 4*t^6.13 + t^6.19 + t^6.25 + 2*t^6.46 + 6*t^6.52 + 2*t^6.58 + 2*t^6.65 + 2*t^6.92 + 4*t^6.98 + 6*t^7.04 + t^7.11 + t^7.17 + 2*t^7.44 + 4*t^7.5 + 8*t^7.56 + 4*t^7.63 + 2*t^7.69 + 2*t^7.96 + t^8.02 + 7*t^8.08 + 3*t^8.15 + 4*t^8.21 + t^8.27 + t^8.34 + 2*t^8.42 - 2*t^8.48 + 4*t^8.54 + 6*t^8.61 + 2*t^8.67 + 2*t^8.73 + 3*t^8.94 - t^4.5/y - t^6.52/y - t^6.58/y + t^7.04/y + t^7.11/y + (2*t^7.5)/y + (2*t^7.56)/y + t^8.02/y + t^8.08/y + t^8.42/y + (5*t^8.48)/y + (3*t^8.54)/y + t^8.61/y - t^8.67/y + (4*t^8.94)/y - t^4.5*y - t^6.52*y - t^6.58*y + t^7.04*y + t^7.11*y + 2*t^7.5*y + 2*t^7.56*y + t^8.02*y + t^8.08*y + t^8.42*y + 5*t^8.48*y + 3*t^8.54*y + t^8.61*y - t^8.67*y + 4*t^8.94*y | t^2.02/g1 + t^2.08/g1^4 + 2*g1*t^2.48 + t^3. + 2*g1^2*t^3.46 + (2*t^3.52)/g1 + g1*t^3.98 + (4*t^4.04)/g1^2 + t^4.11/g1^5 + t^4.17/g1^8 + 2*t^4.5 + (2*t^4.56)/g1^3 + 3*g1^2*t^4.96 + t^5.02/g1 + t^5.08/g1^4 + 4*g1*t^5.48 + (4*t^5.54)/g1^2 + (2*t^5.61)/g1^5 + 2*g1^3*t^5.94 + (3*t^6.06)/g1^3 + (4*t^6.13)/g1^6 + t^6.19/g1^9 + t^6.25/g1^12 + 2*g1^2*t^6.46 + (6*t^6.52)/g1 + (2*t^6.58)/g1^4 + (2*t^6.65)/g1^7 + 2*g1^4*t^6.92 + 4*g1*t^6.98 + (6*t^7.04)/g1^2 + t^7.11/g1^5 + t^7.17/g1^8 + 2*g1^3*t^7.44 + 4*t^7.5 + (8*t^7.56)/g1^3 + (4*t^7.63)/g1^6 + (2*t^7.69)/g1^9 + 2*g1^2*t^7.96 + t^8.02/g1 + (7*t^8.08)/g1^4 + (3*t^8.15)/g1^7 + (4*t^8.21)/g1^10 + t^8.27/g1^13 + t^8.34/g1^16 + 2*g1^4*t^8.42 - 2*g1*t^8.48 + (4*t^8.54)/g1^2 + (6*t^8.61)/g1^5 + (2*t^8.67)/g1^8 + (2*t^8.73)/g1^11 + 3*g1^3*t^8.94 - t^4.5/y - t^6.52/(g1*y) - t^6.58/(g1^4*y) + t^7.04/(g1^2*y) + t^7.11/(g1^5*y) + (2*t^7.5)/y + (2*t^7.56)/(g1^3*y) + t^8.02/(g1*y) + t^8.08/(g1^4*y) + (g1^4*t^8.42)/y + (5*g1*t^8.48)/y + (3*t^8.54)/(g1^2*y) + t^8.61/(g1^5*y) - t^8.67/(g1^8*y) + (4*g1^3*t^8.94)/y - t^4.5*y - (t^6.52*y)/g1 - (t^6.58*y)/g1^4 + (t^7.04*y)/g1^2 + (t^7.11*y)/g1^5 + 2*t^7.5*y + (2*t^7.56*y)/g1^3 + (t^8.02*y)/g1 + (t^8.08*y)/g1^4 + g1^4*t^8.42*y + 5*g1*t^8.48*y + (3*t^8.54*y)/g1^2 + (t^8.61*y)/g1^5 - (t^8.67*y)/g1^8 + 4*g1^3*t^8.94*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 |
|---|---|---|---|---|---|---|---|---|
| 404 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ | 0.525 | 0.6875 | 0.7636 | [X:[], M:[0.9, 1.2, 0.8], q:[0.75, 0.55], qb:[0.55, 0.15], phi:[0.5]] | 2*t^2.1 + t^2.4 + 2*t^2.7 + t^3. + 2*t^3.6 + 2*t^3.9 + 3*t^4.2 + 2*t^4.5 + 6*t^4.8 + 4*t^5.1 + 3*t^5.4 + 4*t^5.7 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 21/40, c: 11/16, M1: 9/10, M2: 6/5, M3: 4/5, q1: 3/4, q2: 11/20, qb1: 11/20, qb2: 3/20, phi1: 1/2} |
| 405 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3M_4$ | 0.6359 | 0.8017 | 0.7932 | [X:[], M:[1.1522, 0.6956, 0.6739, 1.3261], q:[0.75, 0.4239], qb:[0.4239, 0.4022], phi:[0.5]] | t^2.09 + 2*t^2.48 + t^3. + 2*t^3.46 + 2*t^3.52 + 2*t^3.98 + 3*t^4.04 + t^4.17 + 2*t^4.57 + 3*t^4.96 + t^5.09 + 2*t^5.48 + 2*t^5.54 + 2*t^5.61 + 2*t^5.93 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 406 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6776 | 0.8842 | 0.7663 | [X:[], M:[1.153, 0.694, 0.6735, 0.6735], q:[0.75, 0.4235], qb:[0.4235, 0.403], phi:[0.5]] | 2*t^2.02 + t^2.08 + 2*t^2.48 + t^3. + 2*t^3.46 + 2*t^3.52 + 6*t^4.04 + 2*t^4.1 + t^4.16 + 4*t^4.5 + 2*t^4.56 + 3*t^4.96 + 2*t^5.02 + t^5.08 + 6*t^5.48 + 6*t^5.54 + 2*t^5.6 + 2*t^5.94 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 1757 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4q_1q_2$ | 0.6717 | 0.8683 | 0.7736 | [X:[], M:[1.1457, 0.7086, 0.6771, 0.8229], q:[0.75, 0.4271], qb:[0.4271, 0.3957], phi:[0.5]] | t^2.03 + t^2.13 + 3*t^2.47 + t^3. + 2*t^3.44 + t^3.53 + t^3.97 + 4*t^4.06 + t^4.16 + t^4.25 + 3*t^4.5 + 3*t^4.59 + 6*t^4.94 + t^5.03 + t^5.13 + 5*t^5.47 + 3*t^5.56 + t^5.66 + 4*t^5.91 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 160 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ | 0.6567 | 0.843 | 0.7791 | [X:[], M:[1.1525, 0.6949, 0.6728], q:[0.75, 0.4246], qb:[0.4228, 0.4025], phi:[0.5]] | t^2.02 + t^2.08 + 2*t^2.48 + t^3. + 2*t^3.46 + 2*t^3.52 + t^3.98 + 3*t^4.04 + t^4.05 + t^4.1 + t^4.17 + t^4.49 + t^4.5 + t^4.56 + t^4.57 + t^4.95 + 2*t^4.96 + t^5.02 + t^5.08 + 4*t^5.48 + 4*t^5.54 + t^5.6 + t^5.61 + t^5.93 + t^5.94 + t^5.99 - t^6. - t^4.5/y - t^4.5*y | detail |