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 |
|---|---|---|---|---|---|---|---|---|---|
| 2162 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_1q_2$ + $ M_6\phi_1^2$ + $ M_1M_7$ | 0.6754 | 0.8294 | 0.8142 | [X:[], M:[1.0208, 1.1111, 0.9792, 0.757, 0.7985, 1.1111, 0.9792], q:[0.7778, 0.4237], qb:[0.5556, 0.4652], phi:[0.4444]] | [X:[], M:[[1], [0], [-1], [-1], [1], [0], [-1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_3$, $ M_7$, $ M_2$, $ M_6$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_5$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ M_3M_4$, $ M_4M_7$, $ M_3M_5$, $ M_5M_7$, $ M_2M_4$, $ M_4M_6$, $ M_2M_5$, $ M_5M_6$, $ M_3^2$, $ M_3M_7$, $ M_7^2$ | . | -3 | t^2.27 + t^2.4 + 2*t^2.94 + 2*t^3.33 + t^3.88 + 2*t^4. + t^4.12 + t^4.27 + t^4.4 + t^4.54 + 2*t^4.67 + t^4.79 + 2*t^5.21 + 2*t^5.33 + t^5.6 + t^5.73 + 2*t^5.88 - 3*t^6. - t^6.12 + t^6.15 + 5*t^6.27 + t^6.4 + t^6.52 + t^6.54 + 2*t^6.67 + t^6.79 + 3*t^6.81 + 3*t^6.94 + t^7.06 + t^7.19 + 2*t^7.21 + 2*t^7.33 + 2*t^7.48 + 3*t^7.6 + t^7.73 + t^7.75 + 2*t^7.88 + 2*t^8. + 2*t^8.12 + 3*t^8.15 + t^8.25 - t^8.27 - 4*t^8.4 + t^8.42 + 4*t^8.54 + 4*t^8.67 + 2*t^8.79 + 3*t^8.81 + t^8.92 - 4*t^8.94 - t^4.33/y - t^6.6/y - t^6.73/y + t^7./y - t^7.27/y + t^7.4/y + t^7.94/y + t^8.06/y + (2*t^8.21)/y + (2*t^8.33)/y + (2*t^8.6)/y + (2*t^8.73)/y - t^4.33*y - t^6.6*y - t^6.73*y + t^7.*y - t^7.27*y + t^7.4*y + t^7.94*y + t^8.06*y + 2*t^8.21*y + 2*t^8.33*y + 2*t^8.6*y + 2*t^8.73*y | t^2.27/g1 + g1*t^2.4 + (2*t^2.94)/g1 + 2*t^3.33 + t^3.88/g1^2 + 2*t^4. + g1^2*t^4.12 + t^4.27/g1 + g1*t^4.4 + t^4.54/g1^2 + 2*t^4.67 + g1^2*t^4.79 + (2*t^5.21)/g1^2 + 2*t^5.33 + t^5.6/g1 + g1*t^5.73 + (2*t^5.88)/g1^2 - 3*t^6. - g1^2*t^6.12 + t^6.15/g1^3 + (5*t^6.27)/g1 + g1*t^6.4 + g1^3*t^6.52 + t^6.54/g1^2 + 2*t^6.67 + g1^2*t^6.79 + (3*t^6.81)/g1^3 + (3*t^6.94)/g1 + g1*t^7.06 + g1^3*t^7.19 + (2*t^7.21)/g1^2 + 2*t^7.33 + (2*t^7.48)/g1^3 + (3*t^7.6)/g1 + g1*t^7.73 + t^7.75/g1^4 + (2*t^7.88)/g1^2 + 2*t^8. + 2*g1^2*t^8.12 + (3*t^8.15)/g1^3 + g1^4*t^8.25 - t^8.27/g1 - 4*g1*t^8.4 + t^8.42/g1^4 + (4*t^8.54)/g1^2 + 4*t^8.67 + 2*g1^2*t^8.79 + (3*t^8.81)/g1^3 + g1^4*t^8.92 - (4*t^8.94)/g1 - t^4.33/y - t^6.6/(g1*y) - (g1*t^6.73)/y + t^7./y - t^7.27/(g1*y) + (g1*t^7.4)/y + t^7.94/(g1*y) + (g1*t^8.06)/y + (2*t^8.21)/(g1^2*y) + (2*t^8.33)/y + (2*t^8.6)/(g1*y) + (2*g1*t^8.73)/y - t^4.33*y - (t^6.6*y)/g1 - g1*t^6.73*y + t^7.*y - (t^7.27*y)/g1 + g1*t^7.4*y + (t^7.94*y)/g1 + g1*t^8.06*y + (2*t^8.21*y)/g1^2 + 2*t^8.33*y + (2*t^8.6*y)/g1 + 2*g1*t^8.73*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 |
|---|---|---|---|---|---|---|---|---|
| 4136 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_1q_2$ + $ M_6\phi_1^2$ + $ M_1M_7$ + $ M_3^2$ | 0.6744 | 0.8272 | 0.8153 | [X:[], M:[1.0, 1.1111, 1.0, 0.7778, 0.7778, 1.1111, 1.0], q:[0.7778, 0.4444], qb:[0.5556, 0.4444], phi:[0.4444]] | 2*t^2.33 + 2*t^3. + 2*t^3.33 + 4*t^4. + 2*t^4.33 + 4*t^4.67 + 4*t^5.33 + 2*t^5.67 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 437/648, c: 67/81, M1: 1, M2: 10/9, M3: 1, M4: 7/9, M5: 7/9, M6: 10/9, M7: 1, q1: 7/9, q2: 4/9, qb1: 5/9, qb2: 4/9, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1124 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_1q_2$ + $ M_6\phi_1^2$ | 0.6744 | 0.8272 | 0.8153 | [X:[], M:[1.0, 1.1111, 1.0, 0.7778, 0.7778, 1.1111], q:[0.7778, 0.4444], qb:[0.5556, 0.4444], phi:[0.4444]] | 2*t^2.33 + 2*t^3. + 2*t^3.33 + 4*t^4. + 2*t^4.33 + 4*t^4.67 + 4*t^5.33 + 2*t^5.67 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 437/648, c: 67/81, M1: 1, M2: 10/9, M3: 1, M4: 7/9, M5: 7/9, M6: 10/9, q1: 7/9, q2: 4/9, qb1: 5/9, qb2: 4/9, phi1: 4/9} |