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 |
|---|---|---|---|---|---|---|---|---|---|
| 47066 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5q_2\tilde{q}_1$ | 0.6598 | 0.8251 | 0.7997 | [X:[], M:[1.1553, 0.8894, 0.8447, 0.7106, 0.7553], q:[0.3553, 0.4894], qb:[0.7553, 0.8], phi:[0.4]] | [X:[], M:[[1], [-2], [-1], [2], [1]], q:[[1], [-2]], qb:[[1], [0]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_2$, $ \phi_1q_1^2$, $ M_1$, $ q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_4$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_3M_5$, $ \phi_1^4$, $ M_2M_5$, $ M_3\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ M_2\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ M_4\phi_1q_1^2$, $ M_1M_4$, $ M_5\phi_1q_1^2$, $ M_1M_5$, $ \phi_1^3q_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_1\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$ | . | -1 | t^2.13 + t^2.27 + t^2.4 + t^2.53 + t^2.67 + t^3.33 + t^3.47 + t^3.73 + t^4.14 + t^4.26 + t^4.4 + 3*t^4.53 + 3*t^4.67 + 2*t^4.8 + 3*t^4.93 + 2*t^5.07 + t^5.34 + t^5.46 + t^5.6 + 3*t^5.73 + 2*t^5.87 - t^6. + t^6.13 + t^6.27 + t^6.4 + t^6.53 + t^6.54 + 4*t^6.66 + t^6.67 + 5*t^6.8 + 4*t^6.93 + 5*t^7.07 + 3*t^7.2 + 2*t^7.33 + 4*t^7.47 + 3*t^7.6 + t^7.73 + 4*t^7.86 + t^7.87 + 5*t^8. + t^8.27 - 2*t^8.53 + t^8.66 - t^8.67 + 5*t^8.8 + 4*t^8.93 - t^4.2/y - t^6.33/y - t^6.47/y - t^6.6/y - t^6.87/y + t^7.4/y + (2*t^7.53)/y + (2*t^7.67)/y + (3*t^7.8)/y + (3*t^7.93)/y + (2*t^8.07)/y + t^8.2/y + t^8.6/y + (2*t^8.87)/y - t^4.2*y - t^6.33*y - t^6.47*y - t^6.6*y - t^6.87*y + t^7.4*y + 2*t^7.53*y + 2*t^7.67*y + 3*t^7.8*y + 3*t^7.93*y + 2*t^8.07*y + t^8.2*y + t^8.6*y + 2*t^8.87*y | g1^2*t^2.13 + g1*t^2.27 + t^2.4 + t^2.53/g1 + t^2.67/g1^2 + g1^2*t^3.33 + g1*t^3.47 + t^3.73/g1 + t^4.14/g1^4 + g1^4*t^4.26 + g1^3*t^4.4 + 3*g1^2*t^4.53 + 3*g1*t^4.67 + 2*t^4.8 + (3*t^4.93)/g1 + (2*t^5.07)/g1^2 + t^5.34/g1^4 + g1^4*t^5.46 + g1^3*t^5.6 + 3*g1^2*t^5.73 + 2*g1*t^5.87 - t^6. + t^6.13/g1 + t^6.27/g1^2 + g1^6*t^6.4 + g1^5*t^6.53 + t^6.54/g1^4 + 4*g1^4*t^6.66 + t^6.67/g1^5 + t^6.8/g1^6 + 4*g1^3*t^6.8 + 4*g1^2*t^6.93 + 5*g1*t^7.07 + 3*t^7.2 + (2*t^7.33)/g1 + (4*t^7.47)/g1^2 + (2*t^7.6)/g1^3 + g1^6*t^7.6 + g1^5*t^7.73 + 4*g1^4*t^7.86 + t^7.87/g1^5 + t^8./g1^6 + 4*g1^3*t^8. + t^8.27/g1^8 - (3*t^8.53)/g1 + g1^8*t^8.53 + g1^7*t^8.66 - t^8.67/g1^2 + t^8.8/g1^3 + 4*g1^6*t^8.8 + 4*g1^5*t^8.93 - t^4.2/y - (g1^2*t^6.33)/y - (g1*t^6.47)/y - t^6.6/y - t^6.87/(g1^2*y) + (g1^3*t^7.4)/y + (2*g1^2*t^7.53)/y + (2*g1*t^7.67)/y + (3*t^7.8)/y + (3*t^7.93)/(g1*y) + (2*t^8.07)/(g1^2*y) + t^8.2/(g1^3*y) + (g1^3*t^8.6)/y + (2*g1*t^8.87)/y - t^4.2*y - g1^2*t^6.33*y - g1*t^6.47*y - t^6.6*y - (t^6.87*y)/g1^2 + g1^3*t^7.4*y + 2*g1^2*t^7.53*y + 2*g1*t^7.67*y + 3*t^7.8*y + (3*t^7.93*y)/g1 + (2*t^8.07*y)/g1^2 + (t^8.2*y)/g1^3 + g1^3*t^8.6*y + 2*g1*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 55347 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5q_2\tilde{q}_1$ + $ M_1M_6$ | 0.6735 | 0.8485 | 0.7937 | [X:[], M:[1.1608, 0.8784, 0.8392, 0.7216, 0.7608, 0.8392], q:[0.3608, 0.4784], qb:[0.7608, 0.8], phi:[0.4]] | t^2.16 + t^2.28 + t^2.4 + 2*t^2.52 + t^2.64 + t^3.36 + t^3.72 + t^4.07 + t^4.33 + t^4.45 + 3*t^4.56 + 4*t^4.68 + 3*t^4.8 + 4*t^4.92 + 4*t^5.04 + t^5.15 + t^5.27 + t^5.53 + 2*t^5.76 + 2*t^5.88 - 2*t^6. - t^4.2/y - t^4.2*y | detail | |
| 55228 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ M_4X_1$ | 0.6209 | 0.7647 | 0.812 | [X:[1.4], M:[1.1, 1.0, 0.9, 0.6, 0.7], q:[0.3, 0.6], qb:[0.7, 0.8], phi:[0.4]] | t^2.1 + t^2.4 + t^2.7 + 2*t^3. + t^3.3 + t^3.9 + 3*t^4.2 + 2*t^4.5 + 2*t^4.8 + 3*t^5.1 + 5*t^5.4 + t^5.7 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 19869/32000, c: 24469/32000, X1: 7/5, M1: 11/10, M2: 1, M3: 9/10, M4: 3/5, M5: 7/10, q1: 3/10, q2: 3/5, qb1: 7/10, qb2: 4/5, phi1: 2/5} |
| 55241 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_6$ | 0.6396 | 0.787 | 0.8126 | [X:[], M:[1.1595, 0.8811, 0.8405, 0.7189, 0.7595, 1.2811], q:[0.3595, 0.4811], qb:[0.7595, 0.8], phi:[0.4]] | t^2.28 + t^2.4 + t^2.52 + t^2.64 + t^3.36 + t^3.48 + t^3.72 + t^3.84 + t^4.09 + 2*t^4.56 + 2*t^4.68 + t^4.8 + 3*t^4.92 + 2*t^5.04 + t^5.29 + 3*t^5.76 + t^5.88 - t^6. - t^4.2/y - t^4.2*y | detail | |
| 55154 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4^2$ + $ M_2X_1$ | 0.4947 | 0.626 | 0.7903 | [X:[1.4], M:[1.3, 0.6, 0.7, 1.0, 0.9], q:[0.5, 0.2], qb:[0.9, 0.8], phi:[0.4]] | t^2.1 + 2*t^2.4 + t^2.7 + t^3. + t^3.3 + 3*t^4.2 + 3*t^4.5 + 3*t^4.8 + 2*t^5.1 + 4*t^5.4 + 2*t^5.7 - 3*t^6. - t^4.2/y - t^4.2*y | detail | {a: 15831/32000, c: 20031/32000, X1: 7/5, M1: 13/10, M2: 3/5, M3: 7/10, M4: 1, M5: 9/10, q1: 1/2, q2: 1/5, qb1: 9/10, qb2: 4/5, phi1: 2/5} |
| 55045 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5M_6$ | 0.641 | 0.791 | 0.8104 | [X:[], M:[1.1587, 0.8826, 0.8413, 0.7174, 0.7587, 1.2413], q:[0.3587, 0.4826], qb:[0.7587, 0.8], phi:[0.4]] | t^2.15 + t^2.4 + t^2.52 + t^2.65 + t^3.35 + t^3.48 + 2*t^3.72 + t^4.1 + t^4.3 + 2*t^4.55 + 2*t^4.68 + t^4.8 + 2*t^4.92 + 2*t^5.05 + t^5.3 + t^5.5 + 2*t^5.75 + 3*t^5.88 - 2*t^6. - t^4.2/y - t^4.2*y | detail | |
| 55421 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5q_2\tilde{q}_1$ + $ M_6\phi_1^2$ | 0.6433 | 0.7961 | 0.8081 | [X:[], M:[1.1553, 0.8894, 0.8447, 0.7106, 0.7553, 1.2], q:[0.3553, 0.4894], qb:[0.7553, 0.8], phi:[0.4]] | t^2.13 + t^2.27 + t^2.53 + t^2.67 + t^3.33 + t^3.47 + t^3.6 + t^3.73 + t^4.14 + t^4.26 + t^4.4 + 2*t^4.53 + 2*t^4.67 + t^4.8 + 2*t^4.93 + t^5.07 + t^5.34 + t^5.46 + t^5.6 + 3*t^5.73 + 2*t^5.87 - t^6. - t^4.2/y - t^4.2*y | detail | |
| 55324 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5q_2\tilde{q}_1$ + $ M_6q_2\tilde{q}_1$ | 0.6787 | 0.8597 | 0.7895 | [X:[], M:[1.1521, 0.8959, 0.8479, 0.7041, 0.7521, 0.7521], q:[0.3521, 0.4959], qb:[0.7521, 0.8], phi:[0.4]] | t^2.11 + 2*t^2.26 + t^2.4 + t^2.54 + t^2.69 + t^3.31 + t^3.46 + t^4.18 + t^4.22 + 2*t^4.37 + 5*t^4.51 + 4*t^4.66 + 3*t^4.8 + 4*t^4.94 + 2*t^5.09 + t^5.38 + t^5.42 + 2*t^5.57 + 4*t^5.71 + t^5.86 - 2*t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46708 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ | 0.6816 | 0.8525 | 0.7995 | [X:[], M:[1.159, 1.0231, 0.841, 0.765, 0.712], q:[0.3825, 0.4585], qb:[0.5944, 0.7765], phi:[0.447]] | t^2.14 + t^2.3 + t^2.52 + t^2.68 + t^3.07 + t^3.16 + t^3.48 + t^3.64 + t^4.09 + t^4.11 + 2*t^4.27 + t^4.43 + t^4.5 + t^4.59 + t^4.66 + 2*t^4.82 + t^4.91 + t^4.98 + t^5.05 + 2*t^5.21 + t^5.29 + t^5.36 + t^5.45 + t^5.61 + t^5.68 + t^5.75 + t^5.77 + t^5.84 + t^5.93 - 2*t^6. - t^4.34/y - t^4.34*y | detail |