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 |
|---|---|---|---|---|---|---|---|---|---|
| 5382 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ q_2^2\tilde{q}_2^2$ + $ M_4M_6$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | 0.607 | 0.7614 | 0.7972 | [X:[1.5294], M:[0.4706, 1.1765, 0.7059, 1.0588, 0.9412, 0.9412, 0.7647], q:[0.7941, 0.7353], qb:[0.5588, 0.2647], phi:[0.4118]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 23859/39304, c: 3741/4913, X1: 26/17, M1: 8/17, M2: 20/17, M3: 12/17, M4: 18/17, M5: 16/17, M6: 16/17, M7: 13/17, q1: 27/34, q2: 25/34, qb1: 19/34, qb2: 9/34, phi1: 7/17} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_7$, $ \phi_1^2$, $ M_5$, $ M_6$, $ q_2\tilde{q}_2$, $ M_2$, $ q_1\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_7^2$, $ M_3\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ X_1$, $ M_7\phi_1^2$, $ M_3M_5$, $ M_3M_6$, $ \phi_1^4$, $ M_5M_7$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_7q_2\tilde{q}_2$, $ M_2M_3$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ \phi_1q_2^2$, $ M_2M_7$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$ | . | -1 | t^2.12 + t^2.29 + t^2.47 + 2*t^2.82 + t^3. + t^3.53 + t^4.06 + 2*t^4.24 + t^4.41 + 3*t^4.59 + t^4.76 + 3*t^4.94 + 3*t^5.12 + 3*t^5.29 + 4*t^5.65 + 2*t^5.82 - t^6. + 3*t^6.35 + 2*t^6.53 + t^6.71 + 3*t^6.88 + 7*t^7.06 + 2*t^7.24 + 5*t^7.41 + 4*t^7.59 + 4*t^7.76 + 3*t^7.94 + 4*t^8.12 - 2*t^8.29 + 4*t^8.47 + 5*t^8.65 - 3*t^8.82 - t^4.24/y - t^6.35/y - t^6.53/y - t^7.06/y + (2*t^7.41)/y + t^7.59/y + t^7.76/y + (3*t^7.94)/y + (4*t^8.12)/y + (3*t^8.29)/y + t^8.65/y + (2*t^8.82)/y - t^4.24*y - t^6.35*y - t^6.53*y - t^7.06*y + 2*t^7.41*y + t^7.59*y + t^7.76*y + 3*t^7.94*y + 4*t^8.12*y + 3*t^8.29*y + t^8.65*y + 2*t^8.82*y | t^2.12 + t^2.29 + t^2.47 + 2*t^2.82 + t^3. + t^3.53 + t^4.06 + 2*t^4.24 + t^4.41 + 3*t^4.59 + t^4.76 + 3*t^4.94 + 3*t^5.12 + 3*t^5.29 + 4*t^5.65 + 2*t^5.82 - t^6. + 3*t^6.35 + 2*t^6.53 + t^6.71 + 3*t^6.88 + 7*t^7.06 + 2*t^7.24 + 5*t^7.41 + 4*t^7.59 + 4*t^7.76 + 3*t^7.94 + 4*t^8.12 - 2*t^8.29 + 4*t^8.47 + 5*t^8.65 - 3*t^8.82 - t^4.24/y - t^6.35/y - t^6.53/y - t^7.06/y + (2*t^7.41)/y + t^7.59/y + t^7.76/y + (3*t^7.94)/y + (4*t^8.12)/y + (3*t^8.29)/y + t^8.65/y + (2*t^8.82)/y - t^4.24*y - t^6.35*y - t^6.53*y - t^7.06*y + 2*t^7.41*y + t^7.59*y + t^7.76*y + 3*t^7.94*y + 4*t^8.12*y + 3*t^8.29*y + t^8.65*y + 2*t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 6861 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ q_2^2\tilde{q}_2^2$ + $ M_4M_6$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3M_8$ | 0.5866 | 0.7226 | 0.8118 | [X:[1.5294], M:[0.4706, 1.1765, 0.7059, 1.0588, 0.9412, 0.9412, 0.7647, 1.2941], q:[0.7941, 0.7353], qb:[0.5588, 0.2647], phi:[0.4118]] | t^2.29 + t^2.47 + 2*t^2.82 + t^3. + t^3.53 + t^3.88 + t^4.06 + t^4.24 + 2*t^4.59 + t^4.76 + t^4.94 + 2*t^5.12 + 3*t^5.29 + 3*t^5.65 + 2*t^5.82 - t^6. - t^4.24/y - t^4.24*y | detail | {a: 46113/78608, c: 28403/39304, X1: 26/17, M1: 8/17, M2: 20/17, M3: 12/17, M4: 18/17, M5: 16/17, M6: 16/17, M7: 13/17, M8: 22/17, q1: 27/34, q2: 25/34, qb1: 19/34, qb2: 9/34, phi1: 7/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3803 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ q_2^2\tilde{q}_2^2$ + $ M_4M_6$ | 0.5886 | 0.7283 | 0.8082 | [X:[1.5294], M:[0.4706, 1.1765, 0.7059, 1.0588, 0.9412, 0.9412], q:[0.7941, 0.7353], qb:[0.5588, 0.2647], phi:[0.4118]] | t^2.12 + t^2.47 + 2*t^2.82 + t^3. + t^3.53 + t^3.71 + t^4.06 + 2*t^4.24 + 2*t^4.59 + 3*t^4.94 + t^5.12 + 2*t^5.29 + 4*t^5.65 + 2*t^5.82 - t^6. - t^4.24/y - t^4.24*y | detail | {a: 2892/4913, c: 28627/39304, X1: 26/17, M1: 8/17, M2: 20/17, M3: 12/17, M4: 18/17, M5: 16/17, M6: 16/17, q1: 27/34, q2: 25/34, qb1: 19/34, qb2: 9/34, phi1: 7/17} |