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 |
|---|---|---|---|---|---|---|---|---|---|
| 56712 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_7\phi_1\tilde{q}_2^2$ + $ M_4M_7$ + $ M_2X_1$ + $ \phi_1q_2^2$ + $ M_1X_2$ + $ M_6X_3$ | 0.5542 | 0.6678 | 0.8298 | [X:[1.4545, 1.5455, 1.5455], M:[0.4545, 0.5455, 1.0, 0.9091, 1.0, 0.4545, 1.0909], q:[0.7273, 0.8182], qb:[0.7273, 0.2727], phi:[0.3636]] | [X:[[0], [-1], [1]], M:[[1], [0], [-1], [0], [1], [-1], [0]], q:[[-1], [0]], qb:[[1], [0]], phi:[[0]]] | 1 | {a: 5901/10648, c: 7111/10648, X1: 16/11, X2: 17/11, X3: 17/11, M1: 5/11, M2: 6/11, M3: 1, M4: 10/11, M5: 1, M6: 5/11, M7: 12/11, q1: 8/11, q2: 9/11, qb1: 8/11, qb2: 3/11, phi1: 4/11} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_4$, $ M_3$, $ M_5$, $ M_7$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ X_1$, $ M_4\phi_1^2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_4^2$, $ M_7\phi_1^2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1^2$ | $M_3^2$, $ M_5^2$ | -1 | t^2.18 + t^2.73 + 2*t^3. + t^3.27 + 2*t^4.09 + 2*t^4.36 + t^4.91 + 2*t^5.18 + 4*t^5.45 - t^6. + 2*t^6.27 + 2*t^6.55 + t^7.09 + 2*t^7.36 + 6*t^7.64 - 2*t^7.91 + t^8.18 + 6*t^8.45 + t^8.73 - t^4.09/y - t^6.27/y + (2*t^7.91)/y + (2*t^8.18)/y + (2*t^8.73)/y - t^4.09*y - t^6.27*y + 2*t^7.91*y + 2*t^8.18*y + 2*t^8.73*y | t^2.18 + t^2.73 + t^3./g1 + g1*t^3. + t^3.27 + t^4.09/g1 + g1*t^4.09 + 2*t^4.36 + t^4.91 + t^5.18/g1 + g1*t^5.18 + 2*t^5.45 + t^5.45/g1^2 + g1^2*t^5.45 - t^6. + t^6.27/g1 + g1*t^6.27 + 2*t^6.55 + t^7.09 + t^7.36/g1 + g1*t^7.36 + 2*t^7.64 + (2*t^7.64)/g1^2 + 2*g1^2*t^7.64 - t^7.91/g1 - g1*t^7.91 - t^8.18 + t^8.18/g1^2 + g1^2*t^8.18 + t^8.45/g1^3 + (2*t^8.45)/g1 + 2*g1*t^8.45 + g1^3*t^8.45 + t^8.73 - t^4.09/y - t^6.27/y + (2*t^7.91)/y + t^8.18/(g1*y) + (g1*t^8.18)/y + t^8.73/(g1*y) + (g1*t^8.73)/y - t^4.09*y - t^6.27*y + 2*t^7.91*y + (t^8.18*y)/g1 + g1*t^8.18*y + (t^8.73*y)/g1 + 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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55046 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_7\phi_1\tilde{q}_2^2$ + $ M_4M_7$ + $ M_2X_1$ | 0.6852 | 0.8517 | 0.8045 | [X:[1.3319], M:[0.7815, 0.6681, 1.0, 1.1135, 1.0, 0.7815, 0.8865], q:[0.666, 0.5525], qb:[0.666, 0.334], phi:[0.4454]] | 2*t^2.34 + t^2.66 + t^2.67 + 2*t^3. + t^3.34 + 2*t^4. + 2*t^4.34 + t^4.65 + 3*t^4.69 + 2*t^4.99 + 2*t^5.02 + t^5.32 + 4*t^5.33 + 4*t^5.34 + 2*t^5.67 + 2*t^5.69 - 2*t^6. - t^4.34/y - t^4.34*y | detail |