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 |
|---|---|---|---|---|---|---|---|---|---|
| 5783 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_2M_8$ + $ M_5X_1$ | 0.6658 | 0.8305 | 0.8016 | [X:[1.3636], M:[0.8182, 1.0909, 1.0, 1.1818, 0.6364, 0.8182, 0.8182, 0.9091], q:[0.5, 0.6818], qb:[0.3182, 0.6818], phi:[0.4545]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 7089/10648, c: 17687/21296, X1: 15/11, M1: 9/11, M2: 12/11, M3: 1, M4: 13/11, M5: 7/11, M6: 9/11, M7: 9/11, M8: 10/11, q1: 1/2, q2: 15/22, qb1: 7/22, qb2: 15/22, phi1: 5/11} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_6$, $ M_7$, $ M_8$, $ M_3$, $ q_2\tilde{q}_1$, $ M_2$, $ \phi_1q_1\tilde{q}_1$, $ X_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_6$, $ M_6^2$, $ M_1M_7$, $ M_6M_7$, $ M_7^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_8$, $ M_6M_8$, $ M_7M_8$, $ M_1M_3$, $ M_3M_6$, $ M_3M_7$, $ M_8^2$, $ \phi_1q_2^2$, $ M_6q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_2$, $ M_2M_6$, $ M_2M_7$, $ M_3M_8$, $ M_8q_2\tilde{q}_1$ | $q_2^2\tilde{q}_1^2$ | -2 | 3*t^2.45 + t^2.73 + 2*t^3. + t^3.27 + t^3.82 + t^4.09 + 3*t^4.36 + 6*t^4.91 + 3*t^5.18 + 7*t^5.45 + 5*t^5.73 - 2*t^6. + 3*t^6.27 + 7*t^6.82 + 3*t^7.09 + 9*t^7.36 + 6*t^7.64 + 11*t^7.91 + 13*t^8.18 - t^8.45 + 4*t^8.73 - t^4.36/y - (2*t^6.82)/y - t^7.09/y + t^7.64/y + (5*t^7.91)/y + (3*t^8.18)/y + (6*t^8.45)/y + (5*t^8.73)/y - t^4.36*y - 2*t^6.82*y - t^7.09*y + t^7.64*y + 5*t^7.91*y + 3*t^8.18*y + 6*t^8.45*y + 5*t^8.73*y | 3*t^2.45 + t^2.73 + 2*t^3. + t^3.27 + t^3.82 + t^4.09 + 3*t^4.36 + 6*t^4.91 + 3*t^5.18 + 7*t^5.45 + 5*t^5.73 - 2*t^6. + 3*t^6.27 + 7*t^6.82 + 3*t^7.09 + 9*t^7.36 + 6*t^7.64 + 11*t^7.91 + 13*t^8.18 - t^8.45 + 4*t^8.73 - t^4.36/y - (2*t^6.82)/y - t^7.09/y + t^7.64/y + (5*t^7.91)/y + (3*t^8.18)/y + (6*t^8.45)/y + (5*t^8.73)/y - t^4.36*y - 2*t^6.82*y - t^7.09*y + t^7.64*y + 5*t^7.91*y + 3*t^8.18*y + 6*t^8.45*y + 5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 4330 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.7323 | 0.9198 | 0.7962 | [X:[], M:[0.9203, 1.0399, 1.0, 1.0797, 0.8405, 0.9203, 0.9203, 0.6794], q:[0.5, 0.5797], qb:[0.4203, 0.5797], phi:[0.4801]] | t^2.04 + t^2.52 + 3*t^2.76 + 2*t^3. + t^3.12 + t^4.08 + t^4.2 + 3*t^4.44 + t^4.56 + 2*t^4.68 + 3*t^4.8 + 3*t^4.92 + 3*t^5.04 + t^5.16 + 3*t^5.28 + 6*t^5.52 + t^5.64 + 3*t^5.76 + 3*t^5.88 - 3*t^6. - t^4.44/y - t^4.44*y | detail |