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 |
|---|---|---|---|---|---|---|---|---|---|
| 6765 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_6M_7$ + $ M_4X_1$ + $ M_8\phi_1^2$ | 0.54 | 0.6872 | 0.7858 | [X:[1.4839], M:[0.7097, 1.0968, 1.2903, 0.5161, 0.7097, 0.8387, 1.1613, 1.0968], q:[0.5161, 0.7742], qb:[0.1935, 0.7097], phi:[0.4516]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 257397/476656, c: 163775/238328, X1: 46/31, M1: 22/31, M2: 34/31, M3: 40/31, M4: 16/31, M5: 22/31, M6: 26/31, M7: 36/31, M8: 34/31, q1: 16/31, q2: 24/31, qb1: 6/31, qb2: 22/31, phi1: 14/31} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ M_6$, $ q_2\tilde{q}_1$, $ M_2$, $ M_8$, $ M_7$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ X_1$, $ M_1M_6$, $ M_5M_6$, $ M_6^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_5$, $ M_1M_8$, $ M_5M_8$, $ M_6q_2\tilde{q}_1$, $ M_1M_7$, $ M_5M_7$, $ \phi_1\tilde{q}_2^2$, $ M_2M_6$, $ M_6M_8$, $ q_2^2\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$ | . | -2 | 2*t^2.13 + t^2.52 + t^2.9 + 2*t^3.29 + t^3.48 + t^3.68 + t^4.06 + 3*t^4.26 + t^4.45 + 2*t^4.65 + 3*t^5.03 + 4*t^5.42 + 2*t^5.61 + 3*t^5.81 - 2*t^6. + 3*t^6.19 + 3*t^6.39 + 4*t^6.58 + 2*t^6.77 + 2*t^6.97 + 4*t^7.16 + 5*t^7.55 + 4*t^7.74 + 4*t^7.94 - 3*t^8.13 + 5*t^8.32 + t^8.52 + 6*t^8.71 - t^4.35/y - t^6.48/y + t^7.06/y + t^7.26/y + t^7.65/y + (2*t^8.03)/y + t^8.23/y + (5*t^8.42)/y + t^8.61/y + (4*t^8.81)/y - t^4.35*y - t^6.48*y + t^7.06*y + t^7.26*y + t^7.65*y + 2*t^8.03*y + t^8.23*y + 5*t^8.42*y + t^8.61*y + 4*t^8.81*y | 2*t^2.13 + t^2.52 + t^2.9 + 2*t^3.29 + t^3.48 + t^3.68 + t^4.06 + 3*t^4.26 + t^4.45 + 2*t^4.65 + 3*t^5.03 + 4*t^5.42 + 2*t^5.61 + 3*t^5.81 - 2*t^6. + 3*t^6.19 + 3*t^6.39 + 4*t^6.58 + 2*t^6.77 + 2*t^6.97 + 4*t^7.16 + 5*t^7.55 + 4*t^7.74 + 4*t^7.94 - 3*t^8.13 + 5*t^8.32 + t^8.52 + 6*t^8.71 - t^4.35/y - t^6.48/y + t^7.06/y + t^7.26/y + t^7.65/y + (2*t^8.03)/y + t^8.23/y + (5*t^8.42)/y + t^8.61/y + (4*t^8.81)/y - t^4.35*y - t^6.48*y + t^7.06*y + t^7.26*y + t^7.65*y + 2*t^8.03*y + t^8.23*y + 5*t^8.42*y + t^8.61*y + 4*t^8.81*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 |
|---|---|---|---|---|---|---|---|---|---|
| 5218 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_6M_7$ + $ M_4X_1$ | 0.5488 | 0.702 | 0.7817 | [X:[1.4839], M:[0.7097, 1.0968, 1.2903, 0.5161, 0.7097, 0.8387, 1.1613], q:[0.5161, 0.7742], qb:[0.1935, 0.7097], phi:[0.4516]] | 2*t^2.13 + t^2.52 + t^2.71 + t^2.9 + t^3.29 + t^3.48 + t^3.68 + t^4.06 + 3*t^4.26 + t^4.45 + 2*t^4.65 + 2*t^4.84 + 3*t^5.03 + t^5.23 + 3*t^5.42 + 3*t^5.61 + 2*t^5.81 - t^6. - t^4.35/y - t^4.35*y | detail | {a: 16350/29791, c: 83659/119164, X1: 46/31, M1: 22/31, M2: 34/31, M3: 40/31, M4: 16/31, M5: 22/31, M6: 26/31, M7: 36/31, q1: 16/31, q2: 24/31, qb1: 6/31, qb2: 22/31, phi1: 14/31} |