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 |
|---|---|---|---|---|---|---|---|---|---|
| 5486 | 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_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_5M_7$ + $ M_4X_1$ | 0.5464 | 0.6956 | 0.7855 | [X:[1.4839], M:[0.7097, 1.0968, 1.2903, 0.5161, 0.8387, 0.7742, 1.1613], q:[0.5161, 0.7742], qb:[0.1935, 0.7097], phi:[0.4516]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 130227/238328, c: 20723/29791, X1: 46/31, M1: 22/31, M2: 34/31, M3: 40/31, M4: 16/31, M5: 26/31, M6: 24/31, M7: 36/31, 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_6$, $ M_5$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ M_2$, $ M_7$, $ M_3$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_6$, $ \phi_1q_1^2$, $ X_1$, $ M_1M_5$, $ M_6^2$, $ M_5M_6$, $ M_1\phi_1^2$, $ M_5^2$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_5\phi_1^2$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_1$, $ M_1M_2$, $ \phi_1^4$, $ M_5q_2\tilde{q}_1$, $ M_2M_6$, $ M_1M_7$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_2M_5$, $ M_6M_7$, $ q_2^2\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$ | . | 0 | t^2.13 + t^2.32 + t^2.52 + t^2.71 + t^2.9 + t^3.29 + t^3.48 + t^3.87 + t^4.06 + t^4.26 + 2*t^4.45 + 2*t^4.65 + 2*t^4.84 + 3*t^5.03 + 2*t^5.23 + 2*t^5.42 + 3*t^5.61 + t^5.81 + 2*t^6.19 + 2*t^6.39 + 2*t^6.58 + 3*t^6.77 + 3*t^6.97 + 4*t^7.16 + 3*t^7.35 + 3*t^7.55 + 5*t^7.74 + 4*t^7.94 + 2*t^8.13 + 2*t^8.32 + t^8.52 + 2*t^8.9 - t^4.35/y - t^6.68/y + t^7.45/y + t^7.65/y + (2*t^7.84)/y + (3*t^8.03)/y + (2*t^8.23)/y + (2*t^8.42)/y + (3*t^8.61)/y + (2*t^8.81)/y - t^4.35*y - t^6.68*y + t^7.45*y + t^7.65*y + 2*t^7.84*y + 3*t^8.03*y + 2*t^8.23*y + 2*t^8.42*y + 3*t^8.61*y + 2*t^8.81*y | t^2.13 + t^2.32 + t^2.52 + t^2.71 + t^2.9 + t^3.29 + t^3.48 + t^3.87 + t^4.06 + t^4.26 + 2*t^4.45 + 2*t^4.65 + 2*t^4.84 + 3*t^5.03 + 2*t^5.23 + 2*t^5.42 + 3*t^5.61 + t^5.81 + 2*t^6.19 + 2*t^6.39 + 2*t^6.58 + 3*t^6.77 + 3*t^6.97 + 4*t^7.16 + 3*t^7.35 + 3*t^7.55 + 5*t^7.74 + 4*t^7.94 + 2*t^8.13 + 2*t^8.32 + t^8.52 + 2*t^8.9 - t^4.35/y - t^6.68/y + t^7.45/y + t^7.65/y + (2*t^7.84)/y + (3*t^8.03)/y + (2*t^8.23)/y + (2*t^8.42)/y + (3*t^8.61)/y + (2*t^8.81)/y - t^4.35*y - t^6.68*y + t^7.45*y + t^7.65*y + 2*t^7.84*y + 3*t^8.03*y + 2*t^8.23*y + 2*t^8.42*y + 3*t^8.61*y + 2*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 |
|---|---|---|---|---|---|---|---|---|
| 6929 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_5M_7$ + $ M_4X_1$ + $ M_7M_8$ | 0.5604 | 0.7196 | 0.7787 | [X:[1.4839], M:[0.7097, 1.0968, 1.2903, 0.5161, 0.8387, 0.7742, 1.1613, 0.8387], q:[0.5161, 0.7742], qb:[0.1935, 0.7097], phi:[0.4516]] | t^2.13 + t^2.32 + 2*t^2.52 + t^2.71 + t^2.9 + t^3.29 + t^3.87 + t^4.06 + t^4.26 + 2*t^4.45 + 3*t^4.65 + 3*t^4.84 + 5*t^5.03 + 3*t^5.23 + 3*t^5.42 + 2*t^5.61 + t^5.81 - t^6. - t^4.35/y - t^4.35*y | detail | {a: 267099/476656, c: 171509/238328, X1: 46/31, M1: 22/31, M2: 34/31, M3: 40/31, M4: 16/31, M5: 26/31, M6: 24/31, M7: 36/31, M8: 26/31, q1: 16/31, q2: 24/31, qb1: 6/31, qb2: 22/31, phi1: 14/31} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3905 | 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_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6946 | 0.8898 | 0.7806 | [X:[], M:[0.8261, 1.058, 1.1739, 0.7101, 0.7029, 1.0651, 0.6958], q:[0.4095, 0.7645], qb:[0.4166, 0.5254], phi:[0.471]] | t^2.09 + t^2.11 + t^2.13 + t^2.48 + t^2.83 + t^3.17 + t^3.2 + t^3.52 + t^3.54 + t^3.87 + t^4.17 + t^4.2 + 3*t^4.22 + 2*t^4.24 + t^4.26 + 2*t^4.57 + t^4.59 + t^4.61 + t^4.91 + t^4.93 + 2*t^4.96 + t^5.26 + 2*t^5.28 + 3*t^5.3 + t^5.33 + t^5.61 + 2*t^5.63 + 3*t^5.65 + t^5.67 + t^5.96 - t^4.41/y - t^4.41*y | detail |