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 |
|---|---|---|---|---|---|---|---|---|---|
| 5059 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_7^2$ | 0.5703 | 0.7226 | 0.7892 | [X:[], M:[0.9375, 0.8125, 1.0625, 0.6875, 1.3125, 0.9375, 1.0], q:[0.6562, 0.4062], qb:[0.2812, 0.9062], phi:[0.4375]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 74745/131072, c: 94713/131072, M1: 15/16, M2: 13/16, M3: 17/16, M4: 11/16, M5: 21/16, M6: 15/16, M7: 1, q1: 21/32, q2: 13/32, qb1: 9/32, qb2: 29/32, phi1: 7/16} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ \phi_1^2$, $ M_1$, $ M_6$, $ M_7$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_5$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_4$, $ \phi_1q_1q_2$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_2^2$, $ M_1M_4$, $ M_4M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_7$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_2M_6$, $ \phi_1^4$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_7$, $ M_1\phi_1^2$, $ M_6\phi_1^2$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_6$, $ M_6^2$, $ M_7\phi_1^2$, $ M_1M_7$, $ M_6M_7$, $ M_4\phi_1q_2^2$ | $\phi_1^3q_2\tilde{q}_1$ | 0 | t^2.06 + t^2.44 + t^2.62 + 2*t^2.81 + t^3. + t^3.38 + t^3.75 + t^3.94 + t^4.12 + t^4.5 + 2*t^4.69 + 3*t^4.88 + 2*t^5.06 + 3*t^5.25 + 3*t^5.44 + 3*t^5.62 + 3*t^5.81 + 2*t^6.19 + t^6.38 + 2*t^6.56 + 2*t^6.75 + 2*t^6.94 + 2*t^7.12 + 3*t^7.31 + 5*t^7.5 + 6*t^7.69 + 5*t^7.88 + 3*t^8.06 + 4*t^8.25 + 2*t^8.44 + 3*t^8.62 - t^8.81 - t^4.31/y - t^6.75/y - t^6.94/y - t^7.12/y + (2*t^7.5)/y + (2*t^7.69)/y + (3*t^7.88)/y + (2*t^8.06)/y + (2*t^8.25)/y + (4*t^8.44)/y + (2*t^8.62)/y + (4*t^8.81)/y - t^4.31*y - t^6.75*y - t^6.94*y - t^7.12*y + 2*t^7.5*y + 2*t^7.69*y + 3*t^7.88*y + 2*t^8.06*y + 2*t^8.25*y + 4*t^8.44*y + 2*t^8.62*y + 4*t^8.81*y | t^2.06 + t^2.44 + t^2.62 + 2*t^2.81 + t^3. + t^3.38 + t^3.75 + t^3.94 + t^4.12 + t^4.5 + 2*t^4.69 + 3*t^4.88 + 2*t^5.06 + 3*t^5.25 + 3*t^5.44 + 3*t^5.62 + 3*t^5.81 + 2*t^6.19 + t^6.38 + 2*t^6.56 + 2*t^6.75 + 2*t^6.94 + 2*t^7.12 + 3*t^7.31 + 5*t^7.5 + 6*t^7.69 + 5*t^7.88 + 3*t^8.06 + 4*t^8.25 + 2*t^8.44 + 3*t^8.62 - t^8.81 - t^4.31/y - t^6.75/y - t^6.94/y - t^7.12/y + (2*t^7.5)/y + (2*t^7.69)/y + (3*t^7.88)/y + (2*t^8.06)/y + (2*t^8.25)/y + (4*t^8.44)/y + (2*t^8.62)/y + (4*t^8.81)/y - t^4.31*y - t^6.75*y - t^6.94*y - t^7.12*y + 2*t^7.5*y + 2*t^7.69*y + 3*t^7.88*y + 2*t^8.06*y + 2*t^8.25*y + 4*t^8.44*y + 2*t^8.62*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 |
|---|---|---|---|---|---|---|---|---|
| 6641 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_7^2$ + $ M_5M_8$ | 0.591 | 0.7628 | 0.7747 | [X:[], M:[0.9375, 0.8125, 1.0625, 0.6875, 1.3125, 0.9375, 1.0, 0.6875], q:[0.6562, 0.4062], qb:[0.2812, 0.9062], phi:[0.4375]] | 2*t^2.06 + t^2.44 + t^2.62 + 2*t^2.81 + t^3. + t^3.38 + t^3.75 + 3*t^4.12 + 2*t^4.5 + 3*t^4.69 + 5*t^4.88 + 3*t^5.06 + 3*t^5.25 + 4*t^5.44 + 3*t^5.62 + 4*t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 19365/32768, c: 24997/32768, M1: 15/16, M2: 13/16, M3: 17/16, M4: 11/16, M5: 21/16, M6: 15/16, M7: 1, M8: 11/16, q1: 21/32, q2: 13/32, qb1: 9/32, qb2: 29/32, phi1: 7/16} |
| 6639 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_7^2$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.5814 | 0.7416 | 0.784 | [X:[], M:[0.9375, 0.8125, 1.0625, 0.6875, 1.3125, 0.9375, 1.0, 0.875], q:[0.6562, 0.4062], qb:[0.2812, 0.9062], phi:[0.4375]] | t^2.06 + t^2.44 + 2*t^2.62 + 2*t^2.81 + t^3. + t^3.75 + t^3.94 + t^4.12 + t^4.5 + 3*t^4.69 + 3*t^4.88 + 3*t^5.06 + 5*t^5.25 + 4*t^5.44 + 4*t^5.62 + 2*t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 76209/131072, c: 97201/131072, M1: 15/16, M2: 13/16, M3: 17/16, M4: 11/16, M5: 21/16, M6: 15/16, M7: 1, M8: 7/8, q1: 21/32, q2: 13/32, qb1: 9/32, qb2: 29/32, phi1: 7/16} |
| 6640 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_7^2$ + $ M_8\phi_1q_2^2$ | 0.5893 | 0.7573 | 0.7782 | [X:[], M:[0.9375, 0.8125, 1.0625, 0.6875, 1.3125, 0.9375, 1.0, 0.75], q:[0.6562, 0.4062], qb:[0.2812, 0.9062], phi:[0.4375]] | t^2.06 + t^2.25 + t^2.44 + t^2.62 + 2*t^2.81 + t^3. + t^3.38 + t^3.94 + t^4.12 + t^4.31 + 2*t^4.5 + 3*t^4.69 + 4*t^4.88 + 4*t^5.06 + 4*t^5.25 + 3*t^5.44 + 4*t^5.62 + 2*t^5.81 - t^4.31/y - t^4.31*y | detail | {a: 77241/131072, c: 99257/131072, M1: 15/16, M2: 13/16, M3: 17/16, M4: 11/16, M5: 21/16, M6: 15/16, M7: 1, M8: 3/4, q1: 21/32, q2: 13/32, qb1: 9/32, qb2: 29/32, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3189 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.5978 | 0.762 | 0.7845 | [X:[], M:[1.0258, 0.6737, 0.9742, 0.7254, 1.2746, 1.0258, 0.7981], q:[0.6373, 0.3369], qb:[0.3885, 0.9378], phi:[0.4249]] | t^2.02 + t^2.18 + t^2.39 + t^2.55 + 2*t^3.08 + t^3.3 + t^3.45 + t^3.82 + t^4.04 + t^4.2 + t^4.35 + t^4.42 + 2*t^4.57 + 2*t^4.73 + t^4.79 + t^4.94 + 3*t^5.1 + 2*t^5.25 + t^5.32 + 3*t^5.47 + 2*t^5.63 + t^5.69 + 2*t^5.85 - t^6. - t^4.27/y - t^4.27*y | detail |