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 |
|---|---|---|---|---|---|---|---|---|---|
| 3976 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_7^2$ | 0.592 | 0.7209 | 0.8212 | [X:[1.3125], M:[1.1875, 1.125, 1.0625, 0.8125, 0.6875, 0.9375, 1.0], q:[0.7812, 0.2812], qb:[0.5312, 0.6562], phi:[0.4375]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 77589/131072, c: 94485/131072, X1: 21/16, M1: 19/16, M2: 9/8, M3: 17/16, M4: 13/16, M5: 11/16, M6: 15/16, M7: 1, q1: 25/32, q2: 9/32, qb1: 17/32, qb2: 21/32, phi1: 7/16} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_7$, $ M_3$, $ M_2$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ X_1$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ \phi_1\tilde{q}_2^2$, $ M_4M_7$, $ M_3M_4$, $ M_6^2$, $ M_2M_4$, $ M_6M_7$ | . | 0 | t^2.44 + t^2.81 + t^3. + t^3.19 + t^3.38 + t^3.56 + t^3.75 + t^3.94 + t^4.12 + t^4.31 + t^4.5 + t^4.88 + t^5.25 + t^5.44 + t^5.62 + t^5.81 + 2*t^6.19 + t^6.38 + t^6.56 + 2*t^6.75 + 2*t^6.94 + 3*t^7.12 + 2*t^7.31 + 2*t^7.5 + 2*t^7.69 + 2*t^7.88 + 2*t^8.06 + 2*t^8.25 + t^8.44 + t^8.62 - t^4.31/y + t^8.25/y + t^8.44/y + t^8.62/y + (2*t^8.81)/y - t^4.31*y + t^8.25*y + t^8.44*y + t^8.62*y + 2*t^8.81*y | t^2.44 + t^2.81 + t^3. + t^3.19 + t^3.38 + t^3.56 + t^3.75 + t^3.94 + t^4.12 + t^4.31 + t^4.5 + t^4.88 + t^5.25 + t^5.44 + t^5.62 + t^5.81 + 2*t^6.19 + t^6.38 + t^6.56 + 2*t^6.75 + 2*t^6.94 + 3*t^7.12 + 2*t^7.31 + 2*t^7.5 + 2*t^7.69 + 2*t^7.88 + 2*t^8.06 + 2*t^8.25 + t^8.44 + t^8.62 - t^4.31/y + t^8.25/y + t^8.44/y + t^8.62/y + (2*t^8.81)/y - t^4.31*y + t^8.25*y + t^8.44*y + t^8.62*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 |
|---|---|---|---|---|---|---|---|---|
| 5510 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_7^2$ + $ M_1M_8$ | 0.6077 | 0.7483 | 0.8121 | [X:[1.3125], M:[1.1875, 1.125, 1.0625, 0.8125, 0.6875, 0.9375, 1.0, 0.8125], q:[0.7812, 0.2812], qb:[0.5312, 0.6562], phi:[0.4375]] | 2*t^2.44 + t^2.81 + t^3. + t^3.19 + t^3.38 + t^3.75 + t^3.94 + t^4.12 + t^4.31 + t^4.5 + 3*t^4.88 + 2*t^5.25 + 2*t^5.44 + 2*t^5.62 + 2*t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 39825/65536, c: 49041/65536, X1: 21/16, M1: 19/16, M2: 9/8, M3: 17/16, M4: 13/16, M5: 11/16, M6: 15/16, M7: 1, M8: 13/16, q1: 25/32, q2: 9/32, qb1: 17/32, qb2: 21/32, phi1: 7/16} |
| 5509 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_7^2$ + $ M_2M_8$ | 0.6031 | 0.7398 | 0.8152 | [X:[1.3125], M:[1.1875, 1.125, 1.0625, 0.8125, 0.6875, 0.9375, 1.0, 0.875], q:[0.7812, 0.2812], qb:[0.5312, 0.6562], phi:[0.4375]] | t^2.44 + t^2.62 + t^2.81 + t^3. + t^3.19 + t^3.56 + t^3.75 + t^3.94 + t^4.12 + t^4.31 + t^4.5 + t^4.88 + t^5.06 + 2*t^5.25 + 2*t^5.44 + 2*t^5.62 + t^5.81 - t^4.31/y - t^4.31*y | detail | {a: 79053/131072, c: 96973/131072, X1: 21/16, M1: 19/16, M2: 9/8, M3: 17/16, M4: 13/16, M5: 11/16, M6: 15/16, M7: 1, M8: 7/8, q1: 25/32, q2: 9/32, qb1: 17/32, qb2: 21/32, phi1: 7/16} |
| 5508 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_7^2$ + $ M_3M_8$ | 0.5977 | 0.7306 | 0.8182 | [X:[1.3125], M:[1.1875, 1.125, 1.0625, 0.8125, 0.6875, 0.9375, 1.0, 0.9375], q:[0.7812, 0.2812], qb:[0.5312, 0.6562], phi:[0.4375]] | t^2.44 + 2*t^2.81 + t^3. + t^3.38 + t^3.56 + t^3.75 + t^3.94 + t^4.12 + t^4.31 + t^4.5 + t^4.88 + 2*t^5.25 + t^5.44 + 2*t^5.62 + 2*t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 19587/32768, c: 23939/32768, X1: 21/16, M1: 19/16, M2: 9/8, M3: 17/16, M4: 13/16, M5: 11/16, M6: 15/16, M7: 1, M8: 15/16, q1: 25/32, q2: 9/32, qb1: 17/32, qb2: 21/32, phi1: 7/16} |
| 5507 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_7^2$ + $ M_6M_8$ | 0.5862 | 0.7112 | 0.8242 | [X:[1.3125], M:[1.1875, 1.125, 1.0625, 0.8125, 0.6875, 0.9375, 1.0, 1.0625], q:[0.7812, 0.2812], qb:[0.5312, 0.6562], phi:[0.4375]] | t^2.44 + t^3. + 2*t^3.19 + t^3.38 + t^3.56 + t^3.75 + t^3.94 + t^4.12 + t^4.31 + t^4.5 + t^4.88 + t^5.44 + t^5.62 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 38415/65536, c: 46607/65536, X1: 21/16, M1: 19/16, M2: 9/8, M3: 17/16, M4: 13/16, M5: 11/16, M6: 15/16, M7: 1, M8: 17/16, q1: 25/32, q2: 9/32, qb1: 17/32, qb2: 21/32, phi1: 7/16} |
| 5511 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_7^2$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.611 | 0.7555 | 0.8087 | [X:[1.3125], M:[1.1875, 1.125, 1.0625, 0.8125, 0.6875, 0.9375, 1.0, 0.75], q:[0.7812, 0.2812], qb:[0.5312, 0.6562], phi:[0.4375]] | t^2.25 + t^2.44 + t^2.81 + t^3. + t^3.19 + t^3.38 + t^3.56 + t^3.94 + t^4.12 + t^4.31 + 2*t^4.5 + t^4.69 + t^4.88 + t^5.06 + 2*t^5.25 + 2*t^5.44 + 2*t^5.62 + 2*t^5.81 - t^4.31/y - t^4.31*y | detail | {a: 80085/131072, c: 99029/131072, X1: 21/16, M1: 19/16, M2: 9/8, M3: 17/16, M4: 13/16, M5: 11/16, M6: 15/16, M7: 1, M8: 3/4, q1: 25/32, q2: 9/32, qb1: 17/32, qb2: 21/32, phi1: 7/16} |
| 5512 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_7^2$ + $ M_8X_1$ | 0.6127 | 0.7611 | 0.805 | [X:[1.3125], M:[1.1875, 1.125, 1.0625, 0.8125, 0.6875, 0.9375, 1.0, 0.6875], q:[0.7812, 0.2812], qb:[0.5312, 0.6562], phi:[0.4375]] | t^2.06 + t^2.44 + t^2.81 + t^3. + t^3.19 + t^3.38 + t^3.56 + t^3.75 + 2*t^4.12 + t^4.31 + 2*t^4.5 + 2*t^4.88 + t^5.06 + 2*t^5.25 + 2*t^5.44 + 2*t^5.62 + 2*t^5.81 - t^4.31/y - t^4.31*y | detail | {a: 5019/8192, c: 6235/8192, X1: 21/16, M1: 19/16, M2: 9/8, M3: 17/16, M4: 13/16, M5: 11/16, M6: 15/16, M7: 1, M8: 11/16, q1: 25/32, q2: 9/32, qb1: 17/32, qb2: 21/32, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1596 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ | 0.6555 | 0.806 | 0.8132 | [X:[1.3577], M:[1.0217, 1.0949, 1.168, 0.9783, 0.6423, 0.832, 0.7588], q:[0.7737, 0.3943], qb:[0.584, 0.4377], phi:[0.4526]] | t^2.28 + t^2.5 + t^2.93 + t^3.07 + t^3.28 + t^3.5 + t^3.63 + t^3.85 + t^3.98 + t^4.07 + t^4.29 + t^4.42 + t^4.55 + t^4.77 + t^4.86 + t^4.99 + t^5.21 + t^5.34 + t^5.56 + 2*t^5.78 + t^5.91 - t^6. - t^4.36/y - t^4.36*y | detail |