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 |
|---|---|---|---|---|---|---|---|---|---|
| 5004 | 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_5^2$ + $ M_2M_3$ + $ M_6\phi_1\tilde{q}_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_7\phi_1\tilde{q}_2^2$ + $ M_4M_7$ | 0.5645 | 0.7129 | 0.7918 | [X:[1.5625], M:[0.4375, 1.3125, 0.6875, 1.0625, 1.0, 0.8125, 0.9375], q:[0.9375, 0.625], qb:[0.375, 0.3125], phi:[0.4375]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 36993/65536, c: 46721/65536, X1: 25/16, M1: 7/16, M2: 21/16, M3: 11/16, M4: 17/16, M5: 1, M6: 13/16, M7: 15/16, q1: 15/16, q2: 5/8, qb1: 3/8, qb2: 5/16, phi1: 7/16} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_6$, $ \phi_1^2$, $ M_7$, $ M_5$, $ M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_6$, $ M_3\phi_1^2$, $ X_1$, $ M_6^2$, $ M_3M_7$, $ M_3M_5$, $ M_6\phi_1^2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_4$, $ M_6M_7$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_1$, $ M_5M_6$, $ M_7\phi_1^2$, $ M_3\phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ M_7^2$, $ M_5\phi_1^2$, $ M_5M_7$, $ M_4\phi_1^2$, $ M_3q_1\tilde{q}_2$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | 1 | t^2.06 + t^2.44 + t^2.62 + t^2.81 + t^3. + t^3.19 + t^3.38 + t^3.75 + t^3.94 + t^4.12 + t^4.5 + 2*t^4.69 + 2*t^4.88 + 2*t^5.06 + 3*t^5.25 + 2*t^5.44 + 2*t^5.62 + 3*t^5.81 + t^6. + 2*t^6.19 + 2*t^6.38 + 2*t^6.56 + t^6.75 + 2*t^6.94 + 3*t^7.12 + 3*t^7.31 + 3*t^7.5 + 4*t^7.69 + 5*t^7.88 + 2*t^8.06 + 3*t^8.25 + 2*t^8.44 + 2*t^8.62 + t^8.81 - t^4.31/y - t^6.75/y - t^6.94/y + t^7.5/y + (2*t^7.69)/y + (2*t^7.88)/y + (2*t^8.06)/y + (2*t^8.25)/y + (3*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^7.5*y + 2*t^7.69*y + 2*t^7.88*y + 2*t^8.06*y + 2*t^8.25*y + 3*t^8.44*y + 2*t^8.62*y + 4*t^8.81*y | t^2.06 + t^2.44 + t^2.62 + t^2.81 + t^3. + t^3.19 + t^3.38 + t^3.75 + t^3.94 + t^4.12 + t^4.5 + 2*t^4.69 + 2*t^4.88 + 2*t^5.06 + 3*t^5.25 + 2*t^5.44 + 2*t^5.62 + 3*t^5.81 + t^6. + 2*t^6.19 + 2*t^6.38 + 2*t^6.56 + t^6.75 + 2*t^6.94 + 3*t^7.12 + 3*t^7.31 + 3*t^7.5 + 4*t^7.69 + 5*t^7.88 + 2*t^8.06 + 3*t^8.25 + 2*t^8.44 + 2*t^8.62 + t^8.81 - t^4.31/y - t^6.75/y - t^6.94/y + t^7.5/y + (2*t^7.69)/y + (2*t^7.88)/y + (2*t^8.06)/y + (2*t^8.25)/y + (3*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^7.5*y + 2*t^7.69*y + 2*t^7.88*y + 2*t^8.06*y + 2*t^8.25*y + 3*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 |
|---|---|---|---|---|---|---|---|---|
| 6576 | $M_1q_1q_2$ + $ 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_5^2$ + $ M_2M_3$ + $ M_6\phi_1\tilde{q}_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_7\phi_1\tilde{q}_2^2$ + $ M_4M_7$ + $ M_7M_8$ | 0.5587 | 0.7032 | 0.7945 | [X:[1.5625], M:[0.4375, 1.3125, 0.6875, 1.0625, 1.0, 0.8125, 0.9375, 1.0625], q:[0.9375, 0.625], qb:[0.375, 0.3125], phi:[0.4375]] | t^2.06 + t^2.44 + t^2.62 + t^3. + 2*t^3.19 + t^3.38 + t^3.75 + t^3.94 + t^4.12 + t^4.5 + 2*t^4.69 + t^4.88 + 2*t^5.06 + 3*t^5.25 + t^5.44 + 2*t^5.62 + 3*t^5.81 - t^4.31/y - t^4.31*y | detail | {a: 73227/131072, c: 92171/131072, X1: 25/16, M1: 7/16, M2: 21/16, M3: 11/16, M4: 17/16, M5: 1, M6: 13/16, M7: 15/16, M8: 17/16, q1: 15/16, q2: 5/8, qb1: 3/8, qb2: 5/16, phi1: 7/16} |
| 6577 | $M_1q_1q_2$ + $ 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_5^2$ + $ M_2M_3$ + $ M_6\phi_1\tilde{q}_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_7\phi_1\tilde{q}_2^2$ + $ M_4M_7$ + $ M_8\phi_1\tilde{q}_1\tilde{q}_2$ | 0.5756 | 0.7319 | 0.7865 | [X:[1.5625], M:[0.4375, 1.3125, 0.6875, 1.0625, 1.0, 0.8125, 0.9375, 0.875], q:[0.9375, 0.625], qb:[0.375, 0.3125], phi:[0.4375]] | t^2.06 + t^2.44 + 2*t^2.62 + t^2.81 + t^3. + t^3.19 + t^3.75 + t^3.94 + t^4.12 + t^4.5 + 3*t^4.69 + 2*t^4.88 + 3*t^5.06 + 5*t^5.25 + 2*t^5.44 + 3*t^5.62 + 3*t^5.81 - t^4.31/y - t^4.31*y | detail | {a: 37725/65536, c: 47965/65536, X1: 25/16, M1: 7/16, M2: 21/16, M3: 11/16, M4: 17/16, M5: 1, M6: 13/16, M7: 15/16, M8: 7/8, q1: 15/16, q2: 5/8, qb1: 3/8, qb2: 5/16, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 3146 | 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_5^2$ + $ M_2M_3$ + $ M_6\phi_1\tilde{q}_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.6104 | 0.7697 | 0.793 | [X:[1.5916], M:[0.4084, 1.2253, 0.7747, 0.8591, 1.0, 0.9578, 0.676], q:[0.9084, 0.6831], qb:[0.3169, 0.4578], phi:[0.4084]] | t^2.03 + t^2.32 + t^2.45 + t^2.58 + t^2.87 + t^3. + t^3.55 + t^3.68 + t^4.06 + t^4.1 + t^4.35 + t^4.48 + t^4.61 + t^4.65 + 2*t^4.77 + 3*t^4.9 + 2*t^5.03 + t^5.15 + t^5.2 + 2*t^5.32 + t^5.45 + t^5.58 + t^5.7 + t^5.75 + t^5.87 - t^4.23/y - t^4.23*y | detail |