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 |
|---|---|---|---|---|---|---|---|---|---|
| 3515 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_3$ + $ M_6q_1\tilde{q}_1$ | 0.6581 | 0.8435 | 0.7803 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897, 1.0345, 0.6897], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | [X:[], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 128409/195112, c: 41143/48778, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 30/29, M6: 20/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ q_2\tilde{q}_2$, $ M_1$, $ M_2$, $ M_5$, $ M_3$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_4$, $ M_1M_6$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_4$, $ M_4M_5$, $ M_2M_6$, $ M_5M_6$, $ M_1^2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ M_4\phi_1q_2^2$, $ M_6\phi_1q_2^2$, $ M_4q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_2$, $ M_1M_5$, $ M_4\phi_1q_2\tilde{q}_2$, $ M_6\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $\phi_1q_2^2\tilde{q}_2^2$ | -1 | 2*t^2.07 + t^2.28 + t^2.69 + 2*t^3.1 + t^3.31 + 2*t^3.52 + t^3.72 + 4*t^4.14 + 3*t^4.34 + t^4.55 + 3*t^4.76 + t^4.97 + 4*t^5.17 + 4*t^5.38 + 4*t^5.59 + 5*t^5.79 - t^6. + 8*t^6.21 + 6*t^6.41 + 4*t^6.62 + 8*t^6.83 + 3*t^7.03 + 7*t^7.24 + 7*t^7.45 + 8*t^7.66 + 9*t^7.86 - t^8.07 + 11*t^8.28 + 10*t^8.48 + 4*t^8.69 + 14*t^8.9 - t^4.45/y - (2*t^6.52)/y + t^7.14/y + (3*t^7.34)/y - t^7.55/y + (2*t^7.76)/y + t^7.97/y + (4*t^8.17)/y + (6*t^8.38)/y + (2*t^8.59)/y + (6*t^8.79)/y - t^4.45*y - 2*t^6.52*y + t^7.14*y + 3*t^7.34*y - t^7.55*y + 2*t^7.76*y + t^7.97*y + 4*t^8.17*y + 6*t^8.38*y + 2*t^8.59*y + 6*t^8.79*y | 2*t^2.07 + t^2.28 + t^2.69 + 2*t^3.1 + t^3.31 + 2*t^3.52 + t^3.72 + 4*t^4.14 + 3*t^4.34 + t^4.55 + 3*t^4.76 + t^4.97 + 4*t^5.17 + 4*t^5.38 + 4*t^5.59 + 5*t^5.79 - t^6. + 8*t^6.21 + 6*t^6.41 + 4*t^6.62 + 8*t^6.83 + 3*t^7.03 + 7*t^7.24 + 7*t^7.45 + 8*t^7.66 + 9*t^7.86 - t^8.07 + 11*t^8.28 + 10*t^8.48 + 4*t^8.69 + 14*t^8.9 - t^4.45/y - (2*t^6.52)/y + t^7.14/y + (3*t^7.34)/y - t^7.55/y + (2*t^7.76)/y + t^7.97/y + (4*t^8.17)/y + (6*t^8.38)/y + (2*t^8.59)/y + (6*t^8.79)/y - t^4.45*y - 2*t^6.52*y + t^7.14*y + 3*t^7.34*y - t^7.55*y + 2*t^7.76*y + t^7.97*y + 4*t^8.17*y + 6*t^8.38*y + 2*t^8.59*y + 6*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 5181 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_3$ + $ M_6q_1\tilde{q}_1$ + $ M_1M_7$ | 0.6487 | 0.8276 | 0.7839 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897, 1.0345, 0.6897, 1.1034], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | 2*t^2.07 + t^2.28 + 2*t^3.1 + 2*t^3.31 + 2*t^3.52 + t^3.72 + 4*t^4.14 + 3*t^4.34 + t^4.55 + t^4.76 + 4*t^5.17 + 5*t^5.38 + 5*t^5.59 + 3*t^5.79 - 2*t^6. - t^4.45/y - t^4.45*y | detail | {a: 253155/390224, c: 161479/195112, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 30/29, M6: 20/29, M7: 32/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
| 5182 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_3$ + $ M_6q_1\tilde{q}_1$ + $ M_3M_7$ | 0.6675 | 0.8593 | 0.7768 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897, 1.0345, 0.6897, 0.8966], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | 2*t^2.07 + t^2.28 + 2*t^2.69 + 2*t^3.1 + 2*t^3.52 + t^3.72 + 4*t^4.14 + 3*t^4.34 + t^4.55 + 5*t^4.76 + 2*t^4.97 + 4*t^5.17 + 4*t^5.38 + 3*t^5.59 + 7*t^5.79 - 2*t^6. - t^4.45/y - t^4.45*y | detail | {a: 260481/390224, c: 167665/195112, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 30/29, M6: 20/29, M7: 26/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
| 5185 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_3$ + $ M_6q_1\tilde{q}_1$ + $ M_7\phi_1q_2\tilde{q}_2$ | 0.6768 | 0.8772 | 0.7715 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897, 1.0345, 0.6897, 0.7586], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | 2*t^2.07 + 2*t^2.28 + t^2.69 + 2*t^3.1 + t^3.31 + 2*t^3.52 + 4*t^4.14 + 5*t^4.34 + 3*t^4.55 + 3*t^4.76 + 2*t^4.97 + 4*t^5.17 + 6*t^5.38 + 5*t^5.59 + 5*t^5.79 - 2*t^6. - t^4.45/y - t^4.45*y | detail | {a: 264105/390224, c: 171159/195112, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 30/29, M6: 20/29, M7: 22/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
| 5183 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_3$ + $ M_6q_1\tilde{q}_1$ + $ M_7\phi_1q_2^2$ | 0.6729 | 0.869 | 0.7743 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897, 1.0345, 0.6897, 0.8276], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | 2*t^2.07 + t^2.28 + t^2.48 + t^2.69 + 2*t^3.1 + t^3.31 + t^3.52 + t^3.72 + 4*t^4.14 + 3*t^4.34 + 3*t^4.55 + 4*t^4.76 + 2*t^4.97 + 5*t^5.17 + 4*t^5.38 + 4*t^5.59 + 5*t^5.79 - t^4.45/y - t^4.45*y | detail | {a: 262563/390224, c: 169547/195112, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 30/29, M6: 20/29, M7: 24/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2925 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_3$ | 0.6374 | 0.8034 | 0.7934 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897, 1.0345], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.07 + t^2.28 + t^2.69 + 2*t^3.1 + t^3.31 + 2*t^3.52 + t^3.72 + t^3.93 + 2*t^4.14 + 2*t^4.34 + t^4.55 + 2*t^4.76 + t^4.97 + 2*t^5.17 + 3*t^5.38 + 2*t^5.59 + 4*t^5.79 - t^4.45/y - t^4.45*y | detail | {a: 248745/390224, c: 156751/195112, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 30/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |