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 |
|---|---|---|---|---|---|---|---|---|---|
| 3028 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6q_1\tilde{q}_1$ + $ M_3M_6$ | 0.6299 | 0.7965 | 0.7908 | [X:[], M:[1.2727, 1.0303, 1.0909, 0.7273, 0.7273, 0.9091], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | [X:[], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 2515/3993, c: 6361/7986, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 8/11, M6: 10/11, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_2$, $ M_3$, $ q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_6$, $ M_5M_6$, $ \phi_1\tilde{q}_2^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_2M_4$, $ M_2M_5$, $ M_3M_4$, $ M_3M_5$, $ M_6^2$, $ M_6\phi_1^2$, $ M_4q_1q_2$, $ M_5q_1q_2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_2M_6$, $ \phi_1^4$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_5\phi_1q_2\tilde{q}_1$ | . | -1 | 2*t^2.18 + t^2.73 + t^2.91 + t^3.09 + t^3.27 + 2*t^3.45 + t^3.64 + t^4. + t^4.18 + 4*t^4.36 + 3*t^4.91 + 2*t^5.09 + t^5.27 + 2*t^5.45 + 5*t^5.64 + 3*t^5.82 - t^6. + 3*t^6.18 + 4*t^6.36 + 6*t^6.55 + t^6.73 + 2*t^6.91 + 7*t^7.09 + 3*t^7.27 + t^7.45 + 5*t^7.64 + 9*t^7.82 + 3*t^8. - 3*t^8.18 + 6*t^8.36 + 7*t^8.55 + 5*t^8.73 - t^8.91 - t^4.45/y - t^6.64/y + t^7.36/y + (2*t^7.91)/y + (2*t^8.09)/y + (3*t^8.27)/y + (2*t^8.45)/y + (5*t^8.64)/y + (2*t^8.82)/y - t^4.45*y - t^6.64*y + t^7.36*y + 2*t^7.91*y + 2*t^8.09*y + 3*t^8.27*y + 2*t^8.45*y + 5*t^8.64*y + 2*t^8.82*y | 2*t^2.18 + t^2.73 + t^2.91 + t^3.09 + t^3.27 + 2*t^3.45 + t^3.64 + t^4. + t^4.18 + 4*t^4.36 + 3*t^4.91 + 2*t^5.09 + t^5.27 + 2*t^5.45 + 5*t^5.64 + 3*t^5.82 - t^6. + 3*t^6.18 + 4*t^6.36 + 6*t^6.55 + t^6.73 + 2*t^6.91 + 7*t^7.09 + 3*t^7.27 + t^7.45 + 5*t^7.64 + 9*t^7.82 + 3*t^8. - 3*t^8.18 + 6*t^8.36 + 7*t^8.55 + 5*t^8.73 - t^8.91 - t^4.45/y - t^6.64/y + t^7.36/y + (2*t^7.91)/y + (2*t^8.09)/y + (3*t^8.27)/y + (2*t^8.45)/y + (5*t^8.64)/y + (2*t^8.82)/y - t^4.45*y - t^6.64*y + t^7.36*y + 2*t^7.91*y + 2*t^8.09*y + 3*t^8.27*y + 2*t^8.45*y + 5*t^8.64*y + 2*t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 4903 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6q_1\tilde{q}_1$ + $ M_3M_6$ + $ M_3M_7$ | 0.6382 | 0.8105 | 0.7874 | [X:[], M:[1.2727, 1.0303, 1.0909, 0.7273, 0.7273, 0.9091, 0.9091], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | 2*t^2.18 + 2*t^2.73 + t^2.91 + t^3.09 + 2*t^3.45 + t^3.64 + t^4. + t^4.18 + 4*t^4.36 + 5*t^4.91 + 2*t^5.09 + t^5.27 + 2*t^5.45 + 6*t^5.64 + 4*t^5.82 - 2*t^6. - t^4.45/y - t^4.45*y | detail | {a: 40771/63888, c: 25891/31944, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 8/11, M6: 10/11, M7: 10/11, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
| 4902 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6q_1\tilde{q}_1$ + $ M_3M_6$ + $ M_6M_7$ | 0.6215 | 0.7825 | 0.7943 | [X:[], M:[1.2727, 1.0303, 1.0909, 0.7273, 0.7273, 0.9091, 1.0909], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | 2*t^2.18 + t^2.91 + t^3.09 + 2*t^3.27 + 2*t^3.45 + t^3.64 + t^4. + t^4.18 + 4*t^4.36 + t^4.91 + 2*t^5.09 + t^5.27 + 3*t^5.45 + 4*t^5.64 + 2*t^5.82 - 2*t^6. - t^4.45/y - t^4.45*y | detail | {a: 39709/63888, c: 24997/31944, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 8/11, M6: 10/11, M7: 12/11, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1978 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6q_1\tilde{q}_1$ | 0.6701 | 0.8368 | 0.8008 | [X:[], M:[1.148, 1.0927, 0.9349, 0.852, 0.852, 0.7219], q:[0.7732, 0.3472], qb:[0.5049, 0.5602], phi:[0.4537]] | t^2.17 + 2*t^2.56 + t^2.72 + t^2.8 + t^3.28 + t^3.36 + t^3.92 + t^4. + t^4.08 + t^4.33 + t^4.39 + t^4.56 + 3*t^4.72 + t^4.89 + t^4.97 + 3*t^5.11 + 2*t^5.28 + t^5.36 + 2*t^5.44 + t^5.53 + t^5.61 + t^5.83 + 2*t^5.92 - 2*t^6. - t^4.36/y - t^4.36*y | detail |