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 |
|---|---|---|---|---|---|---|---|---|---|
| 1037 | 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_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ | 0.6579 | 0.8085 | 0.8137 | [X:[], M:[1.1541, 1.1279, 0.8983, 1.0, 0.8459, 0.7442], q:[0.782, 0.4738], qb:[0.3721, 0.6279], phi:[0.436]] | [X:[], M:[[-3], [4], [-11], [0], [3], [-8]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ M_3$, $ M_4$, $ M_2$, $ M_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_6$, $ M_3M_6$, $ M_5^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_5$, $ M_4M_6$, $ M_3^2$, $ M_2M_6$, $ M_3M_4$, $ M_1M_6$, $ M_6\phi_1\tilde{q}_1^2$, $ M_2M_5$ | . | -1 | t^2.23 + t^2.54 + t^2.69 + t^3. + t^3.38 + t^3.46 + t^3.54 + t^3.85 + t^4.15 + t^4.23 + t^4.31 + t^4.47 + t^4.61 + t^4.77 + t^4.93 + 2*t^5.08 + t^5.23 + t^5.39 + t^5.62 + t^5.69 + t^5.77 + t^5.92 - t^6. + 2*t^6.08 + t^6.16 + t^6.24 - t^6.31 + 2*t^6.38 + 2*t^6.54 + t^6.69 + t^6.7 + 2*t^6.85 + t^6.92 + 2*t^7. + t^7.08 + t^7.15 + t^7.16 + 2*t^7.31 + t^7.39 + t^7.47 + 2*t^7.61 + t^7.62 + 2*t^7.69 + t^7.77 + 2*t^7.85 + t^7.93 + t^8. + t^8.01 + t^8.08 + t^8.15 - 2*t^8.23 + t^8.3 + 2*t^8.31 + t^8.39 + 2*t^8.46 + t^8.47 - 2*t^8.54 + 3*t^8.62 - 2*t^8.69 + t^8.76 + 2*t^8.77 - t^8.84 + t^8.85 + t^8.92 + 2*t^8.93 - t^4.31/y - t^6.54/y - t^7./y + t^7.61/y + t^7.77/y + t^7.93/y + t^8.08/y + (2*t^8.23)/y + t^8.54/y + t^8.62/y + (2*t^8.69)/y + t^8.92/y - t^4.31*y - t^6.54*y - t^7.*y + t^7.61*y + t^7.77*y + t^7.93*y + t^8.08*y + 2*t^8.23*y + t^8.54*y + t^8.62*y + 2*t^8.69*y + t^8.92*y | t^2.23/g1^8 + g1^3*t^2.54 + t^2.69/g1^11 + t^3. + g1^4*t^3.38 + t^3.46/g1^3 + t^3.54/g1^10 + g1*t^3.85 + g1^12*t^4.15 + g1^5*t^4.23 + t^4.31/g1^2 + t^4.47/g1^16 + g1^9*t^4.61 + t^4.77/g1^5 + t^4.93/g1^19 + 2*g1^6*t^5.08 + t^5.23/g1^8 + t^5.39/g1^22 + t^5.62/g1^4 + t^5.69/g1^11 + t^5.77/g1^18 + g1^7*t^5.92 - t^6. + (2*t^6.08)/g1^7 + t^6.16/g1^14 + t^6.24/g1^21 - g1^11*t^6.31 + 2*g1^4*t^6.38 + (2*t^6.54)/g1^10 + g1^15*t^6.69 + t^6.7/g1^24 + 2*g1*t^6.85 + t^6.92/g1^6 + (2*t^7.)/g1^13 + t^7.08/g1^20 + g1^12*t^7.15 + t^7.16/g1^27 + (2*t^7.31)/g1^2 + t^7.39/g1^9 + t^7.47/g1^16 + 2*g1^9*t^7.61 + t^7.62/g1^30 + 2*g1^2*t^7.69 + t^7.77/g1^5 + (2*t^7.85)/g1^12 + t^7.93/g1^19 + g1^13*t^8. + t^8.01/g1^26 + t^8.08/g1^33 + t^8.15/g1 - (2*t^8.23)/g1^8 + g1^24*t^8.3 + (2*t^8.31)/g1^15 + t^8.39/g1^22 + 2*g1^10*t^8.46 + t^8.47/g1^29 - 2*g1^3*t^8.54 + (3*t^8.62)/g1^4 - (2*t^8.69)/g1^11 + g1^21*t^8.76 + (2*t^8.77)/g1^18 - g1^14*t^8.84 + t^8.85/g1^25 + g1^7*t^8.92 + (2*t^8.93)/g1^32 - t^4.31/(g1^2*y) - t^6.54/(g1^10*y) - t^7./(g1^13*y) + (g1^9*t^7.61)/y + t^7.77/(g1^5*y) + t^7.93/(g1^19*y) + (g1^6*t^8.08)/y + (2*t^8.23)/(g1^8*y) + (g1^3*t^8.54)/y + t^8.62/(g1^4*y) + (2*t^8.69)/(g1^11*y) + (g1^7*t^8.92)/y - (t^4.31*y)/g1^2 - (t^6.54*y)/g1^10 - (t^7.*y)/g1^13 + g1^9*t^7.61*y + (t^7.77*y)/g1^5 + (t^7.93*y)/g1^19 + g1^6*t^8.08*y + (2*t^8.23*y)/g1^8 + g1^3*t^8.54*y + (t^8.62*y)/g1^4 + (2*t^8.69*y)/g1^11 + g1^7*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 1620 | $\phi_1q_1^2$ + $ 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_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ + $ M_1M_7$ | 0.6715 | 0.8316 | 0.8075 | [X:[], M:[1.1574, 1.1235, 0.9105, 1.0, 0.8426, 0.7531, 0.8426], q:[0.7809, 0.4661], qb:[0.3765, 0.6235], phi:[0.4383]] | t^2.26 + 2*t^2.53 + t^2.73 + t^3. + t^3.37 + t^3.57 + t^3.84 + t^4.11 + t^4.21 + t^4.31 + t^4.52 + t^4.58 + 2*t^4.79 + t^4.99 + 4*t^5.06 + 2*t^5.26 + t^5.46 + t^5.53 + t^5.63 + t^5.83 + 2*t^5.9 - 2*t^6. - t^4.31/y - t^4.31*y | detail | |
| 1612 | $\phi_1q_1^2$ + $ 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_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ + $ M_3M_4$ | 0.6497 | 0.7974 | 0.8147 | [X:[], M:[1.1818, 1.0909, 1.0, 1.0, 0.8182, 0.8182], q:[0.7727, 0.4091], qb:[0.4091, 0.5909], phi:[0.4545]] | 2*t^2.45 + 2*t^3. + t^3.27 + t^3.55 + 3*t^3.82 + t^4.09 + 2*t^4.36 + 4*t^4.91 + 2*t^5.45 + 2*t^5.73 - t^4.36/y - t^4.36*y | detail | {a: 3459/5324, c: 8491/10648, M1: 13/11, M2: 12/11, M3: 1, M4: 1, M5: 9/11, M6: 9/11, q1: 17/22, q2: 9/22, qb1: 9/22, qb2: 13/22, phi1: 5/11} |
| 1613 | $\phi_1q_1^2$ + $ 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_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ + $ M_3M_6$ | 0.6249 | 0.7697 | 0.812 | [X:[], M:[1.2105, 1.0526, 1.1053, 1.0, 0.7895, 0.8947], q:[0.7632, 0.3421], qb:[0.4474, 0.5526], phi:[0.4737]] | t^2.37 + t^2.68 + t^3. + t^3.16 + t^3.32 + t^3.47 + t^3.63 + t^3.79 + t^3.95 + 2*t^4.11 + t^4.42 + 2*t^4.74 + t^5.05 + t^5.37 + t^5.53 + 2*t^5.84 - t^4.42/y - t^4.42*y | detail | {a: 68583/109744, c: 84467/109744, M1: 23/19, M2: 20/19, M3: 21/19, M4: 1, M5: 15/19, M6: 17/19, q1: 29/38, q2: 13/38, qb1: 17/38, qb2: 21/38, phi1: 9/19} |
| 1617 | $\phi_1q_1^2$ + $ 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_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ + $ M_3M_7$ | 0.6511 | 0.7974 | 0.8166 | [X:[], M:[1.1698, 1.1069, 0.956, 1.0, 0.8302, 0.7862, 1.044], q:[0.7767, 0.4371], qb:[0.3931, 0.6069], phi:[0.4465]] | t^2.36 + t^2.49 + t^3. + t^3.13 + t^3.32 + t^3.51 + t^3.7 + t^3.83 + t^3.96 + t^4.15 + t^4.34 + t^4.47 + t^4.72 + t^4.85 + 2*t^4.98 + t^5.49 + t^5.62 + t^5.68 + t^5.81 - t^6. - t^4.34/y - t^4.34*y | detail | |
| 1614 | $\phi_1q_1^2$ + $ 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_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6562 | 0.8055 | 0.8146 | [X:[], M:[1.1667, 1.1111, 0.9444, 1.0, 0.8333, 0.7778], q:[0.7778, 0.4444], qb:[0.3889, 0.6111], phi:[0.4444]] | t^2.33 + t^2.5 + t^2.83 + t^3. + t^3.33 + t^3.5 + t^3.67 + t^3.83 + t^4. + t^4.17 + t^4.33 + t^4.5 + t^4.67 + t^4.83 + 2*t^5. + t^5.17 + t^5.33 + 2*t^5.67 + 2*t^5.83 - t^4.33/y - t^4.33*y | detail | {a: 13607/20736, c: 16703/20736, M1: 7/6, M2: 10/9, M3: 17/18, M4: 1, M5: 5/6, M6: 7/9, q1: 7/9, q2: 4/9, qb1: 7/18, qb2: 11/18, phi1: 4/9} |
| 1618 | $\phi_1q_1^2$ + $ 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_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.6781 | 0.8463 | 0.8012 | [X:[], M:[1.1537, 1.1284, 0.8968, 1.0, 0.8463, 0.7431, 0.7179], q:[0.7821, 0.4748], qb:[0.3716, 0.6284], phi:[0.4358]] | t^2.15 + t^2.23 + t^2.54 + t^2.69 + t^3. + t^3.39 + t^3.46 + t^3.54 + t^4.16 + t^4.23 + 2*t^4.31 + t^4.38 + t^4.46 + t^4.62 + t^4.69 + t^4.77 + t^4.84 + t^4.92 + 2*t^5.08 + t^5.15 + t^5.23 + t^5.38 + t^5.54 + 2*t^5.61 + 2*t^5.69 + t^5.77 + t^5.92 - t^6. - t^4.31/y - t^4.31*y | detail | |
| 1616 | $\phi_1q_1^2$ + $ 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_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6741 | 0.8369 | 0.8055 | [X:[], M:[1.1628, 1.1163, 0.9302, 1.0, 0.8372, 0.7674, 0.7907], q:[0.7791, 0.4535], qb:[0.3837, 0.6163], phi:[0.4419]] | t^2.3 + t^2.37 + t^2.51 + t^2.79 + t^3. + t^3.35 + t^3.49 + t^3.84 + t^4.05 + t^4.19 + t^4.33 + t^4.53 + t^4.6 + t^4.67 + t^4.74 + t^4.81 + t^4.88 + 2*t^5.02 + t^5.09 + t^5.16 + t^5.3 + t^5.37 + t^5.58 + t^5.65 + t^5.72 + t^5.79 + 2*t^5.86 - t^6. - t^4.33/y - t^4.33*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 651 | 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_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ | 0.6389 | 0.7739 | 0.8256 | [X:[], M:[1.1595, 1.1206, 0.9183, 1.0, 0.8405], q:[0.7802, 0.4611], qb:[0.3794, 0.6206], phi:[0.4397]] | t^2.52 + t^2.75 + t^3. + t^3.36 + t^3.48 + t^3.6 + t^3.72 + t^3.84 + t^4.09 + t^4.2 + t^4.32 + t^4.56 + 2*t^5.04 + t^5.51 + t^5.88 - t^6. - t^4.32/y - t^4.32*y | detail |