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 |
|---|---|---|---|---|---|---|---|---|---|
| 50984 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_6\phi_1q_1q_2$ | 0.6866 | 0.8604 | 0.798 | [X:[], M:[1.1704, 0.9776, 0.8296, 0.7803, 0.9283, 0.7309], q:[0.3901, 0.4395], qb:[0.6323, 0.7803], phi:[0.4395]] | [X:[], M:[[3], [-18], [-3], [2], [-13], [7]], q:[[1], [-4]], qb:[[17], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_4$, $ M_3$, $ \phi_1^2$, $ M_5$, $ M_2$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_3M_6$, $ M_3M_4$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_5M_6$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4M_5$, $ M_2M_6$, $ M_3\phi_1^2$, $ M_2M_4$, $ M_3M_5$, $ \phi_1^4$, $ M_2M_3$, $ M_5\phi_1^2$, $ M_5^2$, $ M_2\phi_1^2$, $ M_1M_6$, $ M_2M_5$, $ M_1M_4$, $ M_6\phi_1q_1^2$, $ M_2^2$ | . | -1 | t^2.19 + t^2.34 + t^2.49 + t^2.64 + t^2.78 + t^2.93 + t^3.51 + t^3.66 + t^3.96 + t^4.24 + 2*t^4.39 + 2*t^4.53 + 2*t^4.68 + 2*t^4.83 + 3*t^4.98 + t^5.11 + 3*t^5.13 + 2*t^5.27 + t^5.42 + 2*t^5.57 + t^5.7 + t^5.72 + t^5.85 + t^5.87 - t^6. + t^6.15 + 2*t^6.3 + t^6.43 + 2*t^6.44 + 2*t^6.58 + t^6.59 + 2*t^6.73 + 3*t^6.87 + t^6.89 + 4*t^7.02 + 5*t^7.17 + t^7.3 + 4*t^7.32 + t^7.45 + 5*t^7.47 + 4*t^7.61 + t^7.75 + 4*t^7.76 + t^7.9 + 5*t^7.91 + t^8.04 + 3*t^8.06 - 2*t^8.19 + 3*t^8.21 - 2*t^8.34 + 2*t^8.35 + 2*t^8.5 + 2*t^8.62 + t^8.65 + 3*t^8.77 - t^8.78 + t^8.8 + t^8.92 - t^8.93 - t^4.32/y - t^6.51/y - t^6.66/y - t^6.96/y - t^7.1/y - t^7.25/y + t^7.39/y + (2*t^7.53)/y + (2*t^7.68)/y + (2*t^7.83)/y + (3*t^7.98)/y + (4*t^8.13)/y + (2*t^8.27)/y + (2*t^8.42)/y + t^8.57/y + t^8.72/y + t^8.85/y - t^4.32*y - t^6.51*y - t^6.66*y - t^6.96*y - t^7.1*y - t^7.25*y + t^7.39*y + 2*t^7.53*y + 2*t^7.68*y + 2*t^7.83*y + 3*t^7.98*y + 4*t^8.13*y + 2*t^8.27*y + 2*t^8.42*y + t^8.57*y + t^8.72*y + t^8.85*y | g1^7*t^2.19 + g1^2*t^2.34 + t^2.49/g1^3 + t^2.64/g1^8 + t^2.78/g1^13 + t^2.93/g1^18 + g1^3*t^3.51 + t^3.66/g1^2 + t^3.96/g1^12 + g1^19*t^4.24 + 2*g1^14*t^4.39 + 2*g1^9*t^4.53 + 2*g1^4*t^4.68 + (2*t^4.83)/g1 + (3*t^4.98)/g1^6 + g1^30*t^5.11 + (3*t^5.13)/g1^11 + (2*t^5.27)/g1^16 + t^5.42/g1^21 + (2*t^5.57)/g1^26 + g1^10*t^5.7 + t^5.72/g1^31 + g1^5*t^5.85 + t^5.87/g1^36 - t^6. + t^6.15/g1^5 + (2*t^6.3)/g1^10 + g1^26*t^6.43 + (2*t^6.44)/g1^15 + 2*g1^21*t^6.58 + t^6.59/g1^20 + 2*g1^16*t^6.73 + 3*g1^11*t^6.87 + t^6.89/g1^30 + 4*g1^6*t^7.02 + 5*g1*t^7.17 + g1^37*t^7.3 + (4*t^7.32)/g1^4 + g1^32*t^7.45 + (5*t^7.47)/g1^9 + (4*t^7.61)/g1^14 + g1^22*t^7.75 + (4*t^7.76)/g1^19 + g1^17*t^7.9 + (5*t^7.91)/g1^24 + g1^12*t^8.04 + (3*t^8.06)/g1^29 - 2*g1^7*t^8.19 + (3*t^8.21)/g1^34 - 2*g1^2*t^8.34 + (2*t^8.35)/g1^39 + (2*t^8.5)/g1^44 + 2*g1^33*t^8.62 + t^8.65/g1^49 + 3*g1^28*t^8.77 - t^8.78/g1^13 + t^8.8/g1^54 + g1^23*t^8.92 - t^8.93/g1^18 - t^4.32/(g1^4*y) - (g1^3*t^6.51)/y - t^6.66/(g1^2*y) - t^6.96/(g1^12*y) - t^7.1/(g1^17*y) - t^7.25/(g1^22*y) + (g1^14*t^7.39)/y + (2*g1^9*t^7.53)/y + (2*g1^4*t^7.68)/y + (2*t^7.83)/(g1*y) + (3*t^7.98)/(g1^6*y) + (4*t^8.13)/(g1^11*y) + (2*t^8.27)/(g1^16*y) + (2*t^8.42)/(g1^21*y) + t^8.57/(g1^26*y) + t^8.72/(g1^31*y) + (g1^5*t^8.85)/y - (t^4.32*y)/g1^4 - g1^3*t^6.51*y - (t^6.66*y)/g1^2 - (t^6.96*y)/g1^12 - (t^7.1*y)/g1^17 - (t^7.25*y)/g1^22 + g1^14*t^7.39*y + 2*g1^9*t^7.53*y + 2*g1^4*t^7.68*y + (2*t^7.83*y)/g1 + (3*t^7.98*y)/g1^6 + (4*t^8.13*y)/g1^11 + (2*t^8.27*y)/g1^16 + (2*t^8.42*y)/g1^21 + (t^8.57*y)/g1^26 + (t^8.72*y)/g1^31 + g1^5*t^8.85*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 |
|---|---|---|---|---|---|---|---|---|
| 56204 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_6\phi_1q_1q_2$ + $ M_1M_7$ | 0.7013 | 0.8858 | 0.7917 | [X:[], M:[1.1717, 0.9701, 0.8283, 0.7811, 0.9228, 0.7339, 0.8283], q:[0.3906, 0.4378], qb:[0.6394, 0.7811], phi:[0.4378]] | t^2.2 + t^2.34 + 2*t^2.49 + t^2.63 + t^2.77 + t^2.91 + t^3.66 + t^3.94 + t^4.26 + 2*t^4.4 + 2*t^4.54 + 3*t^4.69 + 3*t^4.83 + 5*t^4.97 + 4*t^5.11 + t^5.15 + 3*t^5.25 + 2*t^5.4 + 2*t^5.54 + t^5.68 + t^5.82 - 2*t^6. - t^4.31/y - t^4.31*y | detail | |
| 56199 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_6\phi_1q_1q_2$ + $ M_2M_5$ | 0.6843 | 0.8577 | 0.7979 | [X:[], M:[1.1613, 1.0323, 0.8387, 0.7742, 0.9677, 0.7097], q:[0.3871, 0.4516], qb:[0.5806, 0.7742], phi:[0.4516]] | t^2.13 + t^2.32 + t^2.52 + t^2.71 + t^2.9 + t^3.1 + t^3.48 + t^3.68 + 2*t^4.06 + 2*t^4.26 + 2*t^4.45 + 2*t^4.65 + 3*t^4.84 + 3*t^5.03 + 3*t^5.23 + 2*t^5.42 + 2*t^5.61 + 3*t^5.81 - t^4.35/y - t^4.35*y | detail | {a: 163095/238328, c: 102209/119164, M1: 36/31, M2: 32/31, M3: 26/31, M4: 24/31, M5: 30/31, M6: 22/31, q1: 12/31, q2: 14/31, qb1: 18/31, qb2: 24/31, phi1: 14/31} |
| 56203 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_6\phi_1q_1q_2$ + $ M_2M_7$ | 0.6874 | 0.8631 | 0.7964 | [X:[], M:[1.1604, 1.0375, 0.8396, 0.7736, 0.9715, 0.7077, 0.9625], q:[0.3868, 0.4528], qb:[0.5757, 0.7736], phi:[0.4528]] | t^2.12 + t^2.32 + t^2.52 + t^2.72 + t^2.89 + t^2.91 + t^3.48 + t^3.68 + t^4.05 + t^4.07 + 2*t^4.25 + 2*t^4.44 + 2*t^4.64 + t^4.81 + 2*t^4.84 + t^5.01 + 3*t^5.04 + t^5.21 + 2*t^5.24 + t^5.41 + t^5.43 + 2*t^5.6 + t^5.78 + 2*t^5.8 + t^5.83 - t^6. - t^4.36/y - t^4.36*y | detail | |
| 56200 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_6\phi_1q_1q_2$ + $ M_2^2$ | 0.6862 | 0.8599 | 0.7981 | [X:[], M:[1.1667, 1.0, 0.8333, 0.7778, 0.9444, 0.7222], q:[0.3889, 0.4444], qb:[0.6111, 0.7778], phi:[0.4444]] | t^2.17 + t^2.33 + t^2.5 + t^2.67 + t^2.83 + t^3. + t^3.5 + t^3.67 + t^4. + t^4.17 + 2*t^4.33 + 2*t^4.5 + 2*t^4.67 + 2*t^4.83 + 4*t^5. + 3*t^5.17 + 2*t^5.33 + t^5.5 + 3*t^5.67 + 2*t^5.83 - t^4.33/y - t^4.33*y | detail | {a: 7115/10368, c: 8915/10368, M1: 7/6, M2: 1, M3: 5/6, M4: 7/9, M5: 17/18, M6: 13/18, q1: 7/18, q2: 4/9, qb1: 11/18, qb2: 7/9, phi1: 4/9} |
| 56201 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_6\phi_1q_1q_2$ + $ M_4M_7$ | 0.669 | 0.8291 | 0.8069 | [X:[], M:[1.171, 0.9737, 0.829, 0.7807, 0.9255, 0.7324, 1.2193], q:[0.3903, 0.4386], qb:[0.6359, 0.7807], phi:[0.4386]] | t^2.2 + t^2.49 + t^2.63 + t^2.78 + t^2.92 + t^3.51 + 2*t^3.66 + t^3.95 + t^4.25 + 2*t^4.39 + t^4.54 + t^4.68 + t^4.83 + 2*t^4.97 + 2*t^5.12 + t^5.13 + t^5.26 + t^5.41 + 2*t^5.55 + t^5.7 + t^5.71 + t^5.84 + t^5.86 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 56205 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_6\phi_1q_1q_2$ + $ M_7\phi_1q_1^2$ | 0.7043 | 0.8918 | 0.7897 | [X:[], M:[1.1698, 0.9814, 0.8302, 0.7798, 0.931, 0.7294, 0.7798], q:[0.3899, 0.4403], qb:[0.6287, 0.7798], phi:[0.4403]] | t^2.19 + 2*t^2.34 + t^2.49 + t^2.64 + t^2.79 + t^2.94 + t^3.51 + t^3.96 + t^4.23 + 2*t^4.38 + 3*t^4.53 + 4*t^4.68 + 3*t^4.83 + 4*t^4.98 + t^5.09 + 4*t^5.13 + 3*t^5.28 + t^5.43 + 2*t^5.59 + t^5.7 + t^5.74 + t^5.85 + t^5.89 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 56206 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_6\phi_1q_1q_2$ + $ M_7\phi_1q_2^2$ | 0.7074 | 0.9012 | 0.785 | [X:[], M:[1.1699, 0.9807, 0.8301, 0.7799, 0.9305, 0.7297, 0.6795], q:[0.39, 0.4402], qb:[0.6294, 0.7799], phi:[0.4402]] | t^2.04 + t^2.19 + t^2.34 + t^2.49 + t^2.64 + t^2.79 + t^2.94 + t^3.51 + t^3.66 + t^4.08 + 2*t^4.23 + 3*t^4.38 + 3*t^4.53 + 3*t^4.68 + 3*t^4.83 + 4*t^4.98 + t^5.1 + 3*t^5.13 + 2*t^5.28 + t^5.43 + t^5.55 + 2*t^5.58 + 2*t^5.7 + t^5.73 + t^5.85 + t^5.88 - t^6. - t^4.32/y - t^4.32*y | detail | |
| 56202 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_6\phi_1q_1q_2$ + $ M_7\phi_1^2$ | 0.6762 | 0.8429 | 0.8022 | [X:[], M:[1.1664, 1.0017, 0.8336, 0.7776, 0.9457, 0.7215, 1.1103], q:[0.3888, 0.4448], qb:[0.6095, 0.7776], phi:[0.4448]] | t^2.16 + t^2.33 + t^2.5 + t^2.84 + t^3.01 + t^3.33 + t^3.5 + t^3.67 + t^4. + t^4.16 + 2*t^4.33 + 2*t^4.5 + 2*t^4.67 + t^4.83 + t^4.99 + 2*t^5. + 2*t^5.17 + t^5.34 + t^5.5 + 2*t^5.66 + t^5.67 + 2*t^5.83 + t^5.84 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46948 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ | 0.6669 | 0.8242 | 0.8092 | [X:[], M:[1.1719, 0.9689, 0.8281, 0.7812, 0.922], q:[0.3906, 0.4375], qb:[0.6405, 0.7812], phi:[0.4375]] | t^2.34 + t^2.48 + t^2.63 + t^2.77 + t^2.91 + t^3.52 + t^3.66 + t^3.8 + t^3.94 + t^4.27 + t^4.41 + t^4.55 + t^4.69 + t^4.83 + 2*t^4.97 + 2*t^5.11 + t^5.16 + 2*t^5.25 + t^5.39 + 2*t^5.53 + t^5.67 + t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail |