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 |
|---|---|---|---|---|---|---|---|---|---|
| 50873 | 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$ + $ M_2M_5$ + $ M_5M_6$ + $ \phi_1\tilde{q}_2^2$ | 0.661 | 0.8142 | 0.8118 | [X:[], M:[1.1599, 1.0344, 0.8401, 0.7713, 0.9656, 1.0344], q:[0.3856, 0.4544], qb:[0.58, 0.7743], phi:[0.4514]] | [X:[], M:[[-14], [22], [14], [-30], [-22], [22]], q:[[-15], [29]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ \phi_1^2$, $ M_2$, $ M_6$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_3M_4$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ M_2M_4$, $ M_4M_6$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_3M_6$, $ M_2\phi_1^2$, $ M_6\phi_1^2$, $ M_4\phi_1q_1^2$ | . | -2 | t^2.31 + t^2.52 + t^2.71 + 2*t^3.1 + t^3.48 + t^3.67 + t^3.87 + t^4.06 + t^4.08 + t^4.25 + t^4.46 + t^4.63 + 2*t^4.83 + t^5.02 + t^5.04 + t^5.23 + 2*t^5.42 + t^5.62 + 2*t^5.81 + t^5.98 - 2*t^6. + 2*t^6.19 + 2*t^6.21 + t^6.38 + t^6.39 + t^6.56 + t^6.58 + t^6.6 + 2*t^6.77 + t^6.79 + t^6.94 + t^6.98 + 2*t^7.15 + t^7.17 + 2*t^7.18 + 2*t^7.34 + t^7.35 - t^7.37 + 3*t^7.54 + 2*t^7.56 + 2*t^7.73 + t^7.75 + t^7.92 + 2*t^7.94 + t^7.96 + 2*t^8.13 + t^8.14 + t^8.16 + t^8.3 - 2*t^8.31 + t^8.33 + 2*t^8.5 + t^8.52 + t^8.54 + t^8.69 - t^8.71 + t^8.88 + 4*t^8.91 - t^4.35/y - t^6.67/y - t^7.06/y + t^7.25/y - t^7.46/y + t^7.65/y + t^7.83/y + t^8.02/y + t^8.04/y + t^8.23/y + (2*t^8.42)/y + (2*t^8.62)/y + t^8.79/y + (2*t^8.81)/y - t^4.35*y - t^6.67*y - t^7.06*y + t^7.25*y - t^7.46*y + t^7.65*y + t^7.83*y + t^8.02*y + t^8.04*y + t^8.23*y + 2*t^8.42*y + 2*t^8.62*y + t^8.79*y + 2*t^8.81*y | t^2.31/g1^30 + g1^14*t^2.52 + t^2.71/g1^4 + 2*g1^22*t^3.1 + t^3.48/g1^14 + t^3.67/g1^32 + g1^12*t^3.87 + t^4.06/g1^6 + g1^56*t^4.08 + t^4.25/g1^24 + g1^20*t^4.46 + t^4.63/g1^60 + (2*t^4.83)/g1^16 + t^5.02/g1^34 + g1^28*t^5.04 + g1^10*t^5.23 + (2*t^5.42)/g1^8 + g1^36*t^5.62 + 2*g1^18*t^5.81 + t^5.98/g1^62 - 2*t^6. + (2*t^6.19)/g1^18 + 2*g1^44*t^6.21 + t^6.38/g1^36 + g1^26*t^6.39 + t^6.56/g1^54 + g1^8*t^6.58 + g1^70*t^6.6 + (2*t^6.77)/g1^10 + g1^52*t^6.79 + t^6.94/g1^90 + g1^34*t^6.98 + (2*t^7.15)/g1^46 + g1^16*t^7.17 + 2*g1^78*t^7.18 + (2*t^7.34)/g1^64 + t^7.35/g1^2 - g1^60*t^7.37 + (3*t^7.54)/g1^20 + 2*g1^42*t^7.56 + (2*t^7.73)/g1^38 + g1^24*t^7.75 + t^7.92/g1^56 + 2*g1^6*t^7.94 + g1^68*t^7.96 + (2*t^8.13)/g1^12 + g1^50*t^8.14 + g1^112*t^8.16 + t^8.3/g1^92 - (2*t^8.31)/g1^30 + g1^32*t^8.33 + (2*t^8.5)/g1^48 + g1^14*t^8.52 + g1^76*t^8.54 + t^8.69/g1^66 - t^8.71/g1^4 + t^8.88/g1^84 + 4*g1^40*t^8.91 - t^4.35/(g1^2*y) - t^6.67/(g1^32*y) - t^7.06/(g1^6*y) + t^7.25/(g1^24*y) - (g1^20*t^7.46)/y + (g1^2*t^7.65)/y + t^7.83/(g1^16*y) + t^8.02/(g1^34*y) + (g1^28*t^8.04)/y + (g1^10*t^8.23)/y + (2*t^8.42)/(g1^8*y) + (2*g1^36*t^8.62)/y + t^8.79/(g1^44*y) + (2*g1^18*t^8.81)/y - (t^4.35*y)/g1^2 - (t^6.67*y)/g1^32 - (t^7.06*y)/g1^6 + (t^7.25*y)/g1^24 - g1^20*t^7.46*y + g1^2*t^7.65*y + (t^7.83*y)/g1^16 + (t^8.02*y)/g1^34 + g1^28*t^8.04*y + g1^10*t^8.23*y + (2*t^8.42*y)/g1^8 + 2*g1^36*t^8.62*y + (t^8.79*y)/g1^44 + 2*g1^18*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 |
|---|---|---|---|---|---|---|---|---|
| 56129 | $M_1q_1q_2$ + $ 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$ + $ M_2M_5$ + $ M_5M_6$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ | 0.661 | 0.8142 | 0.8118 | [X:[], M:[1.1613, 1.0323, 0.8387, 0.7742, 0.9677, 1.0323], q:[0.3871, 0.4516], qb:[0.5806, 0.7742], phi:[0.4516]] | t^2.32 + t^2.52 + t^2.71 + 2*t^3.1 + t^3.48 + t^3.68 + t^3.87 + 2*t^4.06 + t^4.26 + t^4.45 + t^4.65 + 2*t^4.84 + 2*t^5.03 + t^5.23 + 2*t^5.42 + t^5.61 + 2*t^5.81 - t^6. - t^4.35/y - t^4.35*y | detail | {a: 78765/119164, c: 24256/29791, M1: 36/31, M2: 32/31, M3: 26/31, M4: 24/31, M5: 30/31, M6: 32/31, q1: 12/31, q2: 14/31, qb1: 18/31, qb2: 24/31, phi1: 14/31} |
| 56128 | $M_1q_1q_2$ + $ 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$ + $ M_2M_5$ + $ M_5M_6$ + $ \phi_1\tilde{q}_2^2$ + $ M_4^2$ | 0.5877 | 0.7418 | 0.7922 | [X:[], M:[1.2667, 0.8667, 0.7333, 1.0, 1.1333, 0.8667], q:[0.5, 0.2333], qb:[0.6333, 0.7667], phi:[0.4667]] | t^2.2 + 2*t^2.6 + 2*t^2.8 + t^3. + t^3.6 + t^3.8 + t^4. + t^4.2 + 2*t^4.4 + 2*t^4.8 + 2*t^5. + 4*t^5.2 + 4*t^5.4 + 4*t^5.6 + 2*t^5.8 - 2*t^6. - t^4.4/y - t^4.4*y | detail | {a: 1763/3000, c: 4451/6000, M1: 19/15, M2: 13/15, M3: 11/15, M4: 1, M5: 17/15, M6: 13/15, q1: 1/2, q2: 7/30, qb1: 19/30, qb2: 23/30, phi1: 7/15} |
| 56132 | $M_1q_1q_2$ + $ 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$ + $ M_2M_5$ + $ M_5M_6$ + $ \phi_1\tilde{q}_2^2$ + $ M_7\phi_1q_1q_2$ | 0.6814 | 0.8529 | 0.7989 | [X:[], M:[1.1584, 1.0367, 0.8416, 0.7681, 0.9633, 1.0367, 0.7072], q:[0.384, 0.4575], qb:[0.5792, 0.7744], phi:[0.4512]] | t^2.12 + t^2.3 + t^2.52 + t^2.71 + 2*t^3.11 + t^3.48 + t^3.66 + t^4.06 + t^4.1 + 2*t^4.24 + t^4.43 + t^4.46 + t^4.61 + t^4.65 + 3*t^4.83 + t^5.01 + t^5.05 + 3*t^5.23 + 2*t^5.41 + t^5.6 + t^5.63 + t^5.78 + 2*t^5.82 + t^5.96 - 2*t^6. - t^4.35/y - t^4.35*y | detail | |
| 56131 | $M_1q_1q_2$ + $ 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$ + $ M_2M_5$ + $ M_5M_6$ + $ \phi_1\tilde{q}_2^2$ + $ M_7\phi_1q_1^2$ | 0.6793 | 0.8476 | 0.8014 | [X:[], M:[1.1681, 1.0215, 0.8319, 0.7889, 0.9785, 1.0215, 0.7585], q:[0.3944, 0.4374], qb:[0.5841, 0.7737], phi:[0.4526]] | t^2.28 + t^2.37 + t^2.5 + t^2.72 + 2*t^3.06 + t^3.5 + t^3.85 + t^3.98 + t^4.07 + t^4.29 + t^4.42 + t^4.55 + t^4.64 + t^4.73 + t^4.77 + 2*t^4.86 + 2*t^4.99 + t^5.08 + t^5.21 + 2*t^5.34 + 2*t^5.43 + t^5.56 + 3*t^5.78 - 2*t^6. - t^4.36/y - t^4.36*y | detail | |
| 56130 | $M_1q_1q_2$ + $ 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$ + $ M_2M_5$ + $ M_5M_6$ + $ \phi_1\tilde{q}_2^2$ + $ M_7\phi_1^2$ | 0.6522 | 0.7994 | 0.8159 | [X:[], M:[1.1619, 1.0313, 0.8381, 0.7755, 0.9687, 1.0313, 1.0966], q:[0.3878, 0.4503], qb:[0.581, 0.7741], phi:[0.4517]] | t^2.33 + t^2.51 + 2*t^3.09 + t^3.29 + t^3.49 + t^3.68 + t^3.87 + t^4.06 + t^4.07 + t^4.26 + t^4.45 + t^4.65 + 2*t^4.84 + t^5.03 + t^5.42 + t^5.61 + t^5.62 + t^5.8 - 2*t^6. - t^4.36/y - t^4.36*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48229 | 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$ + $ M_2M_5$ + $ M_5M_6$ | 0.6987 | 0.854 | 0.8182 | [X:[], M:[1.0329, 1.0279, 0.9671, 0.9112, 0.9721, 1.0279], q:[0.4556, 0.5115], qb:[0.5165, 0.5773], phi:[0.4848]] | t^2.73 + t^2.9 + t^2.91 + 2*t^3.08 + t^3.1 + t^3.28 + t^4.19 + t^4.36 + t^4.37 + t^4.52 + t^4.54 + 2*t^4.55 + t^4.72 + t^4.74 + t^4.92 + t^5.47 + t^5.64 + t^5.81 + t^5.82 + 3*t^5.99 - 3*t^6. - t^4.45/y - t^4.45*y | detail |