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 |
|---|---|---|---|---|---|---|---|---|---|
| 4368 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ + $ M_8q_1\tilde{q}_2$ | 0.6633 | 0.8395 | 0.7902 | [X:[], M:[0.7043, 1.0455, 1.2046, 1.1136, 0.7954, 0.8864, 0.7954, 1.0225], q:[0.5343, 0.7614], qb:[0.3522, 0.4432], phi:[0.4772]] | [X:[], M:[[-34], [12], [10], [-14], [-10], [14], [-10], [-38]], q:[[31], [3]], qb:[[-17], [7]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ M_7$, $ M_6$, $ M_8$, $ M_2$, $ M_4$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_5$, $ M_1M_7$, $ \phi_1q_1^2$, $ M_5^2$, $ M_1M_6$, $ M_5M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5M_6$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_8$, $ M_1M_2$, $ M_6^2$, $ \phi_1q_1q_2$, $ M_1M_4$, $ M_5M_8$, $ M_7M_8$, $ M_2M_5$, $ M_2M_7$, $ M_1\phi_1\tilde{q}_1^2$, $ M_4M_5$, $ M_4M_7$, $ M_6M_8$, $ M_2M_6$, $ M_5\phi_1\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ | . | -2 | t^2.11 + 2*t^2.39 + t^2.66 + t^3.07 + t^3.14 + t^3.34 + t^3.54 + t^3.82 + 2*t^4.09 + t^4.23 + t^4.36 + 2*t^4.5 + t^4.64 + 4*t^4.77 + 2*t^5.05 + t^5.18 + t^5.25 + t^5.32 + 2*t^5.45 + 2*t^5.52 + t^5.66 + t^5.73 + t^5.8 + 3*t^5.93 - 2*t^6. + t^6.13 + 5*t^6.2 - 2*t^6.27 + t^6.34 + t^6.41 + 5*t^6.48 - t^6.55 + 3*t^6.61 + 3*t^6.75 + 5*t^6.89 - t^6.95 + 2*t^7.02 + t^7.09 + 6*t^7.16 - t^7.23 + t^7.29 + t^7.3 + 2*t^7.36 + 3*t^7.43 + 2*t^7.57 + 4*t^7.64 + t^7.77 + 2*t^7.84 + 5*t^7.91 - t^7.98 + 3*t^8.04 - 2*t^8.11 + 4*t^8.18 + 8*t^8.32 - 7*t^8.39 + t^8.45 + 2*t^8.46 + 2*t^8.52 + 9*t^8.59 - 7*t^8.66 + 5*t^8.73 + t^8.79 + 8*t^8.86 - 4*t^8.93 - t^4.43/y - t^6.54/y - t^6.82/y + t^7.36/y + t^7.5/y + (2*t^7.77)/y + (3*t^8.05)/y + t^8.18/y + t^8.25/y + t^8.32/y + (3*t^8.45)/y + (2*t^8.52)/y + (3*t^8.73)/y + t^8.8/y + (2*t^8.93)/y - t^4.43*y - t^6.54*y - t^6.82*y + t^7.36*y + t^7.5*y + 2*t^7.77*y + 3*t^8.05*y + t^8.18*y + t^8.25*y + t^8.32*y + 3*t^8.45*y + 2*t^8.52*y + 3*t^8.73*y + t^8.8*y + 2*t^8.93*y | t^2.11/g1^34 + (2*t^2.39)/g1^10 + g1^14*t^2.66 + t^3.07/g1^38 + g1^12*t^3.14 + t^3.34/g1^14 + t^3.54/g1^40 + t^3.82/g1^16 + 2*g1^8*t^4.09 + t^4.23/g1^68 + g1^32*t^4.36 + (2*t^4.5)/g1^44 + g1^56*t^4.64 + (4*t^4.77)/g1^20 + 2*g1^4*t^5.05 + t^5.18/g1^72 + t^5.25/g1^22 + g1^28*t^5.32 + (2*t^5.45)/g1^48 + 2*g1^2*t^5.52 + t^5.66/g1^74 + t^5.73/g1^24 + g1^26*t^5.8 + (3*t^5.93)/g1^50 - 2*t^6. + t^6.13/g1^76 + (5*t^6.2)/g1^26 - 2*g1^24*t^6.27 + t^6.34/g1^102 + t^6.41/g1^52 + (5*t^6.48)/g1^2 - g1^48*t^6.55 + (3*t^6.61)/g1^78 + 3*g1^22*t^6.75 + (5*t^6.89)/g1^54 - t^6.95/g1^4 + 2*g1^46*t^7.02 + t^7.09/g1^80 + (6*t^7.16)/g1^30 - g1^20*t^7.23 + t^7.29/g1^106 + g1^70*t^7.3 + (2*t^7.36)/g1^56 + (3*t^7.43)/g1^6 + (2*t^7.57)/g1^82 + (4*t^7.64)/g1^32 + t^7.77/g1^108 + (2*t^7.84)/g1^58 + (5*t^7.91)/g1^8 - g1^42*t^7.98 + (3*t^8.04)/g1^84 - (2*t^8.11)/g1^34 + 4*g1^16*t^8.18 + t^8.25/g1^110 - g1^66*t^8.25 + (8*t^8.32)/g1^60 - (7*t^8.39)/g1^10 + t^8.45/g1^136 + 2*g1^40*t^8.46 + (2*t^8.52)/g1^86 + (9*t^8.59)/g1^36 - 7*g1^14*t^8.66 + (3*t^8.73)/g1^112 + 2*g1^64*t^8.73 + t^8.79/g1^62 + (8*t^8.86)/g1^12 - 4*g1^38*t^8.93 - t^4.43/(g1^6*y) - t^6.54/(g1^40*y) - t^6.82/(g1^16*y) + (g1^32*t^7.36)/y + t^7.5/(g1^44*y) + (2*t^7.77)/(g1^20*y) + (3*g1^4*t^8.05)/y + t^8.18/(g1^72*y) + t^8.25/(g1^22*y) + (g1^28*t^8.32)/y + (3*t^8.45)/(g1^48*y) + (2*g1^2*t^8.52)/y + (3*t^8.73)/(g1^24*y) + (g1^26*t^8.8)/y + (2*t^8.93)/(g1^50*y) - (t^4.43*y)/g1^6 - (t^6.54*y)/g1^40 - (t^6.82*y)/g1^16 + g1^32*t^7.36*y + (t^7.5*y)/g1^44 + (2*t^7.77*y)/g1^20 + 3*g1^4*t^8.05*y + (t^8.18*y)/g1^72 + (t^8.25*y)/g1^22 + g1^28*t^8.32*y + (3*t^8.45*y)/g1^48 + 2*g1^2*t^8.52*y + (3*t^8.73*y)/g1^24 + g1^26*t^8.8*y + (2*t^8.93*y)/g1^50 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5829 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ + $ M_8q_1\tilde{q}_2$ + $ M_4M_9$ | 0.6738 | 0.8564 | 0.7868 | [X:[], M:[0.7179, 1.0407, 1.2006, 1.1191, 0.7994, 0.8809, 0.7994, 1.0377, 0.8809], q:[0.5219, 0.7602], qb:[0.359, 0.4404], phi:[0.4796]] | t^2.15 + 2*t^2.4 + 2*t^2.64 + t^3.11 + t^3.12 + t^3.59 + t^3.84 + 2*t^4.08 + t^4.31 + t^4.33 + 2*t^4.55 + t^4.57 + 5*t^4.8 + 4*t^5.04 + t^5.27 + t^5.28 + 3*t^5.29 + t^5.51 + 2*t^5.52 + t^5.75 + 2*t^5.76 + 3*t^5.99 - 3*t^6. - t^4.44/y - t^4.44*y | detail | |
| 5828 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ + $ M_8q_1\tilde{q}_2$ + $ M_6M_9$ | 0.6533 | 0.8237 | 0.7931 | [X:[], M:[0.6905, 1.0504, 1.2087, 1.1079, 0.7913, 0.8921, 0.7913, 1.0071, 1.1079], q:[0.5469, 0.7626], qb:[0.3453, 0.4461], phi:[0.4748]] | t^2.07 + 2*t^2.37 + t^3.02 + t^3.15 + 2*t^3.32 + t^3.5 + t^3.8 + 2*t^4.1 + t^4.14 + t^4.4 + 2*t^4.45 + t^4.71 + 3*t^4.75 + t^5.09 + t^5.22 + 3*t^5.4 + 2*t^5.53 + t^5.57 + 2*t^5.7 + 3*t^5.87 - 3*t^6. - t^4.42/y - t^4.42*y | detail | |
| 5831 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ + $ M_8q_1\tilde{q}_2$ + $ M_9\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6832 | 0.8761 | 0.7798 | [X:[], M:[0.71, 1.0435, 1.2029, 1.1159, 0.7971, 0.8841, 0.7971, 1.0288, 0.7247], q:[0.5291, 0.7609], qb:[0.355, 0.4421], phi:[0.4782]] | t^2.13 + t^2.17 + 2*t^2.39 + t^2.65 + t^3.09 + t^3.13 + t^3.35 + t^3.56 + 2*t^4.09 + t^4.26 + t^4.3 + 2*t^4.35 + 2*t^4.52 + 2*t^4.57 + t^4.61 + 4*t^4.78 + t^4.83 + 2*t^5.04 + t^5.22 + 2*t^5.26 + 2*t^5.3 + 2*t^5.48 + 3*t^5.52 + t^5.69 + 2*t^5.74 + t^5.78 + 2*t^5.96 - 2*t^6. - t^4.43/y - t^4.43*y | detail | |
| 5830 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ + $ M_8q_1\tilde{q}_2$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.6797 | 0.8672 | 0.7838 | [X:[], M:[0.7308, 1.0362, 1.1968, 1.1245, 0.8032, 0.8755, 0.8032, 1.0521, 0.7873], q:[0.5101, 0.759], qb:[0.3654, 0.4378], phi:[0.4819]] | t^2.19 + t^2.36 + 2*t^2.41 + t^2.63 + t^3.11 + t^3.16 + t^3.37 + t^3.86 + 2*t^4.07 + t^4.29 + t^4.38 + t^4.51 + t^4.55 + 2*t^4.6 + t^4.72 + 2*t^4.77 + 4*t^4.82 + t^4.99 + 2*t^5.04 + t^5.25 + t^5.3 + t^5.35 + t^5.47 + 3*t^5.52 + 2*t^5.57 + 2*t^5.74 + t^5.78 - 2*t^6. - t^4.45/y - t^4.45*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2369 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ | 0.6675 | 0.845 | 0.79 | [X:[], M:[0.7452, 1.0311, 1.1926, 1.1304, 0.8074, 0.8696, 0.8074], q:[0.497, 0.7578], qb:[0.3726, 0.4348], phi:[0.4845]] | t^2.24 + 2*t^2.42 + t^2.61 + t^2.8 + t^3.09 + t^3.39 + t^3.69 + t^3.88 + 2*t^4.06 + t^4.25 + t^4.44 + t^4.47 + 2*t^4.66 + 4*t^4.84 + 3*t^5.03 + 3*t^5.22 + t^5.33 + t^5.4 + 2*t^5.52 + t^5.59 + t^5.7 + t^5.89 + t^5.92 - 2*t^6. - t^4.45/y - t^4.45*y | detail |