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 |
|---|---|---|---|---|---|---|---|---|---|
| 3987 | 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_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_5M_7$ + $ M_1M_3$ + $ M_7M_8$ | 0.6993 | 0.8591 | 0.814 | [X:[], M:[1.0171, 1.1478, 0.9829, 0.9829, 0.7216, 0.7216, 1.2784, 0.7216], q:[0.7869, 0.4914], qb:[0.4914, 0.5257], phi:[0.4261]] | [X:[], M:[[14], [4], [-14], [-14], [6], [6], [-6], [6]], q:[[1], [-7]], qb:[[-7], [21]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_8$, $ M_3$, $ M_4$, $ M_1$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ M_6M_8$, $ M_8^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_6$, $ M_4M_6$, $ M_3M_8$, $ M_4M_8$, $ M_1M_6$, $ M_1M_8$, $ M_2M_6$, $ M_2M_8$, $ M_3^2$, $ M_3M_4$, $ M_4^2$ | . | -3 | 2*t^2.16 + 2*t^2.95 + t^3.05 + t^3.44 + t^3.94 + 3*t^4.23 + 5*t^4.33 + t^4.43 + 4*t^5.11 + 2*t^5.22 + 2*t^5.61 + t^5.9 - 3*t^6. + t^6.1 + 6*t^6.39 + 8*t^6.49 + 2*t^6.6 - t^6.78 + t^6.99 + 4*t^7.18 + 7*t^7.28 + 5*t^7.38 + t^7.48 + 3*t^7.77 + t^7.88 - 7*t^8.16 + t^8.27 + t^8.37 + 5*t^8.45 + 11*t^8.56 + 13*t^8.66 + 5*t^8.76 + t^8.85 + t^8.87 - 9*t^8.95 - t^4.28/y - (2*t^6.44)/y - t^7.23/y + (2*t^7.33)/y + (6*t^8.11)/y + (2*t^8.22)/y - t^8.61/y + t^8.9/y - t^4.28*y - 2*t^6.44*y - t^7.23*y + 2*t^7.33*y + 6*t^8.11*y + 2*t^8.22*y - t^8.61*y + t^8.9*y | 2*g1^6*t^2.16 + (2*t^2.95)/g1^14 + g1^14*t^3.05 + g1^4*t^3.44 + g1^22*t^3.94 + (3*t^4.23)/g1^16 + 5*g1^12*t^4.33 + g1^40*t^4.43 + (4*t^5.11)/g1^8 + 2*g1^20*t^5.22 + 2*g1^10*t^5.61 + t^5.9/g1^28 - 3*t^6. + g1^28*t^6.1 + (6*t^6.39)/g1^10 + 8*g1^18*t^6.49 + 2*g1^46*t^6.6 - t^6.78/g1^20 + g1^36*t^6.99 + (4*t^7.18)/g1^30 + (7*t^7.28)/g1^2 + 5*g1^26*t^7.38 + g1^54*t^7.48 + 3*g1^16*t^7.77 + g1^44*t^7.88 - 7*g1^6*t^8.16 + g1^34*t^8.27 + g1^62*t^8.37 + (5*t^8.45)/g1^32 + (11*t^8.56)/g1^4 + 13*g1^24*t^8.66 + 5*g1^52*t^8.76 + t^8.85/g1^42 + g1^80*t^8.87 - (9*t^8.95)/g1^14 - t^4.28/(g1^2*y) - (2*g1^4*t^6.44)/y - t^7.23/(g1^16*y) + (2*g1^12*t^7.33)/y + (6*t^8.11)/(g1^8*y) + (2*g1^20*t^8.22)/y - (g1^10*t^8.61)/y + t^8.9/(g1^28*y) - (t^4.28*y)/g1^2 - 2*g1^4*t^6.44*y - (t^7.23*y)/g1^16 + 2*g1^12*t^7.33*y + (6*t^8.11*y)/g1^8 + 2*g1^20*t^8.22*y - g1^10*t^8.61*y + (t^8.9*y)/g1^28 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5519 | $\phi_1q_1^2$ + $ 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_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_5M_7$ + $ M_1M_3$ + $ M_7M_8$ + $ M_3M_9$ | 0.6986 | 0.8596 | 0.8127 | [X:[], M:[0.9976, 1.1422, 1.0024, 1.0024, 0.7133, 0.7133, 1.2867, 0.7133, 0.9976], q:[0.7855, 0.5012], qb:[0.5012, 0.4964], phi:[0.4289]] | 2*t^2.14 + 2*t^2.99 + t^3.01 + t^3.43 + t^3.85 + t^4.27 + 5*t^4.28 + 3*t^4.29 + 4*t^5.13 + 2*t^5.15 + 2*t^5.57 + 3*t^5.99 - 3*t^6. - t^4.29/y - t^4.29*y | detail | |
| 5520 | $\phi_1q_1^2$ + $ 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_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_5M_7$ + $ M_1M_3$ + $ M_7M_8$ + $ M_9q_1\tilde{q}_2$ | 0.7201 | 0.8995 | 0.8005 | [X:[], M:[1.0201, 1.1486, 0.9799, 0.9799, 0.7229, 0.7229, 1.2771, 0.7229, 0.6827], q:[0.7871, 0.49], qb:[0.49, 0.5301], phi:[0.4257]] | t^2.05 + 2*t^2.17 + 2*t^2.94 + t^3.06 + t^3.45 + t^4.1 + 5*t^4.22 + 5*t^4.34 + t^4.46 + 2*t^4.99 + 5*t^5.11 + 2*t^5.23 + t^5.49 + 2*t^5.61 + t^5.88 - 3*t^6. - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1599 | 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_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_5M_7$ + $ M_1M_3$ | 0.6793 | 0.8216 | 0.8268 | [X:[], M:[1.0198, 1.1485, 0.9802, 0.9802, 0.7228, 0.7228, 1.2772], q:[0.7871, 0.4901], qb:[0.4901, 0.5297], phi:[0.4257]] | t^2.17 + 2*t^2.94 + t^3.06 + t^3.45 + t^3.83 + t^3.95 + 3*t^4.22 + 3*t^4.34 + t^4.46 + 2*t^5.11 + t^5.23 + t^5.61 + t^5.88 - 2*t^6. - t^4.28/y - t^4.28*y | detail |