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 |
|---|---|---|---|---|---|---|---|---|---|
| 48195 | 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_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ | 0.6812 | 0.8512 | 0.8002 | [X:[], M:[0.8362, 1.0, 1.1638, 0.7701, 0.7213], q:[0.3851, 0.7787], qb:[0.6149, 0.4511], phi:[0.4425]] | [X:[], M:[[3], [0], [-3], [-8], [-1]], q:[[-4], [1]], qb:[[4], [7]], phi:[[-2]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ M_1$, $ \phi_1^2$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_2^2$, $ q_2\tilde{q}_1$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_1M_5$, $ M_1M_4$, $ M_5\phi_1^2$, $ \phi_1q_1q_2$, $ M_4\phi_1^2$, $ M_1^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_5$, $ M_1\phi_1^2$, $ M_2M_4$, $ \phi_1^4$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_3M_5$, $ M_2\phi_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ M_5\phi_1q_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1q_1^2$ | . | t^2.16 + t^2.31 + t^2.51 + t^2.66 + t^3. + t^3.2 + t^3.49 + t^3.64 + t^4.03 + t^4.18 + 2*t^4.33 + t^4.47 + t^4.53 + t^4.62 + t^4.67 + 2*t^4.82 + t^4.97 + 2*t^5.02 + 2*t^5.16 + t^5.31 + t^5.36 + t^5.51 + 2*t^5.66 + t^5.71 + t^5.8 + t^5.85 + t^5.95 - t^6. + t^6.15 + t^6.2 + t^6.29 + t^6.34 + t^6.4 + 2*t^6.49 + t^6.54 + 2*t^6.64 + 2*t^6.69 + t^6.78 + 2*t^6.84 + t^6.93 + 2*t^6.98 + t^7.03 + 2*t^7.13 + 2*t^7.18 + t^7.23 + 2*t^7.28 + 2*t^7.33 + 2*t^7.47 + 3*t^7.53 + t^7.62 + 3*t^7.67 + t^7.72 + 3*t^7.82 + 3*t^7.97 + t^8.02 + t^8.07 + t^8.11 - t^8.16 + 2*t^8.22 + t^8.26 + t^8.36 + t^8.46 + 2*t^8.56 + t^8.6 + 2*t^8.66 + t^8.71 + 2*t^8.8 + t^8.85 + t^8.91 + 2*t^8.95 - t^4.33/y - t^6.49/y - t^6.64/y - t^6.98/y + t^7.47/y + (2*t^7.67)/y + (2*t^7.82)/y + t^7.97/y + t^8.02/y + (3*t^8.16)/y + t^8.31/y + t^8.36/y + (2*t^8.51)/y + t^8.66/y + t^8.71/y + t^8.8/y + t^8.85/y - t^4.33*y - t^6.49*y - t^6.64*y - t^6.98*y + t^7.47*y + 2*t^7.67*y + 2*t^7.82*y + t^7.97*y + t^8.02*y + 3*t^8.16*y + t^8.31*y + t^8.36*y + 2*t^8.51*y + t^8.66*y + t^8.71*y + t^8.8*y + t^8.85*y | t^2.16/g1 + t^2.31/g1^8 + g1^3*t^2.51 + t^2.66/g1^4 + t^3. + g1^11*t^3.2 + t^3.49/g1^3 + t^3.64/g1^10 + g1^12*t^4.03 + g1^5*t^4.18 + (2*t^4.33)/g1^2 + t^4.47/g1^9 + g1^9*t^4.53 + t^4.62/g1^16 + g1^2*t^4.67 + (2*t^4.82)/g1^5 + t^4.97/g1^12 + 2*g1^6*t^5.02 + (2*t^5.16)/g1 + t^5.31/g1^8 + g1^10*t^5.36 + g1^3*t^5.51 + (2*t^5.66)/g1^4 + g1^14*t^5.71 + t^5.8/g1^11 + g1^7*t^5.85 + t^5.95/g1^18 - t^6. + t^6.15/g1^7 + g1^11*t^6.2 + t^6.29/g1^14 + g1^4*t^6.34 + g1^22*t^6.4 + (2*t^6.49)/g1^3 + g1^15*t^6.54 + (2*t^6.64)/g1^10 + 2*g1^8*t^6.69 + t^6.78/g1^17 + 2*g1*t^6.84 + t^6.93/g1^24 + (2*t^6.98)/g1^6 + g1^12*t^7.03 + (2*t^7.13)/g1^13 + 2*g1^5*t^7.18 + g1^23*t^7.23 + (2*t^7.28)/g1^20 + (2*t^7.33)/g1^2 + (2*t^7.47)/g1^9 + 3*g1^9*t^7.53 + t^7.62/g1^16 + 3*g1^2*t^7.67 + g1^20*t^7.72 + (3*t^7.82)/g1^5 + (3*t^7.97)/g1^12 + g1^6*t^8.02 + g1^24*t^8.07 + t^8.11/g1^19 - t^8.16/g1 + 2*g1^17*t^8.22 + t^8.26/g1^26 + g1^10*t^8.36 + t^8.46/g1^15 + 2*g1^21*t^8.56 + t^8.6/g1^22 + (2*t^8.66)/g1^4 + g1^14*t^8.71 + (2*t^8.8)/g1^11 + g1^7*t^8.85 + g1^25*t^8.91 + (2*t^8.95)/g1^18 - t^4.33/(g1^2*y) - t^6.49/(g1^3*y) - t^6.64/(g1^10*y) - t^6.98/(g1^6*y) + t^7.47/(g1^9*y) + (2*g1^2*t^7.67)/y + (2*t^7.82)/(g1^5*y) + t^7.97/(g1^12*y) + (g1^6*t^8.02)/y + (3*t^8.16)/(g1*y) + t^8.31/(g1^8*y) + (g1^10*t^8.36)/y + (2*g1^3*t^8.51)/y + t^8.66/(g1^4*y) + (g1^14*t^8.71)/y + t^8.8/(g1^11*y) + (g1^7*t^8.85)/y - (t^4.33*y)/g1^2 - (t^6.49*y)/g1^3 - (t^6.64*y)/g1^10 - (t^6.98*y)/g1^6 + (t^7.47*y)/g1^9 + 2*g1^2*t^7.67*y + (2*t^7.82*y)/g1^5 + (t^7.97*y)/g1^12 + g1^6*t^8.02*y + (3*t^8.16*y)/g1 + (t^8.31*y)/g1^8 + g1^10*t^8.36*y + 2*g1^3*t^8.51*y + (t^8.66*y)/g1^4 + g1^14*t^8.71*y + (t^8.8*y)/g1^11 + g1^7*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 |
|---|---|---|---|---|---|---|---|---|
| 53856 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_1\tilde{q}_1\tilde{q}_2$ | 0.6767 | 0.8464 | 0.7996 | [X:[], M:[0.8571, 1.0, 1.1429, 0.7143, 0.7143], q:[0.3571, 0.7857], qb:[0.6429, 0.5], phi:[0.4286]] | 2*t^2.14 + 2*t^2.57 + t^3. + 3*t^3.43 + 6*t^4.29 + 5*t^4.71 + 5*t^5.14 + 6*t^5.57 + 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 1857/2744, c: 4645/5488, M1: 6/7, M2: 1, M3: 8/7, M4: 5/7, M5: 5/7, q1: 5/14, q2: 11/14, qb1: 9/14, qb2: 1/2, phi1: 3/7} |
| 50918 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_3M_4$ | 0.6779 | 0.8483 | 0.7991 | [X:[], M:[0.8182, 1.0, 1.1818, 0.8182, 0.7273], q:[0.4091, 0.7727], qb:[0.5909, 0.4091], phi:[0.4545]] | t^2.18 + 2*t^2.45 + t^2.73 + 2*t^3. + t^3.55 + 2*t^3.82 + t^4.09 + 3*t^4.36 + 2*t^4.64 + 5*t^4.91 + 4*t^5.18 + 3*t^5.45 + 3*t^5.73 + 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 3609/5324, c: 9033/10648, M1: 9/11, M2: 1, M3: 13/11, M4: 9/11, M5: 8/11, q1: 9/22, q2: 17/22, qb1: 13/22, qb2: 9/22, phi1: 5/11} |
| 55946 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_3M_6$ | 0.6954 | 0.876 | 0.7938 | [X:[], M:[0.8327, 1.0, 1.1673, 0.7794, 0.7224, 0.8327], q:[0.3897, 0.7776], qb:[0.6103, 0.4431], phi:[0.4448]] | t^2.17 + t^2.34 + 2*t^2.5 + t^2.67 + t^3. + t^3.16 + t^3.67 + t^3.99 + t^4.16 + 2*t^4.33 + t^4.49 + t^4.51 + 2*t^4.67 + t^4.68 + 3*t^4.84 + 4*t^5. + t^5.01 + 3*t^5.17 + t^5.33 + t^5.34 + 2*t^5.5 + 2*t^5.66 + t^5.67 + t^5.83 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
| 55945 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_4M_6$ | 0.6635 | 0.8206 | 0.8086 | [X:[], M:[0.8288, 1.0, 1.1712, 0.7899, 0.7237, 1.2101], q:[0.395, 0.7763], qb:[0.605, 0.4338], phi:[0.4475]] | t^2.17 + t^2.49 + t^2.68 + t^3. + t^3.12 + t^3.51 + t^3.63 + t^3.71 + t^3.95 + t^4.14 + 2*t^4.34 + t^4.46 + t^4.66 + t^4.86 + 2*t^4.97 + 2*t^5.17 + t^5.29 + t^5.6 + 2*t^5.68 + 2*t^5.8 - t^6. - t^4.34/y - t^4.34*y | detail | |
| 55947 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ | 0.6991 | 0.8842 | 0.7907 | [X:[], M:[0.8286, 1.0, 1.1714, 0.7903, 0.7238, 0.7621], q:[0.3951, 0.7762], qb:[0.6049, 0.4335], phi:[0.4476]] | t^2.17 + t^2.29 + t^2.37 + t^2.49 + t^2.69 + t^3. + t^3.12 + t^3.51 + t^3.94 + t^4.14 + 2*t^4.34 + 2*t^4.46 + t^4.54 + t^4.57 + 2*t^4.66 + t^4.74 + t^4.77 + 2*t^4.86 + 3*t^4.97 + t^5.06 + 2*t^5.17 + 2*t^5.29 + t^5.37 + t^5.4 + t^5.49 + t^5.6 + 2*t^5.69 + 2*t^5.8 - t^6. - t^4.34/y - t^4.34*y | detail | |
| 51331 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.6898 | 0.867 | 0.7955 | [X:[], M:[0.851, 1.0, 1.149, 0.7306, 0.7163, 0.8796], q:[0.3653, 0.7837], qb:[0.6347, 0.4857], phi:[0.4326]] | t^2.15 + t^2.19 + t^2.55 + t^2.6 + t^2.64 + t^3. + t^3.45 + t^3.49 + t^4.21 + t^4.26 + 2*t^4.3 + t^4.34 + t^4.38 + t^4.66 + t^4.7 + 2*t^4.74 + 2*t^4.79 + t^4.83 + 2*t^5.11 + 2*t^5.15 + 2*t^5.19 + t^5.23 + t^5.28 + 2*t^5.6 + 2*t^5.64 + t^5.68 - t^6. - t^4.3/y - t^4.3*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46570 | 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_2^2$ + $ \phi_1q_2^2$ | 0.6611 | 0.8138 | 0.8124 | [X:[], M:[0.8357, 1.0, 1.1643, 0.7714], q:[0.3857, 0.7786], qb:[0.6143, 0.4501], phi:[0.4428]] | t^2.31 + t^2.51 + t^2.66 + t^3. + t^3.19 + t^3.49 + t^3.64 + t^3.84 + t^4.03 + t^4.18 + t^4.33 + t^4.52 + t^4.63 + t^4.82 + t^4.97 + 2*t^5.01 + t^5.16 + t^5.31 + t^5.51 + t^5.66 + t^5.7 + t^5.85 + t^5.96 - t^6. - t^4.33/y - t^4.33*y | detail |