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 |
|---|---|---|---|---|---|---|---|---|---|
| 1619 | 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_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6762 | 0.8432 | 0.8019 | [X:[], M:[1.168, 1.1093, 0.9495, 1.0, 0.832, 0.7227, 0.7732], q:[0.7773, 0.4412], qb:[0.3907, 0.6093], phi:[0.4454]] | [X:[], M:[[-3], [4], [-11], [0], [3], [-1], [10]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_7$, $ M_5$, $ M_3$, $ M_4$, $ M_2$, $ M_1$, $ q_1q_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ M_6^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_7^2$, $ M_5M_6$, $ M_5M_7$, $ M_5^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_6$, $ M_4M_6$, $ M_3M_7$, $ M_4M_7$, $ M_4M_5$, $ M_2M_6$, $ M_2M_7$, $ M_1M_6$, $ M_3^2$, $ M_2M_5$, $ M_1M_7$, $ M_6q_1q_2$, $ M_7q_1q_2$ | . | -1 | t^2.17 + t^2.32 + t^2.5 + t^2.85 + t^3. + t^3.33 + t^3.5 + t^3.66 + t^3.98 + t^4.16 + 2*t^4.34 + 2*t^4.49 + t^4.64 + t^4.66 + t^4.82 + 2*t^4.99 + t^5.02 + 2*t^5.17 + t^5.32 + t^5.5 + t^5.65 + t^5.67 + t^5.7 + 3*t^5.82 + t^5.98 - t^6. + t^6.15 + t^6.3 + t^6.33 + t^6.35 + 2*t^6.48 + 2*t^6.5 + 4*t^6.66 - t^6.68 + 2*t^6.81 + t^6.83 + t^6.96 + 3*t^6.98 + t^7.14 + 2*t^7.16 + t^7.18 + 3*t^7.31 + t^7.34 + 4*t^7.49 + 2*t^7.64 + t^7.66 + 2*t^7.82 + t^7.84 + t^7.86 + 2*t^7.97 + 3*t^7.99 + t^8.02 + 4*t^8.14 - 3*t^8.17 + t^8.29 + t^8.32 - t^8.34 + 2*t^8.47 + t^8.52 + t^8.55 + t^8.62 + 3*t^8.65 + 2*t^8.67 + 2*t^8.8 + 2*t^8.82 - 3*t^8.85 + 6*t^8.98 - t^4.34/y - t^6.5/y - t^6.66/y - t^7.18/y + (2*t^7.49)/y + t^7.66/y + t^7.82/y + (2*t^8.02)/y + (3*t^8.17)/y + t^8.32/y + t^8.34/y + (2*t^8.5)/y + t^8.65/y + (2*t^8.82)/y + t^8.85/y - t^4.34*y - t^6.5*y - t^6.66*y - t^7.18*y + 2*t^7.49*y + t^7.66*y + t^7.82*y + 2*t^8.02*y + 3*t^8.17*y + t^8.32*y + t^8.34*y + 2*t^8.5*y + t^8.65*y + 2*t^8.82*y + t^8.85*y | t^2.17/g1 + g1^10*t^2.32 + g1^3*t^2.5 + t^2.85/g1^11 + t^3. + g1^4*t^3.33 + t^3.5/g1^3 + g1^8*t^3.66 + g1^12*t^3.98 + g1^5*t^4.16 + (2*t^4.34)/g1^2 + 2*g1^9*t^4.49 + g1^20*t^4.64 + g1^2*t^4.66 + g1^13*t^4.82 + 2*g1^6*t^4.99 + t^5.02/g1^12 + (2*t^5.17)/g1 + g1^10*t^5.32 + g1^3*t^5.5 + g1^14*t^5.65 + t^5.67/g1^4 + t^5.7/g1^22 + 3*g1^7*t^5.82 + g1^18*t^5.98 - t^6. + g1^11*t^6.15 + g1^22*t^6.3 + g1^4*t^6.33 + t^6.35/g1^14 + 2*g1^15*t^6.48 + (2*t^6.5)/g1^3 + 4*g1^8*t^6.66 - t^6.68/g1^10 + 2*g1^19*t^6.81 + g1*t^6.83 + g1^30*t^6.96 + 3*g1^12*t^6.98 + g1^23*t^7.14 + 2*g1^5*t^7.16 + t^7.18/g1^13 + 3*g1^16*t^7.31 + t^7.34/g1^2 + 4*g1^9*t^7.49 + 2*g1^20*t^7.64 + g1^2*t^7.66 + 2*g1^13*t^7.82 + t^7.84/g1^5 + t^7.86/g1^23 + 2*g1^24*t^7.97 + 3*g1^6*t^7.99 + t^8.02/g1^12 + 4*g1^17*t^8.14 - (3*t^8.17)/g1 + g1^28*t^8.29 + g1^10*t^8.32 - t^8.34/g1^8 + 2*g1^21*t^8.47 + t^8.52/g1^15 + t^8.55/g1^33 + g1^32*t^8.62 + 3*g1^14*t^8.65 + (2*t^8.67)/g1^4 + 2*g1^25*t^8.8 + 2*g1^7*t^8.82 - (3*t^8.85)/g1^11 + 6*g1^18*t^8.98 - t^4.34/(g1^2*y) - t^6.5/(g1^3*y) - (g1^8*t^6.66)/y - t^7.18/(g1^13*y) + (2*g1^9*t^7.49)/y + (g1^2*t^7.66)/y + (g1^13*t^7.82)/y + (2*t^8.02)/(g1^12*y) + (3*t^8.17)/(g1*y) + (g1^10*t^8.32)/y + t^8.34/(g1^8*y) + (2*g1^3*t^8.5)/y + (g1^14*t^8.65)/y + (2*g1^7*t^8.82)/y + t^8.85/(g1^11*y) - (t^4.34*y)/g1^2 - (t^6.5*y)/g1^3 - g1^8*t^6.66*y - (t^7.18*y)/g1^13 + 2*g1^9*t^7.49*y + g1^2*t^7.66*y + g1^13*t^7.82*y + (2*t^8.02*y)/g1^12 + (3*t^8.17*y)/g1 + g1^10*t^8.32*y + (t^8.34*y)/g1^8 + 2*g1^3*t^8.5*y + g1^14*t^8.65*y + 2*g1^7*t^8.82*y + (t^8.85*y)/g1^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4012 | $\phi_1q_1^2$ + $ 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_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_1M_8$ | 0.6908 | 0.8692 | 0.7947 | [X:[], M:[1.1711, 1.1052, 0.9606, 1.0, 0.8289, 0.7237, 0.7631, 0.8289], q:[0.7763, 0.4342], qb:[0.3948, 0.6052], phi:[0.4474]] | t^2.17 + t^2.29 + 2*t^2.49 + t^2.88 + t^3. + t^3.32 + t^3.63 + t^3.95 + t^4.14 + 2*t^4.34 + 2*t^4.46 + t^4.58 + 2*t^4.66 + 2*t^4.78 + 4*t^4.97 + t^5.05 + 2*t^5.17 + t^5.29 + t^5.37 + 2*t^5.49 + t^5.6 + t^5.76 + 3*t^5.8 + t^5.92 - 2*t^6. - t^4.34/y - t^4.34*y | detail | |
| 4011 | $\phi_1q_1^2$ + $ 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_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_4M_7$ | 0.6249 | 0.7749 | 0.8064 | [X:[], M:[1.1, 1.2, 0.7, 1.0, 0.9, 0.7, 1.0], q:[0.8, 0.6], qb:[0.3, 0.7], phi:[0.4]] | 2*t^2.1 + t^2.7 + 2*t^3. + t^3.3 + t^3.6 + 5*t^4.2 + t^4.5 + 2*t^4.8 + 4*t^5.1 + 4*t^5.4 + 2*t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 9999/16000, c: 12399/16000, M1: 11/10, M2: 6/5, M3: 7/10, M4: 1, M5: 9/10, M6: 7/10, M7: 1, q1: 4/5, q2: 3/5, qb1: 3/10, qb2: 7/10, phi1: 2/5} |
| 4013 | $\phi_1q_1^2$ + $ 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_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2^2$ | 0.6971 | 0.8846 | 0.788 | [X:[], M:[1.1677, 1.1098, 0.9481, 1.0, 0.8323, 0.7226, 0.7745, 0.6706], q:[0.7774, 0.4421], qb:[0.3902, 0.6098], phi:[0.4451]] | t^2.01 + t^2.17 + t^2.32 + t^2.5 + t^2.84 + t^3. + t^3.33 + t^3.5 + t^3.66 + t^4.02 + t^4.16 + t^4.18 + 3*t^4.34 + 2*t^4.49 + t^4.51 + t^4.65 + t^4.66 + t^4.82 + t^4.86 + 2*t^4.99 + 2*t^5.01 + 2*t^5.17 + t^5.32 + t^5.34 + t^5.5 + t^5.51 + t^5.65 + 2*t^5.67 + t^5.69 + 3*t^5.83 + t^5.98 - t^6. - t^4.34/y - t^4.34*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1038 | 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_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.659 | 0.8115 | 0.8121 | [X:[], M:[1.159, 1.1213, 0.9165, 1.0, 0.841, 0.7197], q:[0.7803, 0.4622], qb:[0.3787, 0.6213], phi:[0.4394]] | t^2.16 + t^2.52 + t^2.75 + t^3. + t^3.36 + t^3.48 + t^3.59 + t^3.73 + t^4.09 + t^4.2 + 2*t^4.32 + t^4.57 + t^4.68 + t^4.91 + 2*t^5.05 + t^5.16 + t^5.5 + t^5.52 + t^5.64 + t^5.75 + 2*t^5.89 - t^6. - t^4.32/y - t^4.32*y | detail |