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 |
|---|---|---|---|---|---|---|---|---|---|
| 3573 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_4X_1$ | 0.6779 | 0.8486 | 0.7988 | [X:[1.3658], M:[1.0, 0.8171, 1.1829, 0.6342, 0.8171, 0.7257, 0.9971], q:[0.4071, 0.5929], qb:[0.41, 0.7729], phi:[0.4543]] | [X:[[16]], M:[[0], [-8], [8], [-16], [-8], [-12], [-22]], q:[[-15], [15]], qb:[[7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ M_5$, $ \phi_1^2$, $ M_7$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ X_1$, $ M_6^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ M_5M_6$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_6M_7$, $ M_1M_6$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_2M_7$, $ M_5M_7$, $ M_1M_2$, $ M_1M_5$, $ \phi_1^4$, $ M_7\phi_1^2$, $ M_6q_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_7^2$, $ M_6\phi_1q_1^2$, $ M_1M_7$, $ M_6\phi_1q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$ | . | -2 | t^2.18 + 2*t^2.45 + t^2.73 + t^2.99 + t^3. + t^3.54 + 2*t^3.81 + t^4.1 + t^4.35 + t^4.36 + t^4.37 + 2*t^4.63 + 4*t^4.9 + t^4.92 + t^5.17 + 3*t^5.18 + t^5.44 + 2*t^5.45 + 2*t^5.72 + t^5.73 + 2*t^5.98 + 3*t^5.99 - 2*t^6. - t^6.01 + 2*t^6.26 + 2*t^6.27 + 3*t^6.53 + 2*t^6.54 + t^6.55 - t^6.56 + t^6.8 + 4*t^6.81 + t^6.82 + 4*t^7.08 + t^7.1 + 9*t^7.35 - t^7.36 + t^7.37 + t^7.61 + 2*t^7.62 + 5*t^7.63 + 3*t^7.89 + 5*t^7.9 - t^7.92 + 2*t^8.16 + 5*t^8.17 - 2*t^8.19 + 3*t^8.43 + 5*t^8.44 - 4*t^8.45 - t^8.46 + 7*t^8.71 + 5*t^8.72 - 4*t^8.73 + 2*t^8.97 + 6*t^8.98 + t^8.99 - t^4.36/y - t^6.54/y - t^6.81/y - t^7.09/y - t^7.35/y + t^7.37/y + (2*t^7.63)/y + t^7.64/y + (2*t^7.9)/y + t^7.91/y + t^8.17/y + (3*t^8.18)/y + t^8.19/y + (2*t^8.44)/y + (2*t^8.45)/y + t^8.72/y + t^8.73/y + t^8.98/y + (3*t^8.99)/y - t^4.36*y - t^6.54*y - t^6.81*y - t^7.09*y - t^7.35*y + t^7.37*y + 2*t^7.63*y + t^7.64*y + 2*t^7.9*y + t^7.91*y + t^8.17*y + 3*t^8.18*y + t^8.19*y + 2*t^8.44*y + 2*t^8.45*y + t^8.72*y + t^8.73*y + t^8.98*y + 3*t^8.99*y | t^2.18/g1^12 + (2*t^2.45)/g1^8 + t^2.73/g1^4 + t^2.99/g1^22 + t^3. + t^3.54/g1^14 + t^3.81/g1^32 + t^3.81/g1^10 + g1^16*t^4.1 + t^4.35/g1^24 + t^4.36/g1^2 + g1^20*t^4.37 + (2*t^4.63)/g1^20 + (4*t^4.9)/g1^16 + g1^28*t^4.92 + t^5.17/g1^34 + (3*t^5.18)/g1^12 + t^5.44/g1^30 + (2*t^5.45)/g1^8 + (2*t^5.72)/g1^26 + t^5.73/g1^4 + (2*t^5.98)/g1^44 + (3*t^5.99)/g1^22 - 2*t^6. - g1^22*t^6.01 + (2*t^6.26)/g1^40 + (2*t^6.27)/g1^18 + (3*t^6.53)/g1^36 + (2*t^6.54)/g1^14 + g1^8*t^6.55 - g1^30*t^6.56 + t^6.8/g1^54 + (3*t^6.81)/g1^32 + t^6.81/g1^10 + g1^12*t^6.82 + (4*t^7.08)/g1^28 + g1^16*t^7.1 + (2*t^7.35)/g1^46 + (7*t^7.35)/g1^24 - t^7.36/g1^2 + g1^20*t^7.37 + t^7.61/g1^64 + (2*t^7.62)/g1^42 + (5*t^7.63)/g1^20 + (3*t^7.89)/g1^38 + (5*t^7.9)/g1^16 - g1^28*t^7.92 + (2*t^8.16)/g1^56 + (5*t^8.17)/g1^34 - 2*g1^10*t^8.19 + (3*t^8.43)/g1^52 + (5*t^8.44)/g1^30 - (4*t^8.45)/g1^8 - g1^14*t^8.46 + (7*t^8.71)/g1^48 + (5*t^8.72)/g1^26 - (2*t^8.73)/g1^4 - 2*g1^18*t^8.73 + (2*t^8.97)/g1^66 + (6*t^8.98)/g1^44 + t^8.99/g1^22 - t^4.36/(g1^2*y) - t^6.54/(g1^14*y) - t^6.81/(g1^10*y) - t^7.09/(g1^6*y) - t^7.35/(g1^24*y) + (g1^20*t^7.37)/y + (2*t^7.63)/(g1^20*y) + (g1^2*t^7.64)/y + (2*t^7.9)/(g1^16*y) + (g1^6*t^7.91)/y + t^8.17/(g1^34*y) + (3*t^8.18)/(g1^12*y) + (g1^10*t^8.19)/y + (2*t^8.44)/(g1^30*y) + (2*t^8.45)/(g1^8*y) + t^8.72/(g1^26*y) + t^8.73/(g1^4*y) + t^8.98/(g1^44*y) + (3*t^8.99)/(g1^22*y) - (t^4.36*y)/g1^2 - (t^6.54*y)/g1^14 - (t^6.81*y)/g1^10 - (t^7.09*y)/g1^6 - (t^7.35*y)/g1^24 + g1^20*t^7.37*y + (2*t^7.63*y)/g1^20 + g1^2*t^7.64*y + (2*t^7.9*y)/g1^16 + g1^6*t^7.91*y + (t^8.17*y)/g1^34 + (3*t^8.18*y)/g1^12 + g1^10*t^8.19*y + (2*t^8.44*y)/g1^30 + (2*t^8.45*y)/g1^8 + (t^8.72*y)/g1^26 + (t^8.73*y)/g1^4 + (t^8.98*y)/g1^44 + (3*t^8.99*y)/g1^22 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5312 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_2M_7$ | 0.6603 | 0.8187 | 0.8066 | [X:[1.2667], M:[1.0, 0.8667, 1.1333, 0.7333, 0.8667, 0.8, 1.1333], q:[0.5, 0.5], qb:[0.3667, 0.7667], phi:[0.4667]] | t^2.4 + 2*t^2.6 + t^2.8 + t^3. + t^3.4 + 2*t^3.8 + 2*t^4. + 3*t^4.4 + t^4.8 + 2*t^5. + 4*t^5.2 + 3*t^5.4 + t^5.6 + 2*t^5.8 - 2*t^6. - t^4.4/y - t^4.4*y | detail | {a: 1981/3000, c: 307/375, X1: 19/15, M1: 1, M2: 13/15, M3: 17/15, M4: 11/15, M5: 13/15, M6: 4/5, M7: 17/15, q1: 1/2, q2: 1/2, qb1: 11/30, qb2: 23/30, phi1: 7/15} |
| 5309 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_6M_7$ | 0.6479 | 0.8023 | 0.8075 | [X:[1.2353], M:[1.0, 0.8824, 1.1176, 0.7647, 0.8824, 0.8235, 1.1765], q:[0.5294, 0.4706], qb:[0.3529, 0.7647], phi:[0.4706]] | t^2.47 + 2*t^2.65 + t^2.82 + t^3. + t^3.53 + t^3.71 + 2*t^3.88 + t^4.06 + t^4.24 + t^4.41 + t^4.59 + t^4.94 + 2*t^5.12 + 4*t^5.29 + 2*t^5.47 + 2*t^5.65 - t^6. - t^4.41/y - t^4.41*y | detail | {a: 50931/78608, c: 63069/78608, X1: 21/17, M1: 1, M2: 15/17, M3: 19/17, M4: 13/17, M5: 15/17, M6: 14/17, M7: 20/17, q1: 9/17, q2: 8/17, qb1: 6/17, qb2: 13/17, phi1: 8/17} |
| 5239 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_8\phi_1q_1^2$ | 0.698 | 0.8855 | 0.7883 | [X:[1.354], M:[1.0, 0.823, 1.177, 0.646, 0.823, 0.7345, 1.0132, 0.708], q:[0.4181, 0.5819], qb:[0.4049, 0.7721], phi:[0.4557]] | t^2.12 + t^2.2 + 2*t^2.47 + t^2.73 + t^3. + t^3.04 + t^3.57 + t^3.84 + t^4.06 + t^4.25 + 2*t^4.33 + t^4.37 + t^4.41 + 2*t^4.59 + 2*t^4.67 + 2*t^4.86 + 4*t^4.94 + t^5.12 + t^5.16 + 3*t^5.2 + t^5.24 + 2*t^5.47 + t^5.51 + t^5.69 + t^5.73 + 2*t^5.77 - 2*t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2971 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.7007 | 0.8906 | 0.7868 | [X:[], M:[1.0, 0.8343, 1.1657, 0.6686, 0.8343, 0.7514], q:[0.4393, 0.5607], qb:[0.395, 0.7707], phi:[0.4586]] | t^2.01 + t^2.25 + 2*t^2.5 + t^2.75 + t^2.87 + t^3. + t^3.63 + t^3.88 + 2*t^4.01 + t^4.24 + t^4.26 + t^4.38 + 3*t^4.51 + t^4.74 + 3*t^4.76 + t^4.87 + 5*t^5.01 + t^5.12 + 3*t^5.25 + 2*t^5.37 + 2*t^5.5 + t^5.62 + t^5.73 + t^5.75 + 2*t^5.88 - 2*t^6. - t^4.38/y - t^4.38*y | detail |