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 |
|---|---|---|---|---|---|---|---|---|---|
| 2973 | 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_1q_1\tilde{q}_1$ | 0.7023 | 0.8948 | 0.7849 | [X:[], M:[1.0, 0.8396, 1.1604, 0.6792, 0.8396, 0.7005], q:[0.4492, 0.5508], qb:[0.3904, 0.7701], phi:[0.4599]] | [X:[], M:[[0], [-8], [8], [-16], [-8], [10]], q:[[-15], [15]], qb:[[7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_2$, $ M_5$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ \phi_1q_1^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_2M_4$, $ M_4M_5$, $ M_2M_6$, $ M_5M_6$, $ \phi_1q_2^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6q_2\tilde{q}_1$, $ M_2^2$, $ M_1M_4$, $ M_2M_5$, $ M_5^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_6$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_2$, $ M_1M_5$, $ \phi_1^4$, $ \phi_1^2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_1\phi_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_6q_1\tilde{q}_2$, $ M_6\phi_1\tilde{q}_1^2$ | . | -2 | t^2.04 + t^2.1 + 2*t^2.52 + t^2.76 + t^2.82 + t^3. + t^3.66 + t^3.72 + 2*t^4.07 + t^4.14 + 2*t^4.2 + t^4.38 + 2*t^4.56 + 2*t^4.62 + t^4.68 + t^4.8 + 2*t^4.86 + t^4.93 + 4*t^5.04 + t^5.1 + 2*t^5.28 + 2*t^5.34 + 2*t^5.52 + t^5.58 + t^5.65 + 3*t^5.76 + t^5.82 - 2*t^6. + 2*t^6.11 + 3*t^6.18 + 3*t^6.24 + t^6.3 + t^6.42 + t^6.48 + t^6.55 + 4*t^6.59 + 2*t^6.66 + 4*t^6.72 + t^6.79 + 2*t^6.83 + 3*t^6.9 + t^6.96 + 2*t^7.03 + 4*t^7.07 + 3*t^7.14 + 3*t^7.2 + 2*t^7.32 + 3*t^7.38 + 3*t^7.44 + t^7.51 + 4*t^7.56 + 2*t^7.62 + t^7.68 + t^7.73 + t^7.75 + 5*t^7.8 + 4*t^7.86 + t^7.93 + t^8.04 - t^8.1 + 3*t^8.15 + t^8.17 + t^8.21 + 6*t^8.28 + 2*t^8.34 + 3*t^8.41 + t^8.45 + t^8.47 - 4*t^8.52 + t^8.58 + 4*t^8.63 + t^8.65 + 5*t^8.7 + 4*t^8.76 - t^8.82 + 2*t^8.87 + 2*t^8.89 + 3*t^8.94 - t^4.38/y - t^6.42/y - t^6.48/y - t^6.9/y + (2*t^7.56)/y + (3*t^7.62)/y + t^7.8/y + (3*t^7.86)/y + t^7.93/y + (2*t^8.04)/y + t^8.1/y + (3*t^8.28)/y + (3*t^8.34)/y - t^8.45/y + t^8.52/y + t^8.7/y + (3*t^8.76)/y + (2*t^8.82)/y - t^8.94/y - t^4.38*y - t^6.42*y - t^6.48*y - t^6.9*y + 2*t^7.56*y + 3*t^7.62*y + t^7.8*y + 3*t^7.86*y + t^7.93*y + 2*t^8.04*y + t^8.1*y + 3*t^8.28*y + 3*t^8.34*y - t^8.45*y + t^8.52*y + t^8.7*y + 3*t^8.76*y + 2*t^8.82*y - t^8.94*y | t^2.04/g1^16 + g1^10*t^2.1 + (2*t^2.52)/g1^8 + t^2.76/g1^4 + g1^22*t^2.82 + t^3. + t^3.66/g1^14 + g1^12*t^3.72 + (2*t^4.07)/g1^32 + t^4.14/g1^6 + 2*g1^20*t^4.2 + t^4.38/g1^2 + (2*t^4.56)/g1^24 + 2*g1^2*t^4.62 + g1^28*t^4.68 + t^4.8/g1^20 + 2*g1^6*t^4.86 + g1^32*t^4.93 + (4*t^5.04)/g1^16 + g1^10*t^5.1 + (2*t^5.28)/g1^12 + 2*g1^14*t^5.34 + (2*t^5.52)/g1^8 + g1^18*t^5.58 + g1^44*t^5.65 + (3*t^5.76)/g1^4 + g1^22*t^5.82 - 2*t^6. + (2*t^6.11)/g1^48 + (3*t^6.18)/g1^22 + 3*g1^4*t^6.24 + g1^30*t^6.3 + t^6.42/g1^18 + g1^8*t^6.48 + g1^34*t^6.55 + (4*t^6.59)/g1^40 + (2*t^6.66)/g1^14 + 4*g1^12*t^6.72 + g1^38*t^6.79 + (2*t^6.83)/g1^36 + (3*t^6.9)/g1^10 + g1^16*t^6.96 + 2*g1^42*t^7.03 + (4*t^7.07)/g1^32 + (3*t^7.14)/g1^6 + 3*g1^20*t^7.2 + (2*t^7.32)/g1^28 + (3*t^7.38)/g1^2 + 3*g1^24*t^7.44 + g1^50*t^7.51 + (4*t^7.56)/g1^24 + 2*g1^2*t^7.62 + g1^28*t^7.68 + t^7.73/g1^46 + g1^54*t^7.75 + (5*t^7.8)/g1^20 + 4*g1^6*t^7.86 + g1^32*t^7.93 + t^8.04/g1^16 - g1^10*t^8.1 + (3*t^8.15)/g1^64 + g1^36*t^8.17 + t^8.21/g1^38 + (6*t^8.28)/g1^12 + 2*g1^14*t^8.34 + 3*g1^40*t^8.41 + t^8.45/g1^34 + g1^66*t^8.47 - (4*t^8.52)/g1^8 + g1^18*t^8.58 + (4*t^8.63)/g1^56 + g1^44*t^8.65 + (5*t^8.7)/g1^30 + (4*t^8.76)/g1^4 - g1^22*t^8.82 + (2*t^8.87)/g1^52 + 2*g1^48*t^8.89 + (3*t^8.94)/g1^26 - t^4.38/(g1^2*y) - t^6.42/(g1^18*y) - (g1^8*t^6.48)/y - t^6.9/(g1^10*y) + (2*t^7.56)/(g1^24*y) + (3*g1^2*t^7.62)/y + t^7.8/(g1^20*y) + (3*g1^6*t^7.86)/y + (g1^32*t^7.93)/y + (2*t^8.04)/(g1^16*y) + (g1^10*t^8.1)/y + (3*t^8.28)/(g1^12*y) + (3*g1^14*t^8.34)/y - t^8.45/(g1^34*y) + t^8.52/(g1^8*y) + t^8.7/(g1^30*y) + (3*t^8.76)/(g1^4*y) + (2*g1^22*t^8.82)/y - t^8.94/(g1^26*y) - (t^4.38*y)/g1^2 - (t^6.42*y)/g1^18 - g1^8*t^6.48*y - (t^6.9*y)/g1^10 + (2*t^7.56*y)/g1^24 + 3*g1^2*t^7.62*y + (t^7.8*y)/g1^20 + 3*g1^6*t^7.86*y + g1^32*t^7.93*y + (2*t^8.04*y)/g1^16 + g1^10*t^8.1*y + (3*t^8.28*y)/g1^12 + 3*g1^14*t^8.34*y - (t^8.45*y)/g1^34 + (t^8.52*y)/g1^8 + (t^8.7*y)/g1^30 + (3*t^8.76*y)/g1^4 + 2*g1^22*t^8.82*y - (t^8.94*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3576 | $M_1q_1q_2$ + $ 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_1q_1\tilde{q}_1$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ | 0.6218 | 0.7859 | 0.7912 | [X:[1.5], M:[1.0, 0.75, 1.25, 0.5, 0.75, 0.8125], q:[0.2812, 0.7188], qb:[0.4688, 0.7812], phi:[0.4375]] | 2*t^2.25 + t^2.44 + t^2.62 + 2*t^3. + t^3.19 + t^3.56 + t^4.12 + t^4.31 + 4*t^4.5 + t^4.69 + 4*t^4.88 + t^5.06 + 4*t^5.25 + 3*t^5.44 + 4*t^5.62 + 2*t^5.81 - t^4.31/y - t^4.31*y | detail | {a: 2547/4096, c: 3219/4096, X1: 3/2, M1: 1, M2: 3/4, M3: 5/4, M4: 1/2, M5: 3/4, M6: 13/16, q1: 9/32, q2: 23/32, qb1: 15/32, qb2: 25/32, phi1: 7/16} |
| 3577 | $M_1q_1q_2$ + $ 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_1q_1\tilde{q}_1$ + $ M_7q_2\tilde{q}_1$ + $ M_4X_1$ | 0.678 | 0.8481 | 0.7995 | [X:[1.3541], M:[1.0, 0.823, 1.177, 0.6459, 0.823, 0.7213, 1.0131], q:[0.418, 0.582], qb:[0.4049, 0.7721], phi:[0.4557]] | t^2.16 + 2*t^2.47 + t^2.73 + t^3. + t^3.04 + t^3.57 + t^3.8 + t^3.88 + t^4.06 + 2*t^4.33 + t^4.37 + 2*t^4.63 + t^4.86 + t^4.9 + 3*t^4.94 + t^5.16 + 3*t^5.2 + 2*t^5.47 + t^5.51 + 2*t^5.73 + 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1935 | 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$ | 0.6818 | 0.8558 | 0.7967 | [X:[], M:[1.0, 0.8382, 1.1618, 0.6764, 0.8382], q:[0.4466, 0.5534], qb:[0.3916, 0.7702], phi:[0.4595]] | t^2.03 + 2*t^2.51 + t^2.76 + t^2.84 + t^3. + t^3.65 + t^3.73 + t^3.89 + 2*t^4.06 + t^4.21 + t^4.38 + 2*t^4.54 + t^4.7 + t^4.79 + t^4.86 + 4*t^5.03 + 2*t^5.27 + 2*t^5.35 + 2*t^5.51 + t^5.59 + t^5.67 + 2*t^5.76 + t^5.92 - 2*t^6. - t^4.38/y - t^4.38*y | detail |