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 |
|---|---|---|---|---|---|---|---|---|---|
| 1298 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_6q_2\tilde{q}_1$ | 0.61 | 0.7825 | 0.7796 | [X:[], M:[1.0, 1.0801, 0.8398, 0.7003, 0.7597, 1.1602], q:[0.77, 0.23], qb:[0.6098, 0.5504], phi:[0.4599]] | [X:[], M:[[0], [4], [-8], [10], [-12], [8]], q:[[1], [-1]], qb:[[-7], [15]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_1$, $ M_2$, $ M_6$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_4^2$, $ M_4M_5$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_2$, $ M_5^2$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_5q_2\tilde{q}_1$, $ M_4\phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_1M_4$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1M_5$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_5$, $ \phi_1^2q_2^4$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_6$, $ M_2q_2\tilde{q}_2$, $ M_5M_6$, $ M_2q_2\tilde{q}_1$ | . | -1 | t^2.1 + t^2.28 + t^2.34 + t^2.52 + t^2.76 + t^3. + t^3.24 + t^3.48 + t^3.96 + t^4.14 + t^4.2 + t^4.38 + t^4.44 + t^4.56 + 2*t^4.62 + 2*t^4.68 + t^4.8 + 2*t^4.86 + 2*t^5.04 + 2*t^5.1 + 2*t^5.28 + 2*t^5.34 + 3*t^5.52 + 2*t^5.58 + 2*t^5.76 - t^6. + t^6.06 - t^6.18 + 2*t^6.24 + 2*t^6.3 + 3*t^6.48 + t^6.54 + t^6.66 + 2*t^6.72 + 2*t^6.78 + t^6.84 + t^6.9 + 4*t^6.96 + 2*t^7.02 + t^7.08 + 2*t^7.14 + 3*t^7.2 + 2*t^7.32 + 2*t^7.38 + 4*t^7.44 + 2*t^7.56 + 3*t^7.62 + 3*t^7.68 + 3*t^7.8 + 3*t^7.86 + 2*t^7.92 + 3*t^8.04 + 2*t^8.16 + 2*t^8.4 - t^8.46 - t^8.52 + 2*t^8.58 + 3*t^8.64 - t^8.76 + 4*t^8.82 + 2*t^8.88 - t^4.38/y - t^6.48/y - t^6.66/y + t^7.38/y + t^7.44/y + (2*t^7.62)/y + t^7.8/y + (2*t^7.86)/y + t^8.04/y + (3*t^8.1)/y + (3*t^8.28)/y + (2*t^8.34)/y + (2*t^8.52)/y + t^8.58/y + (2*t^8.76)/y + t^8.82/y - t^8.94/y - t^4.38*y - t^6.48*y - t^6.66*y + t^7.38*y + t^7.44*y + 2*t^7.62*y + t^7.8*y + 2*t^7.86*y + t^8.04*y + 3*t^8.1*y + 3*t^8.28*y + 2*t^8.34*y + 2*t^8.52*y + t^8.58*y + 2*t^8.76*y + t^8.82*y - t^8.94*y | g1^10*t^2.1 + t^2.28/g1^12 + g1^14*t^2.34 + t^2.52/g1^8 + t^2.76/g1^4 + t^3. + g1^4*t^3.24 + g1^8*t^3.48 + g1^16*t^3.96 + t^4.14/g1^6 + g1^20*t^4.2 + t^4.38/g1^2 + g1^24*t^4.44 + t^4.56/g1^24 + 2*g1^2*t^4.62 + 2*g1^28*t^4.68 + t^4.8/g1^20 + 2*g1^6*t^4.86 + (2*t^5.04)/g1^16 + 2*g1^10*t^5.1 + (2*t^5.28)/g1^12 + 2*g1^14*t^5.34 + (3*t^5.52)/g1^8 + 2*g1^18*t^5.58 + (2*t^5.76)/g1^4 - t^6. + g1^26*t^6.06 - t^6.18/g1^22 + 2*g1^4*t^6.24 + 2*g1^30*t^6.3 + 3*g1^8*t^6.48 + g1^34*t^6.54 + t^6.66/g1^14 + 2*g1^12*t^6.72 + 2*g1^38*t^6.78 + t^6.84/g1^36 + t^6.9/g1^10 + 4*g1^16*t^6.96 + 2*g1^42*t^7.02 + t^7.08/g1^32 + (2*t^7.14)/g1^6 + 3*g1^20*t^7.2 + (2*t^7.32)/g1^28 + (2*t^7.38)/g1^2 + 4*g1^24*t^7.44 + (2*t^7.56)/g1^24 + 3*g1^2*t^7.62 + 3*g1^28*t^7.68 + (3*t^7.8)/g1^20 + 3*g1^6*t^7.86 + 2*g1^32*t^7.92 + (3*t^8.04)/g1^16 + 2*g1^36*t^8.16 + 2*g1^40*t^8.4 - t^8.46/g1^34 - t^8.52/g1^8 + 2*g1^18*t^8.58 + 3*g1^44*t^8.64 - t^8.76/g1^4 + 4*g1^22*t^8.82 + 2*g1^48*t^8.88 - t^4.38/(g1^2*y) - (g1^8*t^6.48)/y - t^6.66/(g1^14*y) + t^7.38/(g1^2*y) + (g1^24*t^7.44)/y + (2*g1^2*t^7.62)/y + t^7.8/(g1^20*y) + (2*g1^6*t^7.86)/y + t^8.04/(g1^16*y) + (3*g1^10*t^8.1)/y + (3*t^8.28)/(g1^12*y) + (2*g1^14*t^8.34)/y + (2*t^8.52)/(g1^8*y) + (g1^18*t^8.58)/y + (2*t^8.76)/(g1^4*y) + (g1^22*t^8.82)/y - t^8.94/(g1^26*y) - (t^4.38*y)/g1^2 - g1^8*t^6.48*y - (t^6.66*y)/g1^14 + (t^7.38*y)/g1^2 + g1^24*t^7.44*y + 2*g1^2*t^7.62*y + (t^7.8*y)/g1^20 + 2*g1^6*t^7.86*y + (t^8.04*y)/g1^16 + 3*g1^10*t^8.1*y + (3*t^8.28*y)/g1^12 + 2*g1^14*t^8.34*y + (2*t^8.52*y)/g1^8 + g1^18*t^8.58*y + (2*t^8.76*y)/g1^4 + 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 |
|---|---|---|---|---|---|---|---|---|
| 2342 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_7$ | 0.5895 | 0.7432 | 0.7932 | [X:[], M:[1.0, 1.0816, 0.8368, 0.7041, 0.7551, 1.1632, 1.2959], q:[0.7704, 0.2296], qb:[0.6072, 0.5561], phi:[0.4592]] | t^2.27 + t^2.36 + t^2.51 + t^2.76 + t^3. + t^3.24 + t^3.49 + t^3.89 + t^3.98 + t^4.13 + t^4.53 + t^4.62 + 2*t^4.71 + t^4.78 + t^4.87 + 2*t^5.02 + t^5.11 + 2*t^5.27 + t^5.36 + 3*t^5.51 + t^5.6 + 2*t^5.76 - t^6. - t^4.38/y - t^4.38*y | detail | |
| 2344 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_6q_2\tilde{q}_1$ + $ M_5M_7$ | 0.5917 | 0.7509 | 0.788 | [X:[], M:[1.0, 1.0756, 0.8489, 0.6889, 0.7733, 1.1511, 1.2267], q:[0.7689, 0.2311], qb:[0.6178, 0.5334], phi:[0.4622]] | t^2.07 + t^2.29 + t^2.55 + t^2.77 + t^3. + t^3.23 + t^3.45 + t^3.68 + t^3.91 + t^4.13 + t^4.16 + t^4.36 + 2*t^4.59 + t^4.61 + 2*t^4.84 + 2*t^5.07 + t^5.09 + 2*t^5.29 + t^5.32 + 2*t^5.52 + 2*t^5.55 + t^5.75 + t^5.77 + 2*t^5.97 - t^6. - t^4.39/y - t^4.39*y | detail | |
| 2341 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_6q_2\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ | 0.6308 | 0.8234 | 0.7661 | [X:[], M:[1.0, 1.0808, 0.8384, 0.702, 0.7576, 1.1616, 0.6768], q:[0.7702, 0.2298], qb:[0.6086, 0.553], phi:[0.4596]] | t^2.03 + t^2.11 + t^2.27 + t^2.35 + t^2.52 + t^2.76 + t^3. + t^3.24 + t^3.48 + t^4.06 + 2*t^4.14 + t^4.21 + t^4.3 + 2*t^4.38 + t^4.45 + 2*t^4.55 + 2*t^4.62 + 2*t^4.7 + 2*t^4.79 + 2*t^4.86 + 3*t^5.03 + 2*t^5.11 + 3*t^5.27 + 2*t^5.35 + 4*t^5.52 + 2*t^5.59 + 2*t^5.76 - t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 820 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ | 0.624 | 0.8111 | 0.7693 | [X:[], M:[1.0, 1.0021, 0.9959, 0.7495, 0.7495, 1.0041], q:[0.7505, 0.2495], qb:[0.5021, 0.5021], phi:[0.499]] | 4*t^2.25 + t^2.99 + t^3. + 2*t^3.01 + 2*t^3.76 + 7*t^4.5 + 6*t^4.51 + 8*t^5.25 + 4*t^5.26 + 2*t^5.27 + t^5.99 - 4*t^6. - t^4.5/y - t^4.5*y | detail |