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 |
|---|---|---|---|---|---|---|---|---|---|
| 2661 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_3M_7$ | 0.6522 | 0.7997 | 0.8155 | [X:[], M:[1.0406, 0.7733, 0.9738, 0.8401, 1.1599, 1.0931, 1.0262], q:[0.5727, 0.3866], qb:[0.4535, 0.7733], phi:[0.4535]] | [X:[], M:[[-18], [2], [-13], [-3], [3], [8], [13]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ M_7$, $ M_1$, $ M_6$, $ M_5$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2^2$, $ \phi_1q_1^2$, $ M_2M_4$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_6$, $ M_4M_7$, $ M_2M_5$, $ M_4M_6$ | . | -1 | t^2.32 + t^2.52 + t^3.08 + t^3.12 + t^3.28 + t^3.48 + t^3.68 + t^3.88 + t^4.04 + t^4.08 + t^4.24 + t^4.44 + t^4.64 + t^4.8 + t^4.84 + t^5.04 + t^5.4 + 2*t^5.6 + t^5.8 - t^6. + t^6.16 + t^6.2 + t^6.24 + t^6.36 + 2*t^6.4 + 2*t^6.56 + t^6.6 + 2*t^6.76 + 2*t^6.96 + 2*t^7.12 + 2*t^7.16 + t^7.2 + 2*t^7.32 + t^7.36 + 2*t^7.52 + 2*t^7.56 + t^7.72 + t^7.76 + t^7.88 + 3*t^7.92 + t^8.08 + 2*t^8.12 + t^8.16 + t^8.28 - t^8.32 + 2*t^8.48 - t^8.52 + t^8.56 + 2*t^8.68 + t^8.83 + 2*t^8.88 - t^4.36/y - t^6.68/y + t^7.24/y - t^7.48/y + t^7.84/y + t^8.04/y + t^8.4/y + t^8.44/y + (2*t^8.6)/y + t^8.64/y + (2*t^8.8)/y - t^4.36*y - t^6.68*y + t^7.24*y - t^7.48*y + t^7.84*y + t^8.04*y + t^8.4*y + t^8.44*y + 2*t^8.6*y + t^8.64*y + 2*t^8.8*y | g1^2*t^2.32 + t^2.52/g1^3 + g1^13*t^3.08 + t^3.12/g1^18 + g1^8*t^3.28 + g1^3*t^3.48 + t^3.68/g1^2 + t^3.88/g1^7 + g1^19*t^4.04 + t^4.08/g1^12 + g1^14*t^4.24 + g1^9*t^4.44 + g1^4*t^4.64 + g1^30*t^4.8 + t^4.84/g1 + t^5.04/g1^6 + g1^15*t^5.4 + 2*g1^10*t^5.6 + g1^5*t^5.8 - t^6. + g1^26*t^6.16 + t^6.2/g1^5 + t^6.24/g1^36 + g1^21*t^6.36 + (2*t^6.4)/g1^10 + 2*g1^16*t^6.56 + t^6.6/g1^15 + 2*g1^11*t^6.76 + 2*g1^6*t^6.96 + 2*g1^32*t^7.12 + 2*g1*t^7.16 + t^7.2/g1^30 + 2*g1^27*t^7.32 + t^7.36/g1^4 + 2*g1^22*t^7.52 + (2*t^7.56)/g1^9 + g1^17*t^7.72 + t^7.76/g1^14 + g1^43*t^7.88 + 3*g1^12*t^7.92 + g1^38*t^8.08 + 2*g1^7*t^8.12 + t^8.16/g1^24 + g1^33*t^8.28 - g1^2*t^8.32 + 2*g1^28*t^8.48 - t^8.52/g1^3 + t^8.56/g1^34 + 2*g1^23*t^8.68 + g1^49*t^8.83 + 2*g1^18*t^8.88 - t^4.36/(g1^4*y) - t^6.68/(g1^2*y) + (g1^14*t^7.24)/y - t^7.48/(g1^22*y) + t^7.84/(g1*y) + t^8.04/(g1^6*y) + (g1^15*t^8.4)/y + t^8.44/(g1^16*y) + (2*g1^10*t^8.6)/y + t^8.64/(g1^21*y) + (2*g1^5*t^8.8)/y - (t^4.36*y)/g1^4 - (t^6.68*y)/g1^2 + g1^14*t^7.24*y - (t^7.48*y)/g1^22 + (t^7.84*y)/g1 + (t^8.04*y)/g1^6 + g1^15*t^8.4*y + (t^8.44*y)/g1^16 + 2*g1^10*t^8.6*y + (t^8.64*y)/g1^21 + 2*g1^5*t^8.8*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 |
|---|---|---|---|---|---|---|---|---|
| 4823 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_3M_7$ + $ M_5M_8$ | 0.6661 | 0.8234 | 0.809 | [X:[], M:[1.0323, 0.7742, 0.9677, 0.8387, 1.1613, 1.0968, 1.0323, 0.8387], q:[0.5806, 0.3871], qb:[0.4516, 0.7742], phi:[0.4516]] | t^2.32 + 2*t^2.52 + 2*t^3.1 + t^3.29 + t^3.68 + t^3.87 + 2*t^4.06 + t^4.26 + t^4.45 + t^4.65 + 3*t^4.84 + 3*t^5.03 + t^5.42 + 4*t^5.61 + t^5.81 - 2*t^6. - t^4.35/y - t^4.35*y | detail | {a: 5121/7688, c: 3165/3844, M1: 32/31, M2: 24/31, M3: 30/31, M4: 26/31, M5: 36/31, M6: 34/31, M7: 32/31, M8: 26/31, q1: 18/31, q2: 12/31, qb1: 14/31, qb2: 24/31, phi1: 14/31} |
| 4824 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_3M_7$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.6726 | 0.8389 | 0.8018 | [X:[], M:[1.046, 0.7727, 0.9777, 0.841, 1.159, 1.0907, 1.0223, 0.7043], q:[0.5676, 0.3863], qb:[0.4547, 0.7727], phi:[0.4547]] | t^2.11 + t^2.32 + t^2.52 + t^3.07 + t^3.14 + t^3.27 + t^3.48 + t^3.68 + t^4.02 + t^4.09 + 2*t^4.23 + 2*t^4.43 + 2*t^4.64 + t^4.77 + t^4.84 + t^5.05 + t^5.18 + t^5.25 + 2*t^5.38 + 3*t^5.59 + 2*t^5.79 - t^6. - t^4.36/y - t^4.36*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1543 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_2\phi_1q_2^2$ | 0.6562 | 0.8056 | 0.8146 | [X:[], M:[0.994, 0.7784, 0.9401, 0.8323, 1.1677, 1.1138], q:[0.6167, 0.3892], qb:[0.4431, 0.7784], phi:[0.4431]] | t^2.34 + t^2.5 + t^2.82 + t^2.98 + t^3.34 + t^3.5 + t^3.66 + t^3.83 + t^3.99 + t^4.19 + t^4.35 + t^4.51 + t^4.67 + t^4.83 + t^4.99 + t^5.03 + t^5.16 + t^5.32 + t^5.64 + t^5.68 + t^5.8 + t^5.84 + t^5.96 - t^6. - t^4.33/y - t^4.33*y | detail |