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 |
---|---|---|---|---|---|---|---|---|---|
722 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ M_1M_4$ + $ M_5q_1q_2$ | 0.6916 | 0.8434 | 0.82 | [X:[], M:[1.0179, 1.0, 0.9821, 0.9821, 0.7321], q:[0.7857, 0.4821], qb:[0.5, 0.5179], phi:[0.4286]] | [X:[], M:[[1], [0], [-1], [-1], [1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 | {a: 30363/43904, c: 37027/43904, M1: 57/56, M2: 1, M3: 55/56, M4: 55/56, M5: 41/56, q1: 11/14, q2: 27/56, qb1: 1/2, qb2: 29/56, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ \phi_1^2$, $ M_3$, $ M_4$, $ M_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_2^2$, $ M_5\phi_1^2$, $ M_3M_5$, $ M_4M_5$, $ \phi_1^4$, $ M_2M_5$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_2\phi_1^2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$ | . | -2 | t^2.2 + t^2.57 + 2*t^2.95 + t^3. + t^3.86 + t^3.91 + t^4.18 + t^4.23 + 2*t^4.29 + t^4.34 + 2*t^4.39 + t^4.77 + 3*t^5.14 + t^5.2 + 2*t^5.52 + t^5.57 + 2*t^5.89 - 2*t^6. - t^6.05 + t^6.37 - t^6.38 + t^6.43 + 2*t^6.48 + t^6.54 + 2*t^6.59 + t^6.75 + 2*t^6.8 + 3*t^6.86 + t^6.91 + 2*t^6.96 + 2*t^7.12 + 2*t^7.18 + 2*t^7.23 + t^7.29 + 3*t^7.34 + t^7.39 - t^7.61 - t^7.66 + 2*t^7.71 + t^7.77 + 4*t^8.09 + 2*t^8.14 - t^8.2 + t^8.3 + t^8.36 + t^8.41 + 4*t^8.46 + t^8.52 + 3*t^8.68 + 2*t^8.73 + 3*t^8.79 + 2*t^8.84 - t^8.89 - 5*t^8.95 - t^4.29/y - t^6.48/y - t^6.86/y - t^7.23/y + t^7.34/y + t^7.71/y + t^7.77/y + t^8.09/y + (2*t^8.14)/y + t^8.2/y + (2*t^8.52)/y + t^8.57/y - t^8.68/y + t^8.89/y + (2*t^8.95)/y - t^4.29*y - t^6.48*y - t^6.86*y - t^7.23*y + t^7.34*y + t^7.71*y + t^7.77*y + t^8.09*y + 2*t^8.14*y + t^8.2*y + 2*t^8.52*y + t^8.57*y - t^8.68*y + t^8.89*y + 2*t^8.95*y | g1*t^2.2 + t^2.57 + (2*t^2.95)/g1 + t^3. + t^3.86 + g1*t^3.91 + t^4.18/g1^2 + t^4.23/g1 + 2*t^4.29 + g1*t^4.34 + 2*g1^2*t^4.39 + g1*t^4.77 + 3*t^5.14 + g1*t^5.2 + (2*t^5.52)/g1 + t^5.57 + (2*t^5.89)/g1^2 - 2*t^6. - g1*t^6.05 + t^6.37/g1 - t^6.38/g1 + t^6.43 + 2*g1*t^6.48 + g1^2*t^6.54 + 2*g1^3*t^6.59 + t^6.75/g1^2 + (2*t^6.8)/g1 + 3*t^6.86 + g1*t^6.91 + 2*g1^2*t^6.96 + (2*t^7.12)/g1^3 + (2*t^7.18)/g1^2 + (2*t^7.23)/g1 + t^7.29 + 3*g1*t^7.34 + g1^2*t^7.39 - t^7.61/g1^2 - t^7.66/g1 + 2*t^7.71 + g1*t^7.77 + (4*t^8.09)/g1 + 2*t^8.14 - g1*t^8.2 + g1^3*t^8.3 + t^8.36/g1^4 + t^8.41/g1^3 + (4*t^8.46)/g1^2 + t^8.52/g1 + 3*g1^2*t^8.68 + 2*g1^3*t^8.73 + 3*g1^4*t^8.79 + (2*t^8.84)/g1^3 - t^8.89/g1^2 - (5*t^8.95)/g1 - t^4.29/y - (g1*t^6.48)/y - t^6.86/y - t^7.23/(g1*y) + (g1*t^7.34)/y + t^7.71/y + (g1*t^7.77)/y + t^8.09/(g1*y) + (2*t^8.14)/y + (g1*t^8.2)/y + (2*t^8.52)/(g1*y) + t^8.57/y - (g1^2*t^8.68)/y + t^8.89/(g1^2*y) + (2*t^8.95)/(g1*y) - t^4.29*y - g1*t^6.48*y - t^6.86*y - (t^7.23*y)/g1 + g1*t^7.34*y + t^7.71*y + g1*t^7.77*y + (t^8.09*y)/g1 + 2*t^8.14*y + g1*t^8.2*y + (2*t^8.52*y)/g1 + t^8.57*y - g1^2*t^8.68*y + (t^8.89*y)/g1^2 + (2*t^8.95*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|
1188 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ M_1M_4$ + $ M_5q_1q_2$ + $ M_6q_1\tilde{q}_1$ | 0.7118 | 0.8814 | 0.8075 | [X:[], M:[1.0179, 1.0, 0.9821, 0.9821, 0.7321, 0.7143], q:[0.7857, 0.4821], qb:[0.5, 0.5179], phi:[0.4286]] | t^2.14 + t^2.2 + t^2.57 + 2*t^2.95 + t^3. + t^3.91 + t^4.18 + t^4.23 + 3*t^4.29 + 2*t^4.34 + 2*t^4.39 + t^4.71 + t^4.77 + 2*t^5.09 + 4*t^5.14 + t^5.2 + 2*t^5.52 + t^5.57 + 2*t^5.89 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 31251/43904, c: 38699/43904, M1: 57/56, M2: 1, M3: 55/56, M4: 55/56, M5: 41/56, M6: 5/7, q1: 11/14, q2: 27/56, qb1: 1/2, qb2: 29/56, phi1: 3/7} |
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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
433 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ M_1M_4$ | 0.672 | 0.8077 | 0.832 | [X:[], M:[1.0276, 1.0, 0.9724, 0.9724], q:[0.7857, 0.4724], qb:[0.5, 0.5276], phi:[0.4286]] | t^2.57 + 2*t^2.92 + t^3. + t^3.77 + t^3.86 + t^3.94 + t^4.12 + t^4.2 + 2*t^4.29 + t^4.37 + t^4.45 + t^5.14 + 2*t^5.49 + t^5.57 + 2*t^5.83 - 2*t^6. - t^4.29/y - t^4.29*y | detail |