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 |
---|---|---|---|---|---|---|---|---|---|
4762 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{2}^{2}$ | 0.628 | 0.8135 | 0.772 | [M:[0.9348, 1.0, 1.1929, 0.7418, 1.2582, 0.7745, 0.7418, 0.8071], q:[0.5652, 0.5], qb:[0.2418, 0.7582], phi:[0.4837]] | [M:[[-8], [0], [-7], [-1], [1], [3], [-1], [7]], q:[[8], [0]], qb:[[-1], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{8}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$ | ${}$ | -3 | 2*t^2.226 + t^2.323 + t^2.421 + t^2.804 + 2*t^2.902 + t^3. + t^3.872 + t^3.97 + 4*t^4.451 + 2*t^4.549 + 4*t^4.647 + t^4.745 + 2*t^4.842 + t^5.03 + 5*t^5.128 + 4*t^5.226 + 3*t^5.323 + t^5.421 + t^5.609 + 2*t^5.707 + 3*t^5.804 + t^5.902 - 3*t^6. + t^6.098 + t^6.196 + 2*t^6.293 + t^6.391 - t^6.481 - t^6.579 + 4*t^6.677 + 4*t^6.774 + 8*t^6.872 + 3*t^6.97 + 5*t^7.068 + 2*t^7.166 + t^7.255 + 2*t^7.264 + 8*t^7.353 + 6*t^7.451 + 6*t^7.549 + 4*t^7.647 + 4*t^7.745 + t^7.834 + 2*t^7.842 + 3*t^7.932 + 7*t^8.03 + 5*t^8.128 - 4*t^8.226 - 2*t^8.323 + t^8.413 - 4*t^8.421 + 2*t^8.511 + t^8.519 + 4*t^8.609 + 2*t^8.617 + 2*t^8.707 + 3*t^8.715 - 4*t^8.804 + 2*t^8.813 - 4*t^8.902 - t^4.451/y - t^6.677/y - t^6.774/y - t^7.255/y - t^7.353/y + t^7.451/y + (3*t^7.549)/y + (3*t^7.647)/y + t^7.745/y + (2*t^8.03)/y + (6*t^8.128)/y + (6*t^8.226)/y + (3*t^8.323)/y + t^8.421/y + (2*t^8.707)/y + (2*t^8.804)/y + t^8.902/y - t^4.451*y - t^6.677*y - t^6.774*y - t^7.255*y - t^7.353*y + t^7.451*y + 3*t^7.549*y + 3*t^7.647*y + t^7.745*y + 2*t^8.03*y + 6*t^8.128*y + 6*t^8.226*y + 3*t^8.323*y + t^8.421*y + 2*t^8.707*y + 2*t^8.804*y + t^8.902*y | (2*t^2.226)/g1 + g1^3*t^2.323 + g1^7*t^2.421 + t^2.804/g1^8 + (2*t^2.902)/g1^4 + t^3. + g1^5*t^3.872 + g1^9*t^3.97 + (4*t^4.451)/g1^2 + 2*g1^2*t^4.549 + 4*g1^6*t^4.647 + g1^10*t^4.745 + 2*g1^14*t^4.842 + t^5.03/g1^9 + (5*t^5.128)/g1^5 + (4*t^5.226)/g1 + 3*g1^3*t^5.323 + g1^7*t^5.421 + t^5.609/g1^16 + (2*t^5.707)/g1^12 + (3*t^5.804)/g1^8 + t^5.902/g1^4 - 3*t^6. + g1^4*t^6.098 + g1^8*t^6.196 + 2*g1^12*t^6.293 + g1^16*t^6.391 - t^6.481/g1^11 - t^6.579/g1^7 + (4*t^6.677)/g1^3 + 4*g1*t^6.774 + 8*g1^5*t^6.872 + 3*g1^9*t^6.97 + 5*g1^13*t^7.068 + 2*g1^17*t^7.166 + t^7.255/g1^10 + 2*g1^21*t^7.264 + (8*t^7.353)/g1^6 + (6*t^7.451)/g1^2 + 6*g1^2*t^7.549 + 4*g1^6*t^7.647 + 4*g1^10*t^7.745 + t^7.834/g1^17 + 2*g1^14*t^7.842 + (3*t^7.932)/g1^13 + (7*t^8.03)/g1^9 + (5*t^8.128)/g1^5 - (4*t^8.226)/g1 - 2*g1^3*t^8.323 + t^8.413/g1^24 - 4*g1^7*t^8.421 + (2*t^8.511)/g1^20 + g1^11*t^8.519 + (4*t^8.609)/g1^16 + 2*g1^15*t^8.617 + (2*t^8.707)/g1^12 + 3*g1^19*t^8.715 - (4*t^8.804)/g1^8 + 2*g1^23*t^8.813 - (4*t^8.902)/g1^4 - t^4.451/(g1^2*y) - t^6.677/(g1^3*y) - (g1*t^6.774)/y - t^7.255/(g1^10*y) - t^7.353/(g1^6*y) + t^7.451/(g1^2*y) + (3*g1^2*t^7.549)/y + (3*g1^6*t^7.647)/y + (g1^10*t^7.745)/y + (2*t^8.03)/(g1^9*y) + (6*t^8.128)/(g1^5*y) + (6*t^8.226)/(g1*y) + (3*g1^3*t^8.323)/y + (g1^7*t^8.421)/y + (2*t^8.707)/(g1^12*y) + (2*t^8.804)/(g1^8*y) + t^8.902/(g1^4*y) - (t^4.451*y)/g1^2 - (t^6.677*y)/g1^3 - g1*t^6.774*y - (t^7.255*y)/g1^10 - (t^7.353*y)/g1^6 + (t^7.451*y)/g1^2 + 3*g1^2*t^7.549*y + 3*g1^6*t^7.647*y + g1^10*t^7.745*y + (2*t^8.03*y)/g1^9 + (6*t^8.128*y)/g1^5 + (6*t^8.226*y)/g1 + 3*g1^3*t^8.323*y + g1^7*t^8.421*y + (2*t^8.707*y)/g1^12 + (2*t^8.804*y)/g1^8 + (t^8.902*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
6356 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{2}^{2}$ + ${ }M_{9}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6484 | 0.8521 | 0.761 | [M:[0.9279, 1.0, 1.1869, 0.741, 1.259, 0.777, 0.741, 0.8131, 0.7049], q:[0.5721, 0.5], qb:[0.241, 0.759], phi:[0.482]] | t^2.115 + 2*t^2.223 + t^2.331 + t^2.439 + t^2.784 + 2*t^2.892 + t^3. + t^3.993 + t^4.23 + 2*t^4.338 + 5*t^4.446 + 3*t^4.554 + 4*t^4.662 + t^4.77 + 2*t^4.878 + t^4.899 + 3*t^5.007 + 6*t^5.115 + 4*t^5.223 + 3*t^5.331 + t^5.439 + t^5.567 + 2*t^5.676 + 3*t^5.784 + t^5.892 - 3*t^6. - t^4.446/y - t^4.446*y | detail | |
6357 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{2}^{2}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.6489 | 0.8546 | 0.7592 | [M:[0.9323, 1.0, 1.1908, 0.7415, 1.2585, 0.7754, 0.7415, 0.8092, 0.6739], q:[0.5677, 0.5], qb:[0.2415, 0.7585], phi:[0.4831]] | t^2.022 + 2*t^2.225 + t^2.326 + t^2.428 + t^2.797 + 2*t^2.899 + t^3. + t^3.877 + t^4.043 + 2*t^4.246 + t^4.348 + 5*t^4.449 + 2*t^4.551 + 4*t^4.652 + t^4.754 + t^4.819 + 2*t^4.855 + 2*t^4.92 + 2*t^5.022 + 5*t^5.123 + 4*t^5.225 + 3*t^5.326 + t^5.428 + t^5.594 + 2*t^5.696 + 3*t^5.797 + 2*t^5.899 - 3*t^6. - t^4.449/y - t^4.449*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
2637 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ | 0.6955 | 0.8765 | 0.7936 | [M:[1.013, 0.7766, 0.9542, 0.8354, 1.1646, 0.7172, 0.8354, 1.0458], q:[0.5987, 0.3883], qb:[0.4471, 0.7763], phi:[0.4474]] | t^2.152 + t^2.33 + 2*t^2.506 + t^2.684 + t^3.039 + t^3.137 + t^3.672 + t^4.025 + t^4.125 + 2*t^4.303 + t^4.48 + t^4.481 + 2*t^4.658 + t^4.66 + 3*t^4.836 + t^4.934 + 3*t^5.012 + t^5.014 + 3*t^5.191 + t^5.289 + t^5.369 + t^5.467 + t^5.545 + 2*t^5.644 + t^5.723 + t^5.822 - 3*t^6. - t^4.342/y - t^4.342*y | detail |