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 |
---|---|---|---|---|---|---|---|---|---|
3358 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ | 0.5847 | 0.7158 | 0.8169 | [X:[1.3459], M:[0.6541, 1.1153, 0.8078, 1.0384, 0.9616, 1.1922], q:[0.7788, 0.5671], qb:[0.6251, 0.2596], phi:[0.4423]] | [X:[[36]], M:[[-36], [12], [-20], [4], [-4], [20]], q:[[3], [33]], qb:[[-13], [1]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$ | ${}$ | -1 | t^2.48 + t^2.654 + t^2.885 + t^3.115 + t^3.346 + t^3.577 + t^3.807 + t^3.981 + t^4.038 + t^4.212 + t^4.73 + t^4.96 + t^5.134 + t^5.308 + t^5.365 + t^5.539 + t^5.595 + t^5.769 - t^6. + t^6.057 - t^6.174 + t^6.231 + t^6.287 - t^6.405 + 2*t^6.461 + t^6.518 + 3*t^6.692 + t^6.866 + t^6.922 + t^7.153 + t^7.21 - t^7.327 + 2*t^7.384 + t^7.44 - t^7.501 + 3*t^7.614 + t^7.788 + 2*t^7.845 + t^7.962 + t^8.019 + 2*t^8.075 + t^8.193 + t^8.249 + t^8.306 + t^8.423 - 2*t^8.48 + 2*t^8.537 + t^8.597 - 2*t^8.654 + 2*t^8.767 - t^8.828 - 3*t^8.885 + 2*t^8.941 + t^8.998 - t^4.327/y + t^8.134/y + t^8.365/y + t^8.539/y + t^8.595/y + t^8.769/y + t^8.826/y - t^4.327*y + t^8.134*y + t^8.365*y + t^8.539*y + t^8.595*y + t^8.769*y + t^8.826*y | g1^34*t^2.48 + t^2.654/g1^12 + t^2.885/g1^4 + g1^4*t^3.115 + g1^12*t^3.346 + g1^20*t^3.577 + g1^28*t^3.807 + t^3.981/g1^18 + g1^36*t^4.038 + t^4.212/g1^10 + g1^60*t^4.73 + g1^68*t^4.96 + g1^22*t^5.134 + t^5.308/g1^24 + g1^30*t^5.365 + t^5.539/g1^16 + g1^38*t^5.595 + t^5.769/g1^8 - t^6. + g1^54*t^6.057 - t^6.174/g1^46 + g1^8*t^6.231 + g1^62*t^6.287 - t^6.405/g1^38 + 2*g1^16*t^6.461 + g1^70*t^6.518 + 3*g1^24*t^6.692 + t^6.866/g1^22 + g1^32*t^6.922 + g1^40*t^7.153 + g1^94*t^7.21 - t^7.327/g1^6 + 2*g1^48*t^7.384 + g1^102*t^7.44 - t^7.501/g1^52 + 3*g1^56*t^7.614 + g1^10*t^7.788 + 2*g1^64*t^7.845 + t^7.962/g1^36 + g1^18*t^8.019 + 2*g1^72*t^8.075 + t^8.193/g1^28 + g1^26*t^8.249 + g1^80*t^8.306 + t^8.423/g1^20 - 2*g1^34*t^8.48 + 2*g1^88*t^8.537 + t^8.597/g1^66 - (2*t^8.654)/g1^12 + 2*g1^96*t^8.767 - t^8.828/g1^58 - (3*t^8.885)/g1^4 + 2*g1^50*t^8.941 + g1^104*t^8.998 - t^4.327/(g1^6*y) + (g1^22*t^8.134)/y + (g1^30*t^8.365)/y + t^8.539/(g1^16*y) + (g1^38*t^8.595)/y + t^8.769/(g1^8*y) + (g1^46*t^8.826)/y - (t^4.327*y)/g1^6 + g1^22*t^8.134*y + g1^30*t^8.365*y + (t^8.539*y)/g1^16 + g1^38*t^8.595*y + (t^8.769*y)/g1^8 + g1^46*t^8.826*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 |
---|---|---|---|---|---|---|---|---|
3808 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{4}M_{7}$ | 0.5884 | 0.7213 | 0.8157 | [X:[1.353], M:[0.647, 1.1177, 0.8039, 1.0392, 0.9608, 1.1961, 0.9608], q:[0.7794, 0.5736], qb:[0.6225, 0.2598], phi:[0.4412]] | t^2.5 + t^2.647 + 2*t^2.882 + t^3.353 + t^3.588 + t^3.824 + t^3.97 + t^4.059 + t^4.206 + t^4.765 + t^5. + t^5.147 + t^5.294 + 2*t^5.383 + 2*t^5.529 + 2*t^5.765 - 2*t^6. - t^4.323/y - t^4.323*y | detail | |
3802 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0.5737 | 0.6954 | 0.825 | [X:[1.4737], M:[0.5263, 1.1579, 0.7368, 1.0526, 0.9474, 1.2632], q:[0.7895, 0.6842], qb:[0.5789, 0.2632], phi:[0.4211]] | t^2.526 + 2*t^2.842 + t^3.158 + t^3.474 + 2*t^3.789 + 2*t^4.105 + t^4.421 + t^5.053 + 3*t^5.368 + 2*t^5.684 - t^6. - t^4.263/y - t^4.263*y | detail | {a: 62961/109744, c: 38159/54872, X1: 28/19, M1: 10/19, M2: 22/19, M3: 14/19, M4: 20/19, M5: 18/19, M6: 24/19, q1: 15/19, q2: 13/19, qb1: 11/19, qb2: 5/19, phi1: 8/19} |
3807 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}M_{7}$ | 0.5812 | 0.7104 | 0.8181 | [X:[1.3389], M:[0.6611, 1.113, 0.8117, 1.0377, 0.9623, 1.1883, 1.0377], q:[0.7782, 0.5607], qb:[0.6276, 0.2594], phi:[0.4435]] | t^2.46 + t^2.661 + 2*t^3.113 + t^3.339 + t^3.565 + t^3.791 + t^3.992 + t^4.017 + t^4.218 + t^4.694 + t^4.92 + t^5.121 + t^5.322 + 2*t^5.573 + t^5.774 - 2*t^6. - t^4.331/y - t^4.331*y | detail | |
3814 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6047 | 0.7522 | 0.8039 | [X:[1.3607], M:[0.6393, 1.1202, 0.7996, 1.0401, 0.9599, 1.2004, 0.7195], q:[0.7801, 0.5806], qb:[0.6197, 0.26], phi:[0.4399]] | t^2.158 + t^2.522 + t^2.639 + t^2.88 + t^3.12 + t^3.361 + t^3.601 + t^3.959 + t^4.082 + t^4.199 + t^4.317 + t^4.68 + t^4.798 + t^4.803 + t^5.038 + t^5.044 + t^5.161 + 2*t^5.279 + t^5.402 + 2*t^5.519 + t^5.642 + 2*t^5.76 - t^6. - t^4.32/y - t^4.32*y | detail | |
3816 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6056 | 0.7571 | 0.7998 | [X:[1.3448], M:[0.6552, 1.1149, 0.8084, 1.0383, 0.9617, 1.1916, 0.6724], q:[0.7787, 0.5661], qb:[0.6255, 0.2596], phi:[0.4425]] | t^2.017 + t^2.477 + t^2.655 + t^2.885 + t^3.115 + t^3.345 + t^3.575 + t^3.805 + 2*t^4.034 + t^4.213 + t^4.494 + t^4.672 + t^4.724 + t^4.902 + t^4.954 + 2*t^5.132 + t^5.31 + 2*t^5.362 + t^5.54 + 2*t^5.592 + t^5.77 + t^5.822 - t^6. - t^4.328/y - t^4.328*y | detail | |
3805 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.5746 | 0.7002 | 0.8206 | [X:[1.3271], M:[0.6729, 1.109, 0.8183, 1.0363, 0.9637, 1.1817, 1.109], q:[0.7773, 0.5498], qb:[0.6319, 0.2591], phi:[0.4455]] | t^2.427 + t^2.891 + t^3.109 + 2*t^3.327 + t^3.545 + t^3.763 + t^3.981 + t^4.009 + t^4.227 + t^4.635 + t^4.853 + t^5.318 + t^5.536 + t^5.754 + t^5.972 - 2*t^6. - t^4.336/y - t^4.336*y | detail | |
3813 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 0.5628 | 0.6804 | 0.8271 | [X:[1.5294], M:[0.4706, 1.1765, 0.7059, 1.0588, 0.9412, 1.2941], q:[0.7941, 0.7353], qb:[0.5588, 0.2647], phi:[0.4118]] | t^2.471 + t^2.824 + t^3. + t^3.176 + t^3.529 + t^3.706 + t^3.882 + t^4.059 + t^4.235 + t^4.588 + t^4.941 + t^5.294 + 2*t^5.647 - t^4.235/y - t^4.235*y | detail | {a: 22119/39304, c: 26743/39304, X1: 26/17, M1: 8/17, M2: 20/17, M3: 12/17, M4: 18/17, M5: 16/17, M6: 22/17, q1: 27/34, q2: 25/34, qb1: 19/34, qb2: 9/34, phi1: 7/17} |
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 |
---|---|---|---|---|---|---|---|---|---|
2827 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ | 0.6011 | 0.7433 | 0.8087 | [X:[1.3686], M:[0.6314, 1.1229, 0.7952, 1.041, 0.959], q:[0.7807, 0.5879], qb:[0.6169, 0.2602], phi:[0.4386]] | t^2.386 + t^2.544 + t^2.631 + t^2.877 + t^3.123 + t^3.369 + t^3.86 + t^3.947 + t^4.106 + t^4.193 + t^4.771 + t^4.843 + t^4.93 + t^5.017 + t^5.089 + t^5.176 + 2*t^5.263 + t^5.422 + 2*t^5.509 + t^5.667 + 2*t^5.754 - t^6. - t^4.316/y - t^4.316*y | detail |