Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
45939	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$	0.6485	0.7963	0.8144	[M:[0.7078, 0.6913, 0.7007, 1.2958], q:[0.4766, 0.8157], qb:[0.8322, 0.4671], phi:[0.3521]]	[M:[[-4, -3, 1], [-3, -4, 1], [0, -1, -1], [2, 2, 0]], q:[[3, 3, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[-1, -1, 0]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$	${}$	-3	t^2.074 + t^2.102 + t^2.123 + t^2.831 + t^3.848 + t^3.859 + 2*t^3.887 + t^3.916 + t^4.148 + t^4.176 + t^4.197 + t^4.204 + t^4.225 + t^4.247 + t^4.905 + t^4.933 + t^4.944 + t^4.954 + t^5.662 + t^5.922 + t^5.933 + t^5.951 + 2*t^5.961 + t^5.982 + 2*t^5.989 - 3*t^6. + t^6.011 + t^6.018 - t^6.028 + t^6.221 + t^6.25 + t^6.271 + t^6.278 + t^6.299 + t^6.306 + t^6.32 + t^6.327 + t^6.349 + t^6.37 + t^6.679 + t^6.69 + 2*t^6.718 + t^6.747 + t^6.979 + t^7.007 + t^7.035 - t^7.056 + t^7.077 - t^7.085 - t^7.095 + t^7.697 + t^7.707 + t^7.718 + 2*t^7.736 + t^7.746 + t^7.764 + 2*t^7.775 + t^7.803 - t^7.814 + t^7.831 + t^7.996 + t^8.007 + t^8.024 + 2*t^8.035 + t^8.053 + t^8.056 + 2*t^8.063 - 3*t^8.074 + t^8.084 + 2*t^8.092 - 4*t^8.102 + t^8.105 + t^8.113 + t^8.12 - 3*t^8.123 - t^8.13 + t^8.134 - t^8.152 + t^8.295 + t^8.323 + t^8.345 + t^8.352 + t^8.373 + t^8.38 + t^8.394 + t^8.401 + t^8.408 + t^8.422 + t^8.43 + t^8.444 + t^8.451 + t^8.472 + 2*t^8.493 + t^8.753 + t^8.764 + t^8.781 + 2*t^8.792 + t^8.813 + t^8.82 - 3*t^8.831 + t^8.849 - t^8.859 - t^8.87 - t^4.056/y - t^6.13/y - t^6.158/y - t^6.18/y + t^7.176/y + t^7.197/y + t^7.225/y + t^7.905/y + (2*t^7.933)/y + (2*t^7.954)/y + t^7.983/y - t^8.204/y - t^8.232/y - t^8.253/y - t^8.261/y - t^8.282/y - t^8.303/y + t^8.922/y + t^8.933/y + t^8.951/y + (3*t^8.961)/y + t^8.972/y + t^8.982/y + (3*t^8.989)/y - t^4.056*y - t^6.13*y - t^6.158*y - t^6.18*y + t^7.176*y + t^7.197*y + t^7.225*y + t^7.905*y + 2*t^7.933*y + 2*t^7.954*y + t^7.983*y - t^8.204*y - t^8.232*y - t^8.253*y - t^8.261*y - t^8.282*y - t^8.303*y + t^8.922*y + t^8.933*y + t^8.951*y + 3*t^8.961*y + t^8.972*y + t^8.982*y + 3*t^8.989*y	(g3*t^2.074)/(g1^3*g2^4) + t^2.102/(g2*g3) + (g3*t^2.123)/(g1^4*g2^3) + g1^3*g2^3*t^2.831 + g1*g3*t^3.848 + (g3^2*t^3.859)/(g1*g2) + 2*g1^2*g2^2*t^3.887 + (g1^5*g2^5*t^3.916)/g3^2 + (g3^2*t^4.148)/(g1^6*g2^8) + t^4.176/(g1^3*g2^5) + (g3^2*t^4.197)/(g1^7*g2^7) + t^4.204/(g2^2*g3^2) + t^4.225/(g1^4*g2^4) + (g3^2*t^4.247)/(g1^8*g2^6) + (g3*t^4.905)/g2 + (g1^3*g2^2*t^4.933)/g3 + g1*g2*t^4.944 + (g3*t^4.954)/g1 + g1^6*g2^6*t^5.662 + (g3^2*t^5.922)/(g1^2*g2^4) + (g3^3*t^5.933)/(g1^4*g2^5) + (g1*t^5.951)/g2 + (2*g3*t^5.961)/(g1*g2^2) + (g3^3*t^5.982)/(g1^5*g2^4) + (2*g1^2*g2*t^5.989)/g3 - 3*t^6. + (g3*t^6.011)/(g1^2*g2) + (g1^5*g2^4*t^6.018)/g3^3 - (g1^3*g2^3*t^6.028)/g3^2 + (g3^3*t^6.221)/(g1^9*g2^12) + (g3*t^6.25)/(g1^6*g2^9) + (g3^3*t^6.271)/(g1^10*g2^11) + t^6.278/(g1^3*g2^6*g3) + (g3*t^6.299)/(g1^7*g2^8) + t^6.306/(g2^3*g3^3) + (g3^3*t^6.32)/(g1^11*g2^10) + t^6.327/(g1^4*g2^5*g3) + (g3*t^6.349)/(g1^8*g2^7) + (g3^3*t^6.37)/(g1^12*g2^9) + g1^4*g2^3*g3*t^6.679 + g1^2*g2^2*g3^2*t^6.69 + 2*g1^5*g2^5*t^6.718 + (g1^8*g2^8*t^6.747)/g3^2 + (g3^2*t^6.979)/(g1^3*g2^5) + t^7.007/g2^2 + (g1^3*g2*t^7.035)/g3^2 - t^7.056/(g1*g2) + (g3^2*t^7.077)/(g1^5*g2^3) - (g1^2*g2^2*t^7.085)/g3^2 - (g2*t^7.095)/g3 + g1^2*g3^2*t^7.697 + (g3^3*t^7.707)/g2 + (g3^4*t^7.718)/(g1^2*g2^2) + 2*g1^3*g2^2*g3*t^7.736 + g1*g2*g3^2*t^7.746 + (g1^6*g2^5*t^7.764)/g3 + 2*g1^4*g2^4*t^7.775 + (g1^7*g2^7*t^7.803)/g3^2 - (g1^5*g2^6*t^7.814)/g3 + (g1^10*g2^10*t^7.831)/g3^4 + (g3^3*t^7.996)/(g1^5*g2^8) + (g3^4*t^8.007)/(g1^7*g2^9) + (g3*t^8.024)/(g1^2*g2^5) + (2*g3^2*t^8.035)/(g1^4*g2^6) + (g1*t^8.053)/(g2^2*g3) + (g3^4*t^8.056)/(g1^8*g2^8) + (2*t^8.063)/(g1*g2^3) - (3*g3*t^8.074)/(g1^3*g2^4) + (g3^2*t^8.084)/(g1^5*g2^5) + (2*g1^2*t^8.092)/g3^2 - (4*t^8.102)/(g2*g3) + (g3^4*t^8.105)/(g1^9*g2^7) + t^8.113/(g1^2*g2^2) + (g1^5*g2^3*t^8.12)/g3^4 - (3*g3*t^8.123)/(g1^4*g2^3) - (g1^3*g2^2*t^8.13)/g3^3 + (g3^2*t^8.134)/(g1^6*g2^4) - t^8.152/(g1*g3) + (g3^4*t^8.295)/(g1^12*g2^16) + (g3^2*t^8.323)/(g1^9*g2^13) + (g3^4*t^8.345)/(g1^13*g2^15) + t^8.352/(g1^6*g2^10) + (g3^2*t^8.373)/(g1^10*g2^12) + t^8.38/(g1^3*g2^7*g3^2) + (g3^4*t^8.394)/(g1^14*g2^14) + t^8.401/(g1^7*g2^9) + t^8.408/(g2^4*g3^4) + (g3^2*t^8.422)/(g1^11*g2^11) + t^8.43/(g1^4*g2^6*g3^2) + (g3^4*t^8.444)/(g1^15*g2^13) + t^8.451/(g1^8*g2^8) + (g3^2*t^8.472)/(g1^12*g2^10) + g1^9*g2^9*t^8.493 + (g3^4*t^8.493)/(g1^16*g2^12) + (g1*g3^2*t^8.753)/g2 + (g3^3*t^8.764)/(g1*g2^2) + g1^4*g2^2*t^8.781 + 2*g1^2*g2*g3*t^8.792 + (g3^3*t^8.813)/(g1^2*g2) + (g1^5*g2^4*t^8.82)/g3 - 3*g1^3*g2^3*t^8.831 + (g1^8*g2^7*t^8.849)/g3^3 - (g1^6*g2^6*t^8.859)/g3^2 - (g1^4*g2^5*t^8.87)/g3 - t^4.056/(g1*g2*y) - (g3*t^6.13)/(g1^4*g2^5*y) - t^6.158/(g1*g2^2*g3*y) - (g3*t^6.18)/(g1^5*g2^4*y) + t^7.176/(g1^3*g2^5*y) + (g3^2*t^7.197)/(g1^7*g2^7*y) + t^7.225/(g1^4*g2^4*y) + (g3*t^7.905)/(g2*y) + (2*g1^3*g2^2*t^7.933)/(g3*y) + (2*g3*t^7.954)/(g1*y) + (g1^2*g2^3*t^7.983)/(g3*y) - (g3^2*t^8.204)/(g1^7*g2^9*y) - t^8.232/(g1^4*g2^6*y) - (g3^2*t^8.253)/(g1^8*g2^8*y) - t^8.261/(g1*g2^3*g3^2*y) - t^8.282/(g1^5*g2^5*y) - (g3^2*t^8.303)/(g1^9*g2^7*y) + (g3^2*t^8.922)/(g1^2*g2^4*y) + (g3^3*t^8.933)/(g1^4*g2^5*y) + (g1*t^8.951)/(g2*y) + (3*g3*t^8.961)/(g1*g2^2*y) + (g3^2*t^8.972)/(g1^3*g2^3*y) + (g3^3*t^8.982)/(g1^5*g2^4*y) + (3*g1^2*g2*t^8.989)/(g3*y) - (t^4.056*y)/(g1*g2) - (g3*t^6.13*y)/(g1^4*g2^5) - (t^6.158*y)/(g1*g2^2*g3) - (g3*t^6.18*y)/(g1^5*g2^4) + (t^7.176*y)/(g1^3*g2^5) + (g3^2*t^7.197*y)/(g1^7*g2^7) + (t^7.225*y)/(g1^4*g2^4) + (g3*t^7.905*y)/g2 + (2*g1^3*g2^2*t^7.933*y)/g3 + (2*g3*t^7.954*y)/g1 + (g1^2*g2^3*t^7.983*y)/g3 - (g3^2*t^8.204*y)/(g1^7*g2^9) - (t^8.232*y)/(g1^4*g2^6) - (g3^2*t^8.253*y)/(g1^8*g2^8) - (t^8.261*y)/(g1*g2^3*g3^2) - (t^8.282*y)/(g1^5*g2^5) - (g3^2*t^8.303*y)/(g1^9*g2^7) + (g3^2*t^8.922*y)/(g1^2*g2^4) + (g3^3*t^8.933*y)/(g1^4*g2^5) + (g1*t^8.951*y)/g2 + (3*g3*t^8.961*y)/(g1*g2^2) + (g3^2*t^8.972*y)/(g1^3*g2^3) + (g3^3*t^8.982*y)/(g1^5*g2^4) + (3*g1^2*g2*t^8.989*y)/g3

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
46209	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{2}^{2}$	0.5924	0.7275	0.8144	[M:[0.7021, 1.0, 0.845, 1.2265], q:[0.3423, 0.9556], qb:[0.6577, 0.4974], phi:[0.3868]]	t^2.106 + t^2.519 + t^2.535 + t^3. + t^3.214 + 2*t^3.679 + t^4.145 + t^4.213 + t^4.359 + t^4.625 + t^4.641 + t^4.84 + t^5.038 + t^5.054 + t^5.07 + t^5.106 + t^5.519 + t^5.733 + t^5.749 + t^5.786 - 2*t^6. - t^4.16/y - t^4.16*y	detail
46202	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$	0.6484	0.7956	0.815	[M:[0.6992, 0.6992, 0.7069, 1.297], q:[0.4765, 0.8242], qb:[0.8242, 0.4689], phi:[0.3515]]	2*t^2.098 + t^2.121 + t^2.836 + t^3.868 + t^3.879 + 2*t^3.891 + t^3.914 + 3*t^4.195 + 2*t^4.218 + t^4.241 + 2*t^4.934 + t^4.945 + t^4.957 + t^5.673 + 2*t^5.966 + t^5.977 + 3*t^5.989 - 2*t^6. - t^4.055/y - t^4.055*y	detail
46234	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$	0.6689	0.8351	0.801	[M:[0.7072, 0.6951, 0.6911, 1.3008, 0.6951], q:[0.4736, 0.8192], qb:[0.8313, 0.4776], phi:[0.3496]]	t^2.073 + 2*t^2.085 + t^2.122 + t^2.854 + 2*t^3.89 + 2*t^3.902 + t^4.147 + 2*t^4.159 + 3*t^4.171 + t^4.195 + 2*t^4.207 + t^4.243 + t^4.927 + 2*t^4.939 + t^4.951 + t^4.975 + t^5.707 + 2*t^5.964 + 5*t^5.976 + 2*t^5.988 - 3*t^6. - t^4.049/y - t^4.049*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
45872	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$	0.669	0.8353	0.8009	[M:[0.7026, 0.6881, 0.6965], q:[0.4795, 0.8179], qb:[0.8324, 0.4712], phi:[0.3498]]	t^2.064 + t^2.089 + t^2.099 + t^2.108 + t^2.852 + t^3.867 + t^3.876 + t^3.901 + t^3.926 + t^4.129 + t^4.154 + t^4.163 + t^4.172 + t^4.179 + t^4.188 + 2*t^4.197 + t^4.206 + t^4.216 + t^4.916 + t^4.941 + 2*t^4.951 + t^4.96 + t^5.704 + t^5.931 + t^5.941 + t^5.956 + 2*t^5.966 + t^5.975 + t^5.984 + t^5.991 - 2*t^6. - t^4.049/y - t^4.049*y	detail