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
181	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$	0.6485	0.7963	0.8144	[M:[0.6913, 1.2958, 0.7078, 0.7007], q:[0.8352, 0.8127], qb:[0.4736, 0.4701], phi:[0.3521]]	[M:[[1, -4, -1], [0, 2, 2], [0, 1, -5], [0, -5, 1]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	${}$	-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	(g1*t^2.074)/(g2^4*g3) + (g3*t^2.102)/g2^5 + (g2*t^2.123)/g3^5 + g2^3*g3^3*t^2.831 + g1*g3^3*t^3.848 + g1*g2^3*t^3.859 + 2*g2^2*g3^2*t^3.887 + (g2*g3^4*t^3.916)/g1 + (g1^2*t^4.148)/(g2^8*g3^2) + (g1*t^4.176)/g2^9 + (g1*t^4.197)/(g2^3*g3^6) + (g3^2*t^4.204)/g2^10 + t^4.225/(g2^4*g3^4) + (g2^2*t^4.247)/g3^10 + (g1*g3^2*t^4.905)/g2 + (g3^4*t^4.933)/g2^2 + g2*g3*t^4.944 + (g2^4*t^4.954)/g3^2 + g2^6*g3^6*t^5.662 + (g1^2*g3^2*t^5.922)/g2^4 + (g1^2*t^5.933)/(g2*g3) + (g1*g3^4*t^5.951)/g2^5 + (2*g1*g3*t^5.961)/g2^2 + (g1*g2^4*t^5.982)/g3^5 + (2*g3^3*t^5.989)/g2^3 - 3*t^6. + (g2^3*t^6.011)/g3^3 + (g3^5*t^6.018)/(g1*g2^4) - (g3^2*t^6.028)/(g1*g2) + (g1^3*t^6.221)/(g2^12*g3^3) + (g1^2*t^6.25)/(g2^13*g3) + (g1^2*t^6.271)/(g2^7*g3^7) + (g1*g3*t^6.278)/g2^14 + (g1*t^6.299)/(g2^8*g3^5) + (g3^3*t^6.306)/g2^15 + (g1*t^6.32)/(g2^2*g3^11) + t^6.327/(g2^9*g3^3) + t^6.349/(g2^3*g3^9) + (g2^3*t^6.37)/g3^15 + g1*g2^3*g3^6*t^6.679 + g1*g2^6*g3^3*t^6.69 + 2*g2^5*g3^5*t^6.718 + (g2^4*g3^7*t^6.747)/g1 + (g1^2*g3*t^6.979)/g2^5 + (g1*g3^3*t^7.007)/g2^6 + (g3^5*t^7.035)/g2^7 - t^7.056/(g2*g3) + (g2^5*t^7.077)/g3^7 - (g3*t^7.085)/(g1*g2^2) - (g2*t^7.095)/(g1*g3^2) + g1^2*g3^6*t^7.697 + g1^2*g2^3*g3^3*t^7.707 + g1^2*g2^6*t^7.718 + 2*g1*g2^2*g3^5*t^7.736 + g1*g2^5*g3^2*t^7.746 + g2*g3^7*t^7.764 + 2*g2^4*g3^4*t^7.775 + (g2^3*g3^6*t^7.803)/g1 - (g2^6*g3^3*t^7.814)/g1 + (g2^2*g3^8*t^7.831)/g1^2 + (g1^3*g3*t^7.996)/g2^8 + (g1^3*t^8.007)/(g2^5*g3^2) + (g1^2*g3^3*t^8.024)/g2^9 + (2*g1^2*t^8.035)/g2^6 + (g1*g3^5*t^8.053)/g2^10 + (g1^2*t^8.056)/g3^6 + (2*g1*g3^2*t^8.063)/g2^7 - (3*g1*t^8.074)/(g2^4*g3) + (g1*t^8.084)/(g2*g3^4) + (2*g3^4*t^8.092)/g2^8 - (4*g3*t^8.102)/g2^5 + (g1*g2^5*t^8.105)/g3^10 + t^8.113/(g2^2*g3^2) + (g3^6*t^8.12)/(g1*g2^9) - (3*g2*t^8.123)/g3^5 - (g3^3*t^8.13)/(g1*g2^6) + (g2^4*t^8.134)/g3^8 - t^8.152/(g1*g3^3) + (g1^4*t^8.295)/(g2^16*g3^4) + (g1^3*t^8.323)/(g2^17*g3^2) + (g1^3*t^8.345)/(g2^11*g3^8) + (g1^2*t^8.352)/g2^18 + (g1^2*t^8.373)/(g2^12*g3^6) + (g1*g3^2*t^8.38)/g2^19 + (g1^2*t^8.394)/(g2^6*g3^12) + (g1*t^8.401)/(g2^13*g3^4) + (g3^4*t^8.408)/g2^20 + (g1*t^8.422)/(g2^7*g3^10) + t^8.43/(g2^14*g3^2) + (g1*t^8.444)/(g2*g3^16) + t^8.451/(g2^8*g3^8) + t^8.472/(g2^2*g3^14) + (g2^4*t^8.493)/g3^20 + g2^9*g3^9*t^8.493 + (g1^2*g3^5*t^8.753)/g2 + g1^2*g2^2*g3^2*t^8.764 + (g1*g3^7*t^8.781)/g2^2 + 2*g1*g2*g3^4*t^8.792 + (g1*g2^7*t^8.813)/g3^2 + g3^6*t^8.82 - 3*g2^3*g3^3*t^8.831 + (g3^8*t^8.849)/(g1*g2) - (g2^2*g3^5*t^8.859)/g1 - (g2^5*g3^2*t^8.87)/g1 - t^4.056/(g2*g3*y) - (g1*t^6.13)/(g2^5*g3^2*y) - t^6.158/(g2^6*y) - t^6.18/(g3^6*y) + (g1*t^7.176)/(g2^9*y) + (g1*t^7.197)/(g2^3*g3^6*y) + t^7.225/(g2^4*g3^4*y) + (g1*g3^2*t^7.905)/(g2*y) + (2*g3^4*t^7.933)/(g2^2*y) + (2*g2^4*t^7.954)/(g3^2*y) + (g2^3*t^7.983)/(g1*y) - (g1^2*t^8.204)/(g2^9*g3^3*y) - (g1*t^8.232)/(g2^10*g3*y) - (g1*t^8.253)/(g2^4*g3^7*y) - (g3*t^8.261)/(g2^11*y) - t^8.282/(g2^5*g3^5*y) - (g2*t^8.303)/(g3^11*y) + (g1^2*g3^2*t^8.922)/(g2^4*y) + (g1^2*t^8.933)/(g2*g3*y) + (g1*g3^4*t^8.951)/(g2^5*y) + (3*g1*g3*t^8.961)/(g2^2*y) + (g1*g2*t^8.972)/(g3^2*y) + (g1*g2^4*t^8.982)/(g3^5*y) + (3*g3^3*t^8.989)/(g2^3*y) - (t^4.056*y)/(g2*g3) - (g1*t^6.13*y)/(g2^5*g3^2) - (t^6.158*y)/g2^6 - (t^6.18*y)/g3^6 + (g1*t^7.176*y)/g2^9 + (g1*t^7.197*y)/(g2^3*g3^6) + (t^7.225*y)/(g2^4*g3^4) + (g1*g3^2*t^7.905*y)/g2 + (2*g3^4*t^7.933*y)/g2^2 + (2*g2^4*t^7.954*y)/g3^2 + (g2^3*t^7.983*y)/g1 - (g1^2*t^8.204*y)/(g2^9*g3^3) - (g1*t^8.232*y)/(g2^10*g3) - (g1*t^8.253*y)/(g2^4*g3^7) - (g3*t^8.261*y)/g2^11 - (t^8.282*y)/(g2^5*g3^5) - (g2*t^8.303*y)/g3^11 + (g1^2*g3^2*t^8.922*y)/g2^4 + (g1^2*t^8.933*y)/(g2*g3) + (g1*g3^4*t^8.951*y)/g2^5 + (3*g1*g3*t^8.961*y)/g2^2 + (g1*g2*t^8.972*y)/g3^2 + (g1*g2^4*t^8.982*y)/g3^5 + (3*g3^3*t^8.989*y)/g2^3

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
282	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$	0.5924	0.7275	0.8144	[M:[1.0, 1.2265, 0.7021, 0.845], q:[0.6159, 0.9974], qb:[0.3841, 0.4556], 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
285	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{5}$	0.6284	0.7608	0.826	[M:[0.692, 1.2853, 0.7375, 0.692, 1.2625], q:[0.8327, 0.81], qb:[0.4753, 0.4526], phi:[0.3574]]	2*t^2.076 + t^2.784 + 2*t^3.788 + 4*t^3.856 + 3*t^4.152 + 2*t^4.86 + t^4.928 + t^5.567 + 4*t^5.864 + 6*t^5.932 - 5*t^6. - t^4.072/y - t^4.072*y	detail
1725	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$	0.6484	0.7956	0.815	[M:[0.6992, 1.297, 0.6992, 0.7069], q:[0.83, 0.8185], qb:[0.4708, 0.4746], 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

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
114	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$	0.6281	0.7586	0.8281	[M:[0.7009, 1.2889, 0.7009], q:[0.8375, 0.807], qb:[0.4616, 0.4718], phi:[0.3555]]	2*t^2.103 + t^2.8 + t^3.806 + 2*t^3.836 + 2*t^3.867 + t^3.928 + 3*t^4.205 + 2*t^4.903 + t^4.933 + t^5.6 + 2*t^5.909 + 3*t^5.939 + 2*t^5.97 - 3*t^6. - t^4.067/y - t^4.067*y	detail