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
4240	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$	0.6824	0.8623	0.7914	[M:[1.1216, 0.7314, 0.8784, 0.8784, 1.2196, 0.7314, 0.6824, 0.8294], q:[0.8049, 0.5127], qb:[0.3657, 0.7559], phi:[0.3902]]	[M:[[16], [14], [-16], [-16], [-4], [14], [24], [-6]], q:[[-1], [-23]], qb:[[7], [9]], phi:[[2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{6}M_{8}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{8}$, ${ }M_{4}M_{8}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{8}$	${}$	-2	t^2.047 + 2*t^2.194 + t^2.488 + 2*t^2.635 + t^3.365 + t^3.659 + t^4.094 + 2*t^4.241 + t^4.247 + 3*t^4.388 + 2*t^4.535 + 5*t^4.682 + 3*t^4.829 + 2*t^4.976 + 2*t^5.124 + 2*t^5.271 + t^5.412 + t^5.559 + 2*t^5.706 + 2*t^5.853 - 2*t^6. + t^6.141 + 2*t^6.288 + 2*t^6.294 + 3*t^6.435 + 6*t^6.582 + 6*t^6.729 + t^6.735 + 7*t^6.876 + 2*t^6.882 + 6*t^7.024 + 5*t^7.171 + 5*t^7.318 + t^7.459 + 4*t^7.465 + t^7.606 + 2*t^7.612 + 3*t^7.753 + t^7.759 + 4*t^7.9 + 2*t^7.906 + t^8.188 - 5*t^8.194 + 2*t^8.335 + 2*t^8.341 + 3*t^8.482 - 4*t^8.488 + t^8.494 + 6*t^8.629 - 5*t^8.635 + 11*t^8.776 + 8*t^8.924 + 2*t^8.929 - t^4.171/y - t^6.218/y - (2*t^6.365)/y - t^6.659/y - t^6.806/y + (2*t^7.241)/y + t^7.388/y + (2*t^7.535)/y + (5*t^7.682)/y + (4*t^7.829)/y + (2*t^7.976)/y + (3*t^8.124)/y - t^8.265/y + t^8.271/y - t^8.412/y - t^8.559/y - t^4.171*y - t^6.218*y - 2*t^6.365*y - t^6.659*y - t^6.806*y + 2*t^7.241*y + t^7.388*y + 2*t^7.535*y + 5*t^7.682*y + 4*t^7.829*y + 2*t^7.976*y + 3*t^8.124*y - t^8.265*y + t^8.271*y - t^8.412*y - t^8.559*y	g1^24*t^2.047 + 2*g1^14*t^2.194 + t^2.488/g1^6 + (2*t^2.635)/g1^16 + g1^16*t^3.365 + t^3.659/g1^4 + g1^48*t^4.094 + 2*g1^38*t^4.241 + t^4.247/g1^44 + 3*g1^28*t^4.388 + 2*g1^18*t^4.535 + 5*g1^8*t^4.682 + (3*t^4.829)/g1^2 + (2*t^4.976)/g1^12 + (2*t^5.124)/g1^22 + (2*t^5.271)/g1^32 + g1^40*t^5.412 + g1^30*t^5.559 + 2*g1^20*t^5.706 + 2*g1^10*t^5.853 - 2*t^6. + g1^72*t^6.141 + 2*g1^62*t^6.288 + (2*t^6.294)/g1^20 + 3*g1^52*t^6.435 + 6*g1^42*t^6.582 + 6*g1^32*t^6.729 + t^6.735/g1^50 + 7*g1^22*t^6.876 + (2*t^6.882)/g1^60 + 6*g1^12*t^7.024 + 5*g1^2*t^7.171 + (5*t^7.318)/g1^8 + g1^64*t^7.459 + (4*t^7.465)/g1^18 + g1^54*t^7.606 + (2*t^7.612)/g1^28 + 3*g1^44*t^7.753 + t^7.759/g1^38 + 4*g1^34*t^7.9 + (2*t^7.906)/g1^48 + g1^96*t^8.188 - 5*g1^14*t^8.194 + 2*g1^86*t^8.335 + 2*g1^4*t^8.341 + 3*g1^76*t^8.482 - (4*t^8.488)/g1^6 + t^8.494/g1^88 + 6*g1^66*t^8.629 - (5*t^8.635)/g1^16 + 11*g1^56*t^8.776 + 8*g1^46*t^8.924 + (2*t^8.929)/g1^36 - (g1^2*t^4.171)/y - (g1^26*t^6.218)/y - (2*g1^16*t^6.365)/y - t^6.659/(g1^4*y) - t^6.806/(g1^14*y) + (2*g1^38*t^7.241)/y + (g1^28*t^7.388)/y + (2*g1^18*t^7.535)/y + (5*g1^8*t^7.682)/y + (4*t^7.829)/(g1^2*y) + (2*t^7.976)/(g1^12*y) + (3*t^8.124)/(g1^22*y) - (g1^50*t^8.265)/y + t^8.271/(g1^32*y) - (g1^40*t^8.412)/y - (g1^30*t^8.559)/y - g1^2*t^4.171*y - g1^26*t^6.218*y - 2*g1^16*t^6.365*y - (t^6.659*y)/g1^4 - (t^6.806*y)/g1^14 + 2*g1^38*t^7.241*y + g1^28*t^7.388*y + 2*g1^18*t^7.535*y + 5*g1^8*t^7.682*y + (4*t^7.829*y)/g1^2 + (2*t^7.976*y)/g1^12 + (3*t^8.124*y)/g1^22 - g1^50*t^8.265*y + (t^8.271*y)/g1^32 - g1^40*t^8.412*y - g1^30*t^8.559*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
5722	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ + ${ }M_{7}M_{9}$	0.6617	0.8218	0.8052	[M:[1.1241, 0.7336, 0.8759, 0.8759, 1.219, 0.7336, 0.6862, 0.8285, 1.3138], q:[0.8047, 0.5091], qb:[0.3668, 0.7573], phi:[0.3905]]	2*t^2.201 + t^2.485 + 2*t^2.628 + t^3.372 + t^3.657 + t^3.941 + t^4.226 + 3*t^4.402 + t^4.544 + 3*t^4.686 + 3*t^4.828 + 2*t^4.971 + 2*t^5.113 + 2*t^5.255 + t^5.573 + t^5.715 + 2*t^5.858 - 2*t^6. - t^4.172/y - t^4.172*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
2243	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}q_{2}$	0.6679	0.8375	0.7975	[M:[1.1174, 0.7277, 0.8826, 0.8826, 1.2207, 0.7277, 0.6761], q:[0.8052, 0.5188], qb:[0.3639, 0.7535], phi:[0.3897]]	t^2.028 + 2*t^2.183 + 2*t^2.648 + t^3.352 + t^3.507 + t^3.662 + t^4.056 + 2*t^4.211 + t^4.282 + 3*t^4.366 + t^4.521 + 3*t^4.676 + 3*t^4.831 + t^4.986 + 2*t^5.296 + t^5.38 + 2*t^5.535 + 4*t^5.69 + t^5.845 - 2*t^6. - t^4.169/y - t^4.169*y	detail