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
3073	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6515	0.8572	0.76	[M:[0.9664, 1.1008, 0.9664, 0.8992, 0.7416, 0.8088, 0.8088], q:[0.7416, 0.292], qb:[0.4496, 0.4496], phi:[0.5168]]	[M:[[4], [-12], [4], [12], [1], [-7], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$	${}M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	-2	3*t^2.225 + 2*t^2.426 + t^2.697 + 2*t^2.899 + t^3.303 + t^3.775 + 3*t^4.248 + 6*t^4.45 + 6*t^4.651 + 3*t^4.853 + 3*t^4.922 + 8*t^5.124 + 4*t^5.326 + t^5.395 + t^5.527 + 2*t^5.597 + 2*t^5.729 + 2*t^5.798 - 2*t^6. + 2*t^6.202 + 6*t^6.473 + t^6.605 + 14*t^6.674 + 8*t^6.876 + 3*t^6.945 + 8*t^7.078 + 9*t^7.147 + 4*t^7.279 + 13*t^7.349 + 11*t^7.55 + 3*t^7.62 + 6*t^7.752 + 6*t^7.821 + 2*t^7.954 + 7*t^8.023 + t^8.092 + 3*t^8.155 - 7*t^8.225 + 2*t^8.294 - 8*t^8.426 + 7*t^8.496 + 3*t^8.628 + 6*t^8.697 + t^8.83 + 10*t^8.899 - t^4.55/y - t^6.775/y - (2*t^6.977)/y + (2*t^7.45)/y + (7*t^7.651)/y + t^7.853/y + (3*t^7.922)/y + (10*t^8.124)/y + (5*t^8.326)/y + (3*t^8.527)/y + (2*t^8.597)/y + (2*t^8.729)/y + t^8.798/y - t^4.55*y - t^6.775*y - 2*t^6.977*y + 2*t^7.45*y + 7*t^7.651*y + t^7.853*y + 3*t^7.922*y + 10*t^8.124*y + 5*t^8.326*y + 3*t^8.527*y + 2*t^8.597*y + 2*t^8.729*y + t^8.798*y	3*g1*t^2.225 + (2*t^2.426)/g1^7 + g1^12*t^2.697 + 2*g1^4*t^2.899 + t^3.303/g1^12 + t^3.775/g1 + 3*g1^10*t^4.248 + 6*g1^2*t^4.45 + (6*t^4.651)/g1^6 + (3*t^4.853)/g1^14 + 3*g1^13*t^4.922 + 8*g1^5*t^5.124 + (4*t^5.326)/g1^3 + g1^24*t^5.395 + t^5.527/g1^11 + 2*g1^16*t^5.597 + (2*t^5.729)/g1^19 + 2*g1^8*t^5.798 - 2*t^6. + (2*t^6.202)/g1^8 + 6*g1^11*t^6.473 + t^6.605/g1^24 + 14*g1^3*t^6.674 + (8*t^6.876)/g1^5 + 3*g1^22*t^6.945 + (8*t^7.078)/g1^13 + 9*g1^14*t^7.147 + (4*t^7.279)/g1^21 + 13*g1^6*t^7.349 + (11*t^7.55)/g1^2 + 3*g1^25*t^7.62 + (6*t^7.752)/g1^10 + 6*g1^17*t^7.821 + (2*t^7.954)/g1^18 + 7*g1^9*t^8.023 + g1^36*t^8.092 + (3*t^8.155)/g1^26 - 7*g1*t^8.225 + 2*g1^28*t^8.294 - (8*t^8.426)/g1^7 + 7*g1^20*t^8.496 + (3*t^8.628)/g1^15 + 6*g1^12*t^8.697 + t^8.83/g1^23 + 10*g1^4*t^8.899 - t^4.55/(g1^2*y) - t^6.775/(g1*y) - (2*t^6.977)/(g1^9*y) + (2*g1^2*t^7.45)/y + (7*t^7.651)/(g1^6*y) + t^7.853/(g1^14*y) + (3*g1^13*t^7.922)/y + (10*g1^5*t^8.124)/y + (5*t^8.326)/(g1^3*y) + (3*t^8.527)/(g1^11*y) + (2*g1^16*t^8.597)/y + (2*t^8.729)/(g1^19*y) + (g1^8*t^8.798)/y - (t^4.55*y)/g1^2 - (t^6.775*y)/g1 - (2*t^6.977*y)/g1^9 + 2*g1^2*t^7.45*y + (7*t^7.651*y)/g1^6 + (t^7.853*y)/g1^14 + 3*g1^13*t^7.922*y + 10*g1^5*t^8.124*y + (5*t^8.326*y)/g1^3 + (3*t^8.527*y)/g1^11 + 2*g1^16*t^8.597*y + (2*t^8.729*y)/g1^19 + g1^8*t^8.798*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
4913	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6488	0.856	0.7579	[M:[0.9474, 1.1579, 0.9474, 0.8421, 0.7368, 0.8421, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]]	3*t^2.211 + 3*t^2.526 + 2*t^2.842 + t^3.474 + t^3.789 + 3*t^4.105 + 6*t^4.421 + 9*t^4.737 + 12*t^5.053 + 6*t^5.368 + 3*t^5.684 - t^4.579/y - t^4.579*y	detail	{a: 71199/109744, c: 46971/54872, M1: 18/19, M2: 22/19, M3: 18/19, M4: 16/19, M5: 14/19, M6: 16/19, M7: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19}

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
2018	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6359	0.8312	0.7651	[M:[0.9585, 1.1246, 0.9585, 0.8754, 0.7396, 0.8227], q:[0.7396, 0.3019], qb:[0.4377, 0.4377], phi:[0.5208]]	3*t^2.219 + t^2.468 + t^2.626 + 2*t^2.875 + t^3.374 + t^3.532 + t^3.781 + 3*t^4.189 + 6*t^4.438 + 3*t^4.687 + 3*t^4.845 + t^4.936 + 7*t^5.094 + t^5.253 + 2*t^5.343 + 2*t^5.502 + t^5.593 + 5*t^5.751 + t^5.842 - t^6. - t^4.562/y - t^4.562*y	detail