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
57958	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$	1.3636	1.5415	0.8846	[X:[1.4362], M:[0.8458, 0.8458, 0.8458], q:[0.4362, 0.7181], qb:[0.7181, 0.4362], phi:[0.2819]]	[X:[[0, 0, 2]], M:[[-1, 1, -4], [1, -1, -2], [0, 0, -3]], q:[[0, -1, 4], [-1, 0, 2]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{3}$, ${ }\phi_{1}^{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}M_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{3}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$	${}$	-5	4*t^2.54 + t^2.62 + 5*t^4.31 + 10*t^5.07 + 5*t^5.15 + t^5.23 + 2*t^5.62 - 5*t^6. + 6*t^6.46 + 13*t^6.85 + 5*t^6.93 + 20*t^7.61 + 11*t^7.69 + 4*t^7.77 + t^7.85 + 2*t^8.23 - 18*t^8.54 + 6*t^8.62 + t^8.54/y^2 - t^3.85/y - t^4.69/y - (4*t^6.38)/y - t^6.46/y - (4*t^7.23)/y + (6*t^8.07)/y + (3*t^8.15)/y - (10*t^8.92)/y - t^3.85*y - t^4.69*y - 4*t^6.38*y - t^6.46*y - 4*t^7.23*y + 6*t^8.07*y + 3*t^8.15*y - 10*t^8.92*y + t^8.54*y^2	(g2*t^2.54)/(g1*g3^4) + (2*t^2.54)/g3^3 + (g1*t^2.54)/(g2*g3^2) + g3^4*t^2.62 + (g2*g3*t^4.31)/g1 + 3*g3^2*t^4.31 + (g1*g3^3*t^4.31)/g2 + (g2^2*t^5.07)/(g1^2*g3^8) + (2*g2*t^5.07)/(g1*g3^7) + (4*t^5.07)/g3^6 + (2*g1*t^5.07)/(g2*g3^5) + (g1^2*t^5.07)/(g2^2*g3^4) + (g2*t^5.15)/g1 + 3*g3*t^5.15 + (g1*g3^2*t^5.15)/g2 + g3^8*t^5.23 + (g1*g2^2*t^5.62)/g3 + (g3^9*t^5.62)/(g1*g2^2) - 3*t^6. - (g2*t^6.)/(g1*g3) - (g1*g3*t^6.)/g2 + (g2^3*t^6.46)/g3^3 + (g1*g2^2*t^6.46)/g3^2 + (g1^2*g2*t^6.46)/g3 + (g3^7*t^6.46)/(g1^2*g2) + (g3^8*t^6.46)/(g1*g2^2) + (g3^9*t^6.46)/g2^3 + (3*g1*t^6.85)/g2 + (g2^2*t^6.85)/(g1^2*g3^3) + (3*g2*t^6.85)/(g1*g3^2) + (5*t^6.85)/g3 + (g1^2*g3*t^6.85)/g2^2 + (g2*g3^5*t^6.93)/g1 + 3*g3^6*t^6.93 + (g1*g3^7*t^6.93)/g2 + (g2^3*t^7.61)/(g1^3*g3^12) + (2*g2^2*t^7.61)/(g1^2*g3^11) + (4*g2*t^7.61)/(g1*g3^10) + (6*t^7.61)/g3^9 + (4*g1*t^7.61)/(g2*g3^8) + (2*g1^2*t^7.61)/(g2^2*g3^7) + (g1^3*t^7.61)/(g2^3*g3^6) + (g1^2*t^7.69)/g2^2 + (g2^2*t^7.69)/(g1^2*g3^4) + (2*g2*t^7.69)/(g1*g3^3) + (5*t^7.69)/g3^2 + (2*g1*t^7.69)/(g2*g3) + (g2*g3^4*t^7.77)/g1 + 2*g3^5*t^7.77 + (g1*g3^6*t^7.77)/g2 + g3^12*t^7.85 + g1*g2^2*g3^3*t^8.23 + (g3^13*t^8.23)/(g1*g2^2) - (g2^2*t^8.54)/(g1^2*g3^5) - (5*g2*t^8.54)/(g1*g3^4) - (6*t^8.54)/g3^3 - (5*g1*t^8.54)/(g2*g3^2) - (g1^2*t^8.54)/(g2^2*g3) + (g2^2*g3^2*t^8.62)/g1^2 + (g2*g3^3*t^8.62)/g1 + 2*g3^4*t^8.62 + (g1*g3^5*t^8.62)/g2 + (g1^2*g3^6*t^8.62)/g2^2 + t^8.54/(g3^3*y^2) - t^3.85/(g3*y) - t^4.69/(g3^2*y) - (g2*t^6.38)/(g1*g3^5*y) - (2*t^6.38)/(g3^4*y) - (g1*t^6.38)/(g2*g3^3*y) - (g3^3*t^6.46)/y - (g2*t^7.23)/(g1*g3^6*y) - (2*t^7.23)/(g3^5*y) - (g1*t^7.23)/(g2*g3^4*y) + (2*g2*t^8.07)/(g1*g3^7*y) + (2*t^8.07)/(g3^6*y) + (2*g1*t^8.07)/(g2*g3^5*y) + (g2*t^8.15)/(g1*y) + (g3*t^8.15)/y + (g1*g3^2*t^8.15)/(g2*y) - (g2^2*t^8.92)/(g1^2*g3^9*y) - (2*g2*t^8.92)/(g1*g3^8*y) - (4*t^8.92)/(g3^7*y) - (2*g1*t^8.92)/(g2*g3^6*y) - (g1^2*t^8.92)/(g2^2*g3^5*y) - (t^3.85*y)/g3 - (t^4.69*y)/g3^2 - (g2*t^6.38*y)/(g1*g3^5) - (2*t^6.38*y)/g3^4 - (g1*t^6.38*y)/(g2*g3^3) - g3^3*t^6.46*y - (g2*t^7.23*y)/(g1*g3^6) - (2*t^7.23*y)/g3^5 - (g1*t^7.23*y)/(g2*g3^4) + (2*g2*t^8.07*y)/(g1*g3^7) + (2*t^8.07*y)/g3^6 + (2*g1*t^8.07*y)/(g2*g3^5) + (g2*t^8.15*y)/g1 + g3*t^8.15*y + (g1*g3^2*t^8.15*y)/g2 - (g2^2*t^8.92*y)/(g1^2*g3^9) - (2*g2*t^8.92*y)/(g1*g3^8) - (4*t^8.92*y)/g3^7 - (2*g1*t^8.92*y)/(g2*g3^6) - (g1^2*t^8.92*y)/(g2^2*g3^5) + (t^8.54*y^2)/g3^3

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
60939	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$	1.3286	1.5131	0.8781	[X:[1.3658], M:[0.8541, 1.0486, 0.9514], q:[0.3982, 0.618], qb:[0.7477, 0.3333], phi:[0.3171]]	t^2.19 + t^2.56 + 2*t^2.85 + t^3.15 + t^3.81 + 3*t^4.1 + 2*t^4.39 + t^4.76 + 3*t^5.05 + t^5.12 + 2*t^5.19 + t^5.34 + 2*t^5.42 + 3*t^5.71 + 2*t^5.85 - t^3.95/y - t^4.9/y - t^3.95*y - t^4.9*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
57303	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$	1.3509	1.5213	0.888	[X:[1.4242], M:[0.8636, 0.8636], q:[0.4242, 0.7121], qb:[0.7121, 0.4242], phi:[0.2879]]	t^2.545 + 3*t^2.591 + t^3.409 + 5*t^4.273 + t^5.091 + 4*t^5.136 + 6*t^5.182 + 2*t^5.545 + t^5.955 - 2*t^6. - t^3.864/y - t^4.727/y - t^3.864*y - t^4.727*y	detail	{a: 951/704, c: 1071/704, X1: 47/33, M1: 19/22, M2: 19/22, q1: 14/33, q2: 47/66, qb1: 47/66, qb2: 14/33, phi1: 19/66}