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
60632	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}^{3}$	1.1866	1.4098	0.8417	[X:[1.5714], M:[1.1429], q:[0.5, 0.2381], qb:[0.5, 0.1905], phi:[0.4286]]	[X:[[0]], M:[[0]], q:[[-1], [0]], qb:[[1], [0]], phi:[[0]]]	1	{a: 52095/43904, c: 61895/43904, X1: 11/7, M1: 8/7, q1: 1/2, q2: 5/21, qb1: 1/2, qb2: 4/21, phi1: 3/7}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$	${}\phi_{1}q_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$	-1	t^2.07 + t^2.21 + t^2.57 + t^3. + t^3.36 + t^3.43 + t^3.5 + 2*t^3.86 + t^3.93 + t^4.14 + t^4.21 + 2*t^4.29 + t^4.43 + 2*t^4.64 + t^4.71 + 2*t^4.79 + t^4.86 + t^5. + t^5.14 + t^5.21 + t^5.43 + 2*t^5.5 + 5*t^5.57 + t^5.64 + t^5.71 + 3*t^5.93 - t^6. + 3*t^6.07 + 2*t^6.14 + t^6.21 + 2*t^6.29 + 2*t^6.36 + 4*t^6.43 + 4*t^6.5 - t^6.57 + t^6.64 + 2*t^6.71 + 2*t^6.79 + 7*t^6.86 + t^6.93 + 3*t^7. + 2*t^7.07 + 5*t^7.21 + t^7.29 + 3*t^7.36 + 3*t^7.43 + t^7.5 + 4*t^7.57 + 4*t^7.64 + 6*t^7.71 + 7*t^7.79 + t^7.86 + t^7.93 + 3*t^8. + 9*t^8.14 + 5*t^8.29 + 8*t^8.36 + 2*t^8.43 + 8*t^8.5 + 3*t^8.57 + 3*t^8.64 + 6*t^8.71 + 6*t^8.86 + 6*t^8.93 - t^4.29/y - t^5.57/y - t^6.36/y - t^6.5/y + t^8.07/y - (2*t^8.14)/y + t^8.21/y + t^8.5/y + (2*t^8.57)/y + t^8.64/y + (2*t^8.93)/y - t^4.29*y - t^5.57*y - t^6.36*y - t^6.5*y + t^8.07*y - 2*t^8.14*y + t^8.21*y + t^8.5*y + 2*t^8.57*y + t^8.64*y + 2*t^8.93*y	t^2.07/g1 + g1*t^2.21 + t^2.57 + t^3. + t^3.36/g1 + t^3.43 + g1*t^3.5 + 2*t^3.86 + g1*t^3.93 + t^4.14/g1^2 + t^4.21/g1 + 2*t^4.29 + g1^2*t^4.43 + (2*t^4.64)/g1 + t^4.71 + 2*g1*t^4.79 + g1^2*t^4.86 + t^5./g1^2 + t^5.14 + g1*t^5.21 + t^5.43/g1^2 + (2*t^5.5)/g1 + 5*t^5.57 + g1*t^5.64 + g1^2*t^5.71 + (3*t^5.93)/g1 - t^6. + 3*g1*t^6.07 + 2*g1^2*t^6.14 + t^6.21/g1^3 + (2*t^6.29)/g1^2 + (2*t^6.36)/g1 + 4*t^6.43 + 4*g1*t^6.5 - g1^2*t^6.57 + g1^3*t^6.64 + (2*t^6.71)/g1^2 + (2*t^6.79)/g1 + 7*t^6.86 + g1*t^6.93 + 3*g1^2*t^7. + t^7.07/g1^3 + g1^3*t^7.07 + (5*t^7.21)/g1 + t^7.29 + 3*g1*t^7.36 + 3*g1^2*t^7.43 + t^7.5/g1^3 + (4*t^7.57)/g1^2 + (4*t^7.64)/g1 + 6*t^7.71 + 7*g1*t^7.79 + g1^2*t^7.86 + g1^3*t^7.93 + (3*t^8.)/g1^2 + 9*t^8.14 + t^8.29/g1^4 + 4*g1^2*t^8.29 + (4*t^8.36)/g1^3 + 4*g1^3*t^8.36 + (2*t^8.43)/g1^2 + (8*t^8.5)/g1 + 3*t^8.57 + 3*g1*t^8.64 + 6*g1^2*t^8.71 + t^8.79/g1^3 - g1^3*t^8.79 + (5*t^8.86)/g1^2 + g1^4*t^8.86 + (6*t^8.93)/g1 - t^4.29/y - t^5.57/y - t^6.36/(g1*y) - (g1*t^6.5)/y + t^8.07/(g1*y) - (2*t^8.14)/y + (g1*t^8.21)/y + t^8.5/(g1*y) + (2*t^8.57)/y + (g1*t^8.64)/y + (2*t^8.93)/(g1*y) - t^4.29*y - t^5.57*y - (t^6.36*y)/g1 - g1*t^6.5*y + (t^8.07*y)/g1 - 2*t^8.14*y + g1*t^8.21*y + (t^8.5*y)/g1 + 2*t^8.57*y + g1*t^8.64*y + (2*t^8.93*y)/g1

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
61267	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}^{3}$ + ${ }M_{2}\phi_{1}^{3}$	1.2068	1.4479	0.8335	[X:[1.5714], M:[1.1429, 0.7143], q:[0.5, 0.2381], qb:[0.5, 0.1905], phi:[0.4286]]	t^2.07 + t^2.14 + t^2.21 + t^2.57 + t^3. + t^3.36 + t^3.43 + t^3.5 + t^3.86 + t^3.93 + t^4.14 + 2*t^4.21 + 3*t^4.29 + t^4.36 + t^4.43 + 2*t^4.64 + 2*t^4.71 + 2*t^4.79 + t^4.86 + t^5. + 2*t^5.14 + t^5.21 + t^5.43 + 3*t^5.5 + 6*t^5.57 + 2*t^5.64 + t^5.71 + 2*t^5.93 - t^4.29/y - t^5.57/y - t^4.29*y - t^5.57*y	detail	{a: 7569/6272, c: 9081/6272, X1: 11/7, M1: 8/7, M2: 5/7, q1: 1/2, q2: 5/21, qb1: 1/2, qb2: 4/21, phi1: 3/7}

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
57469	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$	1.1888	1.412	0.8419	[X:[1.5714], M:[1.1429], q:[0.5, 0.2143], qb:[0.5, 0.2143], phi:[0.4286]]	2*t^2.14 + t^2.57 + t^3. + 3*t^3.43 + 2*t^3.86 + 2*t^4.07 + 4*t^4.29 + 5*t^4.71 + 2*t^4.93 + t^5.14 + 2*t^5.36 + 8*t^5.57 + 2*t^5.79 + 3*t^6. - t^4.29/y - t^5.57/y - t^4.29*y - t^5.57*y	detail	{a: 26097/21952, c: 30997/21952, X1: 11/7, M1: 8/7, q1: 1/2, q2: 3/14, qb1: 1/2, qb2: 3/14, phi1: 3/7}