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
1001	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}M_{7}$ + ${ }\phi_{1}^{4}$	0.6994	0.8663	0.8073	[M:[1.0572, 0.9428, 0.9428, 1.0572, 0.9428, 0.9428, 0.9428], q:[0.4714, 0.4714], qb:[0.5858, 0.4714], phi:[0.5]]	[M:[[0, 1, 1], [0, -1, -1], [1, 0, 1], [-1, 0, -1], [-1, -1, 0], [0, -1, -1], [1, 0, 1]], q:[[-1, -1, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, 0, 0]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$	${}$	-10	6*t^2.828 + t^3. + 6*t^4.328 + 3*t^4.672 + t^5.015 + 18*t^5.657 + 6*t^5.828 - 10*t^6. - 3*t^6.343 + 30*t^7.157 + 40*t^8.485 + 33*t^8.657 - 54*t^8.828 - t^4.5/y - (3*t^7.328)/y + (3*t^7.672)/y + (15*t^8.657)/y + (6*t^8.828)/y - t^4.5*y - 3*t^7.328*y + 3*t^7.672*y + 15*t^8.657*y + 6*t^8.828*y	(2*t^2.828)/(g1*g2) + (2*t^2.828)/(g2*g3) + 2*g1*g3*t^2.828 + t^3. + g1^2*t^4.328 + t^4.328/(g1*g2) + t^4.328/(g1^2*g2^2*g3^2) + t^4.328/(g2*g3) + g1*g3*t^4.328 + g3^2*t^4.328 + g1*g2*t^4.672 + t^4.672/(g1*g3) + g2*g3*t^4.672 + g2^2*t^5.015 + (3*t^5.657)/(g1^2*g2^2) + (3*g1*t^5.657)/g2 + (3*t^5.657)/(g2^2*g3^2) + (3*t^5.657)/(g1*g2^2*g3) + (3*g3*t^5.657)/g2 + 3*g1^2*g3^2*t^5.657 + (2*t^5.828)/(g1*g2) + (2*t^5.828)/(g2*g3) + 2*g1*g3*t^5.828 - 4*t^6. - t^6./(g1*g2*g3^2) - (g1*t^6.)/g3 - t^6./(g1^2*g2*g3) - (g3*t^6.)/g1 - g1^2*g2*g3*t^6. - g1*g2*g3^2*t^6. - (g2*t^6.343)/g1 - (g2*t^6.343)/g3 - g1*g2^2*g3*t^6.343 + (2*t^7.157)/(g1^2*g2^2) + (4*g1*t^7.157)/g2 + (2*t^7.157)/(g1^2*g2^3*g3^3) + (2*t^7.157)/(g1^3*g2^3*g3^2) + (2*t^7.157)/(g2^2*g3^2) + (4*t^7.157)/(g1*g2^2*g3) + (2*g1^2*t^7.157)/(g2*g3) + 2*g1^3*g3*t^7.157 + (4*g3*t^7.157)/g2 + 2*g1^2*g3^2*t^7.157 + (2*g3^2*t^7.157)/(g1*g2) + 2*g1*g3^3*t^7.157 + (4*t^8.485)/(g1^3*g2^3) + (4*t^8.485)/g2^2 + (4*t^8.485)/(g2^3*g3^3) + (4*t^8.485)/(g1*g2^3*g3^2) + (4*t^8.485)/(g1^2*g2^3*g3) + (4*g1*t^8.485)/(g2^2*g3) + (4*g3*t^8.485)/(g1*g2^2) + (4*g1^2*g3*t^8.485)/g2 + (4*g1*g3^2*t^8.485)/g2 + 4*g1^3*g3^3*t^8.485 + g1^4*t^8.657 + (4*t^8.657)/(g1^2*g2^2) + (4*g1*t^8.657)/g2 + t^8.657/(g1^4*g2^4*g3^4) + t^8.657/(g1^2*g2^3*g3^3) + t^8.657/(g1^3*g2^3*g3^2) + (4*t^8.657)/(g2^2*g3^2) + (4*t^8.657)/(g1*g2^2*g3) + (g1^2*t^8.657)/(g2*g3) + g1^3*g3*t^8.657 + (4*g3*t^8.657)/g2 + 4*g1^2*g3^2*t^8.657 + (g3^2*t^8.657)/(g1*g2) + g1*g3^3*t^8.657 + g3^4*t^8.657 - 4*g1^2*t^8.828 - (10*t^8.828)/(g1*g2) - (2*t^8.828)/(g1*g2^2*g3^3) - (4*t^8.828)/(g1^2*g2^2*g3^2) - (2*g1*t^8.828)/(g2*g3^2) - (2*t^8.828)/(g1^3*g2^2*g3) - (10*t^8.828)/(g2*g3) - 10*g1*g3*t^8.828 - (2*g3*t^8.828)/(g1^2*g2) - 4*g3^2*t^8.828 - 2*g1^3*g2*g3^2*t^8.828 - 2*g1^2*g2*g3^3*t^8.828 - t^4.5/y - t^7.328/(g1*g2*y) - t^7.328/(g2*g3*y) - (g1*g3*t^7.328)/y + (g1*g2*t^7.672)/y + t^7.672/(g1*g3*y) + (g2*g3*t^7.672)/y + t^8.657/(g1^2*g2^2*y) + (4*g1*t^8.657)/(g2*y) + t^8.657/(g2^2*g3^2*y) + (4*t^8.657)/(g1*g2^2*g3*y) + (4*g3*t^8.657)/(g2*y) + (g1^2*g3^2*t^8.657)/y + (2*t^8.828)/(g1*g2*y) + (2*t^8.828)/(g2*g3*y) + (2*g1*g3*t^8.828)/y - t^4.5*y - (t^7.328*y)/(g1*g2) - (t^7.328*y)/(g2*g3) - g1*g3*t^7.328*y + g1*g2*t^7.672*y + (t^7.672*y)/(g1*g3) + g2*g3*t^7.672*y + (t^8.657*y)/(g1^2*g2^2) + (4*g1*t^8.657*y)/g2 + (t^8.657*y)/(g2^2*g3^2) + (4*t^8.657*y)/(g1*g2^2*g3) + (4*g3*t^8.657*y)/g2 + g1^2*g3^2*t^8.657*y + (2*t^8.828*y)/(g1*g2) + (2*t^8.828*y)/(g2*g3) + 2*g1*g3*t^8.828*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
2110	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}M_{7}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$	0.6719	0.8594	0.7818	[M:[1.1667, 0.8333, 0.8333, 1.1667, 0.8333, 0.8333, 0.8333], q:[0.4167, 0.4167], qb:[0.75, 0.4167], phi:[0.5]]	6*t^2.5 + t^3. + 6*t^4. + 21*t^5. + 6*t^5.5 - 9*t^6. - t^4.5/y - t^4.5*y	detail	{a: 43/64, c: 55/64, M1: 7/6, M2: 5/6, M3: 5/6, M4: 7/6, M5: 5/6, M6: 5/6, M7: 5/6, q1: 5/12, q2: 5/12, qb1: 3/4, qb2: 5/12, phi1: 1/2}

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
614	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}M_{7}$	0.7577	0.9271	0.8174	[M:[0.8388, 0.7655, 0.7655, 0.8388, 0.7655, 1.1612, 1.1612], q:[0.5806, 0.5806], qb:[0.6539, 0.5806], phi:[0.4011]]	3*t^2.296 + t^2.406 + 3*t^3.484 + 6*t^4.593 + 6*t^4.687 + 3*t^4.703 + t^4.813 + 3*t^4.907 + t^5.127 + 6*t^5.78 + 3*t^5.89 - 10*t^6. - t^4.203/y - t^4.203*y	detail