Processing math: 100%

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 H0+H1 (not completed) E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Search for theories with rational R-charges and central 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

#	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
46196	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$	0.6169	0.7615	0.8102	[X:[1.6], M:[1.2, 0.4, 0.7434, 0.7434], q:[0.4283, 0.3717], qb:[0.8283, 0.7717], phi:[0.4]]	[X:[[0, 0]], M:[[0, 0], [0, 0], [2, 0], [1, 1]], q:[[-1, 0], [1, 0]], qb:[[0, -1], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$	${}\phi_{1}^{3}q_{1}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$	-1	2*t^2.23 + t^2.4 + 2*t^3.43 + 4*t^3.6 + 3*t^4.46 + 2*t^4.63 + 2*t^4.8 + 4*t^5.66 + 8*t^5.83 - t^6. - 2*t^6.17 + 4*t^6.691 + 6*t^6.86 + 8*t^7.03 + 3*t^7.2 - 4*t^7.37 + 6*t^7.891 + 12*t^8.06 - 2*t^8.23 - 4*t^8.4 - 4*t^8.57 + 5*t^8.921 - t^4.2/y - (2*t^6.43)/y + t^7.46/y + (2*t^7.63)/y + (2*t^7.97)/y + t^8.66/y + (10*t^8.83)/y - t^4.2*y - 2*t^6.43*y + t^7.46*y + 2*t^7.63*y + 2*t^7.97*y + t^8.66*y + 10*t^8.83*y	g1^2*t^2.23 + g1*g2*t^2.23 + t^2.4 + g1^2*t^3.43 + g1*g2*t^3.43 + 2*t^3.6 + (g1*t^3.6)/g2 + (g2*t^3.6)/g1 + g1^4*t^4.46 + g1^3*g2*t^4.46 + g1^2*g2^2*t^4.46 + g1^2*t^4.63 + g1*g2*t^4.63 + 2*t^4.8 + g1^4*t^5.66 + 2*g1^3*g2*t^5.66 + g1^2*g2^2*t^5.66 + 3*g1^2*t^5.83 + (g1^3*t^5.83)/g2 + 3*g1*g2*t^5.83 + g2^2*t^5.83 - t^6. - t^6.17/g1^2 - t^6.17/(g1*g2) + g1^6*t^6.691 + g1^5*g2*t^6.691 + g1^4*g2^2*t^6.691 + g1^3*g2^3*t^6.691 + 2*g1^4*t^6.86 + 2*g1^3*g2*t^6.86 + 2*g1^2*g2^2*t^6.86 + 3*g1^2*t^7.03 + (g1^3*t^7.03)/g2 + 3*g1*g2*t^7.03 + g2^2*t^7.03 + t^7.2 + (g1^2*t^7.2)/g2^2 + (g2^2*t^7.2)/g1^2 - (2*t^7.37)/g1^2 - (2*t^7.37)/(g1*g2) + g1^6*t^7.891 + 2*g1^5*g2*t^7.891 + 2*g1^4*g2^2*t^7.891 + g1^3*g2^3*t^7.891 + 3*g1^4*t^8.06 + (g1^5*t^8.06)/g2 + 4*g1^3*g2*t^8.06 + 3*g1^2*g2^2*t^8.06 + g1*g2^3*t^8.06 - g1^2*t^8.23 - g1*g2*t^8.23 - 2*t^8.4 - (g1*t^8.4)/g2 - (g2*t^8.4)/g1 - (2*t^8.57)/g1^2 - (2*t^8.57)/(g1*g2) + g1^8*t^8.921 + g1^7*g2*t^8.921 + g1^6*g2^2*t^8.921 + g1^5*g2^3*t^8.921 + g1^4*g2^4*t^8.921 - t^4.2/y - (g1^2*t^6.43)/y - (g1*g2*t^6.43)/y + (g1^3*g2*t^7.46)/y + (g1^2*t^7.63)/y + (g1*g2*t^7.63)/y + t^7.97/(g1^2*y) + t^7.97/(g1*g2*y) + (g1^3*g2*t^8.66)/y + (4*g1^2*t^8.83)/y + (g1^3*t^8.83)/(g2*y) + (4*g1*g2*t^8.83)/y + (g2^2*t^8.83)/y - t^4.2*y - g1^2*t^6.43*y - g1*g2*t^6.43*y + g1^3*g2*t^7.46*y + g1^2*t^7.63*y + g1*g2*t^7.63*y + (t^7.97*y)/g1^2 + (t^7.97*y)/(g1*g2) + g1^3*g2*t^8.66*y + 4*g1^2*t^8.83*y + (g1^3*t^8.83*y)/g2 + 4*g1*g2*t^8.83*y + g2^2*t^8.83*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

#	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
46374	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$	0.6162	0.7594	0.8115	[X:[1.6], M:[1.2, 0.4, 0.7698, 0.7397], q:[0.4151, 0.3849], qb:[0.8453, 0.7547], phi:[0.4]]	t^2.219 + t^2.309 + t^2.4 + t^3.419 + 2*t^3.509 + 2*t^3.6 + t^3.691 + t^4.438 + t^4.528 + 2*t^4.619 + t^4.709 + 2*t^4.8 + t^5.638 + 3*t^5.728 + 4*t^5.819 + 3*t^5.909 - t^4.2/y - t^4.2*y	detail
46414	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$	0.6334	0.7905	0.8013	[X:[1.6], M:[1.2, 0.4, 0.7434, 0.7434, 0.8], q:[0.4283, 0.3717], qb:[0.8283, 0.7717], phi:[0.4]]	2*t^2.23 + 2*t^2.4 + 2*t^3.43 + 3*t^3.6 + 3*t^4.46 + 4*t^4.63 + 4*t^4.8 + 4*t^5.66 + 8*t^5.83 + t^6. - t^4.2/y - t^4.2*y	detail
46454	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$	0.6312	0.7837	0.8054	[X:[1.6], M:[1.2, 0.4, 0.7599, 0.7866, 0.8134], q:[0.42, 0.38], qb:[0.7933, 0.8067], phi:[0.4]]	t^2.28 + t^2.36 + t^2.4 + t^2.44 + t^3.48 + t^3.52 + 2*t^3.6 + t^3.68 + t^4.559 + t^4.64 + t^4.68 + 2*t^4.72 + t^4.76 + 3*t^4.8 + t^4.84 + t^4.88 + t^5.759 + t^5.8 + t^5.84 + 3*t^5.88 + t^5.92 + 3*t^5.96 - t^6. - t^4.2/y - t^4.2*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

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
No data available in table

Equivalent Fixed Points from the Same Seed Theory

Below is a list of equivalent fixed points from the same seed theories.

Search in the table:

7102550All entries per page

id	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	More Info.	Rational

Loading...

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

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
45989	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$	0.5983	0.726	0.8241	[X:[1.6], M:[1.2, 0.4, 0.7567], q:[0.4216, 0.3784], qb:[0.8, 0.8], phi:[0.4]]	t^2.27 + t^2.4 + t^3.47 + 2*t^3.535 + 2*t^3.6 + 2*t^3.665 + t^4.54 + t^4.67 + 2*t^4.8 + t^5.74 + 2*t^5.805 + 2*t^5.87 + 2*t^5.935 - t^6. - t^4.2/y - t^4.2*y	detail